diff --git "a/data/dm_maths/full_data_2/1302_11255.jsonl" "b/data/dm_maths/full_data_2/1302_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1302_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let w = 336 + -276. Let n = -128 + 160. What is the remainder when w is divided by n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.236 - -0.23. Round r to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -37*t**2 - 10*t - 9. Let w(o) = 112*o**2 + 29*o + 26. Let q(g) = 17*m(g) + 6*w(g). Is q(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from glydhhyylh. What is prob of picking 1 h and 1 g?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/8 - (-106)\/4. Suppose 0 = -0*v - 5*v + f. Let n = -5 + v. Is n at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:05 PM and 10:04 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 3*r + 9 = 3, 5*r = -25. Suppose -s*z - 14*z = z. Solve z + 1\/2*g**3 + 0*g + 1\/6*g**4 + 1\/3*g**2 = 0 for g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3697 - -3716. Solve v*q + 18 = -1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/(i**(2\/11)*i)*i**(-1))\/(i*i\/i**(-2)*i*i*i**4) assuming i is positive.\nAnswer: i**(-112\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -16*c**2 - 522*c - 6324. Determine u(-12).\nAnswer: -2364","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -65, -4, 613, 2206, 5195, 10000?\n\"Answer: 70*f**3 - 142*f**2 - 3*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 52 = -11*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*m**3 + 4*m**3 + 0*m**3 - 23*m - m**3 wrt m?\nAnswer: -54*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -50*l**2 + 3*l + 10. Let q(k) = -18*k. Calculate q(t(d)).\nAnswer: 900*d**2 - 54*d - 180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 2*c - 1. Let n be s(-2). Let h(w) = -3*w**2 + w + 3. Let d be h(2). Let k be 6 + d - (-54)\/52. Which is greater: n or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -456*j**3 + 68*j**2 - j - 1856146 wrt j.\nAnswer: -1368*j**2 + 136*j - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25.90713 centuries to years.\nAnswer: 2590.713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {j: 7, g: 12}?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 1\/10*c**5 + 2 - 1\/6*c**3 + 0*c + 1\/4*c**2 - 1\/8*c**4. Factor j(r).\nAnswer: r*(r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 422523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 622 - 364. Suppose -p + b = 171. What is the greatest common factor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 - -4?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(300) + sqrt(300))**2 + sqrt(300) - sqrt(300)) + 4.\nAnswer: 40*sqrt(3) + 1205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in twenty-seven halves of a micrometer?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5569370 and 724?\nAnswer: 11138740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1826 = 190*d + 1404 for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) 107 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 33*(-2)\/(-6)*12\/12\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 98, 127, 136, 119, 70, -17, -148?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.3014 and 58.\nAnswer: 61.3014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4 + -1 + -2)\/(2\/222). What is the second derivative of -699 + 15*x**2 - 705 + o*x + 1404 wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38616\/1680 - (-2024)\/(-88).\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 3290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, q: 3}. Give prob of sequence qq.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/21)\/((-6)\/28). What is the closest to -0.2 in -2\/3, -18, u?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20021 (base 11) to base 5\nAnswer: -1414210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = 6*q + n, -q = -3*n - 14 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7349, 7353, 7359, 7367, 7377, 7389, 7403?\n\"Answer: l**2 + l + 7347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24 - -1202?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and 0.285555.\nAnswer: -0.0342666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2213)\/10 + (-1)\/5)*-2. Suppose -529 = -3*d + n. Is d a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 1:29 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/5))**4*(p**1)**(1\/26)*(((p\/(p**2*p))\/p)\/p*p**(-4\/7))**(-26\/7) assuming p is positive.\nAnswer: p**(98213\/6370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3490, -6829, -10002, -13009, -15850, -18525, -21034?\n\"Answer: 83*o**2 - 3588*o + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*i = 480*i - 8142 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -1) + -2 - (-117 + 109)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 11*u**3 - 6*u - 6. Let f = -10 - -9. Let p(s) = -s**3 + s + 1. What is f*q(y) - 6*p(y)?\nAnswer: -5*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1865*4.\nAnswer: -7460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 6*q**2 + 20*q + 20. Let j be u(-7). Let s = j - 130. Calculate the greatest common divisor of s and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w - 10. Let v be c(-5). Suppose -4 = 5*x + 3*r + 8, -3*x - 2*r - 7 = v. Sort x, -19, -1 in ascending order.\nAnswer: -19, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 14 = -4*n, -5*n + 1 = -4*p - 10. Suppose -n*r - 15 = 5*k, -3*k = -8*k + 2*r + 10. Solve -4*h + 4 = -k for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5844263717 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(110)\/(sqrt(60)\/sqrt(6)) + 0 + sqrt(11)*3)*-5)**2*-6.\nAnswer: -26396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 36*f - 28*f + 3*f**3 - 12*f**2 + f**3 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3a78 - 3?\nAnswer: 3a75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 6 = 16*j + 3*i, -3 = i for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 49*t**5\/5 - 3*t**4\/4 - 10*t**3\/3 - 10*t + 400. What is the third derivative of c(m) wrt m?\nAnswer: 1176*m - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59c (base 14) to base 13\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (39 + 24 - 8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16018.7 + -16020. Let j = -0.6 + 0.3. Let q = j + 0.5. What is the biggest value in q, -3, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29583 + -29588. What is the third smallest value in 0.3, a, 1\/3, 0.22?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-33)\/198*-2)\/(1*5\/(-825))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqwqqzlzlbbqwbwz. What is prob of sequence lzw?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lslyryn. What is prob of picking 1 s and 2 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 35909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fnffffff. Give prob of picking 1 n and 2 f.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -4, 0.4, 20329, 0.1, -3\/7, 2\/11?\nAnswer: 20329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)\/y)**(-7))**17\/((y*y**3)**35)**(2\/87) assuming y is positive.\nAnswer: y**(20426\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/165, 1, 2\/289, -0.5 in increasing order.\nAnswer: -0.5, 1\/165, 2\/289, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5596571371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -9. Is 12943\/3 + 6\/f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-1*(-10)\/(-325)). Suppose 56 = 17*k + 22. Find the common denominator of -107\/18 and k\/36*x\/(-91).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4 - d**3 - 12 + 19 + 25*d**2 + 14 - 14*d. Is u(18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o**2 + 1 - 8*o + 6 + 8*o**2 + 42*o**3 - 7*o**2. Let z be s(7). Suppose 0 = -3*y - 0*y + z. Round y to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11137 is divided by 71.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 6*t**2 + t + 2. Let f be r(-6). Let w be 19\/(-45) + 2\/9. Which is the smallest value? (a) w (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.63 and 0.4.\nAnswer: 0.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1e3792 (base 15) to base 12\nAnswer: 5b4562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -142.7 and -151?\nAnswer: 21547.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6173 a factor of 11250030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*o**3 + 37*o**3 + 30*o**3 + 2*o**2)*(2*o + 4*o**2 - o**2 - 2*o**2).\nAnswer: 32*o**5 + 66*o**4 + 4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 7*b**2 - 4*b - 28. Let p be c(-7). Solve p = -3*n - w - 10, -3*n + 6*w - 4 = w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -185 - -394. Calculate the highest common factor of 19 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o - 14 = -30*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 5*a - 3976. Let j(c) = -2 - 4*c**2 - 987*c + c**3 + a*c + 6 - 2*c**3. Let y be j(-5). What is the second smallest value in 4, y, 0, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/183144 and 25\/36.\nAnswer: 549432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4511904 litres to millilitres.\nAnswer: 451.1904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 1. Let l be n(-2). Solve l*u - 2 = 5*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millisecond in microseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 163.\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o - 2634. Calculate a(5).\nAnswer: -2604","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350 is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7507826313?\nAnswer: 3, 13, 23, 8369929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/7363 and 34\/11?\nAnswer: 80993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27 - 43. Let d = -14 - p. Which is smaller: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*t - 11115, 11*l = 9*l + t + 7407. Let m = 5348 - l. What are the prime factors of m?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/5, 7, 2\/15, 3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -2145.0241 and 0.2.\nAnswer: -2144.8241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1417, 1430, 1449, 1474?\nAnswer: 1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 586 - 585.99217. What is d rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**7*(s\/((s\/(s*s*s\/s**(4\/3)))\/s))\/s)**(-13\/3))**(-3\/17) assuming s is positive.\nAnswer: s**(338\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -42, 2, -5\/11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/6 and -149\/3606?\nAnswer: 3606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*w - 0*w + 14758, -3*r = -w - 8854. Does 134 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/4, 0.3, 115 in ascending order.\nAnswer: 1\/4, 0.3, 5, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 420 and 960?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n**2 + n)*(-n**3 + 0*n**3 + 2*n**3 - 4*n**3 + n**3 + n**3 + (0*n**2 + 0*n**2 + n**2)*(-11*n - 20*n - n)).\nAnswer: -33*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 3365.056981 to the nearest ten.\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 4*l**2 + l**2)*(921*l**2 + 142*l + 930*l**2 - 1854*l**2).\nAnswer: 3*l**4 - 142*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 8167, 8168, 8169?\n\"Answer: q + 8166","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-47 - -41) + 34 - 104?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 300104\/17664 - (-51)\/(-12)*4?\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57330 is divided by 218?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7 = y - 0*p, -5*y - 4*p = -17. List the prime factors of ((64 - 2) + -3)\/y.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11103*d + 395.\nAnswer: 11103","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - -0.6. Suppose -16 = -5*d - 1. Suppose r = -5*h + 8, 6*h - 3*h - d*r - 12 = 0. Which is the closest to -2? (a) -0.1 (b) h (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5681 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14896.7 days to seconds.\nAnswer: 1287074880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -62, -126 in increasing order.\nAnswer: -126, -62, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -1 + (-7 - -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 140 = r - 110, -r = -5*a + 35 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, 2, 3, 5, 4.\nAnswer: 2, 3, 4, 5, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-71 - (-16 + -60) - (0 + -14)) + 137?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d. Let u(h) = -h**2 - 7*h. Let s(a) = -14*q(a) - 2*u(a). Let n(w) = -w**2 + 0*w**2 - w**2. What is n(s(f))?\nAnswer: -8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxnx when four letters picked without replacement from {n: 1, b: 3, x: 9, h: 6}.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-5 - (3 - 2)) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from {n: 1, l: 2, p: 10, t: 1}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8 - 6) + 2\/1. Suppose 0 = 4*x - m*n - 28, n = -2*n - 6. Sort 1, -6, x, -3 in decreasing order.\nAnswer: x, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111100011111101 + 10001?\nAnswer: 100111100100001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 934036*k**2 - 1868088*k.\nAnswer: 4*k*(k - 2)*(k + 233511)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67*s**3*u + 2*s**3 + 8*s**2*u + 2*s*u wrt s?\nAnswer: -402*u + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 divided by 81831.\nAnswer: 103\/81831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-6))\/((-2184)\/(-4095))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 - 34 = -4*x. Suppose 15*l - x - 296 = 0. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-35)\/(-14)*(-54)\/225. Put -1\/39, -7, b in increasing order.\nAnswer: -7, b, -1\/39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56510.12993 + 65.\nAnswer: 56575.12993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4.67 and -3?\nAnswer: 7.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -2*q**7\/945 + q**6\/360 + q**5\/60 + q**4\/108 + 4378*q**2. Factor b(u).\nAnswer: -u*(u - 2)*(u + 1)*(4*u + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 29*h - 56. Calculate p(3).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 1828 divide 96253465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**2 - 42*r - 11. Let t be x(-8). Solve -t = -c - 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 3731067?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7679 is divided by 3804.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t. Let y(j) = 9*j - 85. Determine y(u(l)).\nAnswer: 18*l - 85","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + -155 + 64 + 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (((-54)\/(-9))\/18)\/(-17*(-11)\/5049)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 10:43 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = s + 150 - 744, 2*c - 1164 = -2*s. Suppose -10*l + 25*l = s. Calculate the remainder when 187 is divided by l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 1203*o = 1215*o + 78, 5*z - 72 = -11*o for z.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n + 0*n + 2*n + 3*n - n - n + 0*n + 0*n + 2*n + (-5 + 3 + 4)*(n - 3*n + 3*n) + 0 + 2*n + 0 + 5*n - 4*n + 0*n + 2*n - 2*n - n.\nAnswer: 9*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442346 is divided by 87?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -29*11\/957*((-12)\/18)\/(2\/(-3))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -3*n**2 - 20*n**2 + 5*n**2. Let v(f) = 1201*f**2 + 1205*f**2 - 2405*f**2. Determine v(m(z)).\nAnswer: 324*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2756\/(-159) - 1008\/(-63).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 49.23 - 0.93. Let w = d - 3.3. Let n = w - 47. Is -2\/27 != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z + 19*z - 2*x = 18, 28*z + 60 = -4*x for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + ((1*sqrt(1331) + 4)**2 - 3*(sqrt(1331) + 0 + sqrt(11))).\nAnswer: 52*sqrt(11) + 1345","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 11*n**2 - 11*n - 7. Determine w(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) 430272 (c) 1\/3 (d) 11\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 177*x**3 - x**2*z + 2*x**2 - 2*x*z + 6446*z wrt x.\nAnswer: 531*x**2 - 2*x*z + 4*x - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10455419 plus 646?\nAnswer: 10456065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of -25*m**2\/2 + 2696. Let t(n) = -n. Give -s(a) + 6*t(a).\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -28\/25 (c) -44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4889, 4904, 4919, 4934, 4949?\nAnswer: 4964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-520 - -612) + (-46 - 3)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/s**(-12))*(s*(s*s\/(s**(3\/11)*s)*s)\/s)\/s)**(-1\/11)*(s\/(s\/s**(4\/7))*s)\/(s\/(s*s**(-1\/4)*s))*s**(-1)\/(s\/s**(-1)*s) assuming s is positive.\nAnswer: s**(-1907\/3388)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -a**3\/4 - 20087*a**2\/4 = 0.\nAnswer: -20087, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**3 - 4*b*u**3 - 58*b*u + 23*b - 45*u**3 - 3044 wrt b?\nAnswer: 3*b**2 - 4*u**3 - 58*u + 23","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from laatlaa.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 174 - 327. Let j = s + 317. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zox when three letters picked without replacement from {z: 1, i: 2, o: 9, x: 1}.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 434*z**3 + 8*z - 3. Let n(x) = -435*x**3 - 6*x + 2. Give 3*g(u) + 4*n(u).\nAnswer: -438*u**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43 - 41. Suppose m*r = 4*b - 30, b - 5*r = 2*b - 35. Let d(j) = -9*j**2 - 25*j. Let y(f) = 4*f**2 + 12*f. Let n(o) = b*y(o) + 4*d(o). Factor n(z).\nAnswer: 4*z*(z + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 4*d. Let a(n) = -3*n. Let u(o) = 5*a(o) + 4*c(o). Let p(k) = -8*k. Give -p(r) - 4*u(r).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((84\/8)\/(-7))\/(72\/96).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3942 and 1728?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -4*w**4\/3 + 64*w**3\/3 - 140*w**2\/3 - 208*w\/3 = 0.\nAnswer: -1, 0, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s + 6. Let k be f(6). Suppose -r - r = k. Solve -5*c - 5 + r = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47475?\nAnswer: 3, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2, -0.2, 8991, 97, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-47)*u*u**(-1\/41) assuming u is positive.\nAnswer: u**(-1887\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4.957*25\nAnswer: -123.925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273182 is divided by 968.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*i**5 + 122*i**4 + 272*i**3 - 88*i**2 - 448*i + 128 = 0. What is i?\nAnswer: -4, -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 35 = 29. Suppose -5*g + 2*y - 12 = -p*g, 4*g - 4*y + 20 = 0. Let m be ((-8)\/6)\/((-4)\/12). Which is the nearest to -1\/2? (a) -2\/7 (b) g (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0.8. Let a = v + 2.5. Let q = 9.74 - 14.74. What is the second biggest value in -1, q, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c8 (base 16) in base 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + j = 2262 - 2257, -4*l = -5*j - 33 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + 29 - (-1 + -27).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 11*p**2 - 6*p - 44. Let k be c(10). Put 0.2, 1, k, -5\/13 in increasing order.\nAnswer: k, -5\/13, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323834697 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*d**3 - 46*d**3 + 4*d**3 + (-d**2 + 3*d**2 + 0*d**2)*(5*d + 14*d + 34*d) - d**3 + d**3 + 2*d**3 as j + i*d + z*d**3 + n*d**2 and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0.3. Suppose 2*a - 1 + 171 = -4*z, -5*a + 115 = -2*z. Let j be 0 + -1 + 1 + (z - -46). Sort j, -1\/4, k in decreasing order.\nAnswer: j, -1\/4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2 - 14. Suppose -x - x = -s. Suppose 1069*h - 1074*h - 3*w + 289 = 0, 0 = -h - 2*w + 62. Calculate the highest common divisor of x and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -66*i - 8. Let v(l) = -44*l - 5. What is -5*d(y) + 8*v(y)?\nAnswer: -22*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 117330 + -117325. Suppose -144 = 4*f + x, -3*f + 125 = -6*f - 5*x. Which is the closest to 1? (a) 0.1 (b) f (c) i (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 344802, 344797, 344796, 344805, 344830?\nAnswer: 344877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15609, 15604, 15597, 15588, 15577, 15564?\nAnswer: 15549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 128\/8*(-1)\/(-9). Let z = x - 59\/18. Let n = 17.2 + -17. What is the second smallest value in 0.3, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01 + 280139757.\nAnswer: 280139757.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/(-15) - -4)*(-3)\/12?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -844 + 734.4. Let w = s - -109.60003122. Round w to six dps.\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**3 - 114*p**2 + 155*p + 255. Let o(v) = 3*v**3 - 40*v**2 + 78*v + 128. Let n(s) = 2*f(s) - 5*o(s). Determine n(-25).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*w - 3 - 5, 4*w + 5*z = 1. Let v(c) = 2*c**2 - 3*c - 2. Give v(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-19753.\nAnswer: -1975.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bmmmbpppmbmmmb?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*w - 126*w = 0. Let b be 2\/2 + (3 - 1). Sort -2, w, b, 5 in descending order.\nAnswer: 5, b, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (-427)\/21)\/(25\/174)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/r**(-4)*(r**(-8)*r)\/r*r)\/(r*((r*r**(2\/9))\/r)\/r)**4*(((r\/(r*r\/r**(-12)))\/r)\/(r\/r**(2\/11)))**40 assuming r is positive.\nAnswer: r**(-58867\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 270452 to the nearest integer?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**2\/2 - 506937*c\/2 + 2027652 = 0.\nAnswer: 8, 168971","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*l + 2*d, l - 97*d + 101*d = 16 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.5. Let i = -5 - -5. What is the nearest to i in -0.1, 1\/2, h?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1\/4 of a day?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2. Let u(s) = -1281394*s. What is u(r(k))?\nAnswer: 2562788*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7355*l**2 - 1620*l**2 - 9*l**4 + 16*l**4 - 4*l**4 - 2677*l**3 - 152*l**2 wrt l?\nAnswer: 72*l - 16062","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 75 by 9404.\nAnswer: 75\/9404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 2\/9, 0.4, 42\/31, -2, -3\/2, -0.023?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/631, -5, 0, -3\/7.\nAnswer: -5, -3\/7, -2\/631, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 8*j - 20. Suppose -4*b + 25 = -4*l - 47, 0 = j*l. Calculate the highest common divisor of b and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b (base 16) in base 4?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -3*i + 3*s + 11, 3*i + 2*s = -1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 51 = -3*d, 2*d - 3*d = -4*y - 12 for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 74628 by -3.\nAnswer: -24876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - sqrt(171)*-2) + sqrt(171) + -5 + sqrt(171) + 2)**2.\nAnswer: -90*sqrt(19) + 4284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gogpf. What is prob of sequence fp?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/2*k**3 - 37 - 39\/2*k + 18*k**2 = 0. What is k?\nAnswer: -37, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 84409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24739663 or 24739662?\nAnswer: 24739663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 117*0.1\nAnswer: 11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = k - 12, 0 = -511*k + 516*k - 2*j - 6. Solve k = -12*d - 6*d - 18 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 37*i**2 - 19*i.\nAnswer: i*(37*i - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**5 + 0*x**5 - 3*x**5)*(85 - 25 + 81 + 105).\nAnswer: -492*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + f + 490000. What is f rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 * -45372\nAnswer: 45372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -46182, -46242, -46300, -46356, -46410, -46462?\n\"Answer: c**2 - 63*c - 46120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 147178 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1106 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25013*i**2*t**4 - 2*i**2*t**2 + 5*i**2*t - 10*i*t**2 - 25*i + t**5 wrt t?\nAnswer: 600312*i**2*t + 60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -13*f + 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18723217 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1682*z - 1738*z + 1.\nAnswer: -56*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 5576?\nAnswer: -2230.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 1271036939 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 take away -3180?\nAnswer: 3178.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + (-1179 - (8 - 5)). Does 11 divide f\/(-4) + (-1)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7700619 by 2566873.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 385145267?\nAnswer: 13, 41, 722599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*z + 22 = 22 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1642\/7 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.086 * -5\nAnswer: -0.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -10\/11091?\nAnswer: -10\/11091","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145 + 147. What is the third derivative of -26*h**6 + 18*h**u - 40*h**2 - 20*h**2 wrt h?\nAnswer: -3120*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*a + 94*a - 1188 = 0 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/1914 and 41\/3712?\nAnswer: 122496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x + 6. Let z be i(-6). Suppose -2*l + z = l. Calculate the least common multiple of 4 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 5309292079.\nAnswer: 5309292074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 139 and 59305879?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - a - 231, -4*a - 223 = -5*d - a. What is the remainder when d is divided by (66\/(-77))\/((165\/(-154))\/15)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1 + -3*3*3*sqrt(392)*3)**2.\nAnswer: -2268*sqrt(2) + 2571915","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Let z = -18 + 20. Find the third derivative of 2*u**2 - u**2 - 7*u**z - i*u**6 wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 237*d*n**3*z - 2*d*n**2*z + 2*d*n*z - d*n + 3*d - 2*n**3 - 27*n**2 wrt z?\nAnswer: 237*d*n**3 - 2*d*n**2 + 2*d*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*o + 2*v - v, -o + 15 = v. Suppose 2*r = -r + o, -3*q - 13 = 5*r. Let t(y) = -y**2 - 11*y + 13. What is t(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/14 + 1743\/980. Let o = c + -3\/5. Suppose d - 2 + 0 = 0. Do d and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/2*8\/2 + 0. Let i be 4\/(-10) - (h + 44\/(-10)). Suppose -3*d + 54 = i*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 2.7. Let s = 0.3 - 0.2. What is the nearest to s in g, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 76 - 46 = 0. Suppose 3*l = 2*c - 3, -l - 18 = -c + 6*c. What is the third biggest value in l, u, -7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d**2 + 11*d + 23. Let u be (6\/7)\/(4\/(-2*14)). What are the prime factors of i(u)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ninnnnnnnnnnn. What is prob of sequence inn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, t: 2, h: 3, y: 5}. Give prob of picking 3 h and 1 r.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 117145347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 66868?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 2)*(-21 - 20*g + 21)*(g - g + g)*(5 - 2 - 2)*(2 - 1 - 2).\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 5 + 9 = -4*f, -3*q + 4 = f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 - 156 + 468 - 156 - h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/2)*w\/(w\/(w\/(w\/(w\/(w*w**(-8))))))*(w**(-2\/3))**(-9\/8)*w**(-3\/7)\/(w**(-6)*w)*(w**0*w*w)**(10\/7) assuming w is positive.\nAnswer: w**(467\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*q + 2*q**3 + 7*q**2 - 61577 + 616*q**5 + 61577 wrt q?\nAnswer: 36960*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z - 247240 = 7*z - 5*i, 0 = -5*z - i + 247232. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.2 or 65703?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) 0.5 (c) -2\/83 (d) 2\/9 (e) 4 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2233 (base 4) to base 9.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 321*q**2 - 493*q wrt q?\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 5:28 PM?\nAnswer: 6:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1062 - -1061.94. Let y be ((-1)\/(-3))\/(2\/(-18)). Let x = -0.43 + 0.63. Put 4, x, y, h in ascending order.\nAnswer: y, h, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*i = -790*f + 785*f - 201, 4*i = -f + 3 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80956439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + r = 564. Suppose -r*l = -93*l. Let k be (-16)\/(-72)*-6*(l + 1). Does k = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 4 - (-2 + 7 + -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:21 AM and 10:58 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 2. Suppose n - 2*n = 4. Let m be (-6)\/n*4\/(-6). Determine o(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 11:37 AM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 4*i**3 + 3*i**2 + 5*i + 23. Let p be b(-6). Let u = p + 829. Let t(m) = 9*m - 1. Calculate the remainder when u is divided by t(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -675 + 674.5. What is the nearest to 0 in -2, -6, 10, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 32795*j**2 - 12 - 32499*j**2 - 16*j + 11 as o + h*j**2 + m*j and give h.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 greater than or equal to -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (g - g - 5*g**2)*(-22*g**2 - 20*g**2 + 55*g**2) as l*g + y*g**4 + z + i*g**2 + c*g**3 and give y.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddddddddpdpdpdppddd.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01357458727 to 4 dps.\nAnswer: -0.0136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 n, 1 c, and 1 y when four letters picked without replacement from aycayaaaybaaynbk.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15113, -21361, -27609, -33857, -40105?\n\"Answer: -6248*s - 8865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.07, 11\/113, -0.2, 0.3499?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42 + -39. Solve -2*f - 32 = 3*f + 4*c, -c + 9 = -y*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -6) + (-24)\/(-18).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 1\/7, -11, 2\/3, 8, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 0.1162.\nAnswer: 0.2838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -52. Is 24 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.9 - 46. Let l = 0.04 - -0.16. Let v be ((-2)\/10)\/(54\/(-45)). Put l, g, v in ascending order.\nAnswer: g, v, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -254 + 3304\/13. Let h = 1.4 + -1.9. Let u = 3\/2 - 1. What is the closest to u in 2, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.33 + 0.73. Which is the third biggest value? (a) -1\/7 (b) 0.5 (c) x (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 300\/8*36\/(-1530)*17?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 369 + -363. Let n be 21\/m - 5\/(-10). Solve 3*i + 2*c = -8, 2 = -n*i - 4*c - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -582, 1, -0.3 in descending order.\nAnswer: 1, -0.1, -0.3, -582","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r - 4. Let i = 2 - 2. Let b be a(i). Let s be 1 + (b - -2) + 2801. What is s rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 191644 - 191641. Let h = 3 + 26. What is the third biggest value in q, -0.4, 4\/7, h?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/20, 1\/2, -1\/30 in ascending order.\nAnswer: -1\/20, -1\/30, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7104137 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: Calculate the greatest common factor of 52894 and 8982.\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -8*p + 126. Let f(s) = 2*s**2 + 2*s - 9. Let h be f(8). Suppose 2*z + 3*z = h. Calculate the remainder when z is divided by q(14).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1275, -5177, -11811, -21285, -33707, -49185, -67827?\nAnswer: -89741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 0, -2 in increasing order.\nAnswer: -2, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -13375, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518030 to the power of 1\/2, to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -3 (b) -53 (c) 0 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 68926287?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4705179?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 219462593\/22 - 9973172. Let k = -2401 + b. Find the common denominator of k and (-1 - (-19)\/(-8)) + 1.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgl. What is prob of sequence lg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 2. Let n(q) = 2*q + 1. Let v be n(-1). Let h(z) = -94 - z + 94. Let a(t) = v*p(t) - 5*h(t). Differentiate a(w) wrt w.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -75*c*q*v - 269*c*q - 11*c*v**2 + 6*q**2*v**3 + 10*q**2*v - 837*q*v**3 wrt v.\nAnswer: -22*c + 36*q**2*v - 5022*q*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p. Let n(d) be the second derivative of -11*d + 0*d**3 + 0 - 11\/12*d**4 + 0*d**2. Give v(n(c)).\nAnswer: 22*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 - 4*i**3 + 6*i**2.\nAnswer: -2*i**2*(i - 1)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -29*p**4\/12 + 113*p**3\/6 + 2*p**2 + 30. What is the units digit of c(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72900 by 540.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 5*h + 4. Let x be s(3). Let l be 315130\/4*(2 - x). Suppose -104870 - l = 3*k. What is k rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9733880 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 51*o*z**2 + 6*o*z - 667*o + 2*z**2 + z - 2 wrt z.\nAnswer: 102*o*z + 6*o + 4*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 17*u**3 + 8*u**2 - 473*u + 726. Let r(j) = -j**4 - 9*j**2. Let k(l) = -p(l) + r(l). Factor k(v).\nAnswer: -(v - 3)*(v - 2)*(v + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + -5*(sqrt(162) + -1 + sqrt(162)) + -3 + sqrt(162) + 1 + 4 + -3)*-1)**2*5.\nAnswer: 65610","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**3 - 4737*x**2 + 495474*x - 9732840 = 0.\nAnswer: 26, 85, 1468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -0.06, -0.5 in decreasing order.\nAnswer: 0.06, -0.06, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 124070619 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 840.096 weeks to minutes.\nAnswer: 8468167.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 29903617 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2462?\nAnswer: 2, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-320)\/(-128))\/(35\/(-126)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 33*x**2 + 18*x + 45. Let m(i) = 2*i**2 + i. Let g(t) = -d(t) + 18*m(t). Let v(s) = -s. Calculate v(g(r)).\nAnswer: -3*r**2 + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 1. Let p(x) = -3*x**2 - 9*x + 12. Let r(t) = p(t) + 2*z(t). Let i = 813 - 821. What is the tens digit of r(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**3*t**2 - 6128129*g**3 + 29485697*g*t**3 - 2*g - 2 with respect to t.\nAnswer: 2*g**3*t + 88457091*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -756469.15 + -24?\nAnswer: -756493.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10698.\nAnswer: 2, 3, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*r + 10, 5*y = 2*r + 211 - 178. Solve -y*v - 25 = -5*q - 0*q, -11 = -2*v - 5*q for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 130023 (base 4) to base 14\nAnswer: 92b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 56300933 and 4?\nAnswer: 56300929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 10*g**3 - 1. Let z be (1\/5)\/(3\/30). Is u(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(-6*(sqrt(63)\/sqrt(7) + sqrt(9))).\nAnswer: -sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(2\/17)))\/g)**(-37)*(g**3\/g)\/(g\/(g\/(g*(g*g*g**(-1\/23)*g)\/g*g))) assuming g is positive.\nAnswer: g**(12000\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 695*y**2 + 8625*y - 9320 = 0.\nAnswer: -1864\/139, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1847 + 1849. Which is the second biggest value? (a) u (b) 5 (c) 3.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 41 + -1*2\/(3 - 1). Suppose 3*n = -d - 32. Let q = 26 + n. Solve -q*j = 4*h - 18, 2*j - 21 = -2*h - 3*j for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u = -15*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52 - -28) + -10 - 16.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -219777 (base 10) to base 15.\nAnswer: -451bc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 20 = 10*w - 14*w, 0 = w - 4*k + 26 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 0.5 (b) -7615 (c) 4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.133*4.\nAnswer: -0.532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q - 47. Give k(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*t - t = 96 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -510117592 - -0.03235\nAnswer: -510117591.96765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 91*r + 14*r**2 - 14 - 91*r wrt r?\nAnswer: 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 + 13*v**2 - 2. Let c be l(-13). Let b be (-6)\/12 + (-289)\/c. What is the highest common divisor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5 - (-2169)\/432). What is the third biggest value in f, -2, -2\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000057263991 rounded to 7 dps?\nAnswer: -0.0000573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 AM and 5:26 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f**2 - 13810704*f\/7 - 5918868\/7 = 0. What is f?\nAnswer: -493239, -3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 65 + -53. What is the remainder when 45 is divided by w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, a: 11, b: 2, y: 3, v: 2}. Give prob of sequence bg.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 54376723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000354415 to six decimal places.\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, -10774.4, 3, -1, 0.3.\nAnswer: -10774.4, -1, 2\/19, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11608?\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21110100022 (base 3) in base 10?\nAnswer: 146780","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 3*v - 4*v. Let r(n) be the second derivative of n**7\/1260 + 5*n**4\/6 + 22*n. Let m(b) be the third derivative of r(b). What is m(w(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31663 (base 11) to base 9.\nAnswer: -70145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.251876608169 - 6.\nAnswer: -6.251876608169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -45 + 1081\/24. Is 1 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6928)\/3*(-58)\/232. Which is smaller: 578 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -8*q**4\/3 + 14*q**3\/3 + 2*q**2 - 8*q + 54. Suppose w(k) = 0. Calculate k.\nAnswer: -1\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g + 2. Let z be o(3). Let x(l) = 7*l**2 + 2*l - 4. Let v be x(2). Suppose 0 = t - z*t + v. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6*(-1 - 8\/(-12)). Suppose -9 = 3*x + g + g, 0 = m*x - 2*g - 4. Put 5, x, 4 in ascending order.\nAnswer: x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7652, 7779, 7906, 8033, 8160?\nAnswer: 8287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 - 12 - (-477 + 595).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-919*10\/15)\/((-2)\/177) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s + 60582 + 28430 = -67144. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + (2*sqrt(102) + sqrt(102))*-6)\/(sqrt(1050)\/sqrt(7)).\nAnswer: -17*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3679082, -7358157, -11037232, -14716307, -18395382, -22074457?\n\"Answer: -3679075*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -112*p**5 + 114*p**5 + 2*p**2 + 4 + p**3 - 1 + (-3*p**2 + 2*p**2 + 3*p**2)*(-1 + 1 + p**3).\nAnswer: 4*p**5 + p**3 + 2*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, a: 4, n: 3, z: 7, l: 4}. Give prob of sequence ea.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -663*j**2*t**3 + 112*j**2*t - 60*t**3 + 1194*t**2 wrt t.\nAnswer: -3978*j**2 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/n**(7\/3))\/n)\/(((n\/(n*n**(-2\/13)*n))\/n)\/n))\/(n\/n**0)**(-6)*(n**(2\/7)\/(n**2*n))**(-45) assuming n is positive.\nAnswer: n**(35123\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o = -16, o - 2 + 7 = -5*s - 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 23 + 3. Let q = 28 - p. Let y(d) = d**3 - 9*d**2 + 10*d. Let f be y(8). What is the greatest common divisor of q and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27 or -313?\nAnswer: -313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/30*(2016\/(-42))\/(-16)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -20010132?\nAnswer: 20010122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(78))\/sqrt(2) - sqrt(312)\/(4*sqrt(8)))\/(sqrt(192) + sqrt(48) + sqrt(48) + ((sqrt(33) + sqrt(2112))\/sqrt(11) - sqrt(3))).\nAnswer: 5*sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = 2*t. Put t, 11, -5 in increasing order.\nAnswer: -5, t, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-14*i - 90 - 50 + 163)*(-3 + 5 + 5) as m + x*i and give m.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 70513 - -6a3?\nAnswer: 71106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49806 is divided by 631.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -11509 times 0.192?\nAnswer: -2209.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 8 - 8 - 5*p**2 + 2*p**2. Let g(v) = -1897*v - 1. What is y(g(c))?\nAnswer: -7197218*c**2 - 7588*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-532)\/(-22) + 4\/(-22). Calculate the highest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -13*w + 42. Let k be m(-7). Suppose -k = 5*x - 13. Let q be (-2 - x\/15) + 2\/5. Is -2\/51 > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 436 = 1423. Let w = r + 148. Solve -1 + 11 = -w*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101\/3690 + -2\/123. Let q(d) be the third derivative of 6*d**2 + 1\/27*d**3 + 0*d + j*d**5 + 0 - 1\/36*d**4 - 1\/540*d**6. Determine f so that q(f) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23\/52 - -4\/13. Factor 3*k + v*k**2 + 0.\nAnswer: 3*k*(k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32 - 51 + l + 83.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74733?\nAnswer: 3, 29, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 6:32 AM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 1)*(1\/(10\/10) - 4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -359, -395, -413, -407?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -16 + -268106?\nAnswer: -268122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txtttxxxxxttttxxtx. What is prob of sequence tt?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6647 rounded to one decimal place?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -359140*q + 359140*q - 6*q**3.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2545 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 m when two letters picked without replacement from {z: 2, y: 6, q: 2, l: 2, w: 4, m: 4}?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 x when three letters picked without replacement from {l: 4, x: 9, q: 1, y: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2835)*2)\/(sqrt(448) - sqrt(448)*-2 - sqrt(448) - (sqrt(7) + sqrt(7) + sqrt(28))*5).\nAnswer: 9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 540 - 538. Let k(r) be the second derivative of 0 - 1\/120*r**6 + 2*r - 1\/168*r**7 + 1\/24*r**4 - 1\/24*r**3 + 1\/40*r**5 - 1\/8*r**g. Factor k(z).\nAnswer: -(z - 1)**2*(z + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(0 + -3) - 5. Let m = a + -5. Let n be m*1*(-1575)\/2. What is n rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -27, 875, 7.\nAnswer: -27, 1, 7, 875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*i**4 - 484*i**3 + 976*i**2 - 240*i.\nAnswer: 4*i*(i - 15)*(i - 2)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 168783.75 rounded to the nearest one thousand?\nAnswer: 169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**2*n**2*x**2 + l**2*n**2 - 6*l**2*x**3 - 7*l*n**2*x**2 - 50*n**2*x**3 + x wrt x.\nAnswer: -36*l**2 - 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - f - 79 + 2 = 0, 5*x = 3*f + 377. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.099159 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*r**2 - 87 + 172 + 11*r**2 - 85.\nAnswer: -14*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g + 5059. Let f(q) = -8*q. Give i(f(h)).\nAnswer: 16*h + 5059","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/(-6) - (-1 - 4) - 1. Let k(s) = s**2 - s. Let g be k(n). Solve -3*l = -5*x - 8*l, -x + 3*l + g = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2 and -148 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u**2 - 4*u + 3. Let a be n(3). Let w be (-1)\/((-12)\/8)*6. What is the greatest common divisor of w and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 3, p: 1, k: 1, x: 4}. What is prob of picking 1 k and 1 a?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -14.1. Suppose 3*l + 20 = 5*l. Let x be -1 + 0 + l\/14. Which is the closest to x? (a) h (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.2 - 3. Let t = 228.4 + -228. Let j(g) = 6*g + 1. Let r be j(-1). Put r, t, q, -4\/7 in descending order.\nAnswer: t, q, -4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17963?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -818*h - 85. Let a be m(-8). Round a to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 503931 and 60009?\nAnswer: 723","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000027857 rounded to 7 decimal places?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:16 PM and 2:02 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b + 40. Let j be n(-37). Solve -j*c + 0 = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/((-2)\/2) + 10 + -7. What is the tens digit of (b - -1)*(-1001)\/(-39)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2088 and 67544.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -380.64 (b) -5 (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 308\/(-3)*(-21 - -18). Suppose -305*v = -j*v + 522. Is 13 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 282\/18 - 1\/(-3). Let c = -12 + g. Let s(x) = -c - 2 + 2*x - 2 - 1. What is s(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 6*q**2 + 3. What is o(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 9\/10 of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4069122 divided by -65631.\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 69070080 divided by -3840\nAnswer: -17987","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 3, -85, 6, 5 in increasing order.\nAnswer: -85, -4, 1, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 4 - 16 - -16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -591*h**2 + 11. Let w(t) = -197*t**2 + 4. Give 4*u(n) - 11*w(n).\nAnswer: -197*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 11, o: 1, l: 4, w: 1}. What is prob of picking 2 n?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + 3*sqrt(175) + -4 + (-1*sqrt(175)*-1*2)**2).\nAnswer: -1396 - 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/30*(-15)\/(-3). Let s = -1\/3 - g. Let m = -306\/7 - -44. What is the nearest to m in s, 2\/3, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in decades?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tote. What is prob of sequence tteo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.679067ms in nanoseconds?\nAnswer: 2679067","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 363 is divided by 92?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 a when three letters picked without replacement from {q: 2, a: 2, m: 1, h: 4}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 6:47 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -7193000 to the nearest one hundred thousand.\nAnswer: -7200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -s. Let j be (s - -1)\/(2\/(-9)). List the prime factors of (j\/45)\/(3\/(-165)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.5 - 22.8. Let q = -7.9 - z. What is q rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208451 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2468 + -2529. Put -0.1, w, -4, -0.5 in decreasing order.\nAnswer: -0.1, -0.5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 5)*(-2 + b**2 + 2 + (1595*b - 12*b**2 - 1595*b)*(0 - 4 + 8)).\nAnswer: -47*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - -3 - 1 - ((5 - 4) + 23).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z = -46*z + 244 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (0 - -1) + -20 + (38 - 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(3\/11)\/d))\/d*d**(5\/7)\/d assuming d is positive.\nAnswer: d**(34\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7\/5 - 1)*90. Suppose -h*w + 37*w = 3. Let f(s) = s**2 + s**2 - 2*s + 0 + s**2 - 2. Let c(l) = 6*l**2 - 4*l - 4. What is w*c(g) - 5*f(g)?\nAnswer: 3*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 594 and 11022?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -16*h + 179. Let n(r) = -7*r + 86. Calculate -6*l(p) + 14*n(p).\nAnswer: -2*p + 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.598421919 to 3 dps.\nAnswer: 0.598","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5135 = 184*b - 2191 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1924064573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 13*d + 14. Let n be 3 + (-8)\/(64\/(-72)). Calculate s(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 8*p**2 - 8*p + 7. Calculate w(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 150\/(-9))*(77\/44 + -7). Calculate the greatest common divisor of m and 4361.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w**3 + w**2 + 3*w - 4. Let h(p) = 2*p - 5*p**2 + 6*p**2 + 4*p**3 - 1 - 4 + 2. Give 3*h(j) - 2*z(j).\nAnswer: 2*j**3 + j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9)*q)\/q**(-2\/33)*q**(6\/29)*q*q*q\/(q**(-15)*q))**(-1\/12) assuming q is positive.\nAnswer: q**(-8869\/11484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 26*j**2 - 16*j - 44. Let n(c) = -5*c**2 + 3*c + 9. Let u(v) = 3*h(v) + 16*n(v). Find the first derivative of u(o) wrt o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*v**4 - 14*v**4 + 37*v**4 - 2*v**4 + 0*v**4 + 4*v**4 + (-3*v**2 + 3*v**2 - v**3)*(-2*v + 2*v - 2*v) as k*v**3 + m*v + i*v**2 + j*v**4 + b and give j.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -32*x - 5. Let s(n) = -208*n - 32. Let h(y) = 32*l(y) - 5*s(y). Let a be h(-13). Let v = -127 - a. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 + p. Let i(h) = -2*h**2 + 4*h + 12. Let c(f) = i(f) - 3*o(f). Let w be c(0). What is the greatest common factor of 84 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*v**2 + 0*v**2 + 4*v**2)*(4 - 6 + 3) - v + 22 - 21 + 8*v**2 + 0*v.\nAnswer: 6*v**2 - v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 273880890?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36732856 to the power of 1\/2, to the nearest integer?\nAnswer: 6061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = 4*p + 3*o, 12 = -p + 4*o. Suppose -5*b + 2*t + 99 = p, -3*t - 1 - 5 = 0. Let i = b - 13. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 273 + 2?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 2*k = -10. Let d be -6 - (3 - (-5)\/(-1)). Let b(z) = -z**2 - 5*z + 1. Let v be b(d). Solve -s - 15 = v*m, 2*m + k*m - 5*s = 17 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + -19 - -4*(-52)\/42.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*f**3*k**2 - 7*f**3 + f**2 + f*k + 30*k**5 - 16 wrt k.\nAnswer: 56*f**3 + 600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2065?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -59*f - 6. Let l(j) = 1120*j + 112. Let y(r) = 3*l(r) + 56*u(r). Let x(v) = -2*v. Calculate x(y(h)).\nAnswer: -112*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23483 (base 14) to base 6\nAnswer: 1501551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1872)*-3)**2*5*-4 + 1)*-5*3.\nAnswer: 5054385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 74 and 1093?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1392\/261*(1 - 2686\/(-8)) + 3 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-45) + (-530)\/(-1425). What is the smallest value in -4\/5, s, 56\/9?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 83*m = -88*m - 10, -101*n - 35 = -96*n + 4*m for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 125 = 3*b. Suppose 0 = -3*u - 5*n + 17, 2*u = u - n + 5. Suppose 5*x = u*y - 41, 2*x - 5 = -4*y + 1. Solve -c = y*c + b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = 3*g - 155. Suppose z - 13 = -9*o + 6*o, 0 = -5*z + 5*o + 145. What is the greatest common factor of g and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10227 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4\/(-2))\/((-10)\/1385) + 3. Calculate the highest common factor of v and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**2 + 2*q + 7. Let h(u) = 1. Determine d(y) - 5*h(y).\nAnswer: 3*y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 351*a**4 - 1564*a**3*d + 43254*d + 3 wrt a?\nAnswer: 1404*a**3 - 4692*a**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 31*r + 122, s + 2139 - 2125 = -76*r + 73*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2004 + -1997. Let n(o) = 113*o + 11. Calculate the lowest common multiple of n(2) and l.\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/2 + 12*b**2 + 1275*b\/2.\nAnswer: -3*b*(b - 25)*(b + 17)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 288300010\/75 - 16\/120. Round j to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5*v - 31 = 0, -2*v + 132 = 10*w + 112 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 + 16*b**2 + 13*b + 105. Determine r(17).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/242 and -17\/8591?\nAnswer: 17182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 9. Let x(r) = 5*r - 19. Let i(o) = 7*h(o) + 3*x(o). Let v be i(-5). Which is the biggest value? (a) 4 (b) v (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 2.285?\nAnswer: -1.985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.879329712 to two decimal places.\nAnswer: -5.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*g**5 + 46*g**4 - 54*g**3 + 18*g**2 = 0 for g.\nAnswer: 0, 3\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(1 + -5)*-6. Suppose 0*h + 3*h - 6 = -o*a, 5*h + a - 2 = 0. Factor 0*d + 0 + h*d**2 + 2\/5*d**3.\nAnswer: 2*d**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 354 = 98. Suppose -4*q + 6 = -6. Suppose g - q*g = -m. Does 14 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 625 is divided by 129?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*sqrt(7)*-1.\nAnswer: -2*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 20548?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - 11 = 7*d + 4, -16 = -4*v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -157\/123?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 171, -23, -9?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a factor of 86461425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -4\/9 (b) -11 (c) 1\/330\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1265 by 637357.\nAnswer: -1265\/637357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yfyjfyyyjyryruuyj. What is prob of sequence fujr?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 4*w**4 + 6*w**4 + (-2*w**2 - w**2 + w**2)*(5*w - 3*w - 5*w)*(-2*w + w + 0*w).\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-4))\/(1 + 66\/(-48)). Suppose y - w*n + 4*n - 4 = 0, -y + 2*n = 0. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b - 2. Calculate p(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9993 is divided by 23?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2470\/(-7761) + ((-10)\/(-15))\/2. Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14414588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 3:44 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1762617, 1762619, 1762621?\n\"Answer: 2*x + 1762615","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tivtittyyttyityttttt. What is prob of sequence iiyy?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.021 (b) 1 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*s - 5 = -2*w, -2084 = -3*w - 12*s - 2105 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 0*o + 6 - 2*o + o. Suppose -3*c - c + 8 = 0. Let i be 4\/(-6) - c\/(-3). Give v(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*y + 12. Suppose 0 = 5*q + y + 24. What are the prime factors of (6\/4)\/(q\/(-32))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5*z + 40, -3*u + 0*z - 4*z - 98 = 0. Let i = u + 34. Sort 8, 3, 5, i.\nAnswer: 3, i, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-1*sqrt(78) - sqrt(78))\/sqrt(6) + 4) + 3.\nAnswer: -4*sqrt(13) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 791448098 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2638474 and 18718.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -470 + 472. Suppose -76 = -2*z - u*l, -5 = -z + 3*l + 29. Calculate the remainder when z is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4867 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10632 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 7) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -4*r**2 + r. Let n(w) = -30*w**2 + 4. Let u(q) = -3*h(q) - n(q). Let l = 3 - 4. Is u(l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2. Let s(h) = -144*h**2 - 60. What is 60*o(n) - 2*s(n)?\nAnswer: 288*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*v + 14*v + 203 = 4*d, 99*v + 3*d = -324 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38673 - 27574 = 6*r - 47677. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g = 21*g. Suppose 3*d - 7*d + 28 = g. Let r = 39 + d. Is r equal to 45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 100 and 780.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-6)*2*-3)\/(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-762)\/(-4) - (-105)\/70 - 0. Suppose 26*u + y = 14*u. Sort -1\/4, -3, u, 4 in descending order.\nAnswer: 4, -1\/4, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4976\/9 - -10315\/18. What is the common denominator of 47\/40 and i?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/11? (a) -2\/7 (b) -4\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/32)\/((-175)\/50)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000367715828 rounded to 6 decimal places?\nAnswer: 0.000368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 346.\nAnswer: -2\/173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -47813*l + 669427. Calculate k(14).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h + 0*h + 3*h)*(-13 + 12 - 9)*(5*h**2 - 5*h**2 - 6*h**2) as x*h**2 + g + b*h + z*h**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-8))\/((-96)\/(-256)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6650417339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 2:02 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(2 + 1 - 2). Suppose -5*i - o + 18 = 0. Suppose -i*w - 8 = -41. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5060 and 121?\nAnswer: 55660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 9*b. Let i(m) = -45*m**2. Give i(u(q)).\nAnswer: -3645*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -6*q + 12. Solve q*r - 20 = -2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 0*o**2 - 19\/6*o**4 + 0*o**3 + 0 + 42*o - 7\/5*o**5. What is the third derivative of z(f) wrt f?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 3389675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 48*n - 1. Let d be -2*(-1)\/4*2. Suppose d - 6 = -5*t. Is p(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13610 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: Let a(c) = c**3 - 3*c**2 + 2*c - 58. Determine a(0).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 9*d = 2*t + 6350, -5*d - t = -7955. Suppose -d = -4*b + 2*o, -b + 3*b - 807 = -3*o. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8406, 8024, 7642?\nAnswer: 7260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24123 = -44*n + 61*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55460?\nAnswer: 2, 5, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from kkkkkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 + -0.8. Let j = 6.5 + n. Let q = 0.2 + 0.3. Which is the nearest to 1\/4? (a) j (b) q (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*-0.57384\nAnswer: 5.16456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -72. Let r = 47 - i. Is (-2948)\/r*(-105)\/(-42) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21288597?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 5537548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**2. Let p(u) = -2*u - 2*u + 5*u + 0*u. Determine p(g(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -7*c + 8*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nenseneesnnnstnste. Give prob of picking 2 t.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -250336.\nAnswer: -7510.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1214 and 0.7.\nAnswer: 0.5786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -843, -870, -899, -930?\nAnswer: -963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + -2 + 5 + (196 - 195) - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 69765161 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w - 2*w + 0*w)*(-2*w**2 + 0*w**2 - 2*w**2 + (4*w**2 - 3*w**2 + 0*w**2)*(-2 + 6 - 2)) in the form f*w + n*w**3 + a + u*w**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5706 is divided by 114?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of y**7\/70 - 3*y**3\/2 + 8*y**2. What is the first derivative of q(i) wrt i?\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -4*r**2. Let v be (2\/(-9) + (-3060)\/(-2835))*56\/12. Let h(m) be the second derivative of -1\/3*m**v + 28*m + 0*m**2 + 0 + 0*m**3. Determine i(h(w)).\nAnswer: -64*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40 - -40. Solve 3*f + m*f + 9 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45, 342, 1163, 2772, 5433, 9410, 14967, 22368?\nAnswer: 31877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3 - p**2 + 5*p + 1 + 0*p. Suppose 3*l - 4 = 2*l. What is g(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 0, 0 = -3*a - 4*j + 3*j + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/138*9\/195. Let n be ((-104)\/8450)\/((-92)\/34490*1). Let x = t + n. Which is smaller: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52 by 68282.\nAnswer: -26\/34141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 764461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 0. Let g be n + 0 - (1 - 3). Let y be (g\/(-5))\/(1 - 2). Is y at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -50 + -11. Let k = g + 65. Solve -20 = -0*h + k*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 + 9*g + 8. Calculate y(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + z = 25, 2*m - 112*z + 117*z + 10 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 225 + 231 = -w, 4*w - 5*n - 3 = 0. What is the nearest to w in 14, -4\/7, 3\/2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12066 = -135*l - 4236. Calculate the highest common divisor of l and 3074.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 21 = 4*q. Let n be (0\/10)\/(-1 + -1). Solve n = -3*x + q*s - 12, 4*x + 8 + 8 = -5*s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*w + w + 3*w)*(2 + 1 - 5)*(17 + 6 + 0) + (154 - 154 + 225*w)*(-2 + 3 + 0) to the form t*w + l and give t.\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 575043\/463 - 1242. Is y at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480112.4 kilometers in micrometers?\nAnswer: 480112400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23\/7, 1, -4, 3 in descending order.\nAnswer: 3, 1, -23\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-104)\/12 - (-6)\/9. Let i be m\/(-5)*(-45)\/(-18). Differentiate 6*w**2 + 1 + i - w**2 + 1 with respect to w.\nAnswer: 10*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 (base 7) in base 2?\nAnswer: -110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-27) - (-6076)\/126. Let p be m\/22 - 72\/396. Let u = -0.31 - -0.01. Which is the biggest value? (a) u (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 10:11 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.3122402 rounded to 0 decimal places?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ykyyyyykyyyyykyyykyy. What is prob of picking 2 k and 2 y?\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1536603 by 5979.\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by -6827544.\nAnswer: 23\/6827544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 398516 and 36984.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 156, -s - 584*d = -0*s - 588*d + 206 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 583220561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/10*2*12. Let k be (1\/2)\/((-1)\/r). Solve 9 + k = 5*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(1331) + sqrt(1331) + -1 + 2)**2 - (6*(2*sqrt(11) + 4))**2).\nAnswer: -18990 + 3192*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5441.23 + -5441. What is the fourth biggest value in l, 2\/7, -2\/13, 4\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 365 by -73.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 109*c - 1013. What is v(10)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22135 divided by 4427?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkjjkkjkjjjkjkjk. Give prob of picking 2 k.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31.56 - 0.44. Let a = 110713.949876 + -110745.95. Let h = a - r. Round h to 5 decimal places.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 o when four letters picked without replacement from ooooooobboooooooooob?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1306643832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11, 25, 39, 47, 43, 21, -25?\n\"Answer: -y**3 + 6*y**2 + 3*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -730446 - -730446.690122. Let t = 94.69 - 94. Let n = t - d. What is n rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 10) in base 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 28 = -4*r + 40, -2*c = 4*r - 4 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**5\/3 - 2*v**4 + 82*v**3\/3 - 70*v**2 + 208*v\/3 - 24 = 0?\nAnswer: -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1539\/(-243) - 4\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21034231 - -12230?\nAnswer: 21102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 10*u + 24. Let r be n(-15). Let f be 3 - (-2)\/((-6)\/r). Suppose -27*i = -23*i + f. What is the second smallest value in i, 1\/6, -27?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3 and -34\/275453.\nAnswer: 826359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 3*s + 0*s)*(-11*s - 2*s + 12*s) to the form k + w*s + j*s**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -134, -139, -138, -131?\n\"Answer: 3*k**2 - 14*k - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + -254?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.105 - -4.895. Put 0.3, u, -0.3 in increasing order.\nAnswer: -0.3, 0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 13*m - 22. Let u be (-588)\/378 - (-334)\/18. What is s(u)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11866 and 3?\nAnswer: -0.35598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1155 and 27\/29491.\nAnswer: 442365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22082636 is divided by 72?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 6 = 4*j. Suppose 3*x - j = 5*f + 9, -3*x + 17 = 2*f. Sort 2, x, -17 in decreasing order.\nAnswer: x, 2, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 2\/21 of a week?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -65 (base 13) in base 14?\nAnswer: -5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - c - 9. Let v = 17 + -12. Suppose -37 = -2*b - 31. Suppose u - r + b = v*u, 2*r = 6. Give q(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17308 - 17211.008. Let w = q + -97. What is w rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p - 28. Let m(g) = -40*g - 1797. Let j be m(-45). Let y(w) = -2*w - 29. What is j*y(t) - 4*z(t)?\nAnswer: -2*t + 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 17*p - 14. Let k be n(18). Let w(t) = -2*t**2 + 8*t + 2. Let j be w(k). Suppose -r - 1 = 1. Are r and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 138\/(-84) - (-2)\/14. Which is the third smallest value? (a) 2\/7 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 964422 is divided by 137770.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 106764632*k*u**2 - 12215899*u**2 wrt k.\nAnswer: 106764632*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -302001*f**2 + f + 1. Let v be a(-1). Let r(u) = -2765*u**2 + 6*u + 7. Let y be r(-8). Let k = y - v. Round k to the nearest ten thousand.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 + 4 - b**2 - 2)*(2 - 4 - 94).\nAnswer: 96*b**2 - 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4) - ((-1490)\/(-76) + (-22)\/209). Let d(b) = -b**2 - 18*b + 22. Calculate d(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 158 and -4.\nAnswer: -632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1459*j**2. Let y(k) = 372*k. Calculate y(t(p)).\nAnswer: -542748*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 17*m**2 - 13*m - 30. Determine g(16).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 60 - 674 = 0. Let i = -185 + k. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -48 or 811562?\nAnswer: 811562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 3777?\nAnswer: 3776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 2*k - 68, -84 = -5*i - k - 15. Suppose 3*b + c - i = -c, 5*c - 8 = -3*b. Let d = 55 - b. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -8, y + 2704 = 6*y + 3*u. Let z = -523 + y. Do 141\/8 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420*d**2 - 10*d - 452*d**2 - d + 6*d.\nAnswer: -32*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241 <= 13660\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317 + -187. Suppose 371*r - 368*r = 3*n - 201, -n - 5*r + 133 = 0. What is the highest common factor of p and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 279054 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 11:12 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-2*sqrt(720) - sqrt(720)) + sqrt(720) - sqrt(5))*-2)**2.\nAnswer: 50000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 45325620 to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0341126725 rounded to four decimal places?\nAnswer: 0.0341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3*(-2)\/(-14))\/(60\/(-105)). Which is the third smallest value? (a) 0.1 (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 208*o**2 - 4*o - 101*o**2 - 103*o**2 - 2. Let a be i(2). Solve a = -2*l + 12 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 115 and -15620382123?\nAnswer: 15620382238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4 = 3*l, -5*d + 4*l + 14 = 7*l. Calculate the common denominator of -25\/2 and d\/6 - (573\/(-126) + -1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1547 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-1)\/((-6)\/9)). Suppose -a*p + 42 = p. Does 10 divide 284\/p - 8\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 45436355.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 255816 a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**5\/2 - 21*j**4\/2 + 15*j**3 + 24*j**2 = 0 for j.\nAnswer: -8, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(200) - (sqrt(200) + -2)*-5))**2.\nAnswer: -30000*sqrt(2) + 182500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.00662 - 0.50662. Put -0.023, p, -4\/5 in ascending order.\nAnswer: -4\/5, p, -0.023","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -25. Suppose 2*s + 10 + 6 = 0. Let m = s + j. What is the remainder when 19 is divided by m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -6*w**3 - 13*w - 16. Let g(f) = 2*f**3 + 4*f + 5. Give -7*g(z) - 2*v(z).\nAnswer: -2*z**3 - 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 82\/4)*10\/15\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 652205.\nAnswer: 5, 17, 7673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*o + 3*o - 3*o + 3*o + 2*o - 3*o + (2*o - 4*o + 3*o)*(-2 - 1 + 5))*(-3 - 1 + 3) to the form k*o + a and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77186928 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/34 - (-22)\/187.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/(-1))\/2 - -1. Let m(v) = v - 3. Suppose -24 = -4*h + 8. Let a be m(h). Sort a, -4, i in decreasing order.\nAnswer: a, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*1)\/(7 - (-5 + 10)). Let z(y) = 3*y - y + y**2 - 7*y**2. Let f(h) be the first derivative of h**3\/3 - 2. Determine q*z(r) - 5*f(r).\nAnswer: r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 60 = -2*m - 13*m. Solve 3*f - 3*w = 0, -m*f - 5*w - 8 = -10*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, z: 2, h: 3, l: 2, x: 4}. What is prob of picking 1 z, 2 l, and 1 t?\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-21) - 16\/12. Does j = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 134. Suppose 8*h + 2*h = g. Let z = -2 + 7. What is the least common multiple of z and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: (-6)\/8 + (-9)\/4 + 12 + -10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (28\/(-16))\/((-1)\/(-4)). Let k(c) = -2*c**2 - c + 5. Let v(a) = 16*a**2 + 6*a - 39. Let i(h) = 6*k(h) + v(h). What is the units digit of i(n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**2*a**(10\/7)\/a)\/(a**(-2)*a)**(-7\/6) assuming a is positive.\nAnswer: a**(95\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1. Let b be 1*(-1)\/h + 1. Suppose -2*j = 296*l - 295*l - 30, 4*l + 18*j = 270. Solve s + 4 + l = b for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - b - 47067 = -5*t, -b = 4*t - 37650. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164 is divided by 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -7*a**4\/12 - 2*a. Let s = 23 + -21. Let p(f) = -16*f**s + 50*f**2 - 13*f**2 - 20*f**2. Determine b(p(w)).\nAnswer: -7*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 9*w**5\/10 + 5*w**4\/12 + 18*w. What is the third derivative of s(f) wrt f?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 347, 550, 753?\nAnswer: 956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1389 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*q. Let x be q\/(2*(-1)\/(-2)). Suppose 4*r + k + k - 16 = x, 10 = 5*k. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-47 - -156 - 55) + -39.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (2 - (-1 - 0)) - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 3*b**2 + 10*b - 4. Let k = -12 + 8. Let v be m(k). Suppose -2*o - 12 = 5*s, -o = -4*s + 4*o - v. Put s, 5, -1, -5 in decreasing order.\nAnswer: 5, -1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 211460?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 94220012 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: What is (21*42\/(-147))\/9*6\/10?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 26880 divided by 96\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**2 - 3*h - 6. Is 7 a factor of d(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11545614001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*r + 49*r + 2*r**2 - 4*r**2 + 5*r**3 - 31*r - 4*r**3 - 11 to o*r + t*r**3 + m + u*r**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1463 (base 7) to base 5\nAnswer: 4314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 3, -3\/7, 0.198, 1217 in decreasing order.\nAnswer: 1217, 3, 0.198, 0, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y. Let h(l) be the second derivative of -67*l**3\/6 - 463*l. What is h(f(t))?\nAnswer: 134*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 194, 195, 196?\n\"Answer: n + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 456*r**4 - 369018*r**3 - r**2 + 839*r - 12830?\nAnswer: 10944*r - 2214108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 + -1.4. Which is the second biggest value? (a) 0.1 (b) 4\/5 (c) u (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 319*d - 26*d**2 - 319*d to f*d**2 + b*d + h and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 349.9?\nAnswer: 34.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 3407892.\nAnswer: 10223676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 91 = 61. Let r(k) = 3*k**2 + 19*k - 31. List the prime factors of r(v).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 158*b + 154*b + 10 = 0, q + 19*b - 17 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63.3 and 1.\nAnswer: -63.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 5:44 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q + 2*q**4 + q)*(12*q + 6*q - 10*q) + 707*q**5 - 487*q**5 - 351*q**5.\nAnswer: -115*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = s - 14, s + s + u = 0. Let m = 12 + s. Suppose m = 5*z - 1. Solve 4*d = -z*l - 10, -l - 13 = 3*d + 4*l for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 32 (b) 0 (c) -1\/4 (d) 1\/398 (e) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 4*j**2 + 8*j - 12. Let o be y(5). Suppose o*w = 26 - 11. Suppose -787 = w*c - 6*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3*n - 94 = 0, -2*z - 2*n = -z + 29. Let k = z + 39. Let y = -11 + 37. What is the remainder when y is divided by k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 10) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38849 and 16859?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-10)\/(-12))\/((-20)\/(-2360)))\/((-1085)\/(-434)).\nAnswer: 118\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 140115743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 420 and 1092.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:28 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 2*b - 30. Let m = 19 + b. Solve -4*h - 3*k - 2*k + 21 = 0, -5*k + m = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3 + 2*w - 3*w - w + 3*w. Let l(u) = 6*u**3 + u**2 - 4*u - 3. Let x be l(-2). Let m = x + 34. Give h(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/18 and (3\/4)\/((-2106)\/(-954))?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*-1 - 5*sqrt(77)*4)\/(3*sqrt(891)*1 - (sqrt(891) + 2*sqrt(891))*-2).\nAnswer: -7*sqrt(7)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -2*d + 4*h, -930*h + 925*h - 25 = 5*d. Let j = 0.2 + 0.1. What is the biggest value in d, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 5.3, 20\/43?\nAnswer: 20\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7123 - -5?\nAnswer: -7116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -766, -762, -756, -748, -738?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + ((-485)\/63 - 0). Let a = r - -481\/84. Calculate the common denominator of -31\/4 and a.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-7757568)\/(-426496) + -3 + 49\/17?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 313024822 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.7 + 2.3. Let h be (6\/18)\/(2\/(-18)). Which is greater: b or h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5776 divide 2106801776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**2 + 3*f**2 - f**2)*(2 + 3*f + 3 - 4).\nAnswer: 6*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 95 (b) -2\/5 (c) 0.4 (d) 0.2 (e) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -1\/8, 0.17, 28498, 2\/3, 2?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3560730 is divided by 1780357.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, s: 1, m: 2, o: 3, c: 6, x: 2}. Give prob of sequence xox.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(6\/13)\/(t\/t**14)*t\/t**(2\/29)*t\/(t*t\/(t**5*t)) assuming t is positive.\nAnswer: t**(7311\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0992 rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**4 - 2*w**4 + 3*w**4 + (1 + 1 - 4 + 3*w)*(37*w**2 - 37*w**2 - 13*w**3) as n*w + q*w**4 + z + m*w**3 + u*w**2 and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 k, and 1 o when three letters picked without replacement from pkwpwkuukoopokpyokk.\nAnswer: 32\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37.6 + 37.2. Suppose -17*v = -6*v + 99. Which is the nearest to v? (a) f (b) 2\/11 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*s + 122 = -2*s, 4*q + s = 248. Let j = q - 41. What are the prime factors of j?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 13, v: 3}. Give prob of picking 2 v.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 8*d**2 + 7*d - 7. Determine g(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0463 - 1.3537. Which is the closest to 1\/5? (a) -0.5 (b) i (c) 0 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - a2?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -5314.8525 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 262 - 284. Which is the nearest to 1\/4? (a) q (b) 1.3 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 2. Let d = -2 - -1.8. Let k = d + -3.8. What is the smallest value in k, t, 0.2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1579*j*v**3 + 8*j*v**2 - j - 27272*v**3 - 1 with respect to j.\nAnswer: -1579*v**3 + 8*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/20)\/((-3)\/15). Solve t = -4*f + 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 969945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-9))\/((-1340)\/402)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 4*r + 1. Let c be y(-5). Find the common denominator of 1 + -7 + (-2301)\/78 and c\/6 - (-35)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-459)\/(-85) + (-2)\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -8. What is the greatest common factor of 64 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qxxpqxxq. Give prob of sequence xxq.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 18, 0.5, 0.0774, 1\/4 in descending order.\nAnswer: 18, 1, 0.5, 1\/4, 0.0774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 8 = -7*m - 3*t, -3*m + t = -10. What is the third derivative of -2*c**2 + 7*c**m + c**2 - 7*c**4 wrt c?\nAnswer: -168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 1. Let x be z(2). Let r be (-2)\/6 - 7\/x. Let b(n) = -2 + r + 7*n + 7. Let m(g) = -4*g - 4. Determine -6*b(l) - 11*m(l).\nAnswer: 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/77 - 3460\/(-110). Suppose 3*r = -s + 10, 3*s + 8 = -s. Calculate the highest common divisor of v and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/4, 0.57714, 0.1, -0.4, 2 in decreasing order.\nAnswer: 2, 3\/4, 0.57714, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*j + 33*j + 24596. What is the greatest common factor of 172 and j?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (847\/(-21))\/(539\/(-147))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -203 + 220. Calculate the remainder when 1\/(-3) - (-97)\/3 is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -408 + 269 - 4*n - 221 - 16 - 546 to x*n + f and give f.\nAnswer: -922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 53889.04 millennia?\nAnswer: 5388904","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 42878260 to the nearest one hundred thousand.\nAnswer: 42900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/3 - (-19)\/(456\/(-7424)). Let t = 314 + y. Solve -8*z = -6*z - t for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 5, 41, 0 in decreasing order.\nAnswer: 68, 41, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 + 9*c + 1. Let q be i(7). Let x be ((-17)\/(-289)*0)\/(2 - -1). Solve 3*a + 5*p + 25 = x, 0*p - q = a + 3*p for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4520?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p - 4*x - 9 = 0, 0 = -2*x + 8. Suppose -2*s + 324 = -c, 5*c = s - 1088 + 917. What is the nearest to -0.1 in s, p, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m**2 + 4*m - 2*m**4 - 9*m**2 - 2*m**3 + 1 - 2*m**2 + 2 to v*m**4 + c + b*m + f*m**2 + n*m**3 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 176839?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 130312215 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -5)*6\/(-10). Suppose -g*c + 9 = 9. Solve j = -c - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 12\/25 of a litre?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 10:50 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of -3*(418\/(-22) - 14090)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17387861?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 5\/6*x**3 + 68 - 145\/4*x**2 + 0*x. Find p, given that v(p) = 0.\nAnswer: 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -14. Let w = -2.1 + 6. Let b = 0.9 - w. What is the second biggest value in -3\/7, b, l?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h - 14*h - 20267 + 460547 = 0. Is h a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: 42977 times 0.054\nAnswer: 2320.758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, b: 7}. What is prob of picking 2 t?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 12 - 4 = 0. Solve -k = d*k - 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 - 5*x**2 - 9 - 20*x - 19*x + 2*x**2 + 3*x**2 as v*x + o*x**2 + r and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-27)\/(-2916)*9261)\/(21\/(-24))?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1318*c**2*y**2 + 267*c**2*y + 3*c*y**2 - 9*y**2 - 2*y + 521 wrt y.\nAnswer: -2636*c**2 + 6*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 4*u + 1966491 = 5*o, 0 = -4*u - 4. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -3*m + 18*m**2 + 3*m. Let p(d) be the first derivative of -d**5\/60 - 29*d**3\/3 + 13. Let s(y) be the third derivative of p(y). What is s(t(i))?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(100)\/(sqrt(2) - sqrt(50)))\/(sqrt(50)\/(sqrt(35)\/sqrt(7))) + -3)*6.\nAnswer: -3*sqrt(5)\/2 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 + 2?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 135275941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-3)\/2)\/((-6)\/4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 618505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1605*f - 89*f - 12371 = 255*f - 37708 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 728528805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3938 = 14*s - 16*s + k, 0 = -2*s - 3*k + 3946. Calculate the greatest common factor of s and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 + 4 + 2 + 0. Suppose -2*n = -5*d - 6, -s*n - 2*d = -0 + 14. What is the lowest common multiple of 6 and (3 + -5 + 0)*n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 572 + 572.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 q, and 1 w when four letters picked without replacement from qqwwjjqqtttq.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3619600 rounded to the nearest ten thousand?\nAnswer: -3620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 4*s + 73 - 62 = 0, 0 = 5*x - 5*s + 15 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048243541 rounded to five dps?\nAnswer: -0.04824","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3300\/88)\/((-1635)\/654)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56443.69kg in grams?\nAnswer: 56443690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1130187523 to the power of 1\/3, to the nearest integer?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*w = 45*w + 3*k - 5, 0 = -3*w + 4*k - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92922?\nAnswer: 2, 3, 17, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xo when two letters picked without replacement from pxoej?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2203215386 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*d - 19*s + 96 = 133*d, 4*d + 4*s - 32 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1333535 and -228312.5.\nAnswer: -1561847.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d = 48*d - 80234. What are the prime factors of d?\nAnswer: 7, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/(-6))\/(2\/87). Let y(q) = 6*q**3 + 117*q**2 - 57*q + 69. Let m be y(-20). Solve -7 = 2*f - 3*i - a, f - i = m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 212348 to the power of 1\/3, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8392282 bigger than 8392254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 55187808?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 - 4*k**2 + 5*k + 2. Calculate j(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3) + -3 + (2 - 6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 24057, 5, 8, -18?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 5:22 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 6*h = -42. Suppose 26 = h*c + 5. Solve 0 = c*j - 2*p - 1, 12 = -2*j - 0*j - 5*p for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7236098?\nAnswer: 2, 3618049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -142 - -146 - (1 - 4) - (-6 - 2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -2.9. What is the nearest to -1 in n, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -609*c**2 - 4. Let o(w) = -3*w. What is z(o(m))?\nAnswer: -5481*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 7, -2, 1800, 2.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82049597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 100840579 to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117727?\nAnswer: 117727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20094?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-6)*128\/1120*(-7)\/(-11)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 13*n + 3624. Let o = n - 76. Let r = 623 - o. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60, -103, -164, -237, -316, -395, -468, -529?\nAnswer: -572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004770302887 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19*a**6 - 88*a**4 - 149*a**3 + 4*a**2 + 508182 wrt a?\nAnswer: -2280*a**3 - 2112*a - 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2919, 19658, 64043, 149898, 291047, 501314, 794523, 1184498?\n\"Answer: 2304*q**3 - q**2 + 614*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j. Let c = 10 + -5. Suppose c*y = 4*k - 21, 0 = k - 3*k + 8. What is h(y)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**3 - 5*j**3 - 10*j**3 + 15*j**3.\nAnswer: -6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3*(-1)\/2)\/(81\/162). Suppose -16 = -4*f, 2*h + a*h = -5*f + 20. Solve -4*z - 3*t = 10, h*z = 2*z + 3*t + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93752, -375041, -843862, -1500215, -2344100, -3375517, -4594466?\nAnswer: -6000947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 0.83, -128, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 - 1 + 3*y**2 + 38*y - 37*y - 38*y**4 - 2*y**2 + y**3 to the form o*y**2 + h*y**4 + c*y**3 + r*y + l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 113, -11\/17, -2\/15, 1\/13, 3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6777, -54573, -184303, -436935, -853437, -1474777, -2341923?\n\"Answer: -6828*j**3 + j**2 - 3*j + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0.1. Let m = -11.866 + -0.234. Let h = m + 12. Is h >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 327bd (base 14) in base 13?\nAnswer: 4386a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 169 + -39. Let q(m) = -182*m. Let l(j) = -j. Let g(t) = p*l(t) - q(t). Let f(a) = 942*a - a**2 - 942*a. Calculate f(g(d)).\nAnswer: -2704*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m - 1 = 2*s, -5*s = m + 1. Let p = 528 - 5804\/11. Are m and p nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s - 5*s)*(0 + 0 - 1)*(-2*s**2 + 2*s**2 - s**3 + (15 + 9 - 22)*(s**3 + 0*s**3 + s**3) + (-s**3 + 0*s + 0*s)*(0 + 0 + 1)).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-64)\/24)*8\/102.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (526 + -871)\/(0 + 2\/(-54)). Calculate the greatest common factor of r and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 + 8*m**2 - 6*m + 8. What is the tens digit of p(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11255992 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 1286 = 3336. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6\/11)\/m**(-1\/15))\/(m\/(m*m**17*m*m))**(-2\/55) assuming m is positive.\nAnswer: m**(-193\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - (-1 + -2))*450234\/(-36) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 969 - 434 = 189*l - 977 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/2*2\/4. Let o(p) = p + 8. Let v be o(-4). What is the nearest to q in 5, v, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1759 - 2*d**3 + 87*d + 586 + d**3 + 587 + 586 - 82*d.\nAnswer: -d**3 + 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 34*s**2. Let b(j) = 613*j + 28. What is b(o(k))?\nAnswer: 20842*k**2 + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 - 9*j + 22. What is w(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/9*-888 + 8\/2. Suppose 0 = -4*i - 5*f + 1974 - o, 4*f - 8 = 0. What is the highest common factor of 38 and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upu when three letters picked without replacement from yfyyyuhpyuyyyyupuyy.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**4 + 14*t**3 + 16*t**2 - 32*t.\nAnswer: 2*t*(t - 1)*(t + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(2*2\/(-8)). Let r be -8 - (l + -5 - 3). Is 14 a factor of 176\/66*(-30)\/r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8506 and 11212.\nAnswer: 47684636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 585*v. Let m(x) = 2697*x. Determine o(m(u)).\nAnswer: 1577745*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*i**3 + 2194*i**2 + 387872*i wrt i.\nAnswer: -276*i + 4388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w + 4*h - 1, -5*w + 3*h - 5 = h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -621386, -621393, -621404, -621419?\nAnswer: -621438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jbxxvjjjxbjvffbvfx. Give prob of sequence xff.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/5 (b) -5 (c) 51\/7 (d) -0.2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3, 2*q - 5 = -3*z + 3. Let u be 1\/9*2*z. Find a such that -u + 2\/9*a - 2\/9*a**3 + 4\/9*a**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1453*h + 1449*h - 8*d + 160, -5*h + d + 2 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 89147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*-3*43\/(-6). Suppose o = 5*o - 176. Let m = o + t. Which is the second smallest value? (a) 2 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1320 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -564 - -570. Suppose -l - 3*p - 3 = 0, 4*l = 4*p - v*p + 18. What is the remainder when 34 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(110)\/sqrt(10)) - (sqrt(5) - (1*sqrt(5))**2*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {j: 2, k: 1, x: 1, h: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 963581.1ug in milligrams?\nAnswer: 963.5811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 553978154*i. Let p(a) = 2*a. Give p(n(g)).\nAnswer: 1107956308*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-88720)\/(-35488))\/((5\/(-119))\/(2\/2))*-2?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -29.\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-15)*1\/21.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 q when four letters picked without replacement from {r: 3, q: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 88 = -1. Suppose 92 = -4*n + 3*t, -2*t - 26 = 4*n + 86. Let g = m + n. Solve -2*q + 7 = -2*l - g*l, -4*q - 5*l = 1 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of 35*w**2 + 93*w + 124. What is the units digit of j(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.062429?\nAnswer: 0.187287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5 + 174*q**4 + 2151*q**3 - 10788*q**2 + 11532*q.\nAnswer: 3*q*(q - 2)**2*(q + 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 3:19 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5444 + 23*a + 10889 - 5445.\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -41*g**5 - 18*g**3 - 26*g**4 + 39*g**5 + 210*g**2 - 364*g + 444*g + 820*g - 56*g**3 = 0.\nAnswer: -6, -5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 5*b**2 + 6*b. Let o be x(6). Suppose 46 = -o*j + j. Suppose -j + 199 = 3*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/3 + 207*q**4 - 85436*q**3\/3 + 1047462*q**2 - 8581482*q - 108217629 = 0. Calculate q.\nAnswer: -421, -13\/2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*f = 33*f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-5)*-2 + 0. Sort -1\/3, 1\/5, a in ascending order.\nAnswer: -1\/3, 1\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 459047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -w + 194, -2*j = 3*w + 2*j - 518. Suppose 0 = 48*r - 50*r + w. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * -3.13576\nAnswer: -0.313576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31395744 and 244189120.\nAnswer: 2197702080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-10)*13920\/(-18792).\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*h = 110*h - 59*h - 203073000. What is h rounded to the nearest 100000?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i. Let d(c) = 10*c. Let v(w) = 3*w. Let l(j) = 4*d(j) - 11*v(j). Calculate l(h(y)).\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39412, 78822, 118232, 157642, 197052, 236462?\nAnswer: 275872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10022122110110 + 20?\nAnswer: 10022122110200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2268 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 8*s + 105. Is s a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9 or 457?\nAnswer: 457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -76 + 190. Let f be x\/21 - 40\/(-70). What is the greatest common divisor of 28 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12218649 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**2 - v - 18. Let j be y(0). Let g be (-4)\/j + 6219\/81. Calculate the greatest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50236 and 71877140.\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120830 and 1?\nAnswer: 120830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8174034 a multiple of 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 3*f**2 + f. Let k be w(3). Let c(v) = 4*v + v**2 + v**k + 4*v - 9*v**2 - 3. What is the units digit of c(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 + 7*n + 7. Let f be z(7). Let p(r) = -3 + 4 - r + 1. Let v(d) = 0*d + d - 2*d + 3*d - 4. Give f*p(h) + 3*v(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {t: 3, d: 12}?\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/4904 and -2\/2407.\nAnswer: 11803928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine halves of a kilometer?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/(-3 - -4))\/(-2). Let u be (-1 - -2) + (9 - 2). Let i(v) = 4*v + 5. Let z(m) = -11*m - 14. Let g(w) = u*i(w) + 3*z(w). Determine g(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/3 - 242400146*i\/9 + 80800048\/9.\nAnswer: 2*(i - 40400024)*(3*i - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27 - 15*f**2 - 56 - 21*f**2 + 24 to the form w*f + a + v*f**2 and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 202, 418, 650, 904, 1186?\n\"Answer: i**3 + 2*i**2 + 203*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, h: 3}. Give prob of sequence hh.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -1.57, -5, 45, 4\/5, 2\/3?\nAnswer: -1.57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022455 to 4 dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**20*i\/i**9)**(-2\/29) assuming i is positive.\nAnswer: i**(-24\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -217\/800 + 9\/32. Which is the second smallest value? (a) 5\/3 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(33)\/(sqrt(99)*1 - sqrt(11)).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**4 + 0*z**4 + 3*z**4 + 1 - z**3 to the form f + n*z**4 + y*z**2 + t*z**3 + x*z and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h**3 - h**3 - 3*h**3 + (0*h**3 + 3*h**3 - 2*h**3)*(-32 + 210 + 86)*(-17 + 33 - 4) in the form d*h + n*h**3 + a*h**2 + v and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 242 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9}. What is prob of sequence vvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in fifteen quarters of a tonne?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y - 9. Let n be t(5). What is the highest common divisor of 9 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.5 + 8. Let q = d + -4.1. Which is the third biggest value? (a) 2\/9 (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1638 by 546.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1 - -4 - (-47 - 83) is divided by 51.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(84)\/(sqrt(588)*-1 - sqrt(588) - sqrt(588) - sqrt(588)) + (sqrt(28)\/sqrt(4)*2)**2 + 5 + 0.\nAnswer: -sqrt(7)\/28 + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, z: 1, a: 1, w: 4}. Give prob of sequence nz.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 5:30 PM?\nAnswer: 2:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (8 - 8) + -21 + 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (0*43\/(-731))\/(2*1*-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxxxttxtxtttsttt. What is prob of sequence xvt?\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/2 - (847 + 16). Let r be 42\/(-70) - (-3 + b\/15). Calculate the greatest common factor of 132 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2041 divided by 163\nAnswer: -2041\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4377569.\nAnswer: 7, 625367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2035681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -23*b + 2. Let i(p) be the first derivative of -p**2\/2 + 2690. Determine i(j(m)).\nAnswer: 23*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 4.15646 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2067255829.\nAnswer: 73, 251, 257, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/3647 and -22\/82839.\nAnswer: 579873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1649547*c*u**3 + 2991*c*u + 52*c - u - 1 wrt u?\nAnswer: -9897282*c*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 3.3. Let n = 19\/72 + -3\/8. Let j = -0.02 - -0.12. What is the closest to 2 in j, b, n?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s - 4. Let p be (2\/(-1))\/((-4)\/6). Suppose -16 = -o - p*o. Let c be f(o). Is c < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -1\/15*t**6 + 0 + 0*t**3 - 23\/24*t**4 + 0*t + 0*t**5 - 5*t**2. Find the second derivative of j(f) wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 52 + -20. Suppose 0 = 5*j + 7 - c. What is the second derivative of 3 - 2 - 1 - 3*y**j - 2*y wrt y?\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -10*m**3 - 216*m**2 - 5856*m + 4. Let v(n) = -8*n**3 - 216*n**2 - 5850*n + 3. Let y(i) = 3*a(i) - 4*v(i). Factor y(k).\nAnswer: 2*k*(k + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 4*f - 19. Let p be z(-3). What is o in 3*o - 3*o**2 + 5*o + 8*o - o**2 + 0*o**p = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -21*q - 152. Let j be f(-8). Suppose 12 = p + j. Let l(a) = 0 + 0*a - a - 1. What is l(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 95\/76 + (1 + -3)\/8. Which is smaller: q or -12\/49?\nAnswer: -12\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-20) - 164\/10. Let h = s - -99. List the prime factors of h.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422787199 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*g**3*v**3*w - 2*g**3*v**2*w + 2*g*v**2*w - 40*g*w + 8*v**3*w wrt v.\nAnswer: 72*g**3*w + 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a hour in seconds?\nAnswer: 1350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b35ad8f - 2?\nAnswer: -b35ad91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 4:15 PM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 92*v**2 + v - 1. Let u be 3\/(-9) + (-24)\/(-18). Let t be m(u). Suppose 56 = 2*c + 5*f - 11, 3*c - f - t = 0. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 671 divide 324225858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2125000 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: How many months are there in seventeen quarters of a millennium?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28858 + 65a?\nAnswer: -281ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -73.969. Let i = p - 0.03. Round i to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 282425\/8 + -35303. Suppose 0*l + 4*l + 32 = 0. Which is the fourth smallest value? (a) l (b) 0 (c) -2\/7 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of r**3\/3 - 1. Let k be ((-1)\/2 - 57\/38)*-2. Let u(w) = -k*w**2 + 8*w**2 - 12*w**2. Calculate q(u(n)).\nAnswer: 64*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 36*c. Let t(l) = l. What is t(r(o))?\nAnswer: o**2 + 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 360 and 9.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42620, 2\/9, -0.5, -79\/4 in descending order.\nAnswer: 42620, 2\/9, -0.5, -79\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 57 + -194 + 182 + (11 - -1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 366828 and 25011?\nAnswer: 1100484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 10:49 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 303 + -5?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -7, -946 in decreasing order.\nAnswer: -7, -15, -946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.8 + -11.948. Let h = d + 0.186. Is h < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8020297 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -28692852 divided by 11\nAnswer: -28692852\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and -4.181524972.\nAnswer: 0.818475028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 5*g + 1, 3*r - 19 = -0*g + g. Is 86 + (0 - (-3 + r)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 810, 4374, 7902, 11394, 14850, 18270?\nAnswer: 21654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 + 3*x**2 + 95*x - 245. Give y(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1a (base 11) to base 15\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 74 + -156. Let g = y + 244\/3. Which is the closest to g? (a) 5 (b) -5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-32)\/10 - 2\/(-10). Let l(a) = -5*a - 21. Let g(f) = 6*f + 8. Let d be g(-2). Let b be l(d). Sort b, -5, n, 3 in decreasing order.\nAnswer: 3, b, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence neh when three letters picked without replacement from {n: 7, h: 1, e: 1}.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21601171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 13. Let n be (-2 + z)*154\/4. Suppose 66 = -6*u + 12*u. What is the highest common divisor of n and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 - 1019?\nAnswer: -1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -2*q**2 - 8*q + 4. Determine t(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*l**2 + 10\/3*l**4 + 0 + 14\/3*l**3 + 0*l.\nAnswer: 2*l**2*(l + 1)*(5*l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 282.4958357 to the nearest integer.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**3\/3 - 3*s**2 - 4*s + 7246. Let u(i) = i. Let h be u(-6). Give x(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**8\/1680 - h**7\/1050 + h**2 - 2*h. Let v(q) be the first derivative of u(q). Find d, given that v(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51\/28 + 18\/7. Let s(p) = p**3 - 84*p**2 + 1754*p + 43. Let l be s(39). What is the nearest to l in 4, -3, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 642, 654, 666?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 p, and 1 x when four letters picked without replacement from bexxekeekepekbpee?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -11*j**2 - 29*j + 17. Let r(m) = 3*m**2 + 10*m - 6. Let w(g) = -2*l(g) - 7*r(g). Let u be w(12). Solve 2*s - 5*s + 16 = -4*t, 4*t - s + u = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.839 - 6.661. Which is the nearest to -1? (a) -5 (b) -4\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**6\/4 + 9*h**4\/8 + h**3 - 2. Let m(x) = 0. Calculate x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + (sqrt(57)\/(sqrt(9)\/sqrt(3)) - sqrt(19))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.187 + 0.0166.\nAnswer: -1.1704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000056891696 to six dps.\nAnswer: -0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56800473 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3247414901 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*r + 6*r**2 + 8*r**2 - 16*r**2)*(-1 + 3 - 19).\nAnswer: 34*r**2 - 153*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 + 61*n**2 + 110*n - 442. Give a(-59).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 5*f + 3. Let p be y(4). Suppose -5*l - 5*i + 80 = 0, -12 = -l + 2*i + p. Calculate the remainder when 31 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13785 + 10183 = 16*s. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440 (base 5) in base 3?\nAnswer: 100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -4*q**2 - 2. Let k(j) = -j**3 - 15*j**2 - 2*j - 32. Let i be k(-15). Let g(a) = -7*a**2 - 5. Calculate i*g(h) + 5*r(h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 15. Suppose 5*p = -u*i + 10, -p + 4*i = p + 20. Solve -b + 3 + 1 = p for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-364)\/(-104)*(956\/28 + (11 - 112\/8)).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t - 43 = 3*b + 236, 5*b - 42 = -3*t + 4 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one eighths of a millennium?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58.28 - 0.72. Let a = -62.493 - -0.793. Let f = a - w. Round f to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.456 and -5.\nAnswer: 2.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p - 54*p = 33*p + 770 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k - 1122*k**2 - 3*k + 170*k**2.\nAnswer: -952*k**2 - 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -313655, -313782, -313911, -314042?\n\"Answer: -h**2 - 124*h - 313530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s**2\/5 + 9037359*s\/5 - 81336474\/5 = 0 for s.\nAnswer: -3012462, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 128920 and 10888240?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/3245 + -6436\/87615. Let x = 0.9 - 1.4. Which is the nearest to w? (a) x (b) -1\/4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 22 = 5*w - b, 5*w = 4*b + 24. Let x(o) = -w*o + 0*o + 2*o. Calculate the least common multiple of 7 and x(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58168391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 175*p**2 - 6251*p - 47. Let i be q(-50). Let -9\/5*m**3 + 2\/5*m + i*m**5 + 0 + 17\/5*m**4 - 9\/5*m**2 = 0. Calculate m.\nAnswer: -1, 0, 1\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + u**2 + u. Let b(w) be the third derivative of -w**6\/40 - w**5\/60 - w**4\/8 - 328*w**2. Give -2*b(c) - 4*k(c).\nAnswer: 2*c**3 - 2*c**2 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pffbpfcfrrrfcfrfrb. Give prob of sequence bp.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1233011 + 2121011?\nAnswer: 10020022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025949 rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (14 + -2 + -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*-29*1\/(-3). Suppose 5*w = j - a, -j - 4 = 3*j. Calculate the remainder when 19 is divided by w\/(-27) - 86\/(-18).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b*b\/b**(-4))\/b*b*b*b**(-1\/7))\/(b**(4\/3))**(2\/17))**(9\/2) assuming b is positive.\nAnswer: b**(4659\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*z + 484 - 413 = 47*z - 3379 for z.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -40. Suppose -6 = 14*n - 76. Suppose -3*d + 4*l + 8 = 8*l, l = -n*d + 19. Solve -k + 4 = -t*o, 3*k = -d*o - 8 + 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 1. Let l be (-6)\/(-2 + 48\/9). Let t = l + 109\/55. Put z, t, 1\/4 in decreasing order.\nAnswer: z, 1\/4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 463 + 453*n + 2*n**2 + 1087*n - 464 + (0*n + 3*n + 0*n)*(3*n - 2*n - 3*n).\nAnswer: -4*n**2 + 1540*n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 - (-36)\/(-21))*14\/6. Sort 0.1, x, -4, 4\/3 in increasing order.\nAnswer: -4, 0.1, x, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (10 - 6) + -7 + 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -183097\/16422560 + 1\/16555. Let h = p - -2691\/421600. Let k = -868\/3825 - h. What is the third biggest value in k, 0.1, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 44e4 - 1d?\nAnswer: 44c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1565278 to the power of 1\/2, to the nearest integer?\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 15, r: 3}. What is prob of picking 3 r?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**5\/k*k*k)**(2\/19)*(k**(-35))**(-2\/5))**40 assuming k is positive.\nAnswer: k**(11200\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 2:35 AM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 824 and 2487244?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 819149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, r: 1, d: 1, j: 1, z: 2, f: 1}. What is prob of sequence fzz?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j. Let o be -15 + 11 + -1 + 5. Let a(r) = -r - 3. Let f be a(-5). Let q(l) = o + 0 + 2*l**2 - l**f. What is g(q(z))?\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeebebeebeeebeee. Give prob of picking 1 e and 1 b.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 8*r - 5. Let n be a(7). Suppose n*p + 2*p + g = -35, -p + 3*g = 25. Let f = p + 22. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-4))\/(z*z*z\/((z*z\/(z**(-16)\/z))\/z*z)*z))\/((((z*z\/(z**4\/z))\/z)\/z)\/z**1) assuming z is positive.\nAnswer: z**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -162, 0.5 in ascending order.\nAnswer: -162, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from {m: 1, f: 1, l: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**4 - h**3\/3 + h**2\/2 - h + 983. Suppose 0*t + t = 2*m - 5, 0 = -4*t + 5*m - 14. Let r = t + 2. Determine n(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5965.757ns in seconds?\nAnswer: 0.000005965757","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30110 - -120100?\nAnswer: 23330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 189\/(-28) + (-2)\/8. Let q(p) = -13*p**2 + p - 8*p + 12*p**2. Let m be q(z). Solve -s = 3*t + 7, 4*t + 5 = 3*s - m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1581854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17248, 138452, 467744, 1109266, 2167160, 3745568, 5948632?\n\"Answer: 17357*k**3 - 98*k**2 - k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 3*y**2 + 5*y - 6. Let x be w(4). Let q = 0 - x. Solve 2*o = 0, 6*o - q*o = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 4:51 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -301*a + 601*a + 634*a**3 - 300*a.\nAnswer: 634*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/23, 0.2, 0.01, 2, 0.02?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7*l**2 + 5*l - 2. Is p(2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2366 - 2368 - (4 + 0 + -1 + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 931\/5 + -187. Let k = -546 - -546.4. Let q = 0.7 + 0.3. Which is the nearest to q? (a) k (b) -0.9 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2 - 3*l + 12. Let w(u) = -1. Let c(p) = -3*r(p) - 36*w(p). What is the second derivative of c(i) wrt i?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4, -35, -148, -385, -788, -1399, -2260?\n\"Answer: -7*v**3 + v**2 + 15*v - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1035214283?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32.08 - -32.68. Which is the nearest to 1? (a) -0.3 (b) -0.5 (c) 18 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -315*o - 1025. What is q(-3)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/(-21)*47\/((-2538)\/(-567))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 70\/15*(-6)\/(-7). What is the greatest common factor of r and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzn when three letters picked without replacement from nnnnnnnnnnnnznnznn.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.06566 + 0.01634. Let t = -1414031 + 1414031.08200044. Let a = q - t. Round a to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35\/(2275\/(-156))*20\/6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*q**2 - 77*q**2 + 12*q - 38*q.\nAnswer: -183*q**2 - 26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 291.3 - 291. Let t = -19 - -32. Let c = -18 + t. What is the nearest to c in -0.2, 0.5, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.674 + -0.51. Round p to two decimal places.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -5)\/(-4)*192. Suppose -586 + a = -5*p. Is 2\/10 - p\/(-35) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 7.01\nAnswer: -35.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 + 493*z + 60953. Calculate p(-244).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 8100 = -3*w. Round w to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57519426.0999777 + 57519474. Let g = i - 47.9. What is g rounded to 6 decimal places?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + sqrt(108) + -5 + -5 + 0 + sqrt(108))**2.\nAnswer: -288*sqrt(3) + 575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*i + 11821 = 267*i - 11443 + 2672 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of 295*t**6\/6 + t**4\/4 - 20*t**3\/3 - 5*t - 410. What is the third derivative of q(o) wrt o?\nAnswer: 17700*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-1868)\/104 - 264\/(-24)?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**4 - 16*g**3 + g**2 + 0*g + 0*g**2 - 251 + 73 - 2*g + 13*g**3 to the form r*g + h*g**4 + n*g**2 + d + w*g**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -14. Let z = -27 - -29. What is the lowest common multiple of 2 + (18 - z)\/4 and o?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2905976707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -646.9595 to 0 decimal places.\nAnswer: -647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 194 - 110. Suppose w + 6 = -5*u, 21*u + 2*w + 6 = 17*u. Which is the third smallest value? (a) o (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 12:23 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -51*o - 47. Give g(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-4890))\/(18\/130412). Let f = 1\/2445 - a. Calculate the common denominator of 59\/21 and f.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 203535909 and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 - 6*j + 9. Let a be g(-7). Suppose -3*l - 1 - 2 = 0. Suppose -189*v + 2078 + 537 = 338*v - 1074. Sort a, 5, v, l.\nAnswer: l, a, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1440 and 14723136.\nAnswer: 73615680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 3 + 3)*(5 - 2 - 2) - 5 + 5 + 1 - 3 + 0 + 4)*(-4*c - c + 4*c)*(2 + 1 + 2) as y*c + s and give y.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a century in decades?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 0 - 1. Let k(v) = -67000*v**3 - v**2 + 1. Let z be k(p). What is z rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i + 25 = 3*v, 3*v + 100 = 4*i. Suppose 5*z = 5 - i. Let t = -29 - -202\/7. What is the biggest value in z, -0.2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-161160)\/(-96) + -2 + (-18)\/(-8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t**2\/17 + 200*t\/17 + 950\/17 = 0 for t.\nAnswer: -95, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j**2 + 13*j. Let d(h) = -5*h**2 - 12*h. What is -7*d(b) - 6*f(b)?\nAnswer: -b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5 - (-20)\/(-6))\/(1\/3). Solve j + 8 - a = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 6:43 PM?\nAnswer: 3:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 449722.9 days in seconds?\nAnswer: 38856058560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -10010011?\nAnswer: -10001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -99*t + 92*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(98) + 2.\nAnswer: 4 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*u - 45 = -393 for u.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/168 and 95\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 222*t - 1193280 + 1199940 for t.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 18 = 5*v, -258*v - 2*u = -257*v + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 5*u**2 - 2*u. Let q be d(4). Let h = 46 + 26. Calculate the highest common factor of h and q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**5\/5 - 2*m**3\/5 + m\/5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y. Let z(l) = 671*l + 13. Let t(i) = 331*i + 6. Let r(v) = 13*t(v) - 6*z(v). What is r(p(f))?\nAnswer: 831*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 10:35 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of 5*z**4\/24 - z**3\/2 - 6*z**2. What is the units digit of y(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 5 - 59 = 0. List the prime factors of v\/(-8) + 14 + -1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4230176)\/152 + (-8)\/(-76). What is p rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 2*p**2 - 2*p - 11. Let v(i) = -1887*i**3 + 691*i**2 - 4*i - 19. Let x(r) = 2*t(r) - v(r). What is the third derivative of x(f) wrt f?\nAnswer: 11334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h**3 + 2*h**3 + 2*h**3)*(-1821 + 59*h + 1821).\nAnswer: -177*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2*245272\nAnswer: 490544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 516013 a multiple of 212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 4*d**2 - 2*d**2)*(166*d - 21*d**2 - 166*d)*(-1 + 5 - 2 + (0 - 2 + 1)*(0 + 6 - 5) - 2 + 2 - 2).\nAnswer: 21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -67, -5, 4, 39 in decreasing order.\nAnswer: 39, 4, -4, -5, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t - 6. Let z be k(-8). Suppose 4*u + 4*w - w - 79 = 0, -5*u + 90 = z*w. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71306?\nAnswer: 2, 101, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/(sqrt(2) + sqrt(72) - sqrt(2))*-5 + -1.\nAnswer: -5*sqrt(19)\/6 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.5 - 2.7. Let y = 883 - 886. Let x = g + y. What is the second smallest value in x, -1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 6. Let n be (9\/g)\/((-2)\/(-2)). What is the second derivative of 0*h - h**2 - 2*h + n*h wrt h?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -26, -2, 34?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -29*y**2 - 1556*y - 95. Determine q(-53).\nAnswer: 912","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**5\/20 + x**3\/3 + 23*x**2 + 6*x - 6. Let g(v) = -25*v**2. Determine t(g(f)).\nAnswer: 1875*f**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**3 - 2*x**2 + 1. Let c(d) = -139*d**3 - 8*d**2 - 22*d + 7921. Let f(r) = c(r) - 4*h(r). Differentiate f(s) wrt s.\nAnswer: -381*s**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.64, 19, -1\/3?\nAnswer: -0.64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -41746756 - 0.1\nAnswer: -41746756.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1685 + -1683. Put p, -11, 21 in decreasing order.\nAnswer: 21, p, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 5 + 3 + (-6 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2759179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*9\/((-9)\/5). Let a(j) = -10*j**3 - j**2 + 1. Let s be a(-1). Let o be (-4)\/s - 9\/(-10). What is the nearest to o in -2, v, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4939, -5152, -5509, -6010?\nAnswer: -6655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*k + 40 = -4*w, 4*k - 2*w - 216 = 0. Suppose k = g + 50. What is the least common multiple of g and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 e when three letters picked without replacement from reeer.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 + 11*v - 13. Let a be j(8). Suppose 1327 - 46 = -7*f. Let k = f + a. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/17)\/r*r\/r**5)\/(((r\/(((r\/((r*r**(-1\/5)*r*r)\/r))\/r)\/r))\/r)\/(r*(r*(r**(-1\/5)\/r*r)\/r*r)\/r)) assuming r is positive.\nAnswer: r**(-120\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-124 - (32 - 94)) + -17\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-2) - (-69)\/21. Let i(v) = -v**2 + 5*v - 2. Let q be i(5). Let o = -0.4 + 0.8. Which is the closest to q? (a) 2 (b) o (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2, 34, 3\/2, 1\/4, 6.6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7598 and 986?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -g + 2*j, -5*g - 2*j - 3*j = -355. Suppose -2*q + g = -4. Calculate the remainder when q is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/(-10) - 26673\/(-85)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284530 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51787, 204906, 459391, 815248, 1272483, 1831102, 2491111, 3252516?\nAnswer: 4115323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25c88 (base 16) to base 2.\nAnswer: 100101110010001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uy when two letters picked without replacement from pxmyxmuhyyym?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1909)\/(-3818))\/((-2)\/44)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*c - 100, -5*j - 5*c + 78 + 87 = 0. Suppose 0 = -b + j + 239. Suppose 3*z - 6273 = -b. What is z rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2502710 and 0.033?\nAnswer: 82589.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x = -20*x. Put 5, 18, x in decreasing order.\nAnswer: 18, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23663*h*t**2*v**2 + 2*h*v**2 + 1356*h*v - t**2*v**2 + 4*v**2 with respect to t.\nAnswer: -47326*h*t*v**2 - 2*t*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*q**2 + q**2 + 3*q**3 + q**3.\nAnswer: 4*q**3 + 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**3 + 60145*c**2 + 180479475*c - 2356408665 = 0.\nAnswer: -6021, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 4*f - 436, -4*f + 410 = -o - 11 for f.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 1621058?\nAnswer: 648423.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 - 3. Let c be x(3). Suppose -p - c = p. Let d(f) = -5 + 1 + 7 - 2*f. Give d(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 849487 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 470 = 3*y. Let t = 190 - y. Suppose 0 = -35*v + 40*v - 12*s - 624, 0 = 3*v + 4*s - 464. What is the greatest common divisor of v and t?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1122?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -28?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 76\/291 + 7\/97. Let x = -0.202 - -0.002. Which is the nearest to g? (a) 0 (b) 0.4 (c) x (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/((-9570)\/10))\/(1*(-5)\/(-30)).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2431 + -1442. What are the prime factors of l?\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719841 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 68\/3. Calculate the common denominator of x and -13\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 13588, 53906, 121098, 215164, 336104, 483918, 658606?\n\"Answer: 13437*r**2 + 7*r + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 161393203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 + (-1)\/(-2). Suppose z = -o - 2299 - 51701. What is o rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y + 2*s + 16, 3*y + 3*s + 4 = 10 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1676 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d - 10*d - 6*d - 9*d - 2 to k + i*d and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 5972343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of 3*o**4\/16 - 11*o**3\/12 + o**2 + 101*o. Factor j(l).\nAnswer: (l - 2)*(9*l - 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-12 - 1 - 6*p + 17 + 2 - 2 - 2*p + (-p - p + 0*p)*(1 + 1 - 1) + 0*p + 3*p - p + 39*p - 19*p - 14*p).\nAnswer: 4*p - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -31?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -111 + 353 + 4*m**2 + 140*m - 106 = 0.\nAnswer: -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263 = 2*v - 3*u, -2*v + u - 261 = -4*u. Let i = v - -249. Suppose -3*s + 949 + i = 0. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 88 and 2305248?\nAnswer: 2305248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8977645 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 12*z**2. Let m(a) = 15*a + 1. Give o(m(j)).\nAnswer: 2700*j**2 + 360*j + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**4\/7 - 36200*x**3\/7 + 72228*x**2\/7 + 201600*x + 2605824\/7 = 0 for x.\nAnswer: -3, 8, 9048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1.09464 and -4.\nAnswer: -5.09464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1247 + -1245. Which is the third biggest value? (a) 429\/4 (b) r (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 33, 53, 91, 153, 245?\n\"Answer: p**3 + p + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * -1482\nAnswer: 74.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 + -6 + (0 - 19 - 2)\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -60402 (b) -8 (c) -0.1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 + 21*l + 44 - 6*l)*(-3*l**2 + l**2 + 0*l**2).\nAnswer: -30*l**3 + 16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -42 in -5, 142, -3\/5, 1.3, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2781769.\nAnswer: 907, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/22 and -69\/1306?\nAnswer: 14366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x - x**3 - 3*x + 2*x**3 - x**3 + 0*x**3 + (x**2 + 0 + 0)*(-3*x + 6*x - 2*x) in the form f + z*x**3 + o*x**2 + s*x and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 13333742.6 and -0.2.\nAnswer: -2666748.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 5*g**4\/24 + g**2. Let c(t) = 7923 - 3961 - 3962 + 4*t. What is c(v(a))?\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of h**4\/6 - 5*h**3\/27 - h**2\/6 + 2*h\/9 + 8. Factor o(q).\nAnswer: (q - 1)*(2*q - 1)*(3*q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of 2\/3*v**3 - 3 - 1\/4*v**4 + 2*v**2 + 1\/30*v**6 + 0*v - 1\/10*v**5. Let c(f) be the second derivative of k(f). Factor c(s).\nAnswer: 2*(s - 2)*(s + 1)*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 89704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 82*b + 95. Calculate the remainder when m(4) is divided by 33.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -352946 less than 1.9?\nAnswer: 352947.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17338032.6 rounded to the nearest one million?\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1078 at most -153975\/143?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/((-15)\/6)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 0*p - 63 - p + 59. What is j(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 594 and 41085.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*c + c. Is -1*(c - -3) - -408 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55927164 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372239*k**3 - 372226*k**3 - 2 + 0 + 2.\nAnswer: 13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-8)*(-189 - -181).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -2, 5, 0 in decreasing order.\nAnswer: 7, 5, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1133 + 1?\nAnswer: 1134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72971.\nAnswer: 43, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g - 3. Let q be j(-3). Suppose -q*o = -251 - 172. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -9. Let n be 14\/(-8) - (-15)\/(-60). Sort f, 0, n.\nAnswer: n, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 d when three letters picked without replacement from {d: 2, v: 9, c: 7}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 13. Let k(j) = -j**3 - 7*j**2 + 10*j + 8. Let x be k(-8). Let c be (-3)\/((-1)\/x*6). Sort i, c, -3 in descending order.\nAnswer: -3, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2314677\/35 - 462934\/7. Let w = -1\/13 - -72\/91. Let h = 0.1 + 0.4. What is the smallest value in w, h, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-56) + 1\/2. Let b = -353543\/235690 - -4\/117845. Suppose p + 4 = -p. Put -2\/3, x, b, p in increasing order.\nAnswer: p, b, -2\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 + 13*o**2 - 16*o + 3. Let j be r(10). Calculate the highest common divisor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2*j = 6, -2*z - 2*j - 10 = -4*z. Let k = 5 - z. Which is the closest to k? (a) -2 (b) -0.4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2*w**2 + 3*w - 1. Let s(r) = -r**2 - r. Suppose -x + 2*x - 5 = 2*z, 5*x + 2*z = -23. What is x*s(o) - q(o)?\nAnswer: o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104537 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x + 11 = -z + 38, 5*z + 6*x = 14*x - 8*x - 3*x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 22 = m - 106, h - 2*m = 93. Does 29 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 328404732 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8.1574 + -0.0306. Let m = -8.99 - n. What is m rounded to two dps?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*b + 11. Let z be 1\/(2\/8) - b. Suppose -4*x - x + 5*o = -20, -16 = -3*x + z*o. Solve -x*a - 3*a = -5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 99960983 to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 p when two letters picked without replacement from pppppypp.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/((-1)\/6). Let v(r) = -8*r**2 + 4*r + 2. Let d(s) = 11*s**2 - 2*s - 1. Let j(z) = 3*d(z) + 4*v(z). Give j(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f - 6*f = 924. Suppose f*u - 233*u = -884. Is u a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:37 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (665460\/225)\/(6\/105)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2369134909?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5*x**2 + 22*x - 3. Let i(a) = -a**2 + a - 1. Give 2*i(w) - z(w).\nAnswer: 3*w**2 - 20*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, a: 1}. Give prob of picking 1 a and 1 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 10)*(-8*x - 6*x + 11*x + (-2*x - 2 + 2)*(3 + 0 + 1)).\nAnswer: 121*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2100202210 (base 3) to base 6\nAnswer: 555120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 + 0*f**3 + 0*f**3 + (-2*f**2 - 2*f**2 + 6*f**2)*(-3*f**2 + 0*f**2 + 0*f**2) to the form u*f + l*f**2 + s*f**4 + j + a*f**3 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34153 (base 7) to base 10.\nAnswer: -8662","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 290841 and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tkfktifif. Give prob of sequence kft.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 49 = -4*z, 4*z - 420*a - 46 = -402*a for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1775*u + 3220 = 1453*u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -55, -93, -137, -187, -243?\nAnswer: -305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**2)**(-1\/5)\/(p*p**(-8)*p\/(p**(-9)*p)) assuming p is positive.\nAnswer: p**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - -6)\/(1\/(-9)). Calculate the greatest common factor of 18 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7462111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4851472*p**3*z**3 - 1858*p**2*z**2 - 8614*p*z**3 wrt p.\nAnswer: 29108832*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -6 + ((-288)\/(-168))\/((-6)\/(-22))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 1. Let y be r(-1). Suppose 2*t - 4*i + 2 = 0, -5*i = 5*t - 11 + 1. Let u be (3 + y)\/t - 1. Are 0 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**3 - 1028*q**2 - 2062*q - 1032 = 0.\nAnswer: -1, 516","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (3\/(-9))\/((-2)\/(-66)). Solve a = 4*v - 2*a - 10, -4*a = -c for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, e: 2, w: 4, l: 3, x: 3, o: 2}. Give prob of picking 1 l and 1 k.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 6 in decreasing order.\nAnswer: 6, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -80557691119 + -0.42.\nAnswer: -80557691119.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 385843121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 108 = 4*r, r - 2*t - 12 - 30 = 0. Let c = 29 - r. Let q(m) = -2*m**2 + 3*m + 2. What is q(c)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -92*k**3 + 46*k - 10. Let n(b) = 18*b**3 - 9*b + 2. What is -11*n(s) - 2*o(s)?\nAnswer: -14*s**3 + 7*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from itxyd. Give prob of sequence dxyi.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -17. Let s = -9 - v. Solve -s*b = 12, -5*z + 4*b = -b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*12\/(-28).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(2*k - 3 + 3)*(-252 - 99 - 60).\nAnswer: -822*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5940 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/9)\/((-1)\/6). What is the lowest common multiple of y + (9\/3 - 1) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-10)*(-1 - 7)*1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, t: 1, k: 4}. Give prob of picking 1 v and 2 k.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000089295 to seven dps.\nAnswer: 0.0000089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -15621 greater than or equal to -15621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50809\/(-1639) + 7 + 2 + 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 4) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1104 is divided by 83?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a meter in millimeters?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30795 by 6159.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19199268 to the nearest integer?\nAnswer: 4382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 808 = -21*s + 955 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125698, 529346, 1202084, 2143906, 3354806, 4834778?\nAnswer: 6583816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 7 = -5*a, 4*v - 2*a - 7 = -21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 12:31 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(27) - (sqrt(189)*-2)\/sqrt(7))*4)\/((-1*sqrt(900))\/sqrt(4)))**2.\nAnswer: 1296\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 24328364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 1. Let p be q(1). Suppose -3*z - 4*o - 2 = p, o = -z - 3*o + 10. Let r be (2 - 0) + 13\/z. Which is the closest to -3? (a) 0 (b) 4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.7 - -6. Suppose 18*g - 14*g - 64 = 0. Let r be 1\/(-3)*72\/g. Which is the biggest value? (a) r (b) 1 (c) k (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3\/5515, -0.3 in ascending order.\nAnswer: -4, -0.3, -3\/5515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 321 + -319. Suppose 0*c = 5*c. Put c, u, -5 in decreasing order.\nAnswer: u, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 218 a factor of 18*(-28776)\/(22 - 34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-1 - -3) + 0 - (592 + -27 + -469)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/12)\/((693\/(-12))\/(-33))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -410*s**3 - 2*s + 181 wrt s.\nAnswer: -2460*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-2)*((-18)\/27)\/((-182)\/(-1560))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 352.292 rounded to the nearest ten?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 - 4)*(2 + 50\/(-20)). Let w be -3 - 0 - (-2052)\/703. Is p greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 4*b. Let g(k) be the second derivative of 43*k**3\/3 - 4*k + 60. Give v(g(u)).\nAnswer: 344*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Suppose -40*h = -39 + 199. Suppose 6*d = -20 + 32. Which is the closest to d? (a) h (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2727)\/(-8181)*(-1 + -110).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 27794286?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 252, -2, -52, -30 in descending order.\nAnswer: 252, -2, -30, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f + 6*f - 2*f + 7*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvvvcccvdv. Give prob of picking 2 v, 1 d, and 1 c.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1893 + 2.5893. Which is the smallest value? (a) -1780 (b) 0.5 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a decade in months?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-130)\/18 + 12\/54. Let v be ((-2)\/f)\/(4\/28). What is the lowest common multiple of v\/(-3) + 96\/9 and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120021220101 - -11?\nAnswer: 120021220112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1768 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, i: 4, o: 1}. Give prob of sequence vo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -293 - -327. Let q = -139 - -146. Calculate the remainder when y is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l - 5*l - 8*l + 22*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -22*w. Let o(k) = -5*k - 3*k + 2*k + 2 + 5*k. Let l(c) = c - 3. Let a(i) = -2*l(i) - 3*o(i). Give a(p(b)).\nAnswer: -22*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -23, -18, -13, -8, -3?\n\"Answer: 5*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 544253 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*z**4 - 5*z**4 - 11*z**4 + (0*z**2 - z**2 + 3*z**2)*(2*z**2 - 17*z**2 - 29*z**2) to the form s*z + d*z**3 + g*z**4 + r*z**2 + f and give g.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*m - 73*m - 4*x = -12, 0 = 3*x - 9 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23754344.04998788 + 23754345. Let m = y + -0.95. What is m rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -5)\/2 - (-1989)\/13. Suppose 146*d = r*d - 1760. Suppose -6*y + 1018 = d. What are the prime factors of y?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 10 + 10. Let t(s) = 2*s + 57. What is the tens digit of t(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 34*u**2 + 147*u + 15. What is b(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 15, o: 3}. What is prob of picking 1 x and 2 o?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 x when two letters picked without replacement from {x: 1, h: 7, c: 1, a: 4, f: 2, g: 3}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -12535 (base 6) to base 5\nAnswer: -30211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/5 - 62346742*h\/5 - 62346741\/5.\nAnswer: -(h + 1)*(h + 62346741)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125.871 - 0.129. Let r = u + 127. Which is the third biggest value? (a) -16 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58287, 116495, 174687, 232857, 290999?\nAnswer: 349107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 5, -3, -2, 3274 in increasing order.\nAnswer: -5, -3, -2, 3, 5, 3274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -18, -6, 3 in ascending order.\nAnswer: -18, -6, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 p when three letters picked without replacement from lplphpapapopppppvoa.\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2 - 8*f - 5. Let z be k(-8). Let x = -41 - z. Round x to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19154 and 1447774?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 - 866*z**2 + 2601*z + 31. Calculate b(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 + 5*a**2 - 11*a**2 + 2*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -6. Let f(j) = -h*j - 9*j + 20*j - j. Let p(w) = -34*w**2 - 48*w**2 + 63*w**2. Give p(f(g)).\nAnswer: -76*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 78 = 3*n, -130 = -5*n + 3*m - 0*m. Suppose -4*u = 2*g - n, -2*g + u + 16 = -15. Calculate the highest common factor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 5*f + 20 = 0, 30*h + 32*h = 57*h + 4*f + 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53624*f**3 - 107468*f**3 + 53864*f**3.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-5)\/4 + (-191919)\/(-364)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14315699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z. Let u(w) = 216403*w. Calculate u(b(o)).\nAnswer: -216403*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 325058597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3*4\/(-6))\/(-2). Let o be (-1)\/a - (-4)\/(-1). Let s be o\/9 - 19\/(-3). Let x(r) = -r**2 + 7*r - 1. Give x(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51481*i**5 - 117*i**4 - 5878*i**2 - 3*i - 163 wrt i?\nAnswer: 3088860*i**2 - 2808*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -5*l**3\/6 - 53*l**2\/2 - 1788*l. Calculate k(-10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 577 - -20?\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/(b*b**(2\/13)))\/((b*b**(-1)*b)\/b))\/(b**(2\/31)\/(b\/b**7*b)))**(-20))**(2\/85) assuming b is positive.\nAnswer: b**(16824\/6851)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 3807484 to the nearest one thousand.\nAnswer: 3807000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i + 6*i - i**3 - 4*i + 9. Calculate the remainder when b(0) is divided by -4 - -3 - (-1 + -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102101012 + 101200?\nAnswer: 102202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(3 + (-2 - 0)). Let u(o) = -3*o - 15. Let f be u(-16). Let b = f - 30. Solve 4*m - b*m = h for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255168269?\nAnswer: 307, 831167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1034\/(-22) - -43) + 2 + (-50)\/(-24).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2202778 and -2202778 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 348caa (base 13) to base 11\nAnswer: 7825a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1476 = -2*v + 5*z + 1324, -2*v + 2*z + 2794 = 0. Let n = -910 + v. Suppose 16*t + n = 21*t. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 0*g**3 + g**2 + 2*g + 0*g - 3*g**2. Let u(k) = -4*k**3 - 7*k**2 + 7*k. Calculate 7*d(c) - 2*u(c).\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzzrzrhrhhhzhhhz. What is prob of picking 2 z and 1 h?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -281 - -241ab?\nAnswer: 23d2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**3\/3 - 9*a**2\/2 - 68*a - 5532. Calculate y(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4444*a**3 + 2*a + 101*a**4 + 254*a**4 + 97*a**4 + 4446*a**3 as o*a**4 + s*a + t*a**3 + y + n*a**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42\/53 + -104\/265. Put -0.26, l, -6\/11, -1 in ascending order.\nAnswer: -1, -6\/11, -0.26, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 18614?\nAnswer: -2\/9307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8912.\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 439\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3052 minus 1?\nAnswer: -0.6948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(448) + sqrt(448) + -5.\nAnswer: -8 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 27359 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 39, 21, -15, -75, -165, -291, -459?\n\"Answer: -q**3 - 3*q**2 - 2*q + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -4*h + 4*u, 2*h + 3*u = 2*u - 23 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (-5 + -1*sqrt(2)) - sqrt(96)\/sqrt(12) - (sqrt(4)\/(1*sqrt(128) + sqrt(2)))**2.\nAnswer: 403\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/11, 4.7, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.6850829 rounded to three decimal places?\nAnswer: -3.685","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/(-182)*(-7)\/(-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -14*w + 2 + 9 - 38, a - 14*w - 2*w = 69 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3129 + -3136.2. Let h be 4\/(-8) + 10\/36. Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 2. Let j be (-1)\/((91\/(-728))\/(6\/(-16))). Sort 0.4, j, f.\nAnswer: f, j, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: a2 (base 16) to base 2\nAnswer: 10100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (8\/2 - (1 - 0)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4322*-0.32671.\nAnswer: 0.141204062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -39102, -39069, -39036, -39003, -38970, -38937?\n\"Answer: 33*a - 39135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100003 + -11?\nAnswer: 33332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 14288 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, i: 11}. What is prob of sequence iijj?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 16. Let i be k(-20). Suppose -2*s - 2*s = d - 9, 0 = -5*s - 4*d + 25. Put 5, s, i in ascending order.\nAnswer: i, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 5. Suppose n*h = 4*m + 36399996, 2*m + 4*h = -28299791 + 10099787. Round m to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1800, -7154, -16060, -28518?\nAnswer: -44528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1601*p**3 - 533*p**3 - 534*p**3 - 533*p**3.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqeeeyquqyequqeqeye. What is prob of picking 1 u and 2 e?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 261 and 170163?\nAnswer: 4934727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 73.78 - 76.78. What is the closest to 1 in 5\/2, 2\/5, 11, o?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 14 = 18. Sort a, -2, -5, 18 in decreasing order.\nAnswer: 18, a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rgjg when four letters picked without replacement from rgjgggrrgrr.\nAnswer: 5\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 - -25. Let p = -17 + w. Let j = 0.1 + -0.2. Which is the second smallest value? (a) p (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 510 divided by -30?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 922810.\nAnswer: 2, 5, 7, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/144 and -53\/333.\nAnswer: 5328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15226890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15259978*x**4 + 932794*x.\nAnswer: -183119736*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Express -4 - r + 2 + 6 + (0 + 0 - 2)*(-4*r - 39 + 39) as d + l*r and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h + 38*h + 306 = 0 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2827, -8155, -46759, -126797, -262081, -466423?\nAnswer: -753635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-130)\/(-3) + 2\/3. Let z = -221\/5 + d. Put -3, 0.3, z in ascending order.\nAnswer: -3, z, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 51 = -1. Suppose -5*f + 4*f + y = 0. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -5*z - 6, -z + 39082 = 3*a. What is the hundreds digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -49*q + 50. Let t(b) = -147*b + 143. Let g(a) = -17*j(a) + 6*t(a). Let s(r) = 4*r**2. Determine s(g(y)).\nAnswer: 9604*y**2 - 3136*y + 256","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 + 22. Let d(u) = u**2 + 6*u + 5. Let z be d(-4). What is the nearest to 0.2 in -3\/7, c, z?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m**2\/m)\/m*m**3)**(18\/7) assuming m is positive.\nAnswer: m**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 46, 4, 1, -4 in decreasing order.\nAnswer: 46, 4, 1, -4, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*h*u**2 - 7*h*u - 5*u**3 - 2*u**2 - 11*u wrt u.\nAnswer: -16*h - 30*u - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*sqrt(68)\/sqrt(4).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 179014717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3540 + -35371\/10. What is the common denominator of -27\/70 and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 14, u: 1}. What is prob of sequence ff?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 135 + -131. Let b(m) = -2*m**2 + 3*m + 7*m**2 - m**3 - 5 + 0*m**2. What are the prime factors of b(k)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 - 129*w**3 - 267*w**2 - 135*w.\nAnswer: 3*w*(w - 45)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -24. Suppose -r*g + 4 + 26 = 0. Which is the nearest to 1? (a) 2\/7 (b) g (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -517 - -3487. List the prime factors of d.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -298*t + 4435 = -333 for t.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 2*g - 19410. Let k(d) = 5*d - 10. Calculate a(k(t)).\nAnswer: -25*t**2 + 90*t - 19490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 26327*p**3 + p**2 + 18022.\nAnswer: 157962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5422152 days in microseconds?\nAnswer: 46847393280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -35 (c) 0 (d) 3 (e) 1.8 (f) -0.2384\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from vrevvevevvvvvvvevrev?\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/3 - 46*g**3\/3 + 49*g**2\/3 + 94*g\/3.\nAnswer: -g*(g - 2)*(g + 1)*(g + 47)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1985 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/9 (b) -1606 (c) 83 (d) -0.4 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o\/((o*(o\/o**(-1\/4))\/o)\/o)*o))**(1\/24)*(o**(4\/7))**(8\/9) assuming o is positive.\nAnswer: o**(793\/2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/9)\/(-4) + (-10)\/24. What is the third biggest value in 2\/3, q, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3. Let t(w) = 2*w**2 + 14 + 13 - 35 - w**2 + 7. Let q(h) = -9*h**2 + 7. Give b*q(c) - 6*t(c).\nAnswer: 3*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + -3 - -9 - (-14 + 3) - -1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 425355729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75072278*j - 75072278*j + 10*j**2.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -79 - 3?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 12:03 PM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 270560783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 688741 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -977270, -977413, -977556?\n\"Answer: -143*f - 977127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (1388\/(-6))\/(24\/(-36)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.28 and -4.\nAnswer: 1.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 23.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4927, -4 in descending order.\nAnswer: -1, -4, -4927","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2838719 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-30))\/((-295)\/(-177)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q - 4. Let r be c(4). Suppose 0 = t - r, 0*k + t - 3 = k. Let o be (-150000)\/((-2)\/(k + -25)). Round o to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1297600177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 78884951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 39 = -4*c - 7, -2*c - 92 = 4*n. Let x be n\/(-8) - (-227)\/(-76). Which is bigger: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108092 is divided by 263.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of 3*p**3 - 843. Let q(y) = -151*y**2. Give a(q(w)).\nAnswer: 205209*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*r = 106*r - 8, -5*v - 4*r - 214 = 0. Let c = -67 - -22. Which is bigger: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l - 3. Let m be -4*(1 - (-2 + 7)). Suppose 4*g + 2*w = 14, -7 = -3*g + 4*w + 9. Let v = g + -1. Let j(t) = 10*t + 16. What is m*a(s) + v*j(s)?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**3 - 23*s**2 + 55*s + 14. Let a be k(8). Solve 2*l = a*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/((1 + 0)*-1). Let l = 10 + -7. Suppose -k + d*k + l = 0. Is k less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 246*q**3 - 9*q**2 - 4*q + 2. Let p be z(5). What is the derivative of 113*s**4 + 166 - p*s**2 + 30507*s**2 wrt s?\nAnswer: 452*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*g + 2. Let d(y) be the first derivative of 0*y**2 + 0*y**5 + 1\/3*y**6 + 1\/3*y**g + 4 + 0*y + 0*y**4. Find the third derivative of d(l) wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 15*k - 16*k = -9*k. Solve k = -x + 43*x + 252 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(304) + 1)*5 + sqrt(304) + sqrt(19) + -4*(sqrt(19) - (sqrt(19) + 1)) + sqrt(19) + (sqrt(228)*-2)\/sqrt(12))**2.\nAnswer: 1728*sqrt(19) + 44100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kttcdnttcnnknn. Give prob of sequence kd.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**2 - 452187*h - 6331206 = 0?\nAnswer: -14, 150743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1286 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 70 = 5*p, -29*h - 4*p - 38 = -27*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 43. Solve -3*y - z*x = -x + 18, 12 = -4*y + 2*x for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*p + 448 = -627 + 283 for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 7683200 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 331770?\nAnswer: 663540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-233 - -5) + -2)*-10. What is x rounded to the nearest one hundred?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 60 = 4*t + 5*s, 2*t - 3*s - 30 = 0. Suppose -4*y - y - t = c, -12 = 5*c + 4*y. Suppose c*n = n - 10. Is n a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1040768?\nAnswer: 2, 47, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 18 = 58. Let x = -8 + w. Suppose -265 = -x*a + 6*a. Calculate the remainder when a is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((23256\/(-190))\/51)\/(6\/100)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*t - 7*y - 3, 5*t - 55 = 3*y. Let p be t\/3 + 2\/(-3). Suppose 2*d + p = 6*d. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134197 is divided by 4792?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14462908, 14462899, 14462896, 14462905, 14462932?\n\"Answer: h**3 - 3*h**2 - 7*h + 14462917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*i**2 - 40*i**2 - 3*i - 565*i**2 + 3*i.\nAnswer: -419*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 4944173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7\/890 - -187\/250090. Let d = 7573\/1967 - v. Calculate the common denominator of -97\/2 and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 625349869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*s**2 - 31*s**2 - 31*s**2 - 22*s**2 - 26*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -57*f**3\/2 + 12*f. Let g(z) be the second derivative of -z**3\/6 - 6*z + 556. What is m(g(t))?\nAnswer: 171*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0 + 0 - 800*v**3 - 15*v**2 + 827*v**3 wrt v?\nAnswer: 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 + t - 4*t + t + t + (-1 + 2*t + 1)*(1 + 0 + 1) + 4*t - 4*t + 2*t + 14*t - 12 + 12.\nAnswer: 19*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + b + 24 = 6*f, b = -f + 8. Let u(z) = -z**2 + 11*z - 2. Let y be u(f). Is (1 - 1) + y - 0 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**2 + 243*w + 91. What is q(82)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -756 = -4*q - 24*q. Let a = 19 + -10. Calculate the smallest common multiple of q and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2017010.86 - -0.3.\nAnswer: -2017010.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, 4, 2\/221, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c. Let b(z) = -z**2 - 11*z + 11. Let j(a) = b(a) + 2*w(a). Let r be j(-10). Is r greater than 18\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) - 5\/((-80)\/444). What are the prime factors of -11 + z - -1*3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-41)\/(-3) + (-16)\/24. Let w = u + -5. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -5964*v**3 - 45122*v**2 + 44654*v**2 - 20188*v**4 + 0*v - 4*v = 0?\nAnswer: -1\/7, -1\/103, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -712 (base 15) to base 13\nAnswer: -956","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 + -88. Suppose -32 = 2*d + 2*d. Is 93\/7 - d\/n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.018 in -0.4, -0.5, 4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.160499806 + 0.170499346. Let i = -1.99 - c. Round i to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 762 + -672. Let z(g) = -g**2 + 19*g + 18. Let r be z(18). Calculate the greatest common divisor of r and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2 + (sqrt(1700) + (-1 + sqrt(1700) - sqrt(1700)))*4 - 5*(sqrt(1700) - (sqrt(1700) + (sqrt(1700) + 1)*-3 - sqrt(1700))))**2.\nAnswer: 5440*sqrt(17) + 435493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 4*b**2 - 1)*((-57 - 33 + 72)*(1 + 0 + 1) + 4 - 4 - 1).\nAnswer: -148*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -645, 0.1, -6?\nAnswer: -645","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8600551 - -0.435845.\nAnswer: -8600550.564155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -424168 bigger than -425506?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34671985?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 q when three letters picked without replacement from eeeeeeeeeeeeeeeeqe?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4368 = -2384*x - 30592 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1406851 divided by -37.\nAnswer: 38023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11154?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -6*i**5 - 5*i**4 - 8*i + 5. Let o(h) = -5*h**5 - 4*h**4 - 7*h + 4. Let r(a) = -4*n(a) + 5*o(a). Find the second derivative of r(y) wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, -2\/13, 0.3 in ascending order.\nAnswer: -82, -2\/13, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from ixxxixixxx.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 8*p**2 + 2. Let i(k) = -2*k - 9. Let s be i(-6). Let g(t) = -7 - 14*t**3 + 16*t**s - 9*t**2 + 10. Calculate 3*c(n) - 2*g(n).\nAnswer: -n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 23*k*v**5 + 82*k*v**4 + 22523*k*v**2 + 2*k*v - 2*v**2 wrt v?\nAnswer: 1380*k*v**2 + 1968*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289.304 rounded to the nearest integer?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 1, 2*j + 71*c - 73*c - 6 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37100 rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 70588369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*a = 20, -2*x + 12 = 2*a - 4*a. Suppose 4*j + 11 = 3*r - x*r, -4*j = -2*r + 14. Let i = -4 - -6. Solve 9 + r = -i*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 2*z - 183. What are the prime factors of z?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 102959, 102957, 102959, 102971, 102999, 103049, 103127, 103239?\n\"Answer: v**3 - 4*v**2 + 3*v + 102959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q - 42*q - 99 = -30*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-21) + 0)*6\/(-20).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*c - 962 + 1070. Suppose -t - c = -2*j, -10*j + 14*j - 12 = -4*t. Solve g + 29 = j*s, -s + 6 = -5*g - 19 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 149197339 and 1589.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20001020220222 - 22?\nAnswer: 20001020220200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*o + 741 = -4*o. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/21 + 76\/14. Suppose l*g - 94 = 116. Does 21 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010260163 to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + r + 74, -3*x - 3*r = 1 - 31. Solve 1 + x = -3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118 - -81. Sort 5, -2, s.\nAnswer: s, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -26*q**2 - q. Let t(x) be the second derivative of x**4\/2 - 35*x - 1. Calculate j(t(k)).\nAnswer: -936*k**4 - 6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4996598*k**4 + 4*k**2 - 44949321?\nAnswer: 19986392*k**3 + 8*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 - 125?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 131402*z**4 + 1470*z**3 + 560466358*z?\nAnswer: 1576824*z**2 + 8820*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19734 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 + -16 + 13 - (0 + 13) - 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1862594 is divided by 620634?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2959, -2960, -2961, -2962, -2963?\nAnswer: -2964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l**2 + 7*l - 4. Let o be 13\/(-3) + 3\/9. Let i(y) = 3*y**2 - y - 3. Let b(g) = -g**2 + 1. Let c(r) = 21*b(r) + 6*i(r). Calculate o*z(t) - 5*c(t).\nAnswer: -t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 34*m**2 + m - 36. Let y be a(34). Let l(s) = -s**3 - 2*s - 2. Let f(k) = -k**3 - k**2 - 1. Calculate y*f(z) + l(z).\nAnswer: z**3 + 2*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 12 + (99\/(-55))\/((-2)\/(-40))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 4. Solve -3*l + 3 = 0, -c - 3 - o = -2*l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -400678*m**3*q**2 - 3*m**3 + 3*m**2*q**2 + 16355*m*q**2 - 27*m*q wrt m.\nAnswer: -2404068*q**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27438 is divided by 518?\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 5 - (-2 + 2). Let q(c) = 4*c - 1. Calculate the remainder when q(l) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 162 = 250. Suppose w*o = o. Solve -5*t = y - 17, o = -3*y - y + 3*t - 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 790406722?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53003, -106003, -159003, -212003, -265003, -318003?\nAnswer: -371003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.12 - -0.138. Let o = t - 0.0179942. Round o to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 54*t**2 + 16*t + 10726. Determine n(-57).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of 5*j**4\/4 + 5*j**3 - 23. What is k in x(k) = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, l: 7, j: 7}. Give prob of picking 2 l.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*k**3 - 3)*(14859*k + 14961*k - 29041*k).\nAnswer: 1558*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by (-1)\/(-2) - (-2064)\/96.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 4:56 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -233 (base 5) to base 14\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.5, -3, 2\/13, -7, -5 in descending order.\nAnswer: 2.5, 2\/13, -3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 550*x - 274*x - 276*x + x**2 + x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 751 - 69. List the prime factors of v.\nAnswer: 2, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**7\/35 - 2*g**3\/3 + g**2. What is the derivative of k(d) wrt d?\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l\/(l\/(l*l\/(l\/(l\/(l\/l**0))))))**(-42)*(l**(-5))**(-35\/2) assuming l is positive.\nAnswer: l**(-77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -302, -608, -914, -1220, -1526?\n\"Answer: -306*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2b - 105?\nAnswer: -c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 - -25. Solve 0 = i*d - 5 - 5 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, s: 2, f: 4, x: 1, d: 10}. Give prob of picking 1 w and 1 x.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -3. Let p = 2 - o. Suppose -2*m - i = -0*i - 1, -5*m - p*i = -5. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 13581735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 513 = -2*g + 5*k, 3*k + 3 = 0. Is 60 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(396) + 3)*-1.\nAnswer: 12 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 10 = -z, -3*z + 0*t - 4*t - 27 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -1\/2*f**2 - 5*f - 50. Calculate l(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19475626 to the power of 1\/2, to the nearest integer?\nAnswer: 4413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h + 38. Let v be r(20). Which is smaller: v or 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -460 divided by 92\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v - 6*v + 17847 = -1593. Calculate the smallest common multiple of 540 and v.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + i = g + 588, -5*i + 424 = 3*g. Suppose 0 = -5*s + g + 1487. What is the common denominator of 51\/11 and 1\/(1\/(s\/(-18)))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*k - 8*k + 98*k - 25*k - 24*k - k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -4*r + 366. Suppose i - 55 = 4*q, 2*q + r = -0*i + 2*i. Suppose -21 = -7*x + i. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1352 and -45\/10434736.\nAnswer: 10434736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of 0*d**3 - 9*d**2 - 9 + 0*d + 5\/6*d**4. Let r(a) be the second derivative of y(a). Let h(b) = -3*b. Give h(r(s)).\nAnswer: -60*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 822 and 16860?\nAnswer: 2309820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 193558628?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k - 2. Let r be o(6). Suppose 14 = -5*d - 2*w, -4*d - r + 0 = w. What is the least common multiple of -1 + 2 + 1 - d and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2093127.538 rounded to the nearest 1000?\nAnswer: -2093000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/25 + 6\/(-15). Let i be (-3 + l)\/(-9*(-1)\/(-21)). Suppose 76 - 12 = 4*c. Solve -i*k + 3*k = c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.008 - -0.008. Let s be ((-2)\/(-3))\/((-2)\/(-9)). What is the nearest to k in s, -0.4, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3431, 4035, 4641, 5249, 5859?\nAnswer: 6471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -57*c + 20. Give l(2).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 99 - 341. Let q = s - -352. Let m = 133 - q. Calculate the smallest common multiple of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77771109?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7*v - 5*v**2 - 8*v - 8 + v**2 + v. Suppose -3*d = -5*d + 6. Let l(m) = 5*m**2 - 5*m**2 + 7 + d*m**2. Give 6*l(r) + 5*x(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43245933 and 2120?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 386.42157 microseconds to hours.\nAnswer: 0.000000107339325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5567 (b) 1\/2 (c) -127\/3 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(160\/30)\/16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140540947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2025 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -442 + 323. Let h = 118.679 + v. What is h rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1180*t**2 - 12*t - 1. Let y(l) = -1183*l**2 - 10*l - 1. What is 4*h(q) - 5*y(q)?\nAnswer: 1195*q**2 + 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 134, 4\/29, -1, -1\/5?\nAnswer: 4\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 146 = -l, -10*p + 2*l + 257 = -485. Let u = -18 + 29. What is the remainder when p is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -8.6. Let z = -0.54 - c. Let q = z - 0.05949. Round q to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**4\/18 + 235*t**3\/36 - 59*t**2\/12 - 1758*t. Determine q so that h(q) = 0.\nAnswer: -59, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -34? (a) 1\/4 (b) -1 (c) 33 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) -1\/8 (c) -5.425 (d) 0.5 (e) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202.6*736.\nAnswer: 149113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -461 - 319. Is 13 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-63)*-7*-6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2)\/3 + (-640)\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 348206 and 105700?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -558*q - 1155. Determine t(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(-1\/58) assuming s is positive.\nAnswer: s**(1\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43 + -8. Suppose -3*t + 262 = -o - 43, -2*t = -5*o - 199. What is the remainder when t is divided by g?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 + 5. Suppose 2*k - 46 = -32. Let b be k - (4 + d\/2). Solve f + 8*g - 15 = 5*g, b = 3*f - g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -6*b - 33, 9*b = 13*b - l + 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 2*y - 10*y - 5*y + 4*y.\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b63 (base 13) in base 8?\nAnswer: 14276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + 9. Suppose w + q = -4*w. List the prime factors of ((-9)\/2)\/(1\/w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18592978447, -18592978439, -18592978419, -18592978381, -18592978319, -18592978227, -18592978099, -18592977929?\nAnswer: -18592977711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -48762 divided by 9\nAnswer: -5418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -395, -1357, -2893, -5003, -7687, -10945?\n\"Answer: -287*y**2 - 101*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/9 + (-21)\/(-9). Suppose -r - o*m + 20 = 3*m, 5*r - 5*m - 250 = 0. What is the tens digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31011*o**4 - 4928*o**2 wrt o?\nAnswer: 744264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -407\/4 + 102. Let -c*u**3 + 1\/4*u**5 + 1\/4*u**4 - 1\/4*u**2 + 0 + 0*u = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 819524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 1476*p**4 - 5*p**2 + 3*p - 351. Let d(s) = 1476*s**4 - 6*s**2 + 4*s - 348. Let n(u) = 4*c(u) - 3*d(u). Differentiate n(r) with respect to r.\nAnswer: 5904*r**3 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 - -4. Let i = -806 + 823.97. Let p = g + i. Is 0.1 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 163*k + 6881. Let u be d(-42). Solve -u*i = -114*i - 316 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/((-10)\/(-21)) + (-284)\/(-355). Suppose -5*g = 2*l, -2*g = -f*g - l + 1. Solve 4*a - g*p = 8, 0 = -4*a + p + 6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, 1 k, and 1 l when four letters picked without replacement from kzulkbbdkbz.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - ((1 - 14) + -11 + 14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, -1\/5, 242, 1\/11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 9*c = -8*c - 4, 4*c - 8 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to 2\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24034.16 millilitres to litres.\nAnswer: 24.03416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/85 (c) 186641\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 30. Let t be i(18). Let h be -8*(-1)\/t*3. Suppose 6*j - 3*j + 5*p - 359 = 0, -3*j + 361 = h*p. List the prime factors of j.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -6, 0.1, 13\/49, -2035, 2\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -350 (c) -915 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -253729 >= -2029825\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3495 take away -110?\nAnswer: 3605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mgm when three letters picked without replacement from mrggggmgxmgmgmrmm.\nAnswer: 49\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 2 = 5*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-231 - -193 - (2 - -2)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -3*o**2\/2 - 2*o + 1. Let f(a) = 25*a + 16. Let j(v) = 6*f(v) + 51*u(v). Differentiate j(p) wrt p.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2658*t + 68773 = -50410 - 93989 + 74956 for t.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 18*n - 201. Let f be y(11). Let g = 0.2 + 0.3. Which is the biggest value? (a) g (b) 42 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279901829 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000195205218 rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 693 + -680. Solve -o*k - k = 42 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21781.\nAnswer: 23, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 6) + -18 - -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -128 + 128. Suppose q = 3*w - 23 - 37. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/8 - ((-85)\/(-20) - 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*v - 25, -2*v + v + 2*p + 14 = 0. Let d = v - 54. What is the common denominator of -13\/8 and (2\/(-6))\/(d\/665)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1066 * 0.2\nAnswer: 213.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17364, 17365, 17366, 17367, 17368, 17369?\nAnswer: 17370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.04694 kilometers to millimeters.\nAnswer: 2046940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -978370, -978320, -978232, -978106, -977942, -977740?\nAnswer: -977500","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 5*r - 4*f, 3*f = 2*r + f + 20. What is the hundreds digit of (r\/4)\/(6\/(-688))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*a**2*z**3 - 2*a**2*z - 59*a**2 + 9*a*z**3 - 3*a*z**2 + z**2 - 3*z wrt z.\nAnswer: 306*a**2*z + 54*a*z - 6*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/6)\/((-13)\/(364\/(-14))).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 514629528.4 to the nearest 1000000.\nAnswer: 515000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202726 (base 8) to base 12.\nAnswer: 3295a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 70?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 379 - 169. Let h = -186 + i. What is the remainder when 621 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*l*o**2*v**2 + 347*l*o**2*v + 19*o**2 + 41*o*v**2 wrt l.\nAnswer: -5*o**2*v**2 + 347*o**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1376215208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*j. Solve j*l = 2*l - 10 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2\/9 - 8089*r\/9 + 32404\/3 = 0?\nAnswer: -8101, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 19466 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -214350 by -3.\nAnswer: 71450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + h + 9 = 0, h + 3 = i + 6. Let c = 1 + 3. What is the smallest value in i, -0.3, -26, c?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -691, -552, -413, -274?\n\"Answer: 139*z - 830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 - (-44 - 29)) + -31?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/2 of a year?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (28 + 31001\/(-1102))*399\/(-294)\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)*u)\/(u\/u**6)*u**(1\/7)\/(u\/u**0)*(u**(-2\/3))**(-17)*u*(u*u*u**3*u)\/u*u*u*u*u**6 assuming u is positive.\nAnswer: u**(667\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -811165 and -811162 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -t - 45, -3*a - 135 = -7*t + 11*t. Let x = t + 40. Solve x*g + 15 = 7*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -108 - -113. Which is the nearest to -1? (a) 132 (b) 0.5 (c) i (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3441757 - 5?\nAnswer: 3441752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4086, 8169, 12252, 16335, 20418?\nAnswer: 24501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -807 + 380. Let d = q + 242. Let i = d - -184.9921. Round i to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-35)*(6960\/72)\/29?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -28 (b) 0.6 (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**3 + 3*n**2 + 2. Let r be q(3). Let w = -180 + r. Round w to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7893260, 15786556, 23679862, 31573184, 39466528?\nAnswer: 47359900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -57499 + 0.089\nAnswer: -57498.911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 - 7. Let t be v(-6). What are the prime factors of (-10 + 6)*t\/(-4)?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 6:25 PM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y - 23*y + 8*y + 8*y.\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u\/((((((u**(-7)\/u)\/u)\/u)\/u)\/u)\/u)))**(-21)*u*u**13*u*u*u**(5\/4) assuming u is positive.\nAnswer: u**(993\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 2*c**2 + 2*c + 3. Let h = 5 + -2. Let r be d(h). Let s be (-21)\/18 + (-2)\/(-4). Is r at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -3 (c) -232 (d) 17 (e) 905\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, x: 2, m: 14}. Give prob of sequence xxlm.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -348, -1, 16, 4, 5.\nAnswer: -348, -1, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8463545.66 rounded to the nearest 10000?\nAnswer: 8460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 0*o**3 - 5 + 5 - 3*o**2 + 5 - o**3. Let z be v(-8). Suppose 262*q = 257*q + z. What is the remainder when q is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -62 by 1387.\nAnswer: -62\/1387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 0 - 3 + 2*v - 5*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 852314 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 59, 15, -13672, -4, -2 in ascending order.\nAnswer: -13672, -4, -3, -2, 2, 15, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2216 - 2048.7. Let s = t - 165. Which is smaller: 0 or s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**3\/7 + 724*h**2\/7 - 4*h\/7 - 724\/7 = 0 for h.\nAnswer: -181, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -16*k + 14. Solve w - 2*z - z = -k, 2*w - 4*z = -4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27573, 55146, 82717, 110286, 137853, 165418?\n\"Answer: -l**2 + 27576*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -0.08674?\nAnswer: 0.38674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 1068071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 986 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (391\/(-46))\/(-17)*-10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1166 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/3 in -3, 0, 0.08?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**5\/20 + 7*b**4\/12 - 3*b**3\/2 - 3*b**2\/2 + 59*b + 2. Is w(-7) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 5:42 PM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*u - 2333, 0*u - 775 = -c + 2*u. Let b be -6*(-2)\/4 + 2. Suppose b*g - c = 28. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l + 6*l - 6*l - 4. Let q be d(-3). Let w(j) = 3*j**3 + 4*j**2 - j - 6. Let r be w(-2). Sort q, r, 3.\nAnswer: r, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -601243 (base 7) to base 2.\nAnswer: -11000101111000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1941 + -58344930\nAnswer: -58346871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((67 - 40) + -39).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 33*c - 26. Let x be l(-17). Let n be 76\/13 - (-5 + 2 - x). What is the third biggest value in -2, 4\/19, n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + -5 + (sqrt(5) + 0 - sqrt(5)) + -3*sqrt(15)\/sqrt(3) - (sqrt(20)*-5 + 0).\nAnswer: -5 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 - -76. Suppose 0 = -a*b + 6*b + 654. What is the remainder when b\/(-8) + 51\/68 is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -29602*c**2. Let q(h) = -238*h. Give n(q(x)).\nAnswer: -1676775688*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x + 4*b - 21380 + 21369, -8*b + 31 = 5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**2 - 9*x - 2. Let a(i) = 5*i**2 + 12*i + 3. Let v(w) = 5*a(w) + 6*n(w). Calculate v(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2*w. Let z(n) = 479*n**2. What is z(d(x))?\nAnswer: 1916*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5200) + sqrt(5200) + sqrt(5200)*-1 + sqrt(5200))*-6)\/(1*sqrt(400)*-2))**2*-4.\nAnswer: -1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 29*r - 5. Let c(k) be the third derivative of -17*k**4\/4 + 3*k**3 - k**2 + 3*k. Let p(u) = 5*c(u) + 18*s(u). Let x(z) = 5*z**2. Determine p(x(f)).\nAnswer: 60*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10 = g - 2*w, 0 = 2*g + 5*w - 23. Suppose -3*a = -4*i + 4, 0 = 5*i - g - 1. Suppose a = -2*c + 179 - 69. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 + 0*i**3 + i**3 + (2*i**2 - 3*i**2 - i**2)*(-2*i + 0*i + i) - 3*i**3 + 0*i**3 + 4*i**3)*(3 - 3 - 6*i).\nAnswer: -30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523 = 518*o - 4139 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, f: 4, p: 4, t: 1}. Give prob of picking 2 o.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 19 and 17993?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39.0038 times 4?\nAnswer: 156.0152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*r + 106*r = -24. Suppose -4*w = v + 5, 0 - r = 3*w + 5*v. Let z(t) = -4*t**2 + 2*t + 1. What is z(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258683?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.5837 to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 101075229?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11474 + -2023?\nAnswer: 8451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 4*q + q)*(-2 - 1 + 5).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3796039?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228168.\nAnswer: 2, 153521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 PM and 7:21 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7510525 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 12*x**2 - 3*x + 8. Let i(k) = -25*k**2 + 7*k - 16. Suppose 5*u - 15 + 0 = 0. Let q(t) = u*i(t) + 7*a(t). Find the first derivative of q(v) wrt v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11896 rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 12 - 363 = 5*i - 37, j = 3*i + 202 for i.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 85\/(-119)*(-5)\/((-4)\/((-28)\/(-1))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 8, t: 8, u: 1}. What is prob of picking 2 c and 1 u?\nAnswer: 7\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/17 + 5430*s\/17 + 5432\/17.\nAnswer: -2*(s - 2716)*(s + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 10)*(-5 + 5 + 3)*(-r - r - 4 + 3).\nAnswer: -66*r - 33","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 125999675 to the nearest integer?\nAnswer: 11225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -30. Let a be 4\/(-36)*-1*w. Factor 1\/3 + 2\/3*d + a*d**2.\nAnswer: (d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 9*y + 4 + 5 - 6.\nAnswer: 8*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 1. Let k be z(-4). Let j(m) = -m**2 + 4*m + 6. Let l be j(k). Solve -a - 1 - l = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 + -6)*2\/4*29. List the prime factors of (38 + -40)*1*z\/2.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13386343 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-14))**47 assuming z is positive.\nAnswer: z**(-658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (5 - (8 + 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 2. Let d be x(0). Suppose 6*u + 288 = -2*u. Which is the nearest to u? (a) 1 (b) d (c) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(-297)*-4*5\/70.\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 7*y - 7. Let u be a(-3). Let x(j) = -j**3 + 5*j**2 + 2*j + 2. Give x(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 62258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**4\/12 - 4*z**3\/3 + 9*z**2\/2 + 3*z. Let j be s(-9). Suppose 0 = -3*y + 159 - j. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 divided by -3.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/5885 and 5\/856.\nAnswer: 47080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 35224494*o**2. Let u(p) = 3*p**2. Calculate u(m(n)).\nAnswer: 3722294932668108*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*1 + (5 - 2). What is the derivative of 3*v - c - 3*v + 3*v + 5 wrt v?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 PM and 4:50 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w. Let g(d) be the first derivative of -4*d**2 + 0*d**2 + 2*d**2 + 0*d**2 - 1. Give g(c(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.9947 to one dp.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 8, z: 2, f: 8}. Give prob of picking 1 z and 1 g.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6675392490?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -31698921558.2 and 72.\nAnswer: -31698921486.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 58*k - 17 = -61*k, 0 = -5*p + 3*k + 49. Let i(q) be the second derivative of 0 - p*q + 8*q**2 + 0*q**3 - 1\/3*q**4. Factor i(h).\nAnswer: -4*(h - 2)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -32 + 32 - 6*p. Let l(j) = 5*j**2. Give l(i(d)).\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34591079 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**3 + 27*c**2 - 43*c**2 - 60*c**2 - 19*c**2 to the form l*c**3 + p*c + r*c**2 + f and give r.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 42\/28 - (-4)\/(-2). Let i = 308.4 + -316. Which is the third smallest value? (a) 1 (b) i (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/((-4)\/6*3). Let v(z) = -z**2 - 12*z - 30. Let a be v(-7). Suppose w = a*x - 14 - 11. Let i(j) = -j + 2. Determine i(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45638 is divided by 8840.\nAnswer: 1438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -165143\/14 + 11790. What is the common denominator of (166\/(-48))\/((-3)\/(-6)) and t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 220922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Let y be -3 + 1 + 0\/3. Let j be h - (y\/4 - -2). Which is the second biggest value? (a) j (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -66083, -0.02, 0.5 in descending order.\nAnswer: 0.5, -0.02, -66083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 8*t - 10*t. Calculate the highest common factor of t and 60.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9527?\nAnswer: 7, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -1) + 20 - (3 + 2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2192467561 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4992347 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 18, 5*w + 24 = 9*w + 2*m. Solve 2*s + w*s - 2*p - 5 = 0, -5*p - 24 = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the second derivative of p**5\/100 + p**4\/8 - 38*p**2 + 32*p - 1. Let t(h) be the first derivative of k(h). Factor t(v).\nAnswer: 3*v*(v + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-31 - 21\/7) + 3\/(-1). Let i(n) = n**3 + 44*n**2 + 35*n + 81. Is i(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suv when three letters picked without replacement from svfvfyuu?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*l - 12717, -3*c - 15 = -8*c. Suppose -12*p - l = -4*p. Let y = p + 647. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*y = -63*y + 8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/41 and -31\/14214.\nAnswer: 582774","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 249013 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*m - 2*x + 39, 1 = m - 3*x. Suppose -m*y + 15*y + 254 = -3*j, 2*y - j = -95. Do y and -48 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8*n - 110 = 9*n, 17 = b + 5*n. Solve 3*c - 15 = -b for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1603.19628 plus 114?\nAnswer: -1489.19628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 8*f. Suppose 0 = -5*q + 5, 3*u + 3*q = -u + 35. Let b be r(u). Suppose b = 3*x - 4 + 7, -x = -3*t + 16. Solve t = 2*j - 5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/48 and -143\/149232.\nAnswer: 149232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 231, 1018, 2339, 4200, 6607, 9566, 13083, 17164?\n\"Answer: o**3 + 261*o**2 - 3*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 23*o - 96. Let a be l(4). What are the prime factors of ((-1)\/a)\/((-11)\/(-49544))?\nAnswer: 2, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -17, 19, -3, -11058, 5, -1 in descending order.\nAnswer: 19, 5, -1, -2, -3, -17, -11058","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/7 - 9\/7*s - 3\/7*s**2.\nAnswer: -3*(s + 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 956 divide 173928904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/5 (b) 2 (c) 5488 (d) -2.7 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 45927?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 0, -6, -4, -2, -129 in ascending order.\nAnswer: -129, -6, -4, -2, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 i, and 2 p when four letters picked without replacement from ipinipbiniiipn?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(6\/3) + (-14 - -19). Suppose -25 = -4*i - y, 3*i - 5*y + 20 = 2*i. Which is smaller: i or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 984 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 8*f**3 + 20*f**2 + 31*f + 13. Let k(s) = 18*s**3 + 39*s**2 + 62*s + 27. Let x(w) = -3*k(w) + 7*y(w). Determine r so that x(r) = 0.\nAnswer: -10, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1574.98 times -0.1\nAnswer: 157.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 156 - 180 - 202)*(4 - 4 + 2*f).\nAnswer: -4*f**2 - 1076*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62284 is divided by 6060.\nAnswer: 1684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 327007?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 16) to base 10.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -5*w**2 - 13*w - 7. Let x(b) = -4*b**2 - 12*b - 7. Let a(n) = 5*r(n) - 6*x(n). What is a(8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -0*z - s - 3, 5*s - 13 = z. Suppose -28 = -2*u - z*u. Suppose -l + u = -0. Which is bigger: l or 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40670\/35 + 5*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -370.104 + 370. Let d = -122.304 + 117. Let h = v - d. Is 1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 4*v**3 - 4*v**2 + 283. Let l(y) = 4*y**3 - 3*y**2 + 283. Determine -3*h(o) + 4*l(o).\nAnswer: 4*o**3 + 283","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + -4 + -5*(-2 + sqrt(891)*2 - (3 + 1 + sqrt(891))))**2.\nAnswer: -1980*sqrt(11) + 22756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s - s + 2*s + (-1 - 2*s + 1)*(-1 + 2 - 3))*(3*s - 4*s + 5*s).\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517*o - 7161 = 300*o for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*s = g - 2, g + s - 8 = 0. Suppose 0 = -d + g*d + 120. Let w be (-1 - d\/9)*-3. Which is the closest to 0? (a) w (b) -1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -656 divided by 5\nAnswer: -656\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135757887 to the power of 1\/3, to the nearest integer?\nAnswer: 514","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.8? (a) -4 (b) -3 (c) 34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 328.5 + -328. Which is the nearest to 2? (a) h (b) 0.01 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33147*m**6 + 20*m**2 - 5*m - 3 wrt m.\nAnswer: 3977640*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 12, z: 1}. Give prob of picking 3 z.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/7, 0.5, 7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-766)\/18 - (-416)\/(-288)?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1057*a**3 - 81*a**2 + 38*a**2 + 4*a + 34*a**2 - 2 + 3.\nAnswer: -1057*a**3 - 9*a**2 + 4*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of o**5\/20 + o**4\/2 + o**3 + o**2 + 2*o. What is the units digit of k(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 10 (c) -1136\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1573) + 1)*-1)**2.\nAnswer: -66*sqrt(13) + 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1148)\/328)\/(2\/(-2))?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/56)\/((12 + 3003\/(-252))*(-3 - -1))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.312 + -0.688. What is the third smallest value in p, 0.1, -124?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 50.54 - 50.5. Sort 0, -2\/39, f in increasing order.\nAnswer: -2\/39, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2448 - 2443.983. Let i = -25.017 - -25. Let x = i + m. What is the second biggest value in 0.2, x, -3\/19?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g*g*g\/(g**(1\/8)\/g*g)*g)\/g)*g)**44*(g**(-5)*g)\/((g**(-8)*g*g)\/g))**36 assuming g is positive.\nAnswer: g**(-1278)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + -2. Let y be (2 - (-10)\/f)*-6. Suppose u = 5*u + y. Let i(w) = w**2 + 4*w. Determine i(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 + 11?\nAnswer: 101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, r: 6}. Give prob of sequence rbb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222 (base 8) to base 7.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, i: 2, e: 1, y: 2, u: 2}. Give prob of sequence ye.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3 - 8*p + 3*p - 1 - p**2. Let u(c) = -c**2 - c - 1. Let r(v) = -4*u(v) + z(v). Determine r(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 4:16 AM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**2 + 13*b + 3. Suppose 62*t = 59*t + 6. Let j(c) = 4*c + 1. Calculate t*a(d) - 7*j(d).\nAnswer: 2*d**2 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2def48 (base 16) to base 3\nAnswer: 12122221110102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -f**6\/39 + 16*f**5\/65 - 21*f**4\/26 + 28*f**3\/39 + 20*f**2\/13 - 48*f\/13 + 232. Let v(t) = 0. What is t?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(11) + 5 + sqrt(11)*3)**2.\nAnswer: 240*sqrt(11) + 1206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113823, 455405, 1024651, 1821513, 2845943, 4097893, 5577315?\nAnswer: 7284161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7 + 44*q**3 + 49 - q**2 + 8*q - 6302*q**6 + 73*q**3 - 117*q**3 wrt q.\nAnswer: -756240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, p: 2, d: 1, c: 1, n: 3}. What is prob of picking 2 p and 2 k?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.15, -4, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1573) + -2 + sqrt(1573))**2 - sqrt(1573) - (sqrt(1573) - -4*(-3*sqrt(1573))**2).\nAnswer: -50336 - 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of w**7\/105 + w**5\/20 - 3*w**2\/2 + 2. Let f(n) be the second derivative of z(n). Find the third derivative of f(t) wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of -5*w**2\/2 - 2*w + 31. Let x be v(-1). Let k(c) = 2*c - 5*c + 2*c - 5 + x*c. Give k(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 12 + 5)*(-4*k + 0*k - k)*(2*k - 4*k + k) in the form l*k + j + i*k**2 and give i.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 101564344 to the nearest integer?\nAnswer: 10078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8413105 is divided by 6132.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1522181 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -70*w**2 - 21*w - 2. Let o(y) = -209*y**2 - 59*y - 6. Let i(q) = 17*l(q) - 6*o(q). Is 6 a factor of i(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 3:57 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from voiqvvqqqvoqqqvq. What is prob of picking 1 o and 1 i?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 1)\/(-2)*-5. Let p = 56 - 27. Let s(t) = 10*t + 62. Let o be s(-6). Solve -x + 19 = -d + o*x, d - b*x + p = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.011512cm to millimeters.\nAnswer: 90.11512","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -19, -86 in decreasing order.\nAnswer: 4, -19, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + b**2 + 4*b - 2. Let k be h(5). Let t = 98 - k. Is 20 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6374116 to 3 dps.\nAnswer: 0.637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and 2397545?\nAnswer: 26372995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 - 26 - 27 + 29*k + 12.\nAnswer: 29*k - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -3*q**2 - 14*q - 10. Let r be a(-5). Let x be (-8)\/(-20) - 114\/r. Let f(j) = j**2 - 7*j - 2. Give f(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 11, -2 in increasing order.\nAnswer: -4, -2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/25 of a millennium?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -245.6 + 73.4. Let y = i + 172. Does y = -44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -39262, -39260, -39256, -39250, -39242, -39232?\n\"Answer: w**2 - w - 39262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -136*r**2 + r. Let q(c) be the third derivative of -c**4\/24 + 214*c**2. Determine k(q(a)).\nAnswer: -136*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538.\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2.8, -2 in descending order.\nAnswer: 3, -2, -2.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 64 = -76. Suppose -4*s - l = -13, -y = -10*l + 8*l. Solve s*n + 20 = -3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250273, 250191, 250103, 250003, 249885?\nAnswer: 249743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 5*g = 29, 12*c - 3*g + 20 = 17*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1053*a**2 - 2108*a**2 + 3*a - 3*a + 1050*a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**2 + 258903410*q - 3351548785481405 = 0. Calculate q.\nAnswer: 25890341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -92532633.\nAnswer: -370130532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014484 to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1960\/89 + -22. Let k = 259\/356 + t. Which is the closest to 1? (a) 4 (b) -2\/9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 384 and -15748.\nAnswer: -15364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*m + 42. Suppose -p + 3 = -m. Let b(l) = -l**3 + 11*l**2 - 68*l + 328. Calculate the remainder when b(7) is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/(-9))\/((-2)\/(-3)). Let n(r) = 2*r + 0 + f - 1. Let v(l) = 12*l + 5. Let y(a) = -133*a - 56. Let t(g) = -56*v(g) - 5*y(g). Calculate t(n(o)).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 17*m**7\/5040 + m**6\/24 - m**5\/30 + m**4\/6 - 19*m**2. Let n(j) be the third derivative of q(j). Is n(19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10359992 = -4*t, 12*n + 4*t = 17*n - 12949992. What is n rounded to the nearest one hundred thousand?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -8. Let p = -0.322 + 14.322. Let i = p - s. What is the third biggest value in -0.3, i, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3639, -14566, -32769, -58242, -90979?\n\"Answer: o**3 - 3644*o**2 - 2*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77, -23, -157, -325, -527, -763?\nAnswer: -1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6280*x + 3330*x - 13281*x)*(-4*x + 3*x + 4*x) to the form u + r*x**2 + i*x and give r.\nAnswer: -48693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 6. Let k be t(9). Let a(l) = 2 - k*l + 1 - 7 - l**2 - 6*l. What is the tens digit of a(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1118*o + 5*o**2 + 0*o**2 + 5579*o - 2207*o - 1127*o - 1127*o - 4*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, a: 3, l: 1, b: 5}. Give prob of picking 1 b and 1 a.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21163949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**3\/2 + 11093*p**2 - 3720357*p\/2 - 5680386 = 0.\nAnswer: -3, 172, 22017","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**4 + 3*i**4 - 2*i**4 + (-3*i + 3*i + i**3)*(0 - 2*i + 0).\nAnswer: -3*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 - 45. Let i(m) = m + 40. Let w be i(4). Calculate the highest common factor of t and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2160\/1200)\/(3\/10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 3474\/13, 52 in descending order.\nAnswer: 3474\/13, 52, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p + 141 - 180. Solve 5*b + v = 18, -3*b + 2*v = -p*v + 6 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h**3 - 7*h**3 + 5*h**3.\nAnswer: -24*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 2, -0.3, 13.5, -2\/19?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -94*l**3 + 94*l**3 - 494*l**4 - 4*l**4 + 4*l**4 + l**4 + (-2*l**2 - 2*l + 2*l)*(-3*l**2 + 2*l**2 + 0*l**2).\nAnswer: -491*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3688448?\nAnswer: 2, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t - 20. Let r(n) = -10*n - 19. Let y(c) = -5*r(c) + 6*x(c). Differentiate y(i) with respect to i.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*o**3 + 11*o**3 - 16*o**3.\nAnswer: -27*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0431927mm to nanometers.\nAnswer: 43192.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 937 and 2562 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 217*s + 2*x = 214*s + 23, 5*s - 28 = 7*x for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 6:49 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (28*(-60)\/40)\/(2\/1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 8:08 PM?\nAnswer: 12:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 175*k**3 - 11*k**2 - 4*k + 36. Let c be m(-15). Let u = c - -377415. Let w = u - 117411. What is w rounded to the nearest ten thousand?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*h - 420 = -196*h. Suppose 4*m + h = 368. What is the remainder when m is divided by 6\/4 - (-117)\/6?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from igiiig. What is prob of sequence iii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of d**3\/3 - 265*d**2\/2 + 3*d - 1485. Let w(u) = 3*u**2. What is s(w(j))?\nAnswer: 6*j**2 - 265","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 74 = 2*t, -3*j - 60 + 14 = -t. What is the remainder when (740\/t)\/((-2)\/(-4)) is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3772260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -52.1 (b) -34 (c) 286\/9 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-174)\/(-36) + (-2)\/(-12). Suppose 5*b + 75 = 2*x, 2*b = -2*x + m*b + 77. Suppose -x = 4*l - 128. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -386*b**2 - 94582*b - 2958. Determine k(-245).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*k + (0*k + 3*k - 4*k)*(4 - 1 - 4) + 2*k - k + k + (1 + 0 - 2)*(-4*k + 4*k + k) + 2*k + 9*k - 3*k)*(2 + 2 - 5)*(-2 + 5 - 1).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(1\/(-1)) - -2. Let g(h) = -h**2 - 20*h + 141. Let o be g(5). Solve 5*z = 20, -l*z + o = 2*k - 6*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 1179.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34607661?\nAnswer: 3, 11, 1048717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 1. Determine q(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*d**3*j*k + 4*d**3*j - 7*d**3*k - 2*d**2*j*k - d**2 - 106*j wrt k?\nAnswer: 23*d**3*j - 7*d**3 - 2*d**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 12*t**2 + 10*t - 128. Let c be x(13). Suppose -1282 = -4*a + c. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102262615 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: Calculate the least common multiple of 9369 and 250020.\nAnswer: 86756940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/(-9) + (6 - (-104)\/(-18))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*l - 8 = l, -5*l + 42 = 2*r. Let p be ((-3)\/(-12))\/(14\/r). Let j be -1*2 + (-9)\/(-6). Which is the second biggest value? (a) p (b) 1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -3)*-2 + -1 + 15. Calculate the highest common factor of 42 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, b: 1, d: 3, t: 2, c: 9, q: 1}. Give prob of picking 3 c.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5840 and 5840?\nAnswer: 5840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 239 a factor of 92704037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - 31) + 29 - -2?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a - 0*a + 45. Solve 190*z**3 + 96*z - 194*z**3 - a*z**2 - 3*z**2 = 0.\nAnswer: -6, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -160 (base 16) to base 6\nAnswer: -1344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 34047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 28*t - 234. What is the tens digit of (-4 - t) + (-1 - -2*71)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 times -160823\nAnswer: 22515.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -5856895783 to the nearest one million.\nAnswer: -5857000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 53\/255590?\nAnswer: 53\/255590","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3 + 4*j + 27*j**3 - 25*j**3 to i*j**3 + v*j + m + f*j**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*((-2)\/(-8))\/((-3)\/(-156)). Is 9 less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -18072557.\nAnswer: 39\/18072557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.42 - 11.42. Let f = u - -12. Let o be 4\/(-3) + (-1)\/(-3). What is the third biggest value in f, -3\/13, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 22.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2. Let k(g) be the second derivative of 0*g**2 - 3*g + 0 + 1\/12*g**4 + 0*g**3. Calculate s(k(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.95 - -0.05. Let m = k + -5.8. Let f be (-1)\/4*16\/(-18). What is the second smallest value in m, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6579*o = -z - 6582*o + 14, 4*z - 20 = -3*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -9*x + 32. What is j(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 - 11301*d - 45156.\nAnswer: -3*(d + 4)*(d + 3763)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 12 = -3*i. Let l(o) = -3*o - 8. What is the remainder when 11 is divided by l(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1 - -16 - -1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-240)*4*6\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 4:54 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2336374787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -6*m - 2 + 84*m**2 + 4 + 505*m**2. Let i be v(2). Find the third derivative of 2346*c**3 - i*c**3 - 9*c**4 + 10*c**2 wrt c.\nAnswer: -216*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Suppose 4*w = 3*j + 21, 2*w - 3*j - 7 = 8. Differentiate -2 + 4*h**r - 2*h**2 + w wrt h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 - 12*u**2 - 2*u - 8. Let z be (-3)\/2 - (-58)\/(-4). Let q = 4 + z. What is the tens digit of l(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -23\/12626958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 167*a**2 - 3694*a - 710. Determine x(-26).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q + 20. Let p be j(-6). Let h(l) = -2*l + 1. Let y(c) = c - 1. Let d(g) = 3*h(g) + 2*y(g). List the prime factors of d(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 5)*(c + 4 - 4)*(0*c**3 + 4*c**3 + c**3)*(-1196 + 2350 - 1176 - 3*c).\nAnswer: 90*c**5 + 660*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = l. Let q = l - 0. Solve -5 = 2*c - 7*c + 3*b, -q*b = -2*c + 2 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4081362983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-44)\/55)\/((-4)\/1130). Let c = p - 134. Let d = c + 39. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -45*j + 1069. Give m(24).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 272.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 3*y + 4. Let t be s(-4). Let f(c) = 15 - c - c**2 + c + t*c**2. Is f(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709680 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137.9 - 151. Let a = k + 2.1. Let g = a + 11.000036. Round g to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 - 335 = 65*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, y: 1, f: 1, b: 3, w: 3, s: 2}. Give prob of picking 1 w, 1 y, 1 b, and 1 f.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3296 - 3297. Let y(o) = 2*o - 2. Let x(j) = -1. What is c*y(p) - x(p)?\nAnswer: -2*p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-108)*3*(27\/81)\/(32\/126)?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5 + 2*(1 + sqrt(192) + sqrt(192) + sqrt(192))**2*6)*-6 + -4)*-1.\nAnswer: -124522 - 3456*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227950, -455899, -683848, -911797, -1139746?\nAnswer: -1367695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 + 2 + 3*y**2 + 27.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28394, -55443, -82434, -109373, -136266, -163119, -189938, -216729?\nAnswer: -243498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 92.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -55 - -58. Let a = 0 + -10. Let c = a + 9. Sort c, -1\/2, w in descending order.\nAnswer: w, -1\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 261 - 258. Sort z, -3, -5, -17 in descending order.\nAnswer: z, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*b**3 + b**2 - 74*b - 2222 wrt b.\nAnswer: -84*b**2 + 2*b - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/8, 6, 1\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(-1\/2))\/n)\/(n\/n**(1\/8)*n))\/(n\/n**(2\/3))**(-2\/143))\/((n\/n**(-2))**(-3\/4)\/(n\/(n\/(n*n\/(n\/(n\/n**(1\/10)*n))))*n*n**6*n)) assuming n is positive.\nAnswer: n**(202139\/17160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8652.\nAnswer: 2, 3, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, 6, -0.06, -1, 4, 3, 1 in ascending order.\nAnswer: -1, -2\/21, -0.06, 1, 3, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (-14)\/2*1\/2. Which is the third smallest value? (a) -34 (b) -5\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 7*q - 13. Let d be k(2). Let i(s) = 11*s + 4. Let f(h) = -16*h - 6. What is d*f(g) + 8*i(g)?\nAnswer: 8*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uiuz when four letters picked without replacement from xzxzaiuuiuuuui.\nAnswer: 15\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*l**6 - 3*l**2 - 30*l**6 + 6*l**2 wrt l.\nAnswer: 3360*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 165 - -7692?\nAnswer: 7837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 469150 + -77?\nAnswer: 4690d9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4 + 4. Suppose -z - 2 = -a - 1, 4*z + 10 = -2*a. Let x be 2*(-5)\/4*2. Sort q, x, a.\nAnswer: x, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*z - 2*u - 6 = 0, 2*u + 6 = -4*z. Let j(h) = h - 13. Calculate j(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d - 717445 = 907555. What is d rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 627, 39, -0.1, -0.01, 4?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**1\/b))\/b)**(-39)*((b**(5\/6)\/b)\/b*b)\/(b\/b**(-2\/3)*b) assuming b is positive.\nAnswer: b**(-251\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of -f**6\/360 + f**5\/24 - f**4\/24 + 5*f**3\/3 + f**2. Let r(q) be the first derivative of k(q). Determine r(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h - 2*h + 6*h + (2 - 4 - 2)*(-h + 1 - 1) + (5 + 0 - 3)*(208*h - 245*h - 153*h).\nAnswer: -373*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (3 - 6 - 3 - (11 + -4))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 184417\/26 + -7091. Find the common denominator of c and -33\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 10:56 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -9. What is the units digit of ((-4)\/6)\/l*-21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 4*t**2. Let z(y) = 19*y + y**2 - 2 - 19*y. Let p(s) = -3*s**2 + 5. Let j(r) = -2*p(r) - 5*z(r). Calculate o(j(b)).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 57*k - 7. Let y be x(1). Let r = y - 40. What is the remainder when r is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4362 is divided by 335?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 3 + 1\/3*s**3 + 1\/1800*s**6 + 0*s**4 + 0*s**2 - 1\/300*s**5 + 0*s. Let m(t) be the third derivative of l(t). Factor m(d).\nAnswer: d*(d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1024 divide 266315776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5b606 + 5?\nAnswer: -5b601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 12 = 2. Suppose -3*l + 3*n = -15, -l = s*l + 5*n - 31. Let i(b) = 9*b + 2. What is the units digit of i(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n - 3. Let c(s) = -16*s + 16. Let z(d) = 3*d - 3. Let t(m) = 2*c(m) + 11*z(m). Give -2*a(y) + 5*t(y).\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s. Let g(m) = 12*m + 6 - 12 + 6. Suppose 0 = 5*z - 7*z + 28. Suppose -5*d + z = -w, d + 3*d = 8. Give w*g(k) - 15*h(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*q - 85 + 1 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 13 = 22. Solve r*q + a + 7 = 0, 0 = -q - 0*a + 3*a + 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 181?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -281, -2327, -7901, -18773, -36713?\n\"Answer: -295*k**3 + 6*k**2 + k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-9)\/(-1) - (-126630)\/134?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 - 58. Suppose 3*l - v = -l. Suppose -18 = -l*f + 10. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 257\/(-11) - 22416\/(-61644).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 4.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9c20d - 0?\nAnswer: -9c20d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 22561*b + 90243. What is r(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 111717679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -16\/3*m**2 - 10\/3*m**4 - 20*m + 5\/3*m**5 + 0 - 8*m**3. Factor w(p).\nAnswer: 4*(p - 2)*(5*p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -1 - 3*a + 2 + 0*a. Suppose 2 + 2 = 4*n. Give r(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x. Let m(o) = -27*o. Give m(r) - 6*t(r).\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9863 - 9862.8. What is the second smallest value in a, -0.4, -2\/169?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003427929604 rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 29. Suppose 3 + 1 = -2*r. Let t be ((-6)\/(-9))\/(r\/v). Solve -b - 2 = -3*d + 1, -3*b + t = 4*d for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - 51933b0?\nAnswer: -51933ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4628\/4272 - (7\/20 - (-3)\/(-5)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3223301202 (base 5) to base 15\nAnswer: 90591c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 3 - (-21 + 23). Let m be (-130)\/(-182) - t\/(-7). Put m, -1, 3 in decreasing order.\nAnswer: 3, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 15 = -5*c + 3, -c + 8 = 4*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 32858 = 2018. Let m = i - 69457\/9. What is the common denominator of (-116)\/572 - 4\/22 and m?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Subtract 4032 from -4108.\nAnswer: -8140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 22784.5 rounded to the nearest one hundred?\nAnswer: 22800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1104 by -6832.\nAnswer: 69\/427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58948475*x**6 + 25269*x**2 + 272*x wrt x.\nAnswer: 7073817000*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + -3 - (-1 + -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6))\/(-1 + (-1420)\/(-1428)). Let p = z + -116. Let l be -1*3*(-12)\/9. Solve -l*r + 5*r - p = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1) + 6\/(-1). Let f(b) = b + 9. Let z be f(v). Let n(r) = -4*r + 2*r - 3*r + 7 - r**z. What is n(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 785519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/10 + (-5859)\/(-15). Let b = -359 + d. What is the remainder when 89 is divided by b?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2142 + 2140. What is the smallest value in h, -25, -1\/5?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57118383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.71 - -0.29. What is the nearest to s in -1, -2\/9, 4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1452*m + 4 - 6 - 1451*m + 2.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1 + (-2 - 2 + 6)*(1 - 2 - 1))*(3*w - w + 0*w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*m**3 + 46*m**3 + 22*m**3.\nAnswer: 80*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*h = -80*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 193\/5 - -917\/30. Let i = s + -69. Suppose -4 = 3*t - g, 13*g + 13 = 4*t + 8*g. Which is the third smallest value? (a) t (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**2 + 82*b - 315. What is p(4)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -202023320 (base 4) in base 12?\nAnswer: -69048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c**3 + 4*c**3 + c**3 + (0 + 3*c**2 + 0)*(64 - 64 + 122*c) - 2*c + 2*c + 2*c**3.\nAnswer: 369*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:56 AM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 18 = -2*y, 5*y - 218369*h + 35 = -218374*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from {z: 3, l: 7, t: 4}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3 - 1. Let p(m) = 437*m - 62051. Let g be p(142). Solve g*z + f*z + 20 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 29\/2 + (-21)\/6 + 3. Solve -o*h = -22*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**2 + 12*a + 19. Suppose c + 23 = 29, -k - 4*c = -19. Calculate u(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/9 - 17*g**2\/9 + 10*g\/3.\nAnswer: g*(g - 15)*(g - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -11740 to the nearest one hundred.\nAnswer: -11700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*s + 77 = -4*s. Suppose 10000 = -s*l + 27*l. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 72215.64 grams?\nAnswer: 72215640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z**3 - 2*z - 179 + 180 + 8*z**2 + z**3 in the form q*z**2 + f*z**3 + i*z + n and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 1571928?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 99*l**2 + 22*l + 22. Let y(k) = -22*k**2 - 5*k - 5. Calculate 5*q(w) + 22*y(w).\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 11:56 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 1\/14 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ooonoooomm.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 5 = -2. Suppose 14525 = 148*s + 17189. Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 6:03 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001420843647 to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-8)*k\/(k\/(k\/k**(-16))))**(4\/15))**(-42) assuming k is positive.\nAnswer: k**(-504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -138, 1, 25, 3, -4 in decreasing order.\nAnswer: 25, 3, 1, -1, -4, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - -9)*(-186)\/(-171) + -6. Solve -8\/19 - i*g - 2\/19*g**2 = 0 for g.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 - 10*n**2 + 7*n - 2. Let d be s(9). Let o = -7 - d. Let b = o - 9. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 800 - 799. What is the closest to 6 in 6, z, 0.3, -2\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(140)\/(2*sqrt(5))*-3 + -4)*-3)**2*4.\nAnswer: -4320*sqrt(7) + 57276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 196429400 rounded to the nearest one hundred thousand?\nAnswer: 196400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 19620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 373*k - 45798 = -58*k - 916*k for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.21 - -7. Let z = -0.01 - q. Let y = -0.1 + z. What is the nearest to y in 1\/5, 5, -2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) + sqrt(144) + -1*sqrt(144) + sqrt(144) - sqrt(144))*-3)\/((sqrt(108) + (-2*sqrt(108) - sqrt(108)) - sqrt(108))*-5))**2.\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*m**2 + 5818193*m + 44737135 wrt m.\nAnswer: 16*m + 5818193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -10*i**3 - 10*i**2 + 14*i + 113. Is u(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 342 and 6.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*k**2 + 5*k**2 + 0*k**2 - 9*k - 4*k**2 + 9*k + 5*k**2 - 7*k**2 + 6*k**2 + (3 + 2 - 7)*(-2*k**2 - k**2 + 2*k**2) - 4*k**2 + 5*k**2 + 0*k**2.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1. Let p(l) be the first derivative of -l**3\/6 - 6*l**2 + 4*l - 1. Let q(h) be the first derivative of p(h). Determine 22*o(z) - 2*q(z).\nAnswer: 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*t - 549 = 15*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -439, 0, 5, -9, 0.5 in descending order.\nAnswer: 5, 0.5, 0, -9, -439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 3260243, 3260241, 3260237, 3260231, 3260223, 3260213?\n\"Answer: -s**2 + s + 3260243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 a factor of 1051502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**2 + 8*c - 10. Let i be p(-8). Suppose -5*l + 243 = 4*q, -2*q = 3*l - i + 35. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 50 = -89 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 22 - 1554 = 0. What are the prime factors of c?\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(5 + ((sqrt(8)\/sqrt(100))**2 - sqrt(2))) - ((sqrt(1200)\/sqrt(6) - sqrt(8)) + sqrt(8))\/(sqrt(256)*-2 - sqrt(256) - sqrt(256) - sqrt(4)).\nAnswer: -254\/25 + 71*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*j**3 + 53*j - 8*j**3 - 53*j.\nAnswer: -170*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 = 1411*n - 1425*n for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12 = -2*j, 2*n - 3 = 2*j + n. Let p = 0.06 + 0.04. Let l = p - 0.2. What is the closest to l in j, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*u + 1265 - 2840 = 0 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7752 and 2449836?\nAnswer: 93093768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*h + 4*h + 3*c + 14, -h = -c - 4. Suppose -h*d - 57 + 169 = 0. What is the remainder when d is divided by 1*28 + (-1 - -3)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/1287 and -49\/5473?\nAnswer: 541827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zv when two letters picked without replacement from zvzzzppvzzpvpvpzppvp.\nAnswer: 7\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -13. Let f(r) = 1 - r + 1 + 0 + 5. Let k be f(4). Solve z = k*b + 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/351 and -151\/18.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -24bbb - 15?\nAnswer: -25014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 267 = 3*u, -2*i = -u - 53 - 45. Suppose 0 = 4*a - 3*d - 71, -2*d = 4*a - 3*a - 15. What is the highest common divisor of i and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-540)\/(-54) + -17 + 3. Which is the fourth biggest value? (a) l (b) 0.8 (c) -1 (d) 55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 435336616 and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.9 + -6.9. Let o = 1 + 0. Let z be 12\/(-34)*o\/(-3). Put z, 4, y in descending order.\nAnswer: 4, z, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34259 divided by 6.\nAnswer: -34259\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 3*p**2 + 5178*p + 10353. Calculate t(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (2*(sqrt(1331) + 1) - (2 + sqrt(1331))*-3))**2.\nAnswer: 770*sqrt(11) + 33324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - y + 0*y)*(22 - 66 - 36 - 111).\nAnswer: 382*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -214 + -3?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 10\/73, 254, 5 in descending order.\nAnswer: 254, 5, 2\/7, 10\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 27*l**2 - 2092*l**3 - 42*l**2 + l - 259*l**3 + 15*l**2 + 11239 with respect to l.\nAnswer: -7053*l**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -15*j**2 - 3*j. Let p(a) = -23*a. Determine z(p(x)).\nAnswer: -7935*x**2 + 69*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 5*b**2 - 3*b - 14. Let v be n(-5). Put -0.2, v, 4\/7, 4 in ascending order.\nAnswer: -0.2, 4\/7, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 42518336?\nAnswer: 42518335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.01 - 1.99. Let z = 2.1 + h. Suppose 0 = -3*c - 2*c - 5. What is the nearest to z in 1\/6, c, -0.3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*1\/((-1)\/(-3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/1*(20 - 17). What is the fourth biggest value in -1\/6, 0.4, 2\/7, a?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 6) to base 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1314 is divided by 22.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 1534 + 276. Which is bigger: 180 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -7. Let u(x) = 3*x - 3*x + z*x + 2*x. Let t(q) = 3*q + 3. Let b(g) = -g**2 + 8*g + 8. Let s(k) = 3*b(k) - 8*t(k). What is s(u(v))?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-16)\/(-40))\/(1\/10). List the prime factors of 0 + 18 + k\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15.5 and -10.\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-20)\/(-16))\/5)\/((-134)\/10184).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 2241*v**2\/2 + 128169*v\/2.\nAnswer: 3*v*(v - 303)*(2*v - 141)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11978 and 791?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -20*u - 11*u + 32*u + 3. Give n(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468631.\nAnswer: 211, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 18, -1, 3 in decreasing order.\nAnswer: 18, 3, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n. Let g(y) be the first derivative of -3*y**3 + 3*y + 27. Calculate g(x(r)).\nAnswer: -36*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 51*z**3 + z**2 - 14*z - 1. What is i(2)?\nAnswer: 383","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4080\/1575 + 8 + 2900\/(-375).\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18596 and 256.\nAnswer: 1190144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**5\/90 + 17*d**4\/54 + 16*d**3\/27 + 74*d. Let n(u) = 0. What is u?\nAnswer: -16, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -226 or -9.086?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6\/12*-6*(1 + 0)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - -1. Let d = 85.5 + -86. Let o = d - j. Which is the third biggest value? (a) o (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 973 less than -0.5?\nAnswer: -973.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 - w + 11. Let c be r(0). Let z be 7\/(-2*(-3)\/(-6)). Let y = c + z. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-20)*(129\/1161 + 220\/(-1305)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.65 (b) 16\/3 (c) -3\/2 (d) 5\/4 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(540\/(-12) + 20 + -17)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14206*k**3 + 28394*k**3 - 14191*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -24*b**3 - 10*b**2 - 44*b - 4. What is i(-3)?\nAnswer: 686","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + h**2 - 6*h**2 - h + 3*h**2 to the form y*h**2 + z + c*h and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3523903916?\nAnswer: 2, 13, 41, 1652863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 26506891*a - 34871893?\nAnswer: 26506891","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(6\/11)\/p)\/(p\/p**(-2\/57))*(p\/(((p*p**(-3\/8))\/p)\/p)*p)**(-44))**(1\/8) assuming p is positive.\nAnswer: p**(-188087\/10032)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 4.589.\nAnswer: 7.589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 113365507 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p - 29 = -30*p + 5*w, -2*p + 34 = 4*w. Which is smaller: 2\/3 or p?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -21*z**2 - 28*z - 6. Let c(k) = -11*k**2 - 15*k - 3. Let t(f) = -11*c(f) + 6*u(f). Let n(a) = -5*a**2 - 4*a - 4. What is -3*n(s) + 4*t(s)?\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 62391757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17 and 408?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2*(86 + -50 + (-6159)\/171)\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - -37 - 17 - (2 - -10) - -52\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132.258*-0.4.\nAnswer: 52.9032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6306 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s - 5*s**4 + 4*s - 3*s**4 + s**4 + 14*s**4 - s**4 - 3*s**4 + 5*s**4 + (0*s - s + 3*s)*(-5*s**3 + 5*s**3 + 2*s**3).\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*f - 8 = 9, 8 = -4*p - 5*f. Suppose -342 + 129 = p*c. Let a = 141 + c. List the prime factors of a.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 z when three letters picked without replacement from {z: 3, m: 1, h: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*z = -49914 + 4753, -5*z + 45165 = 5*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h. Let m(a) be the third derivative of 9 + 1\/3*a**3 + 1\/24*a**4 + 0*a + 2*a**2. Calculate v(m(r)).\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8760570 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 10 = -20. Let g(r) = r**2 - 4*r - 3. Let s(k) = 3*k + 2. Determine l*g(z) - 3*s(z).\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -47 + 60 + -20 + 17\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**10)**37 assuming l is positive.\nAnswer: l**(-333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -0*r. Suppose -2*q + 5*l + 40 = 3*q, 3*q - 2*l - 29 = r. Solve h + 2*j - 9 = -0*h, -3*h - q = -2*j for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/3*((-297)\/(-6))\/33?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*n - 1. Suppose 0 = n*d - 47 - 11. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1566 divided by 522.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 4736.3999 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 57*d**2 - 263*d + 5525. What are the prime factors of a(24)?\nAnswer: 5, 13, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - (-12)\/6 - -278. Which is smaller: w or 288?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 12*a - 8. Let p be l(5). Solve -6 = -3*r, 0 = -p*s - 3*r - 3 + 7 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/3850 and 59\/2870.\nAnswer: 157850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 16*h + 26225*h**2 - 26225*h**2 to the form o*h**3 + j*h**2 + z*h + k and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -27*((-4414)\/3 + 4). Suppose -n = 7*g - 25*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -192 - -194. What is the greatest common divisor of 18 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 7:44 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 9 = 2*c, -8 = 2*m - c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2086407033?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = 8*g - 45*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 46.2. Let c = -0.18 + 5.18. Let f = 5.2 - c. What is the smallest value in s, f, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 6*c - 15. Suppose -9 = -c*o - 0*o. Let h(q) = q**3 - 12*q**2 - 11*q - 26. Let a be h(13). Solve o = 2*u + 5, a = -k + 4*u + 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 147*p**5 - 3150*p**4 - 5217*p**3 - 2196*p**2 - 276*p = 0. Calculate p.\nAnswer: -1, -2\/7, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. Suppose g = b - 4. Let x = -8 - -13. Solve x*k - 2*a - 17 = 0, 3*k - 3*a = 4 + b for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -136*n**2*u**3 + 1620547834*n**2 + n*u - 195230*u with respect to u.\nAnswer: -408*n**2*u**2 + n - 195230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 1)*(3*x**3 + 4*x**3 - 5*x**3) + 160 - 160 + 8*x**2 - 4*x**3.\nAnswer: -8*x**3 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -1 + ((-6)\/(-3) - -9). Suppose -2*v + 588 = x*v. Calculate the remainder when v is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17234812 and 14?\nAnswer: 241287368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11700000 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1214 >= -1215?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4 = -12, 0 = 4*r + 3*i - 16. Let u be 7\/14*(-1 + 0 + r). Suppose u = 3*p - 5*h + 6, -h - 4*h + 30 = 5*p. Solve p*j + 6 = 6*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*f**6 + 108*f**4 + 15*f**2 + 57*f wrt f.\nAnswer: 2640*f**3 + 2592*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7379 = 7*u - 3107. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -16 + 16 + 0\/3 - 0. Let c(z) be the third derivative of -1\/20*z**6 - 1\/60*z**5 + k*z - 5*z**2 - 1\/6*z**3 - 1\/24*z**4 + 0. Calculate c(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12111*k + 56054?\nAnswer: 12111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -6)*(-21 + -40). Calculate the highest common factor of 122 and i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*v + 23 + 22 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47970 and 446121?\nAnswer: 4461210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 59*r**3*w**3 - 1412*r**3*w - 3*r**3 - r**2*w + r**2 + 13778*r*w**5 - 11*r wrt w?\nAnswer: 354*r**3*w + 275560*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4 - 16. Let c be (p\/(-6))\/((-2)\/(-3)). Solve -2*l = -c*l - 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 1. Let v be c(2). Suppose p + 24 = 4*p - v*u, 5*p + 5*u = 0. Solve -7*q - 3*j = -2*q + 35, 4*j = -p*q - 32 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1296 and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2000642619?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**4 - 11720*r**3 - 17016764*r**2 + 448395480*r - 2927502162 = 0.\nAnswer: -2943, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**5\/20 - r**4\/3 + 7*r**3\/6 - 4*r**2 - 7*r. Let y be z(3). Suppose -90 = y*b - 22*b. Solve -n + 4 = -1, b*v = n + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 3) in base 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -188, -358, -514, -656, -784, -898?\n\"Answer: 7*m**2 - 191*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 247708 + 45?\nAnswer: 247753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 4*f**2 + 6*f - 3. Let b(u) = -18*u**2 - 12*u - 12*u + 7*u + 8 + 3*u**3 + 7*u**2. Let v = -4 + 8. Give v*b(p) + 11*k(p).\nAnswer: p**3 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**3 - 2*b + 11. Let f(x) = -3*x - 2 + 14 - 14*x**3 + 18*x**3. Let g(q) = 2*f(q) - 3*h(q). Differentiate g(a) wrt a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19336948*t**4 + 6410502*t**2 wrt t?\nAnswer: 464086752*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1449, -2586, -3697, -4770, -5793, -6754?\nAnswer: -7641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-99)\/(-21) + 8\/28. Suppose -549 = -p*u + 136. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 - -486a?\nAnswer: 4890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from arwirrwiwriri. Give prob of sequence arwi.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(1\/12)\/w)\/w*w**(-29)*(w**(-4))**(-20) assuming w is positive.\nAnswer: w**(601\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -5\/2*c**2 - 345*c + 695\/2 = 0.\nAnswer: -139, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 18940000 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**2 - 109*d + 284. Let s be i(-57). Let w be 1 - (0 + 1) - 5. Put s, 2, w in descending order.\nAnswer: 2, s, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3 + 20628*w**2 - 144834*w - 3509140 = 0. What is w?\nAnswer: -10321, -10, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**4\/17 + 14*n**3\/17 - 14*n**2\/17 - 30*n\/17 = 0.\nAnswer: -1, 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5))**(-23) assuming y is positive.\nAnswer: y**115","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 29*r + 71 = 20*r + 337, -r = c - 32 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20779*x + 946 = 20865*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - p + 0*p + 5 = 0, 4*i + 4*p - 4 = 0. Let m be 0\/(-1) - 12\/i. Let c(n) = 22*n**2 - 8*n + 1. Is c(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -76? (a) -1 (b) -3\/2 (c) 293 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 268 = 3*w - k, 5*w = 4*w - k + 88. Let l = -63 + w. Suppose -4*t - 3*g + 144 = 0, 0*t + 175 = 5*t + 5*g. What is the highest common factor of t and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1814 divide 9508988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 12066*j + 194. Is z(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**2 - 11*g + 10. Let x(k) = 6*k**2 + 34*k - 28. Let a(w) = 8*i(w) + 3*x(w). Let v be a(-8). Solve 6*c - v = 2*m + 2*c, 0 = 4*m + 2*c - 26 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by 56.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 491, 6822, 23995, 57428, 112539, 194746, 309467, 462120?\n\"Answer: 903*u**3 + 3*u**2 + u - 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 + -18. Let y(q) = -2*q - q + 6 + 6*q + 4*q - q**t. Suppose -3*c - 18 + 42 = 0. What is y(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**3\/3 - 4*o**2 - 7*o + 18. Let h be c(-7). Suppose h = 13*t - t - 132. What is the greatest common divisor of t and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 7*i + 8. Let u be d(8). Suppose 3*x - 18 = -u*x. What is the least common multiple of x and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-48)\/60*(-5)\/2. Suppose -j*s = 3*l - 10, 5*s + 3*l = 5 + 11. Calculate the lowest common multiple of 6 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 309*f - 308*f + 3*f**3 + 3 + 2*f**2 - f**4 + 0*f**3 in the form v*f**4 + x + n*f**2 + y*f + d*f**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-153 + 19530\/124)*((-2)\/5 + (-248)\/30).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99962 and 1510?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -307 less than or equal to -307?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18095 and 1749440.\nAnswer: 82223680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 468675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 86983.999927181 - 86984. Round b to 7 decimal places.\nAnswer: -0.0000728","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 8*h - 5. Let d be q(10). Suppose -l + d = -6*l. Round l to 0 dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115*0.133\nAnswer: 15.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-21)\/d**(2\/39)*(d*d\/(d*d**(-8\/13))*d)\/d*d*d**5 assuming d is positive.\nAnswer: d**(-524\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 30122.14 litres in millilitres?\nAnswer: 30122140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t = -0*t + 616. Let x = t + 103. Let h(i) = x*i - 37*i + 24 - 24. Let f(v) = v**2. What is h(f(y))?\nAnswer: 10*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -844902830 rounded to the nearest one million?\nAnswer: -845000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2421841236 to the nearest integer?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.12 and -2185\/2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 792565, 1585144, 2377733, 3170332?\n\"Answer: 5*r**2 + 792564*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 2, p: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 14*f + 4*f - 8 = 2*h - 5*f, -2 = -f for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 21*w**3 - 3 + 2*w - 5*w**2 + 2*w**2 + 5*w. Let z be u(2). Let q = 318 - z. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 894?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*(j\/(((j*j**(-4\/13)\/j)\/j*j)\/j))\/j)\/j*j**(-7)*j**(-1\/7)*j\/j**(-3\/5) assuming j is positive.\nAnswer: j**(-1927\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -82\/15 and 89\/3690?\nAnswer: 3690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 1006 + 6. Let v = -132 + x. Calculate the greatest common factor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -3\/14, -1.5 in descending order.\nAnswer: 4, -3\/14, -1.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8122944356\/3549 + 2288798. Let d = -193509\/169 - -1145. Let j = d + v. Is 0 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/18 and ((-6)\/34)\/((98\/203)\/(-7))?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1557452 divided by 778726?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -704*q**3 - 398002*q + 398002*q + (4*q**2 - 4*q**2 + q**2)*(-q + 0*q - q) to b*q**2 + i + o*q + x*q**3 and give x.\nAnswer: -706","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 89233*u - 981542. Give r(11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/698 in -1\/5, 1\/7, 5, 0.01, 0.65?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -l + 55809, c + 217156 = 12*l - 452740. What is the thousands digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7139?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**2 + 1079610*o - 65837605 = 0.\nAnswer: 61, 215861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the third derivative of 5*j**2 + 1\/24*j**4 + 1\/3*j**3 + 0 + 0*j - 1\/12*j**5. Let o(y) = 14*y**2 - 3*y - 6. Determine 6*o(d) + 17*s(d).\nAnswer: -d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -238 + 237.7. Let m be 2\/(-5) - 24\/(-10). Suppose 0 = -k - m - 2. Which is the third biggest value? (a) k (b) -1 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of -o**6\/6 - o**2 - 22*o. Find the first derivative of r(b) wrt b.\nAnswer: -20*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the third derivative of 217*m**4\/24 - 91*m**3\/3 - m**2 - 42*m. Differentiate c(l) wrt l.\nAnswer: 217","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 7:11 PM?\nAnswer: 6:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 6 = 7*l. What is the common denominator of 0 + l - 3058\/(-220) and -23\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-9) + (-5)\/(-3))\/1. Let k be 4\/6*(7 - l - -15). Solve 20 = 4*a - 4*z, -4*a + 39 = -5*z + k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0\/(-4) + 723 + (-20)\/5 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -13*l**6\/30 - 19*l**3\/6 + 6*l. Find the second derivative of f(h) wrt h.\nAnswer: -156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h**2 - 2*h. Let p(x) = -x - 12. Let u(z) = -312. Let j(g) = 26*p(g) - u(g). Determine i(j(t)).\nAnswer: 4056*t**2 + 52*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -23212211?\nAnswer: -23212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 560 - 327. Find the third derivative of -n*k - 48*k**2 + 23*k**5 + 233*k wrt k.\nAnswer: 1380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*s - 26, 5*l - s - 80 = 3*s. What is the first derivative of l + k + k - 11*k wrt k?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 8 (b) -2\/3 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -13\/1563?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 678517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/(-2) - (-5)\/(-4 - -14). Suppose -875 + 145 = -w*p. What is the remainder when p is divided by 37?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258681.1 - -639.\nAnswer: 259320.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 41*k - 2. Let h = -9 + 7. Let y(v) = -3*v - 3. Let q be y(h). Let d be g(q). Calculate the greatest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 127, 3, 1, -5, 0 in decreasing order.\nAnswer: 127, 13, 3, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -70876.84102 rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (6 - -2 - 14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3762\/(-924)*28 - -93?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -13*51\/(-442)*2. Solve l*x - 23 = -4*b, 5*b + 9 - 32 = 2*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54 = -3*r - 3*c + 75, 4*c = 12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8746, -70181, -237048, -562063, -1097942, -1897401, -3013156, -4497923?\n\"Answer: -8786*p**3 + 67*p - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15926*b**2*n**4 + 2*b**2*n**2 - 5371*b**2 + 2*b*n**5 wrt n?\nAnswer: -382224*b**2*n + 120*b*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -11221110 divided by -5\nAnswer: 2244222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -347913, 3\/5, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -164.1038749 rounded to the nearest 10?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 289247 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84*z**3 + z**2 - 10556*z - 3389960 with respect to z.\nAnswer: 252*z**2 + 2*z - 10556","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3045461 - -225?\nAnswer: 3046016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 113*z - 58*z - 67*z. Solve -l - 4 = z*s - 11, 2*l = 10 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h - 22. Give i(19).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Solve 3*i - 2*b + 8 = 0, 5*b + 26 - 46 = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-11\/4)\/s)**(-1\/12) assuming s is positive.\nAnswer: s**(5\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -98 + 293\/3. Let l = 2.8 - 1.9. Which is the closest to -0.1? (a) l (b) d (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 7*j - 2*j, -j = 3*s - 20. Solve 8 = s*t + m, 2*t + 5*m + 3 = -3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2.7 (b) 1\/2 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 41114626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -8*l**2 - 3745*l + 61457. Give v(-484).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1935, -1840, -1661, -1392, -1027, -560, 15, 704?\nAnswer: 1513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -3\/5, -37\/7 in descending order.\nAnswer: -0.2, -3\/5, -37\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 1256.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4bf4 - cc8?\nAnswer: -58bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.01603 from 0.04.\nAnswer: 0.02397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2807004 + -14035022\/5. Let u = 13 + -14.1. Let p = -1 - u. What is the closest to p in k, 1\/22, 2?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5809026 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: Calculate 68*-9845.\nAnswer: -669460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 3*j**4 - 11784*j**3 - 10325592*j**2 + 43006650720*j + 39958302529200 = 0.\nAnswer: -1166, 3130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3784, 3783, 3782?\nAnswer: 3781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -93, -1, -15.\nAnswer: -93, -15, -1, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30320 divided by 8.\nAnswer: 3790","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t + 2*t + t - 4 + t + 4 + (-2*t - 3 + 3)*(0 + 3 - 5) - t + 0*t + 0*t + 1 - 1 - 2*t in the form v*t + h and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/56)\/((-5)\/(-1 - 406\/84)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 5*t. Let p(w) = -5*w. Let i(v) = -4*p(v) - 5*z(v). Let n(f) = 73*f + 42 + 34 - 72 - 81*f. Calculate n(i(s)).\nAnswer: 40*s + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = c. Suppose k - 24 = -c*k. Suppose -t = 2 - k. Is 13 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 4516?\nAnswer: -4524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1101740725*k - 536734526 wrt k?\nAnswer: -1101740725","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333606 is divided by 183.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -0.4, 0.3, -3\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(4356))\/(-1*sqrt(12)*-4 + sqrt(12)).\nAnswer: 44*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1385108.305 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-60)*8)\/(13\/(-39))*-40.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t = 1282 - 1132 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*b + 13 - 46 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 45. Suppose 4*w - 20 = -j*y, 3*y = 4*w - 0*y + 4. What is the greatest common divisor of w and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -21859704276 and 3.6?\nAnswer: 21859704279.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q. Let v(p) be the second derivative of -13*p**4\/12 - 12*p. Give c(v(z)).\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*x + 6065 - 259 + 5048 = 0 for x.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of p**6\/120 - p**5\/20 + p**4\/6 - p**3\/3 - 207*p**2. Let i = 10 - 7. Calculate the remainder when j(i) is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, r: 2, d: 2}. Give prob of picking 3 r.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 25*y**2 - y - 2. Suppose 12*k - 10*k = -4. Let a be h(k). Calculate the greatest common divisor of a and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 81\/6100520 and 21\/1525130.\nAnswer: 6100520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*l + 28 = 0, l = -4*h - 2*l - 11. Which is smaller: 1\/2320 or h?\nAnswer: 1\/2320","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 69*n**2 - 1. Let r = 14 + -13. Does 24 divide y(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 7223005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 864 and 18.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-969)\/34)\/(-57))\/(6\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10\/21461 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 5. Suppose 4*x - 34 = -0*u + 2*u, m = 5*x + 3*u - 15. Suppose -36 = -5*c + 2*p, -2*p = -c + 6 + x. What is the lowest common multiple of 3 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-10) + (405\/(-25))\/(-9). Suppose -y*w + 1 = 2*s - 13, -31 = -4*s - 5*w. Calculate the highest common factor of s and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -514, -572, -630, -688, -746, -804?\n\"Answer: -58*k - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 + 0*d**5 + 0*d**5 + (-2*d**3 + 2*d**3 - 2*d**4)*(2*d - 5*d + 2*d) + 528*d**5 - 116918*d**2 + 116918*d**2.\nAnswer: 532*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.79482ml to litres.\nAnswer: 0.00479482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42)\/(sqrt(3) + sqrt(48)) + (sqrt(1400) - 1*sqrt(1400)))*2)\/((sqrt(140)*-2)\/sqrt(5) + (-2*sqrt(2800) - sqrt(2800) - sqrt(28))).\nAnswer: -sqrt(2)\/165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-42 - -10)*(-34)\/8. Suppose -1079 - n = -9*w. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 406*v + 27619. Give f(-67).\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.24123 to 1 dp.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*p**4 + 8*p**5 + 25*p**4 + (-p**3 + 2*p**3 + 0*p**3 + (4*p**2 - 3*p**2 - 3*p**2)*(0*p - 2*p + 5*p))*(p**2 - p + p).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 296101867 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -781798*k**3 + 661169*k.\nAnswer: -4690788*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 16 = -2*v + 2*b, -v + 4*b = 18. Sort 7, 33, v in ascending order.\nAnswer: v, 7, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -6*j**2. Let k(p) be the third derivative of -121*p**5\/60 + 250*p**2. Determine u(k(s)).\nAnswer: -87846*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -88446, -177046, -265746, -354540, -443422, -532386, -621426?\n\"Answer: o**3 - 56*o**2 - 88439*o + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1411\/204 + (4 - -18) - 1\/(-24)*2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.5689 - -12.5979115. Let w = 134.029 + -134. Let g = a - w. What is g rounded to 6 decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m**5 + 159*m**4 - 3546*m**3 - 213096*m**2 - 201696*m + 418176 = 0 for m.\nAnswer: -44, -2, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -85*h - 123. What are the prime factors of k(-14)?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + 3*c - 104 + 26, 56 = 3*q + c for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 5*f + 1 = 0, 4*g - 1226*f - 5 = -1225*f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19037 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjjjjjjjjjij. What is prob of picking 3 j?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 3*i + 27. Suppose 2*o + 2*b + 28 = 54, -38 = -4*o + 3*b. What is the smallest common multiple of o and i?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 5) + 1 + (5 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and -104.\nAnswer: 1664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 8*a - 7. Let v be l(-7). Let w be (-3)\/6*0 - v. Is 9302\/18 + 14\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxsxssxssxsxxxxsss. Give prob of sequence xxx.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + -6 - (6 - 6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1867829, -1867832, -1867835?\nAnswer: -1867838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 946644670 a multiple of 755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 213070614?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7c8 + 12?\nAnswer: 7da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -396 - -707. Find the second derivative of 10*f**5 + 12*f + k*f**4 - 314*f**4 + 20*f wrt f.\nAnswer: 200*f**3 - 36*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -3*2\/(-6). Suppose -n*x - 7 = -46. Let l = 22 - x. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 23*v + 52. Give n(14).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 3*z + 3 - 0, 0 = 4*z - u - 7. What is the highest common divisor of z and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 15. Let d be z(19). Suppose 0*s + 16 = 4*s. Let v = d - s. Solve v*r - 2 = 2*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 1 - 5. Let s = 0.01 + -0.07. Let v = s + 3.06. Which is the closest to 0.1? (a) v (b) -3\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**3 - o**2 + 3. Suppose -3 - 7 = -5*q. Let y(w) = w**q - 3 + 0 - 3*w**3 + 0*w**2 - 2. Determine 5*s(r) + 3*y(r).\nAnswer: r**3 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 577, -0.17, -1\/3, -1.7, -174?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21604091 != 21604091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -797*a*j**2 + 567*a*j wrt j?\nAnswer: -1594*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4003182 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2\/57 (b) -0.5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*h + 35 = -18, h = -5*c + 125. Calculate the remainder when c is divided by (-5)\/1*27\/(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + (-2 - 7 - (-9 - 9)) - 2) + 17.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -983*g**3 + 5*g**2 + 2064*g**3 - 922*g**3 as w*g**3 + z*g**2 + d*g + u and give w.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-25)\/9 - (-1)\/(-6) and ((-40)\/(-576))\/((-32)\/33 + 1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -4\/151 (b) -1\/3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-1*63\/81)\/((-30)\/72).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3320 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, 61, 5, -6, -5 in descending order.\nAnswer: 61, 5, 2, -5, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9711498.5 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18692?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/3 - 1\/3. Let t(n) = 21*n**2 - n - 4. Let y be t(p). What is the remainder when y\/8 + 2\/(-4) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 418960183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2da443 (base 15) in base 13?\nAnswer: -5c5842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/3)\/((-135)\/(-810))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of 7*l**4\/12 + 19*l**2. Let v(n) = 4*n**2. Determine v(x(o)).\nAnswer: 784*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -13*k + 187. Let b be v(14). Sort -0.4, -8, b, -4 in decreasing order.\nAnswer: b, -0.4, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 8*w - 2. Suppose -4*u = 16 - 4. Suppose -o + 3*r = -15, 4*o + o + 4*r = -1. Let x be -4 + o + (u - -2). Let b(y) = 25*y - 7. Give x*b(t) + 7*j(t).\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*m - 463*m = -123*m - 57517 for m.\nAnswer: 113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 8:26 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4630195306 rounded to the nearest one million?\nAnswer: -4630000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/((-6)\/4))\/(210\/63).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63 or 987?\nAnswer: 987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 262 - 221. What is the remainder when 112 is divided by p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 7*x**2 - 9*x - 6. Let j be s(-8). Let h = -6 - -4. Let b be 8 - (-16)\/(h - j). Solve y + 5 = 0, b*f - 22 = -0*y + 2*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193.79 meters in micrometers?\nAnswer: 193790000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93296 is divided by 31?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 63 + -13115?\nAnswer: -13022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and (4\/2)\/((-8)\/(-8))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) -5 (b) 17215 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1814842 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/42 and 68\/3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12650 in 256, 1\/2, -3, 1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.9? (a) -3\/7 (b) 4 (c) -3 (d) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 19*z**3 - 2*z**2 + 2*z - 3. Is l(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-3*(sqrt(72) - 1*sqrt(72) - sqrt(72) - sqrt(72))**2*-4*-4.\nAnswer: 82944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 2 + -4 + 5. What is the biggest value in 3\/2, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((84\/8)\/7)\/(18\/48). Solve 20 = -n*s - s + 5*t, 2*s - 12 = -2*t for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -248 greater than or equal to -247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -9*h**4 + 529*h**3 + 1277*h**2 - 3505*h + 1708 = 0.\nAnswer: -4, 7\/9, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a year?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i - 2*i - 13 - 14 - 7 = 2*p, -i = 2 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -67, -248, -553, -988, -1559?\n\"Answer: -p**3 - 56*p**2 - 6*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -236787, -12, -2 in ascending order.\nAnswer: -236787, -12, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 4*a = 7, -1 = -2*q + 10*a - 7*a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g - g**3 - 27*g**2 - 10*g**2 + 3*g - 2*g to the form o*g**3 + f*g**2 + i + d*g and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636271791?\nAnswer: 3, 19, 97, 115079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -842*p + 58948. What is n(70)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-2\/27))\/(n\/(n**(-3\/2)\/n)))\/(n**(-2\/13))**(-34) assuming n is positive.\nAnswer: n**(-5479\/702)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -0.1 (b) 9452 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 167890 and 13615570.\nAnswer: 2219337910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 27, 34?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/(-6))\/((-9)\/(-27)). Let s = 2814 + -1229. Suppose -a*f + 9*f - s = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31121269.\nAnswer: 31121269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -33699 divided by 3\nAnswer: -11233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1)*(-40)\/(-800)*-20\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3975425 is divided by 865.\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6*(-32)\/(69632\/(-96))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 611 is divided by 123.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 781 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aadnakax. What is prob of sequence ak?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -824*a + 825*a + 7 = -3*v, -18*a + 23*a + 4*v + 13 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6107, -12872, -19637, -26402?\nAnswer: -33167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u. Let l(p) be the third derivative of p**5\/5 + 8*p**2. What is l(g(b))?\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express l**4 + 3*l**2 - 2 + 5 - 2*l**2 - 1 in the form c*l**3 + z*l + h*l**4 + t + w*l**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22872 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*49\/28*7778 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(209)\/(sqrt(99) + sqrt(11)) + 4.\nAnswer: 4 + 5*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -8*f - 4. What is z(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*i**3 + 5*i**3 - 2*i**3 + (-i + i - 2*i**2)*(i - 2*i + 0*i) + 0 + 2*i**3 + 0 - 8457 + 4246 + 4234 - 54*i**3.\nAnswer: -52*i**3 + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-11)*v)\/((v\/(v\/(v*v*v**(2\/3))))\/v) assuming v is positive.\nAnswer: v**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1007800 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -5 + (12 - 12 - -16)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -23, -20, 154, -4\/9, -2\/5?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5*448.1\nAnswer: -2240.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 11*i**2 - 13*i. Let x = 97 + -88. Is f(x) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**27)**(1\/10) assuming v is positive.\nAnswer: v**(27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 15*m**6\/2 - 15*m**5 - 25*m**4\/4 + 25*m**3 - 20*m - 74. Suppose j(z) = 0. What is z?\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10 + 5)\/((-2)\/4). Let d = v + -7. Suppose d*i - 3*l = -l + 5, 0 = -3*l - 3. Sort -1, i, -2 in decreasing order.\nAnswer: i, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**3 - 3*l**2 + l + 2. Let g(c) = c**3 - 4*c**2 + c + 3. Determine 2*g(j) + r(j).\nAnswer: -j**3 - 11*j**2 + 3*j + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -348809 != -349396?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.9 - 78.9. Let h = 65.927 + q. What is h rounded to two dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 27*w**2 - 782*w + 2691. What is m(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = -0*z. Suppose -5*l = -z*l. Suppose 0*h - 5 = -2*h + p, 4*h + 4*p - 28 = l. Is h < -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 340967323 and -2\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 s when two letters picked without replacement from {s: 2, x: 4, q: 4}?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -272 (b) 1 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66450 smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1345*y = 151*y + 350 - 23036 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 1:30 PM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -707 (base 12) in base 4?\nAnswer: -33313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 9*y - 5. Let d be b(-7). Let p(k) = -8*k**2 + d*k**2 - 4*k**2 + 0*k**2 + 14 + 18*k. What are the prime factors of p(6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.01 and 1.42.\nAnswer: 1.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -5 + u - 4*u**2 - 6*u + 5*u**2. What is the units digit of z(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/30*0 + (4 - 4). Which is smaller: z or -3\/46?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2716*k = 210586 - 139970 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 358571 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16759, 17151, 17805, 18721, 19899, 21339?\nAnswer: 23041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-6 + 2)) + (1 - -6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 1975484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/36*(-14)\/35?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 5, 24, -86 in increasing order.\nAnswer: -86, -2, 2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 3:06 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 2:31 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r - 2. Let c be 15\/3 - 4*1. Let p be w(c). Does 14 divide 1514\/12 - (p\/30)\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -42. Let v(r) = -2*r + 2. Let f(q) be the first derivative of 7*q**2\/2 - 7*q + 2. Let t(x) = x + 11. Let g be t(-5). Determine a*v(j) + g*f(j).\nAnswer: -2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1847 greater than -9233\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/200 and -17\/12.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -339 greater than -582?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttdtlplp. Give prob of sequence ld.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 62 - 57. Suppose -11*q = w - 93. What is the greatest common divisor of q and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 d, and 1 k when three letters picked without replacement from {o: 1, d: 7, k: 1, z: 7, c: 3}.\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19924369 or -259016788\/13?\nAnswer: -19924369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2693 by -126.\nAnswer: -2693\/126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62848, -126103, -189354, -252601, -315844, -379083?\nAnswer: -442318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -3. Let z = p + 10. Solve 5*f - 7 = -z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2 + 105*i + 372 = 0.\nAnswer: -31, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 - 4273895000?\nAnswer: -4273895000.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/16 and 127\/98496.\nAnswer: 98496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -33, -57, -107, -195, -333, -533, -807?\nAnswer: -1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 + 4*a**2 - a**2)*(0 + 26 + 6)*(a**3 + 3*a**2 - 3*a**2 + (2*a - 2*a - 2*a**2)*(a - 2*a + 3*a)).\nAnswer: -96*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -92 + 5ae4?\nAnswer: 5a52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**4 - 7638912*v**3 + 61034024*v**2 wrt v?\nAnswer: 24*v - 45833472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 - ((4 - 2) + -62980)?\nAnswer: 3, 7, 2999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 3:12 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 12*d + 5. Let s be ((-1)\/(-2))\/(-1)*-10. Suppose -5*r = -i + 5*i + 16, 3*i - s*r = -47. Is 16 a factor of k(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -175*x**2 + 175*x**2 - 15*x**3 + 3*x**3 - 2*x**3 + x**3 + 4*x - 4*x + 2*x**3 + (-x - x**2 + x)*(x + 1 - 1) - 4*x**3 + 2*x**3 + 0*x**3 + 2*x**3 + 3 - 3.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*j**2 - 377*j**2 + 185*j**2 - 3*j.\nAnswer: -28*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.002 - -1.998. Let l be (34 + -8)*2\/(-8) - 8\/(-1). Let n = -2 - -2.4. What is the fourth biggest value in r, l, -2\/7, n?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 611\/33 + -166\/3. Let h = q - -37. Solve -h*k**2 - 8\/11*k - 6\/11 = 0 for k.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6607504067 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 8*a**2 - 8*a. Let u(w) = 3*w**2 - 3*w. Determine -4*g(p) + 11*u(p).\nAnswer: p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + u**2 + (u + 4*u - 4*u)*(u - 4*u + u))*(-1 + 3 - 3)*(-7 - 1 - 7) to the form g*u + d + a*u**2 and give a.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/(-6) + (-10)\/3. What is the units digit of k\/(-14) - 3000\/(-35)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**6\/160 - 3*m**5\/40 + 9*m**4\/32 - 3*m**2\/2 + 5*m. Let x(y) be the first derivative of w(y). Factor x(l).\nAnswer: 3*l*(l - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-7))\/(8\/84). Solve -3*m + 2 + 5 = -d, 2*d + t = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2*o**2 - 8*o + 16. Let b(k) = -6*k**2 - 23*k + 47. Let j(v) = 4*b(v) - 14*w(v). Let i(u) = 1. Let f(g) = 12*i(g) + j(g). Factor f(p).\nAnswer: 4*(p - 1)*(p + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/24)\/(1722\/1107))\/((-600)\/700)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50\/87 + 7\/29. Which is the third smallest value? (a) 0 (b) n (c) -2\/9 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w - 4. Let x be l(6). Let z = -11 - -9. Which is the closest to -0.2? (a) x (b) z (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -15\/83 and 43\/9276?\nAnswer: 769908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100122 (base 4) to base 12.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a litre in millilitres?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13474964351 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 5*p + 19, -2*p = -4*v + 2 + 24 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-32)\/1794)\/4*30\/(-140). Is d <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183520158 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*v + 134*v + 2160 = 0. What is the greatest common divisor of v and 828?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a century in months?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/9 + 394*g\/9 + 14536\/3 = 0. What is g?\nAnswer: -79, 276","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -232, -467, -704, -943?\n\"Answer: -m**2 - 232*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m. Let q be y(-2). Suppose 0 = i - q*i - 1, -4*w = -4*i - 24. Let b = 0.01 - -3.99. What is the smallest value in w, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 37915, 2.\nAnswer: -11, 2, 37915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 245750*c - 739932*c + 245741*c + 248449*c.\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 + 8*c. Let g(k) = -k**2 + 3*k. Let m(h) = 8*g(h) - 3*j(h). Let v(i) = -i**2 + 2 - 2. Determine m(v(q)).\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - n - 5. Let b(m) = -m**2 - 2*m - 2. Let v(z) = -3*z**2 - 5*z - 5. Let c(h) = n*b(h) + 2*v(h). Let o(i) = 4*i. What is c(o(y))?\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25734 + 25556. Sort w, 2, 7, 5, 4 in descending order.\nAnswer: 7, 5, 4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*v - 174*v - 298*v**2 - 538*v**2.\nAnswer: -836*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-6))\/((9*110\/(-15642))\/3).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.785 and 26.\nAnswer: -150.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5308 times -14189?\nAnswer: -7531.5212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -309657732 plus 6910?\nAnswer: -309650822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -72.6 + 70.6. What is the biggest value in -1\/6, d, 2\/9, -0.224, 0.2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 9. Which is the third smallest value? (a) r (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006918484 to 5 dps.\nAnswer: -0.00692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5*-50.253\nAnswer: 251.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 3*t = 2*t + 1282 - 1322, 5*t = -382*w + 40 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xana when four letters picked without replacement from aaixccn.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (-3)\/3)\/(6\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 8:49 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -88*q + 825 - 33 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 301 + -292. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 x when three letters picked without replacement from rqhxqvrv.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 451 and 369?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3277*p**2 - 8551*p**2 + 43067*p - 43067*p as s*p**2 + d + u*p and give s.\nAnswer: -11828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 323 - 4*p**2 + 325 + 318 - 966. Let h(x) = -x - 53. Calculate y(h(k)).\nAnswer: -4*k**2 - 424*k - 11236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -18 + (-4 + 13 - 7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1002210211022121 (base 3) to base 15\nAnswer: -15cdb37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23213 (base 4) to base 8.\nAnswer: -1347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 0 + (2 - 5 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 415*x + 1122*x + 127890 = -374*x - 119*x for x.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 40745906\/15 > 2716395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 107329008277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2352890 divided by 1176445.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0527 minus -194?\nAnswer: 194.0527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*q**5 - 6*q**4 + 118*q**3 - 2580*q**2 + 3*q wrt q.\nAnswer: 120*q**2 - 144*q + 708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21365?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/1*(-4)\/6. Let q be ((-6)\/5)\/(d\/(-25)). Let t(b) be the first derivative of -b**2 + b - 1. Give t(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 8. Find the second derivative of d - 2 + 3*d**n + 2 wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nawwnlttlpaptwttaaw. Give prob of sequence apaw.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*s + 9, -5*g - 5*s + 5 = -2*s. Let p be g\/6*255\/34. Suppose p*i = -m + 141, -5*m = 2*i - i - 9. What are the prime factors of i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -341 and 107.8099.\nAnswer: -36763.1759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + 8*m + 1. What is v(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -88*s**2 - 1187*s - 103. Give g(-12).\nAnswer: 1469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 73 + -73.2. Let u be 1\/4 - (-14)\/(-24). Suppose 0 = h - 4. What is the closest to u in h, b, -1\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11.6 in -2\/9, -2, 0.3, -0.06?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*f = -13, 72*n - 71*n - 4*f = 23. Solve -4 = 23*l - 25*l - 3*m, -n*l - 16 = -m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18425630 is divided by 228.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 + 364 = -40*m for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**22*v*v*v**3*v*v\/v**(3\/14)*v**(-3\/16) assuming v is positive.\nAnswer: v**(3315\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12432, 24862, 37292, 49722?\nAnswer: 62152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4215\/182 + -315\/13. Let y = q + 88\/7. What is the common denominator of -39\/4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - 25792.28595?\nAnswer: -25821.28595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*1\/(-14)*43\/(-387). Which is the smallest value? (a) p (b) 3 (c) 8 (d) 2\/5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38439 - 1561. Round o to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + n - 9, 9 = -g - 3*n. Is g at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/5)*z*z*z**(-1\/6)*z*z)\/(z*z**(-3)*z)**(1\/9) assuming z is positive.\nAnswer: z**(373\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -h - 19, 0 = -48*y + 46*y - 5*h - 39 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 560, 266, -30, -328, -628?\n\"Answer: -s**2 - 291*s + 852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.67 * 91.\nAnswer: 60.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -852*i**2 + 180*i**2 - 8104*i + 8101*i.\nAnswer: -672*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*u - 15 = 707*u + l, 0 = -l + 1 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 304 + -606. Let s = -216 - p. Let h = -85.999921 + s. What is h rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-4)\/7 - 1624\/(-98) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1918)\/822*(-11)\/21. Find x such that -1\/9*x**5 + 16\/9 - 56\/9*x + 73\/9*x**2 - 43\/9*x**3 + f*x**4 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.806902 and 1211574.\nAnswer: 1211572.193098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5592555 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**3 - 3*q**3 + 12*q**4 - 20*q**4 - 2*q**2 + 3 + 7*q**4 to the form u*q**4 + f*q**2 + j + c*q + x*q**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-404)\/(-6))\/(-11 - 735\/(-63)). Solve -u*r + 102*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 5:47 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b**2*d*m + 2*b**2*g - 3*b*g*m - 39*d + g*m - 42*m wrt b.\nAnswer: 6*b*d*m + 4*b*g - 3*g*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s = 13*s + 286. Suppose -21*w - 545 = -s*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110 - 10000?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + -6 - ((-8)\/(-2)*-3 + -746489) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39 by -3492373.\nAnswer: 39\/3492373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of a**3 - 10*a**2 + 13*a. Let c be f(6). Suppose 10*o = c*o + 42. Which is smaller: o or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 54 and -19.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + (sqrt(1584) - (-3*sqrt(1584))**2) + 1 - ((sqrt(1584) + 1 + -4)**2 - (sqrt(1584) - (1 + sqrt(1584)))*-6)).\nAnswer: -168*sqrt(11) + 31694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + 3. What is the third derivative of 3*h**y + 5*h**6 + 0*h**2 + 5*h**6 wrt h?\nAnswer: 1200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 20\/8 + (-1)\/(-2). Suppose 4*v = -4*d - 4, 3*d + 23 = -v + l*v. Let s = 3 - v. Is s greater than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 999 a factor of 122483615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22014 + 313?\nAnswer: -21201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2079, 7853, 17483, 30975, 48335, 69569?\nAnswer: 94683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -2, -7.3, -1\/10847?\nAnswer: -1\/10847","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-15))\/(4\/880). Suppose -6*x - 178 = k. Does 21 divide (-4)\/8 + x\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*w + 193 - 57 = 0. Suppose -5*d = -4*l - 1116 - 173, w = 2*l. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 441*c = 446*c - 970. Does 11 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 2500.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1506 and 720.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 13. Let i(f) = -f + 1. Let q(d) = d + 3. Let y(c) = 4*i(c) - q(c). Give y(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 0*r**2 + 0*r**4 - 6\/5*r**5 + 2*r + 1 + 0*r**3. What is the derivative of i(b) wrt b?\nAnswer: -24*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*r - 3*r + 0*r + r - 2 + 2 + 2*r + r - r + (5*r + 0*r - 3*r)*(-2 + 3 - 3) + 22 - 13 + 28 + 2*r + 9*r + 5*r - 15*r.\nAnswer: 2*r + 37","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*k**2 + 2*k**2 + 9*k**2)*(2*k - 2 + 2) in the form s + w*k + m*k**3 + d*k**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, h: 3, q: 2, f: 1, u: 2, j: 2}. What is prob of picking 2 j, 1 f, and 1 h?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2*a = -204. List the prime factors of a.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 15, 5*x + 1 = 10*x - 3*g. Let w be x\/18 - 484\/(-99). Solve 0 = -w*f - 19 - 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - -2)*(-2)\/(-12). Let o be 4472\/(-731) + 1*6. Which is the closest to -1\/2? (a) -1 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 35849, 73588, 111327, 149066, 186805?\n\"Answer: 37739*x - 1890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*i**3 + 162*i**2 - 162*i**2)*(-2 - i + 2) - 2*i**4 - 1 + 1.\nAnswer: -16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (-8 - (12 + (-14 - -8))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4*u. Let r(d) = -77060*d**2. What is r(w(f))?\nAnswer: -1232960*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 110?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 10 = -35. Let z be l + (-180)\/3 + 5. Let f = 76 + z. Solve 3*n = -r + f, 2*n - 12 = -2*r - 0*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -146*s - 113322. What is r(-776)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1321 (b) -0.1 (c) 6 (d) 3 (e) -14\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 473 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1130, 5, 106768 in descending order.\nAnswer: 106768, 5, -1130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/12 - 692\/70. Let k = 113\/28 + g. What is the common denominator of k and 46\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -343*o**4\/4 - 26*o - 56. Let h(y) = -3*y. Determine h(u(r)).\nAnswer: 3087*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1766 - 1403*f**3 + 23*f**2 - 3180 - 48*f**2 + 23*f**2 wrt f.\nAnswer: -4209*f**2 - 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 869*c**5 - 225*c**2 - 3 wrt c?\nAnswer: 52140*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 518515\/34 + -15248. Calculate the common denominator of 53\/3 and d.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.4, 0.3, -3, 2\/9, 0.55?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(42)\/(sqrt(24)\/sqrt(4)))**2*6.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + k - 15 = 0. Suppose 4*n - 105 = 3*j - 136, n - 2*j + 14 = 0. Is 26 a factor of 1 + n - k - -52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/34713692 and -149\/78.\nAnswer: 104141076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, -26, -119, -238, -377, -530, -691, -854?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2766.\nAnswer: 2, 3, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-3)\/l*l*l)**(4\/7)\/((l**17\/l)\/(l\/(l\/((l**(1\/37)*l)\/l))*l)) assuming l is positive.\nAnswer: l**(-4026\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 393.\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*j + 46 + 5, t - 11 = -j. What is the units digit of (-1)\/(j\/476)*-5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/6 and -45\/575812.\nAnswer: 1727436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 + 4*p - 3. Let f be o(-5). Let j be 5 + (3 - (4 - 0)). Suppose 4*q - f*h - 48 = -0*q, j*h - 30 = -q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, v: 2, u: 4, n: 2}. Give prob of sequence nufu.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (5 - (-5 + 23)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**2 - q**2 + 4*q**2 + (7 + 4*q**2 - 7)*(-23 - 2 + 1).\nAnswer: -94*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1438 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18040 - 10372. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37746 equal to -37745?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, -0.3, 4\/11, 1\/2 in descending order.\nAnswer: 1\/2, 4\/11, -0.3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r**3 - 6*r**2 + 2*r - 1. Is u(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 345330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 235452 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: Simplify (g\/(g\/g**(1\/2))*g\/(g\/(g*g*g\/g**(-3\/11))))\/((g*g*((g**(-18\/5)*g)\/g)\/g*g*g*g)\/(g*g**(1\/11))) assuming g is positive.\nAnswer: g**(491\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) -4 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 538341077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2 = 2. Let v = 5.6 + -5.5. Which is the closest to j? (a) 0 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/26 + 100\/(-26). Does 3 divide (-4)\/6*48\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*r + 15. Suppose r*y - 5 = 7. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 0 + (sqrt(2) - sqrt(32)))**2.\nAnswer: 24*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 45, 3, -446, 8.\nAnswer: -446, -4, 3, 8, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + o. Let c(t) = 2*t**2. Determine v(c(a)).\nAnswer: 4*a**4 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1074, 1075, 1076, 1077, 1078?\nAnswer: 1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -107 + c?\nAnswer: -ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 243?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 6396, 6395, 6394, 6393, 6392?\n\"Answer: -g + 6397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 400.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*b = -14*b + 8. Suppose b*a - o - 404 = o, -a + 98 = o. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-32))\/(6\/8)*-1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.774 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5, 7, 19?\n\"Answer: 12*o - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 4*y - 2745. Suppose 4*f + 103 = -y. What is the tens digit of -21*f\/9 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7829 is divided by 54.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/36 - (-528704)\/36. Suppose 5*g - p = 19814. Round g to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -6, -13, -34, -75, -142, -241?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**8)\/(p*p\/(p*p**(6\/7))) assuming p is positive.\nAnswer: p**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 32.20522 tonnes?\nAnswer: 32205220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1215 + -0.12. What is r rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 342840312?\nAnswer: 2, 3, 167, 28513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -10. Suppose 56 = t*p + 3*p. Solve 0 = -4*w + p*c + c - 26, 3*w - 2*c = -16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 288*l**6 + 57760*l**5 - 16*l - 57760*l**5 + 8*l**2 wrt l?\nAnswer: 34560*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 203*q**3*x**2 + 6*q**3*x + 2*q**2*x**2 - 152*q**2 wrt q.\nAnswer: 1218*x**2 + 36*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**2 - b + 11. Give z(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 4. Let n(u) = 5*u - 6. Let i be n(o). Let t = i + -14. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 - 2 = 8*n. Suppose -2*z + 16 = -4*d, -n*d + d - 10 = z. Solve h - 11 = z*x, -5*x + 4*h = 26 + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1884\/30*9805\/74. What is the greatest common factor of 106 and t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-6) + (-22)\/6. Let t be (6\/(-8))\/(w\/(-36)). Let r be (-5)\/12 + (-6)\/t. Which is the biggest value? (a) 1 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -37, 4, 109\/108?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00228 rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 701*r**2 + 6*r - 5. Is 18 a factor of j(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775 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: Which is greater: 331468\/11 or 30132?\nAnswer: 331468\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 260 = 272. Let t = -210 - m. Round t to the nearest 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6476 - -0.6476. Which is the nearest to 1\/2? (a) 19\/5 (b) z (c) 0.5 (d) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4*r + 2 - 3*r + 0 + 5*r**4 as i*r**3 + p*r**4 + s*r + x*r**2 + t and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 - 67*h. Let o(i) be the third derivative of -i**4\/12 - i**2 - 613*i. What is m(o(g))?\nAnswer: 16*g**2 + 134*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3))**(-4)*(p*p*p\/p**(1\/3))\/(p**0\/p) assuming p is positive.\nAnswer: p**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -53253, -106599, -159945, -213291?\n\"Answer: -53346*v + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (4 - (0 - -8)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 119, -5, -4, 4.\nAnswer: -5, -4, 4, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a minute in seconds?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(2000)*3 + sqrt(2000) - sqrt(2000) - 2*(sqrt(2000) + (sqrt(2000) - sqrt(2000)*2)))\/((sqrt(2560) - (sqrt(2560) - 1*sqrt(2560)))*6 + sqrt(2560)).\nAnswer: 15*sqrt(2)\/56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 8 + 8)*(-7*i**2 + 40*i**2 + 13*i**2) + (-2 + 5 - 2)*(0*i**2 - 3*i**2 + 4*i**2) + 0*i + i**2 + 0*i.\nAnswer: 232*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1933 + -1.8067. What is the nearest to -0.1 in q, -5.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 1:49 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26, -35, -44, -53, -62, -71?\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-1 + sqrt(19))*5 - (-5 + sqrt(19) + (-2*sqrt(2299) + sqrt(2299))**2).\nAnswer: -2269 - 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-44 - 9 - 25)*(-1 + 3 + 0)*(-t + t - 3*t).\nAnswer: 468*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/(3\/14 - 0). Let n = -87\/2 - j. Let p = -44751 - -44752. Sort 2\/25, p, n.\nAnswer: n, 2\/25, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8907 + -3.\nAnswer: -8910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -a3954618?\nAnswer: -a3954614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -3.4. Let v = x - 0.5. Let u = -15.14 - -18.14. Which is greater: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -197\/210 and 32\/245.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/3 - 36\/(-54). Suppose 3*k = 6 - h, -4*o = -2*k - 408. Let u = -99 + o. Sort 4, 0, -3, u in decreasing order.\nAnswer: 4, u, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((30\/75)\/((-3)\/(-1)))\/((-3)\/30). What is the fifth biggest value in 0, g, 0.33, -4, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpdvdsrhhsh. What is prob of sequence rhd?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 v, and 1 b when three letters picked without replacement from cchzbzqvq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3104932703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -5, -19, -43?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1005, -2060, -3173, -4350, -5597, -6920?\n\"Answer: -w**3 - 23*w**2 - 979*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7744, -7715, -7624, -7459, -7208, -6859?\nAnswer: -6400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 - 9*n**2 + 10*n - 6. Let t be x(8). Let d = t + -1. What is the remainder when d is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 0*k + 8*k - 19 - 7*k - k**2. What is b(0)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oqu when three letters picked without replacement from kuckkuuqqkkookq?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-1 - 1) + 0 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 3)\/(866\/1299). Sort 10, 5, 6, h, -5 in ascending order.\nAnswer: -5, h, 5, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1067, -2166, -3347, -4652, -6123, -7802, -9731?\nAnswer: -11952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 8504216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21192 is divided by 1432.\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8 + 0 + -1)*406\/42. Let c be 5\/25 + s\/(-15). Solve 0*j - c = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/4 (b) 1\/7 (c) 6 (d) -3 (e) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4361848289?\nAnswer: 4361848289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-49 - -47) + (1 - -2) + 5 - -6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-18) - 2\/9. Suppose -y = -w*y. Suppose 3*h - 3 = -y*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/324 and 43\/23824044.\nAnswer: 23824044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/2598 and -31\/1299.\nAnswer: 2598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8141\/1649 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/2 - (18 + -1). Let x = 23 + y. Is -3 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*v - 7, b + 5*v - 6 = 17. Let n = b - 8. Let u = 10 - n. Solve 2*r + 12 = -2*r, -2*t = -u*r - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*l + 17 + 13, -5*l + 3*v = -5. What is the smallest common multiple of 3 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (6 - 10) + (-476)\/(-34)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven fifths of a milligram in micrograms?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*x - 41. Calculate the highest common divisor of x and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1020 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-5)\/((-60)\/(-6))*1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 516168?\nAnswer: 2, 3, 67, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.137 times -52538?\nAnswer: -7197.706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 355*a**2 + 232*a - 1837. Is v(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6340.47049 rounded to the nearest 10?\nAnswer: 6340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/(-33)*(-9023)\/7734.\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.77 - -0.23. Let z = -7.7 + j. What is the third smallest value in z, -4, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k + 1. Give y(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 2*q**2 + 2*q - 2. Let h be 5 + -7 - (-4)\/(-2). Let x = -6 - h. Calculate r(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1042.2 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -35\/2*i**2 - 25\/2*i**3 - 15\/2*i - 5\/2*i**4 + 0 = 0. Calculate i.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1 + 71 = 0. Let x = j - 89\/5. Suppose 0 = -3*w - 3, -34*v = -37*v + 5*w - 10. What is the nearest to x in -2\/7, -2\/13, v?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*z + 11636 = 6*z, 3*z = -4*d + 11636. Is 4\/3 + d\/3 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 244 (b) 2 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d + 63. Let n be s(-10). Let w = -359839\/3420 + 11\/684. Let o = -1207\/10 - w. Which is smaller: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*q + 14*q - 2*c + 4, -2*q - 16 = c for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -16. Let a be -15*(-2)\/(j\/6). Let r = 60 - 15. Calculate the highest common factor of a and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 769 + -769. Solve 2*o + 10 = -d*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.4129?\nAnswer: 0.04129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 2.6, -2, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 43932 - -55039. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6799726 to the nearest integer?\nAnswer: 2608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 4:51 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 9*s + 5. Suppose -4*l + y = 36, -4*l - 24 = -y - 3*y. Let u(q) = -4*q - 2. What is l*u(h) - 4*m(h)?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1092\/13104*380\/(-15)\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 12:05 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 1640 = 4*k + 1663, 2*a + 4*k = -30 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2541 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1158226898 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2906 is divided by 620?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 521.4193nm?\nAnswer: 0.0005214193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688568 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v + 118*v = -115*v + 6510 for v.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184 and 53916738?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.675049 millilitres in litres?\nAnswer: 0.002675049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-28 + 38 + -40).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 2\/21, 6, -3.7, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 3*o + 3 = 4*j, 0 = 4*j + 5*o - 40. Suppose -3*h + 47 = 17. Let k be h\/2*2\/5. Sort j, 0, k in descending order.\nAnswer: j, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5*a**2 - 2*a - 2. Let x(f) = f**3 - 2*f**2 - 3*f - 3. Let m be x(3). Let p(z) = -5*z**2 - 3*z - 3. Calculate m*s(r) + 2*p(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 5390 and 2625 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6218 - 3112 - 3111 + 741*g + 1144*g in the form p*g + k and give p.\nAnswer: 1885","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12025379 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 5*i = -42 + 132, 0 = k - 4*i - 94. Let l = -16 - -36. Suppose l = 5*v, 2*b - 13 = -3*v + 19. What is the greatest common divisor of k and b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - 12. Suppose s = 4*z - 2*z - 5*f - 49, -z = 5*f + 13. Suppose -z*p + 15*p = 102. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/((-4)\/(-4) + 0). Let n be -4*(0 - 3 - f). Solve -4*o + 3 = -o - 3*c, -n*o - 2 = 2*c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-32))\/(4\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45897.92939 from -0.65.\nAnswer: -45898.57939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -1\/5, 2\/55, -0.06, 4 in descending order.\nAnswer: 4, 1\/8, 2\/55, -0.06, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/5394 and -149\/1044?\nAnswer: 32364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3052 is divided by 2393?\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 + 48. Calculate the least common multiple of 14 and l.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -329894*t**2 + 125702*t?\nAnswer: -659788","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, y: 11}. Give prob of picking 1 y and 1 a.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28818*n**3 - 12006*n + 12006*n.\nAnswer: 28818*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5913?\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*d = -18110506, 0 = -6*a + 2*d - 34338850 + 12606256. What is a rounded to the nearest 10000?\nAnswer: -3620000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -145*d + 7. Let p be (-16)\/(-72) - 76\/18. Is h(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) 0.2 (c) -2\/5 (d) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 10. Let s be j(-6). Let m(k) = -k + 1. Let p be m(s). Sort 5, -5, 0, p in decreasing order.\nAnswer: 5, 0, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xoqo when four letters picked without replacement from tqqooqotxonqobtttobb.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/399 and 41\/10089.\nAnswer: 70623","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 269 + -266. Let g(y) = 2*y**2 - 5*y + 3. Let q = 3 + 0. Let s be g(q). Put s, 0, j in decreasing order.\nAnswer: s, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -20 < -1\/94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*i - 2, 0 = -3*z - 2*i + 74. Suppose 2*n = 6 + z. Calculate the remainder when n is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8022580*b**3 - 19489345*b**2 wrt b?\nAnswer: 48135480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/9 + 970*j**3\/9 - 198400*j**2\/3 + 99703750*j\/9 - 5343760625\/9.\nAnswer: (j - 155)**3*(j + 1435)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j + 14. What is m(-11)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 0, 567*j + 2*z = 571*j - 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 45626*y - 3. Let d be i(6). Suppose 3*b = g - 2*g + 136869, -2*g = 3*b - d. Suppose g = 19*s - 40025. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35752822 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -4051 and -4051 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.59 + 39.59. Let r = -45 + c. Let t = r + 5. What is the closest to t in 0.3, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20377 or 20376?\nAnswer: 20377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1512786780 to the nearest integer?\nAnswer: 38895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 175 + -172. Let h be (10*(-1)\/u)\/((-2)\/3). Solve 3*o + 12 = -h*r, -2*r + 1 = o + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 5. Let i be 1*-3 - (386 - 390). Let g(j) = 1. What is i*t(k) + 5*g(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/7? (a) -0.3 (b) -2\/27 (c) -4 (d) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-2)\/(-4))\/(5\/20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -192 - -200. What is the lowest common multiple of 112 and j?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, x: 5}. Give prob of sequence wxx.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1539597)\/15 + (12 + -22)\/50. Round k to the nearest one thousand.\nAnswer: -103000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + 6*y - 6*y - 45. Let f be z(0). Let o = -29 - f. What is the remainder when 61 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -856265, -1712546, -2568827, -3425108, -4281389?\n\"Answer: -856281*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + 4*b**2 + b + 9839. Is a(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2*s - 4, -2*s + 12 = 4*a. Suppose 0 = -a*x + 3*x + 10. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 1, 0.5, 0.00176?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/1 + (8 - -1). Let t be (-3 - -2)\/((-1)\/9). Suppose -8*b + w*b = t. Solve -5*k - 2*i + 0*i - 5 = 0, i + 2 = -b*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -3*k + 63, 5*n - 229 = 5*k - 34. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 - 64 - 75)*(-1 - s**4 + 1) in the form r*s**2 + q + b*s + d*s**4 + p*s**3 and give d.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*i + 22, -4*i + 20 = 3*s - 12. Suppose 2*u**4 + 2 - u - s*u**4 - 3*u**2 + u**3 + 3*u**4 = 0. Calculate u.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**3 + 45*h + 17*h**2 - 97*h + 82*h**2 + 32*h wrt h.\nAnswer: -6*h + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3 - 18. Let r = -1.2 + 1.7. Let c = -1 + r. Sort 2\/11, m, c.\nAnswer: c, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 4*d - 55, -d - 3*h + 14 + 11 = 0. Suppose 0 = d*v - 3*v + 210. Let m = v - -114. Calculate the greatest common divisor of m and 56.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20905 and 37555.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**2 - 25*b. Let s(r) be the first derivative of r**2 + 22. Determine s(l(i)).\nAnswer: -8*i**2 - 50*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 3*u = -60. Let s = 30 - u. Suppose 5*h - 20 = 3*h. What is the highest common factor of s and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16013810 divided by 1601381.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153948417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f\/(f\/(f*f\/(f*f*f**(-2\/7)))*f)))\/f*f*f)\/f**(-1\/2))**38 assuming f is positive.\nAnswer: f**(855\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 975 and 19420?\nAnswer: 3786900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -20*t. Let f(d) = -7262*d**2 - 2. What is f(g(k))?\nAnswer: -2904800*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 1b5?\nAnswer: 1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 746666*1\/(4\/30). Suppose -6 = r - 1, r = 2*p + l. What is p rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2058 rounded to two decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1254 - 14*d - 7*d + 1258 + (3 + 1 - 6)*(7*d - 2*d - 3*d) to c*d + v and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 13521 - 1732?\nAnswer: 11789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 746, 1603, 2460, 3317, 4174, 5031?\nAnswer: 5888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5*((-126)\/(-45))\/7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74989580 divided by 12?\nAnswer: 18747395\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -22. Suppose -17*g + q*g = 12. Solve 0 = -4*j - g + 19 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 - 83. Solve -2*r - 3*r + p = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 15*w**3 - 29*w + 9. Let o(q) = 4*q**3 - 7*q + 2. Let i(u) = -18*o(u) + 4*v(u). Find the second derivative of i(c) wrt c.\nAnswer: -72*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4286724, -8573450, -12860176, -17146902, -21433628, -25720354?\n\"Answer: -4286726*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/2844 and 21\/22.\nAnswer: 31284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28\/3 - -9. Let f = 80.9 + -81.3. Which is the third biggest value? (a) 0.02 (b) 4 (c) f (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = x - 112, 0*q - 72 = -3*q - 3*x. Solve 2*z + 4*w = -0 - 2, 5*w = 4*z - q for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3703 and -834.\nAnswer: -308.8302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -98*k + 225. Give b(2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7877485307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-3024)\/384)\/(798\/(-9120))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78 divided by 283.\nAnswer: 78\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 17 + 105 = 2*u, -j + u + 67 = 0. Suppose -5*p + 216 + j = 0. Is p a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 475\/(-75) - (0 + -6)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 6*x**2 + 22*x**3 + 2*x - 2 - 5 - 21*x**3. Let u be i(-5). Suppose 5*r = -u + 103. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224 + -22232?\nAnswer: -22003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**14*n**(-24))**(2\/71) assuming n is positive.\nAnswer: n**(-20\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/3 - 88456*r**2 - 2934173976*r.\nAnswer: -2*r*(r + 66342)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 143a97a (base 11) to base 9\nAnswer: 4580832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 10:37 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 350768?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 529*i*x**4 + 57*i - 3*x**5 - 14*x**3 + 41*x**2 wrt x.\nAnswer: 12696*i*x - 180*x**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305?\nAnswer: 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4000*z + 60111. Determine d(-15).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -1. Let i = -3 + 2. Let q = -223\/38 - -1485\/266. Put t, q, i in descending order.\nAnswer: q, i, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (7 - (-32)\/(-4))*5. Sort 17, 19, g in decreasing order.\nAnswer: 19, 17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 19*m**2 + 42*m + 4. Let c be a(21). Suppose 0 = -i - 4*i - c*s + 86713, 5*i = -s + 86707. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.82 * -4305\nAnswer: 3530.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110115 (base 6) to base 7.\nAnswer: 35405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a + 1. Let i = 30 + -40. Let j = -6 - i. What is n(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 25. Let q(h) be the first derivative of 0*h**2 + 0*h + 49 + 2\/3*h**3. Determine n(q(z)).\nAnswer: 4*z**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 36*d + 8. Let a(w) = 12*w + 3. Let t(p) = 2*p**3 - 25*p**2 - 8*p - 68. Let j be t(13). What is j*n(s) + 8*a(s)?\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27.3 + -1.7. Let n = -72 - z. Let h = n - -42. Which is the closest to 4\/3? (a) -4 (b) h (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 186700000 to the nearest one million.\nAnswer: 187000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-3) + -1)*-51. Let d = 11 - k. Let z = -2 - d. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from gvmgaa.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 3*m**2 + 3*m - 1. Let w be n(1). Suppose -4*k - 20 = w, -8*k = -5*s - 4*k + 40. Solve 2*c - 17 = s*j - 5, -22 = 2*j + 3*c for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9526 is divided by 1356?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/11890 and -2\/8323.\nAnswer: 83230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -183 - -175. Let x(k) = 3*k**2 - 5*k - 15. Does 10 divide x(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, n: 2}. Give prob of picking 2 n.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 99 * -0.38.\nAnswer: -37.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3032 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -257?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/408 and 47\/1263.\nAnswer: 171768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(-26 + 19)*7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*f = -214, -q - 20*f + 218 = -16*f. Calculate the lowest common multiple of 8 and q.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2802.3684 months to decades.\nAnswer: 23.35307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 35*b - 3317, 131488*t - 131489*t + 4*b - 382 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*s - 9 = 0, -2*s = z + s - 3. Suppose 0 = -18*m - 16*m + 136. Which is the nearest to m? (a) 1 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hohpii. What is prob of sequence ohii?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -10*l**3 - l**2 + 1. Let d be q(-1). Suppose -d = -2*y + 38. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 10:40 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -164 + 163.87. Let k = -3.87 + v. Sort -2\/25, k, -5, -2.\nAnswer: -5, k, -2, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4*z**5 + 48*z**4 - 131*z**3 - 243*z**2 + 316*z - 84 = 0.\nAnswer: -14, -2, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370 a multiple of 118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 AM and 5:56 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/24010 and 73\/20580.\nAnswer: 144060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(832) + 2)*1 + 5)**2.\nAnswer: 80*sqrt(13) + 857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 24 = v, -5*v + 3*r - 37 = 18. Which is smaller: -104\/7 or v?\nAnswer: -104\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 122959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b = -2*k + 4, 0 = 3*b. Suppose 2*h + 33 = -4*u - 1, -k*u - 2 = -2*h. Let m be (u\/54)\/(3\/(-18)). Put m, -5, 1\/5 in decreasing order.\nAnswer: m, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from hllthghlthtgightthh.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*w**2 + 92*w**2 - 3*w + w - 3*w.\nAnswer: 10*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -85*g - 8120. Let h be r(-97). Calculate the greatest common divisor of h and 4275.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2006 + -5570?\nAnswer: -7576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -i - i. Suppose 4*h - 3*q - 28 = 0, 3622*h - 7*q = 3620*h + 14. Sort h, i, -2 in increasing order.\nAnswer: -2, i, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10580 + 11442. Which is the third biggest value? (a) 0 (b) s (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5819232*a + 5035112 wrt a.\nAnswer: -5819232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1827*d**3 - 630*d**2 + 945*d + 630. Let g(j) = -4*j**3 - 2*j**2 + 3*j + 2. Calculate -1890*g(b) + 6*i(b).\nAnswer: -3402*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1552?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -338738, -677464, -1016190, -1354916, -1693642, -2032368?\nAnswer: -2371094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(50)\/sqrt(5))\/(sqrt(32)*-6).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -6. Let l be 1*(6\/(-27) - (-3342)\/(-27)). Let m = 124 + l. Solve m*d - 3*d = q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 170, 223, 278, 335, 394, 455?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -515182.3477 to the nearest ten.\nAnswer: -515180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 30094 greater than or equal to -3\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -4. Suppose u = -x + 5*x - 520. What is x rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 5*q - 12. What is p in 3 + 8 - p - 2*p**2 - q*p - 5 = 0?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - j - 1. Suppose 16*f = -63*f - 158. What is x(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3*(sqrt(448) + -1*sqrt(448))*-2 + -5)**2*-2*4.\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 5*x + 10*y + 1, x - 4*y = -4. Put x, 24, -1, 4 in ascending order.\nAnswer: -1, x, 4, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 20 + -2 - 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 + -29. Let v(t) = t**2 + 4*t - 3. Determine v(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*h + 5. Suppose w = -h*w. Suppose -4*i + 22 - 6 = w. Solve -3*n = 5*j - 11, 4*n + 2 = i*j + 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*r + 87, -3*r + 101 - 14 = z. Suppose 358 = 3*p - 5*l, -37 = -p - 3*l + z. What is the tens digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 9*t + 18. Let j be x(13). Find the common denominator of 151\/42 and (-88)\/(-198)*(-1 - j\/28).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -25*u - 62. Let p(s) = 103*s + 249. Let j(q) = 9*d(q) + 2*p(q). Let i be j(-3). Put i, -6, 8, -5 in decreasing order.\nAnswer: 8, i, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2 + sqrt(17) + (sqrt(17) - (-6*-1*sqrt(17))**2) + 4.\nAnswer: -610 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -339.901 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.2001655 tonnes?\nAnswer: 200165.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -411*((-132)\/36 - -3). Which is bigger: -4\/21 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4 - 202*i + 72*i + 4 + 93*i. Let j(b) be the third derivative of b**5\/30 - 5*b**2. Determine j(u(c)).\nAnswer: 2738*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6\/5, 0.02, 1, 6.\nAnswer: -1, 0.02, 1, 6\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 6 = -3*h, 54 = 3*t - 3*h. Let b(i) = i**3 - 16*i**2 + 20*i + 16. Let c be b(15). Calculate the highest common divisor of c and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -4, 2, 8?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61.14 - -1.14. Let p = m + 61.91. Let t = p + 0.09. Which is the biggest value? (a) -3 (b) t (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3464, -3408, -3342, -3272, -3204, -3144?\n\"Answer: -n**3 + 11*n**2 + 30*n - 3504","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 20717*w - 3501157. Give m(169).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/(-16)*(3 + -721). Let a = 545 - w. What are the prime factors of a?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1407 (base 9) to base 16\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sbszzysszssszzssooso. What is prob of sequence ssyz?\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1649266?\nAnswer: 2, 41, 20113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 698057, 1395793, 2093529?\n\"Answer: 697736*r + 321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rkke when four letters picked without replacement from rkrwkehhu?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 641*h**4 + 10*h**3 - 12*h. Let l(g) = -g**4 - 5*g**3 + g. Let x(p) = -i(p) - 2*l(p). Find the second derivative of x(q) wrt q.\nAnswer: -7668*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence od when two letters picked without replacement from {o: 1, z: 1, d: 1, s: 1, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 101738, 202370, 303002, 403634, 504266, 604898?\n\"Answer: 100632*i + 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 < -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 8 + 11 = 0. Suppose -3*b + 3*d + 56 + v = 0, -5*d = -4*b + 105. Suppose -4*y = -5*u - 2*y + 126, -u = -3*y - b. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.085201 rounded to 2 dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.7 - 0.2. Let c be ((-3)\/2)\/((105\/(-4))\/(-5)). What is the closest to c in a, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from {i: 1, a: 1, c: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 672*q - 651*q - 210 = 0 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2593278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 21*f + 2 - 23*f)*(839 - 839 - 23*f)*(0*f - 5*f + 4*f) to the form y*f**2 + h + n*f + v*f**3 and give v.\nAnswer: -1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**3 + 762*r**2 + 9248*r - 244608 = 0.\nAnswer: -24, 13, 392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f + 25*f - 9*f - 4*f - 9*f. Let r(w) = 4*w - 4. Let z(c) = c + 1. Let o(s) = -r(s) - 4*z(s). What is x(o(v))?\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -261 in -1.2, 0.4, 445?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -182218316754586?\nAnswer: -182218316754586.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**3*s**3 + q**3*s**2 + 11*q**2*s**3 + 60*q*s**2 wrt s?\nAnswer: 12*q**3 + 66*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from ssnoodkddnknnsdk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*b**3*v - 6*b**3 + 2*b**2*v - 69*b - 2*v wrt b.\nAnswer: 24*b*v - 36*b + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(2 - 9\/6). Solve -2*i - 3*y + 11 = 0, -5 - 1 = -i - v*y for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -259986 * -0.3\nAnswer: 77995.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 139957305 a multiple of 3149?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**3\/5 + 182*g**2\/5 - 880*g + 11616\/5 = 0?\nAnswer: 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/11, 3.55, 35?\nAnswer: 3.55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -9. Suppose 3*m = 0, -2*a + 3*a - 5*m - n = 0. Factor 1\/3*d**a + 0*d + 0.\nAnswer: d**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 275393 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99537 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.497476521 to two dps.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*n + n + 11, 0 = 3*n + a - 1. Sort -3, n, -4, 1 in decreasing order.\nAnswer: 1, n, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*m = -136*m + 350*m - 170*m + 6222 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*y + 18 = -y, -2*v = -3*y - 16. Let l = -1 - v. Let m = -1\/54 - 35\/54. Which is the smallest value? (a) l (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 80*u + 29. Let t be v(2). Let q = 148 + t. Is q a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - (1 - 3) - -4. What is the common denominator of ((-46)\/24)\/(l + -8) and -19\/22?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 6 = -4*f, 3*l - 6 + 0 = 0. Let h(b) = -8 + b**f - 2*b**3 - 7*b**2 - 8*b + 15*b**2. Let g(y) = -y - 1. Let s(d) = 2*g(d) - h(d). Give s(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-3)*n)**48)**(-1\/13))**(-19\/2) assuming n is positive.\nAnswer: n**(-912\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 + x - x - 90*x**3.\nAnswer: -85*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 9 = -n - 3 + 6, 0 = -3*c - 5*n - 62 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyly when four letters picked without replacement from ymdlmdydydy?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/((33\/12)\/((-267)\/356)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6\/5)*j)\/(j*j**1)*j*j\/(j\/(j*j**(2\/7)))*j**(-1\/6)*(((j**(1\/4)\/j)\/j)\/j)**(-3\/38)*j\/(j**(-3\/7)*j)*j**1 assuming j is positive.\nAnswer: j**(24973\/15960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 14051, 13735, 12995, 11657, 9547?\n\"Answer: -29*a**3 - 38*a**2 + a + 14117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20 - -10)\/(0 - 1). Suppose -2*d + 74 = x. Calculate the greatest common divisor of d and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.4, -27\/31, -0.4, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(6\/5)*x**(-3\/22))\/(x**(-27)\/x*x*x**40) assuming x is positive.\nAnswer: x**(-1313\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x - 12 = -22*x. Suppose 6*q = q + 5*j - 20, -3*j + 16 = q. Let i be (q*2)\/((-10)\/(-20)). Solve x*z = i*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72b13 (base 12) to base 5\nAnswer: 14301312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwwllwlwplw. Give prob of picking 2 l.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 287918 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -261, -639, -1183, -1893?\nAnswer: -2769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**2 + 3*w - 3. Suppose -3*y = -y - 22. Let h(n) = -22*n + n**2 + y*n + 3 + 10*n - 2. What is -3*h(r) - j(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 783330000 rounded to the nearest 1000000?\nAnswer: 783000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 425*x**2 - 852*x**2 + 430*x**2 + 12*x. Let t(l) = -26*l. Determine p(t(o)).\nAnswer: 2028*o**2 - 312*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*sqrt(242))**2 - 4*(sqrt(242) - (-1 + sqrt(242))**2).\nAnswer: -132*sqrt(2) + 1214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 8*d**2 + 4*d + 6. Let g be 7*(-1 + 0\/(-6)). What is the remainder when 62 is divided by q(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 48 (b) -185\/4 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2)*(-3 + -97). Let i = -45 - -27. Let b be (i\/12)\/((-3)\/40). Calculate the greatest common factor of m and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -257 + -1?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 3 k when four letters picked without replacement from ugkukguuuugukuxuuuk.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**4\/7 + 514*g**3\/7 + 43154*g**2\/7 + 1139022*g\/7 - 3819492\/7 = 0. Calculate g.\nAnswer: -102, -79, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 2, -3\/2, -2, -9?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + 2 - 7 - 6) + (7 - 7) + -51?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1349, 1614, 2167, 3014, 4161, 5614?\n\"Answer: p**3 + 138*p**2 - 156*p + 1366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1446*g = -1455*g + 1512. Calculate the remainder when g is divided by 72.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1013?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37562 divided by -1.\nAnswer: 37562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-126) + (-1224)\/(-81).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -90 divided by 1\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5008405 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21517 + -12232. List the prime factors of d.\nAnswer: 3, 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/(-21) + (92\/(-28) - -4). Let g(m) = 141*m + 1. List the prime factors of g(y).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r = -14 - 26. Let q be r\/(-16)*(-8)\/1. Solve q*y + 0*y = -2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*j = -172*j + 295462. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.026 - 5.174. Let t = i - -9.3. Let v = t - 4. Which is the closest to 0.1? (a) -1\/2 (b) v (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236359.56 months in years?\nAnswer: 19696.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(180) - sqrt(180)) + -3 + (3*(-1 + sqrt(180)))**2.\nAnswer: -132*sqrt(5) + 1626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -37383794?\nAnswer: 4\/18691897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 9:44 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3134*m + 69596 - 69596 to the form f + l*m and give l.\nAnswer: 3134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: -14040431 (base 5) to base 3\nAnswer: -21021111020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 58*a**3 + 12*a**2 + 3*a - 5. Let t(s) = 29*s**3 + 6*s**2 + 2*s - 2. Let z(x) = 2*b(x) - 5*t(x). What is the third derivative of z(r) wrt r?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82034232 is divided by 4861.\nAnswer: 4857","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -1 + (195 + -169 - (-1 - -18)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -810 in 0.3, -17, -2\/13, -5, -0.14?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -31*w**2 - 2*w - 29. Let m(y) = -15*y**2 - y - 17. Let i(n) = 5*m(n) - 3*r(n). Calculate i(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196 divided by -4.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69625 is divided by 49?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14070, 64, 1, 3 in decreasing order.\nAnswer: 14070, 64, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 12:12 PM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, r: 4, e: 1}. Give prob of picking 2 l and 2 r.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 + 3 + -2 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 29, 25, 19, 11?\n\"Answer: -o**2 - o + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, -10, -196\/9.\nAnswer: -196\/9, -10, -0.5, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 927012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 501 + -501.3. Let q = -60 - -98. Which is smaller: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-38))\/(6\/(-309)). Let s = 1579\/95 + z. Let y = 3\/556 - 27277\/6116. Calculate the common denominator of y and s.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1107052, 1107633, 1108212, 1108789, 1109364?\n\"Answer: -l**2 + 584*l + 1106469","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 - 58*j + 230. Determine r(-13).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2.5 in -0.2, 4, -1.7, 0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*(3 + r - 3)*(9*r**2 + 13 - 13) as g + p*r + l*r**3 + d*r**2 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 7:03 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 6. Suppose 0 = -5*k + 59 + 351. Suppose -x*b + 2 + 3 = 0, -k = -2*t - 4*b. Is t a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2525363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**2)\/x*x**(4\/11))**38 assuming x is positive.\nAnswer: x**(-684\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 85 = 4*a - 7*b, -3*a + 60 = -3*b. What is the remainder when a is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/7 (b) 2\/11 (c) -8 (d) 18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + y**5 + 1 + (-2*y - 2*y + 5*y)*(-y**4 + 0*y**4 + 0*y**4) + 4*y**5 - 4*y**5 - 2*y**5 + 224 - 224 - 24*y**5.\nAnswer: -26*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 11*k - 9. Let f be c(10). Let j = -0.2 - -0.16. Let z = -0.44 - j. Which is bigger: f or z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -2*i + 26. Suppose -5*l + 2 = 4*o, o + 0*o - 13 = 5*l. Suppose i = o*t + 2*k, -2*k - 3 = t - 5*k. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 + 122*d**2 + 1176*d + 356. Let w be s(131). Let f = -4 + -34. Is f > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**2 - m. Let c be w(-3). Let g be 3\/(-2 + c\/(-12)). Suppose 0*x - 3*x + f = -60, 4*f = g*x - 80. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1631)\/(-21) + (-6)\/9. Let z = p - 49. Let x = -16 + z. What is the lowest common multiple of 4 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 - n**3 + 3*n**3)*(5*n - 4*n + n) + (2 - 2*n**2 - 2)*(0 + 0 - n**2).\nAnswer: 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**5\/3 - 1130*n**4\/3 - 49166*n**3\/3 - 248074*n**2 - 1437840*n - 2802600 = 0. Calculate n.\nAnswer: -519, -18, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 8:44 AM?\nAnswer: 8:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (-1 + -4) - -2. Solve -3*f + j = -2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 13*g**2 - 293*g + 290. Determine h(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 7*a + 1. Let s be m(-6). What is the biggest value in 3\/8, 21, s?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -45\/2*o**3 + 45*o - 1 + 149\/2*o**2. What is the first derivative of x(l) wrt l?\nAnswer: -135","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13878977 divided by 7\nAnswer: 1982711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cggcrggrg. Give prob of sequence rcgg.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -425, -1037, -1831, -2807?\nAnswer: -3965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24b15 (base 13) in base 7?\nAnswer: 401426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a60 (base 15) to base 13.\nAnswer: -41a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 = -48. Suppose 4*t + 9 = b. Let g = 1 + t. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 5. Let p(u) = -u + 8. Let x(a) = 3. Let r(s) = 1. Suppose -4*j - 9 - 11 = 0. Let w(i) = j*r(i) + 2*x(i). Calculate d*w(q) + p(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 76 + 58 = 0. Which is the smallest value? (a) -3 (b) q (c) -2 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 + 22*n + 54*n - 102*n + 17*n.\nAnswer: -3*n**3 - 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from {l: 6, o: 3, w: 5, s: 3}.\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*o + 5. Let f be ((-9)\/36)\/(1\/8). Let z be f\/(-12)*(-8)\/(-6)*-1. Which is the fourth biggest value? (a) 0.5 (b) o (c) 2 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 1288*x + 0 - 18 + 1750*x. Let a be d(11). What is a rounded to the nearest 1000?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13088*s**2 - 42709*s**2 + 84440*s**2 as r*s**2 + m + d*s and give r.\nAnswer: 28643","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 129 - s - 129 + 3*s. Let k(m) be the first derivative of -m**6\/120 + m**3\/3 + 2. Let v(b) be the third derivative of k(b). What is v(u(p))?\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69676?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 - 115*u - 1. Let w be y(0). Sort -7, -3, 3, w.\nAnswer: -7, -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3012 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -3*i**4\/8 + i**3 - 15. Factor l(f).\nAnswer: -3*f**2*(f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24147824 is divided by 8049260?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 72*o*u + 2*o - 4*u - 21 wrt o?\nAnswer: 72*u + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37183908 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmcf when four letters picked without replacement from {m: 2, f: 3, c: 3}?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 586186324?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*4\/(-30))\/(1246\/213066).\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 = -10. Suppose 0*s + 10 = 2*s. Suppose m - s*m = -12. What is the least common multiple of m and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.045122567 rounded to 2 dps?\nAnswer: -23.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*c + 9 = 3*g + 54*c, 0 = 3*g + 2*c - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159452 is divided by 151.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(3) + sqrt(3) + (sqrt(75) + sqrt(3))*3 - sqrt(3)) + 3)**2.\nAnswer: 342*sqrt(3) + 3276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a. Let o(w) = 221172146*w. Give o(r(y)).\nAnswer: -221172146*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {a: 3, w: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 22*b**2 + 912*b - 102. Give z(21).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181275.78 hours to weeks.\nAnswer: 1079.0225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 times 48439.048?\nAnswer: -3390.73336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d + 33. What is l(-9)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/6981704 and 75\/1106.\nAnswer: 48871928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 226.6259mm in kilometers?\nAnswer: 0.0002266259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 181?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -12*q + 22. Let j be k(14). Let g = 307 + j. Is 23 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536*l + 98404 = 77*l - 889*l for l.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 + (24\/(-5))\/(1\/(-5)). Suppose -b + 7*b = g. Solve -z + 2 = -b*z - 2*k, -z - 18 = 5*k for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4050745 divided by -5\nAnswer: 810149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -j**4\/2 - 5*j**3\/6 + 8*j. Find the second derivative of k(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/45 + (-20)\/(-9). Suppose l + c*q - 10 = 0, -4*l = -q - 4*q + 12. Solve l*w + 2*w = 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/3 - 14*y**4 - 76*y**3\/3 = 0.\nAnswer: -19, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -11*y - 6. Let s be 1 - 0 - 196\/y. Calculate the highest common factor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s - 40. Let i be k(15). Suppose 2*r - 41 - i = 0. Suppose 2*o + r - 67 = 0. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34013 and 2825?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1065 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 97, 93, 89, 85?\n\"Answer: -4*s + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-3)*(12 + -15). Let q be 1 + 1 - -4*u. Let a be (-4)\/q - 36\/(-15). Solve 5*d - 2*d + y + 12 = 0, 2*y = -a*d - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 5:15 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7052032 litres in millilitres?\nAnswer: 705.2032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 e when two letters picked without replacement from dzzzzeelzzselezz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -459440*q**2*s**2 - 2*q*s**2 + q*s + 6*q - 560*s**2 wrt q.\nAnswer: -918880*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**3 + 205865*m**2 - 2113967215*m - 104079263645 = 0. What is m?\nAnswer: -49, 20611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 9.885148 days?\nAnswer: 854076787200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from djjduduuudduj. Give prob of sequence djj.\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31182.\nAnswer: 2, 3, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyc when three letters picked without replacement from {y: 1, c: 7}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lrrnnrllnvn. What is prob of sequence rl?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 3*n - 4 - 51*n**2 - n**3 + 7 + 58*n**2 + 6. What is the remainder when 204 is divided by r(4)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 67 + -120. Let s = a - -58. Suppose 5*w - 6*z - 361 = -3*z, -5*w = s*z - 345. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95 (base 13) in base 8?\nAnswer: -172","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 4. Let q(j) = 8*j + 1. Let t(n) = -18*n - 2. Let p(x) = 5*q(x) + 2*t(x). Let f(g) = 2*g + 1. Suppose l + 4*l - 25 = 0. Determine l*f(m) + r*p(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 divided by 261676?\nAnswer: -27\/261676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 8. Let m be g(4). Let b(k) = 6*k**2 - k + 8. Let l(t) = 5*t**2 - t + 7. Let x(r) = -4*b(r) + 5*l(r). Give x(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*g - 4. Suppose -2*q + 14 = 20*l - 16*l, 4*q - 19 = -5*l. Factor -2\/7*m**l + 0 + 0*m**g + 2\/7*m.\nAnswer: -2*m*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 737217 - -26?\nAnswer: 737243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**5 + 3*v**4 - 3*v**4 + (6*v**4 - 2*v**4 - 2*v**4)*(4*v - 2*v + 0*v) + 12*v**5 + 9*v**5 - 37*v**5 + 4*v**5 + 9*v**5 - 4*v**5.\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - r + 5 = -0*r, q = 4*r - 5. Let p be (-4)\/(-6) + 16\/q. What is the second derivative of -p - 2*c**2 + 6 + c wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 383420 and 81320.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 182 and 1287664?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 13) in base 9?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45141\/(-52398) + 4 + 846\/(-213)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2245 = 4*l + a, -5*l + 3*a + 4070 - 1268 = 0. Let i be (-44)\/l*(22\/(-4) + 1). What is the second biggest value in i, -0.2, -5, -3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 22\/4)*63\/(3465\/(-638)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 6:40 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7*i = -5*f - 35, 0 = -i + 3*f + 11. Suppose 0 = -3*n - 3*m + 33, 17 = 4*n + 2*m - 35. Calculate the lowest common multiple of n and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525864 is divided by 87354?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19521 is divided by 278.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 - 4*p - 11. Determine f(-8).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119505900 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -15, 4, 17542 in increasing order.\nAnswer: -15, -1, 4, 17542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**1)**(8\/5)*(c**(-1)*c*c)**(3\/19) assuming c is positive.\nAnswer: c**(3\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 11:04 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 478651 is divided by 864?\nAnswer: 859","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -4, 8 in decreasing order.\nAnswer: 8, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 270776187?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -248811 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/14 + (-661)\/112 and 3 + (-1 - (-155)\/(-50)).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 + 96. Is (-2)\/(-11) - (-5109)\/b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 629295550*d**4 + 886000277*d**2.\nAnswer: 15103093200*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 21*p**2 - 87*p - 437. Give s(-19).\nAnswer: 1938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 7*p - 6. Let o(h) = h + 1. Let j(i) = n(i) + 5*o(i). Give j(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 10, -2*u = u + x - 4. Solve u*l + 11 + 2 = 3*j, 0 = 4*j + 5*l + 21 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -39. Sort h, -3, -4 in decreasing order.\nAnswer: -3, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4 - -1)\/(-1) + -104 + 100. Is v >= -6\/3769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 346 + 4515. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 6 (b) -5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -45586 take away 641?\nAnswer: -46227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**4 + 15*x**3 - 11*x**2\/2 - 390. Factor s(n).\nAnswer: -n*(n - 11)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 692 - 398. Let c be z\/9 - (-14)\/(-21). Let h = c - 23. Calculate the greatest common factor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -15. Let z = b + 6. Is z + (-4)\/(8\/(-26)) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16423446587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*l + 31, l = -5*y + 25. Calculate the remainder when 5097 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**28))\/((h**(-1\/15)*h)\/h))**(-39) assuming h is positive.\nAnswer: h**(-5473\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-6) - (-1 + 1). Let n = 30.76 + 0.24. Let a = n + -31. Sort t, a, -3.\nAnswer: -3, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 53767 + 3*z**2 + 3*z**2 - 53765. Let c(p) = p**2 + p. Determine 2*c(d) - k(d).\nAnswer: -4*d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 648\/(-1188) - (26\/880 + 5\/(-25))\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 5052*u**2 + 4. Is j(-1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -5*o + 278 - 238, -10*m - 3*o = -52 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7613 rounded to 2 dps?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gaaa when four letters picked without replacement from agzzzgazgazzz.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**4 - 812088*v**3 - 18705*v + 30.\nAnswer: 12*v**2 - 4872528*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35611 is divided by 4971.\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14.6 + -13.63. Let l = 1.03 + -1. Let c = l + d. Is c at least as big as -0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l**4 - 26676*l**3\/5 + 5820174*l**2\/5 - 36049164*l\/5 - 4746105 = 0.\nAnswer: -3\/5, 7, 247, 1525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4*((-3 + (sqrt(208) - -2*sqrt(208)) - (sqrt(208) + 0 + sqrt(208) + 3)) + 3))**2.\nAnswer: -416*sqrt(13) + 3497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-35))\/((-34)\/1). Suppose -2*l - 4*z + 26 = 0, -81*l + z = -85*l + 3. Put l, d, 3 in ascending order.\nAnswer: l, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15334*r - 15278*r + 203 + 3325 for r.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1655, 3297, 4931, 6551, 8151, 9725, 11267?\nAnswer: 12771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.44 + -0.06. Let v = y - -3. Let d = v - 0.4. Which is the nearest to d? (a) -2 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -194, -377, -560, -743, -926, -1109?\n\"Answer: -183*b - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b**2 + 6*b + 1. Let o be f(-4). Let d(p) = -p + 11. Let j be d(o). Find the third derivative of -v**5 - 3*v**j + v**3 + 4*v**3 - 5*v**3 wrt v.\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2556*s**2 + 1282*s**2 + 1276*s**2 - 14*s + 0*s + 14*s.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -8937045?\nAnswer: -2\/2979015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(10)\/sqrt(2)*-1 + sqrt(5) - sqrt(245)*1) + -3)**2 + ((sqrt(250) + sqrt(250)*1)\/sqrt(5))\/(sqrt(50)\/sqrt(45))).\nAnswer: 288*sqrt(5) + 1524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16198 is divided by 139.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-60)\/36*3 - 54\/(-12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -1\/2, 4, -16, 3 in decreasing order.\nAnswer: 4, 3, -1\/2, -7, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 44 - 92. Let n = d - -130. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48 - -8. Let h = -40.1 - a. Is 1\/3 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h - 5*q - 6 = -47*h - 8*q, 0 = -2*h - q for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**4 + 2*w**4 - 4*w**4)*((-5 + 4 - 1)*(-6 + 1 + 3) + 0 + 2 - 1 + 3428 + 2615 - 5397).\nAnswer: 651*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 1 + 19. Suppose -5*x - 125 = -2*x + 4*a, 4*x = -3*a - 162. Let p = u - x. Calculate the remainder when 55 is divided by p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 40 = -0*a. Let s be 3*(-6)\/27 + 258\/9. Suppose 0 = -5*t + 3*t + s. Calculate the least common multiple of a and t.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25676?\nAnswer: 2, 7, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 2451?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01809 times 1?\nAnswer: -0.01809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes before 2:31 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-1) + (-12)\/6. Let d = q + 0. Calculate the least common multiple of (-6)\/9*d - -4 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -190, -448, -800, -1240, -1762, -2360, -3028?\nAnswer: -3760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**3 - 3*a**3 + 2*a**3.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3\/2)\/((-3)\/6). Let w(f) be the third derivative of -f**4\/24 + f**3\/6 + 2*f**2. Calculate the smallest common multiple of 8 and w(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5 = -2*h. Let o be 2\/(-5) + (-168)\/30. Which is smaller: o or h?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -6, 1, 8, 15, 22, 29?\n\"Answer: 7*y - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 11*d**2 + 12*d - 7. Let z(u) = -3*u**2 + 8*u - 12. Let h be z(4). Let g be (9\/2)\/(14\/h). Is o(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, i: 1, p: 2}. What is prob of picking 1 p and 2 i?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 704*x**2 + 3. Let q(v) = -72512*v**2 - 308. What is 308*p(b) + 3*q(b)?\nAnswer: -704*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 9*p + 25. Let g be l(11). Factor -4\/9*n - 8\/9*n**g - 14\/9*n**2 + 2\/9.\nAnswer: -2*(n + 1)**2*(4*n - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-810))\/((-792)\/1485*2\/(-8))\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069173.\nAnswer: 3, 7, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.9384 nanograms to kilograms.\nAnswer: 0.0000000000039384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 2*l. Let t be f(2). Let z = 4 - t. What is the remainder when 45 is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(171) + -3 + sqrt(171) - -2*(1 + sqrt(171)))*6)**2 + 1 + 1.\nAnswer: -864*sqrt(19) + 98534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 20*i**2 + 20*i.\nAnswer: 5*i*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+-5040921569.2\nAnswer: -5040921568.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 6 - -9)*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 - 60. Suppose -f*h = 3*p - 225, -4*h + 699 - 199 = -4*p. Does 40 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a year?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the second derivative of p**4\/2 - p**3\/6 + p**2 - 4*p - 15. Give f(2).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7748602 milligrams to nanograms.\nAnswer: 774860.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*r**4 - 193*r**2 - 29280*r wrt r?\nAnswer: 36*r**2 - 386","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 139b + 1?\nAnswer: 139c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 b when three letters picked without replacement from bbbdbbbdbb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 123477786 and 1730997?\nAnswer: 370433358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 15*z**2 - 2*z - 19. Let o be t(-15). Suppose 0*n + 21703 = o*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.27372 to the nearest integer.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((154176\/160)\/(-22))\/(108\/180)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 88\/3970495?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.31 (b) -2 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12111 (base 4) in base 3?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12d7 (base 15) in base 8?\nAnswer: 7673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 22212?\nAnswer: -22211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 60*u**3*y - 6*u**2*y + 9241*y with respect to u.\nAnswer: 180*u**2*y - 12*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1 + 2 + sqrt(19) + sqrt(19)) + 2*sqrt(95)\/(sqrt(5) - sqrt(20)))**2*6.\nAnswer: 720*sqrt(19) + 16566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 223 + (-11 - (-7 - -131)).\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 719?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37979088 is divided by 45.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 2 r when four letters picked without replacement from {r: 7, h: 7}.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1026*s + 1655. Let u(q) = 1026*q + 1652. Let h(f) = 4*m(f) - 5*u(f). Differentiate h(z) with respect to z.\nAnswer: -1026","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7.571495 millilitres?\nAnswer: 0.007571495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12*w + 4. Let c be v(2). Let s(i) = 15 - c + 27*i**3 + 10. What are the prime factors of s(2)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c - 5. Let b = -3933 - -3932. Let d(l) = -1. What is b*x(v) + 6*d(v)?\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oobb when four letters picked without replacement from {o: 7, b: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1 - (-10 + -11 + 20)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 3*v)*(0*v + v - 5*v) - 4*v**2 + 5*v**2 - 3*v**2.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 787 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1255908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y - 5. Let a be g(-6). Let t = 16 - 15.9. What is the closest to a in t, -1\/5, 2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/380 and -81\/418.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -12*a - 5. Let r be b(-5). Differentiate r*o**2 - 62 + 91 - 17*o**2 wrt o.\nAnswer: 76*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/725594 and 31.\nAnswer: 725594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*p**3 - 57*p + 57*p + (2 + 2*p - 2)*(3*p**2 + 10*p**2 + 3*p**2).\nAnswer: 63*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7955 + 7823 = 11*t + 11*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 21*f**2 + 9*f**2 + 152*f - 150*f)*(1 + 1 - 3).\nAnswer: -30*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -726200 to the nearest 100000.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p - 5*p - 4*p)*(0*p + 4*p - 5*p) - 723*p**2 + 313*p**2 + 64*p**2.\nAnswer: -340*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2634, -5290, -7974, -10698, -13474, -16314, -19230?\nAnswer: -22234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -229 + -55?\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 9:20 AM?\nAnswer: 6:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**4\/7 - 12*v**3 - 1382*v**2\/7 + 672*v - 3240\/7 = 0.\nAnswer: -15, 1, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(70) - -3*1*sqrt(70))\/(sqrt(1210) - (sqrt(1210)*1 - sqrt(1210) - sqrt(1210))) - 3*(-3 + sqrt(140)\/sqrt(5))))**2.\nAnswer: -10368*sqrt(7)\/11 + 346257\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(108)*-6*1 + 1)**2*-5.\nAnswer: -4374005 - 5400*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8070 - -8067. Put w, -18, 3, -7 in decreasing order.\nAnswer: 3, w, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/((-18200)\/(-105)))\/(3\/(-120))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -9*q - 1. Let k(z) = 17*z + 3. Let n(f) = 11*h(f) + 6*k(f). Let j be n(-4). Sort j, -3, 0 in ascending order.\nAnswer: j, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -7*c - 1. Let p(x) = -8*x. Let w(a) = -7*f(a) + 6*p(a). Suppose y = -0*y + 5. List the prime factors of w(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7603, -8026, -8445, -8860, -9271?\nAnswer: -9678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i be (10 + -18)\/((-1)\/(-2)). Let m = -17 - i. What is the units digit of (-3)\/m*7\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + n + 26, -392*o + 4*n + 44 = -391*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11952 + -11908. Suppose -m + 4*y + 22 = -6, -3*m + 77 = -5*y. What is the remainder when w is divided by m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 14*k**2 + 10*k + 28. Let c be (-3 - 1) + 15 - -1*2. Let m be s(c). Suppose -5*y + 1 + 4 = 0. Put 0, y, m in increasing order.\nAnswer: m, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wmmjjmmjjmm. Give prob of sequence wm.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (411\/(-9) - 3)\/(2\/(-3))?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 5*z + 2*y, -2*y - 1 = 5. Let u(s) = -s**2 - 8*s + 2. Let d be u(-5). Let n = d - 8. What is the remainder when z is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*w + 6. Suppose 2*z - 50 = -d, d - w*d + 95 = 3*z. Let h = 59 + d. What is the highest common divisor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 597 = -5*y, 0 = y - t + 25 + 93. Let k = 1069\/9 + y. Is 0 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/15 and -47\/3495.\nAnswer: 3495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -806.4745 to 1 dp.\nAnswer: -806.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 6*y + 6. Suppose 4*f - 26 = -3*h, -4*h + 28 = f + y*f. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*b - 20*b + 39835 = 7037. What is the greatest common factor of 184 and b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2815 and 172320?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 162269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u + 4, m - 5*u + 2940662 - 17120632 = 0. Suppose -n + m = 2*h, 2*n - n = 4*h + 14180020. Round n to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2016\/188513?\nAnswer: 2016\/188513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.4 from -15227.\nAnswer: -15227.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/4770 and 53\/55?\nAnswer: 52470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 5*b + 4. Let k be u(-3). Let d = 15 - 18. Let w = d - k. Let i(f) = -3*f**3 - f**2 - 6*f. Let a(n) = -n**3 - n. What is w*i(g) + 4*a(g)?\nAnswer: -g**3 + g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 11 - 8 + (-3 - 2 + 3)*(-1 + 3 - 1) - 5 + 0 + 3)*(-4 + 1 + 5)*(d**2 + 5*d**2 - 4*d**2) to the form w*d**2 + o + m*d and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q + 5 = 5*z - 33*q, q + 7 = 3*z. Solve v - 5*n = -17, -2*v + 31 = z*v + 4*n for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/12 - (-12 - (-342)\/27).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*r - 111 = 0, 5*r = 4*g + 204 - 56. Let s = g - -149\/4. Let v be (-6)\/(-8) - 5\/4. Which is the nearest to v? (a) s (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/23835424 and 79\/6.\nAnswer: 71506272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r + 6*r**2 + 0*r + 35*r**2.\nAnswer: 41*r**2 + 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-2)\/(-10)*10\/(-42)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -4, 721, 0.5, 0.2 in descending order.\nAnswer: 721, 0.5, 0.2, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-14035)\/91)\/(-5) + (-328)\/(-2132)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*p + 27, 2*p + 8*n = 3*n + 21. Let x(r) = -r + 33. Let t be x(p). What is the greatest common divisor of 60 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 907935*u**4 - 908257*u**4 + 0 + (1 + 1 - 3)*(3*u**4 + u**4 - 6*u**4) to the form g + s*u**4 + l*u**3 + v*u**2 + y*u and give s.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 552841145 divided by 110568229.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*h - 3*m - 20, h - 5*m + 5 = 0. Is 4 a factor of h\/(-6)*(-36)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9 + 6*n - 8 - 16. Calculate the remainder when -1 - -54 - (0 - 0) is divided by g(10).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 351480 and 300.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 47*y**3 + 23*y**2 - 22*y - 2. Determine l(1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-12)*6\/2. Let r be 1255*-3*4\/(-12). Suppose -4*p + t + 5013 = 0, u*t + r = p - 0*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80, 53, 21, -17.\nAnswer: -17, 21, 53, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-nine halves of a year?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1296 - 37588\/29. Is o > 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1017792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (70\/(-49))\/(30\/(-84)). Solve i - 6 = p - 2*i, 4 = o*i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -3 - (66 + -42)) + (94 - 110)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -11. Let v = b + 4.3. Let y = -94097 + 94090. What is the smallest value in y, 2\/9, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/((-805)\/(-276))*10\/(-114).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**5\/20 - 5*d**4\/6 - 8*d**3\/3 + 2*d**2 + 122*d. Calculate r(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -550*g - 2169*g - 160524 = 368*g for g.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -177198, -354723, -532248, -709773, -887298?\n\"Answer: -177525*o + 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 - -37. Let b = -563 + 526.3. Let h = b - n. Which is bigger: h or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -185 - -187. Suppose -10*v = -12*v + 5*o + 830, -806 = -x*v - o. Is v a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -10. Let r(l) = l**3 - 6*l**2 + 5*l - 1. Let u be r(5). Let t be (3\/2)\/(2\/(-4)). Put t, u, n in ascending order.\nAnswer: t, u, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 2*p + p - 15, -p - 2*k - 10 = 0. Suppose n = -p*n + 29. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-216)*8*111\/148)\/((-8)\/6)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zl when two letters picked without replacement from zlzzlzzzz?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 11*y + 2*y)*(77*y - 2 + 80*y - 159*y).\nAnswer: 22*y**2 + 22*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 329752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9452083.52 - 2.3803\nAnswer: -9452085.9003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9559027 and 37433.\nAnswer: 3403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-16 - -4 - -11) - -17 - (49 - -1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4 (c) 0.2 (d) 51 (e) 107 (f) 1\/6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 6*y - 1. Let o be s(6). Let h be 1*(-1)\/(-2 - o). Let v = 5\/441 + -6\/49. Is h smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 898 and 7110364?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 1495.\nAnswer: 1495.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 374?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7845 - 7831. Solve -4*a - g = 2*j - 7*a, 4 = 2*a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5.2097 in 0.1, -1.2, 1\/4?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*o**4*s - 1825*o**2*s**2 - 3*s**2 + 17*s + 29 wrt o?\nAnswer: -16*o**3*s - 3650*o*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/27 in -25, 0.5, 1.9, -3\/5, -3.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 + 85 - 85.\nAnswer: 8*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the second derivative of -t**5\/6 + t**4\/12 - 26*t**2 - 28*t - 2. Let d(f) be the first derivative of r(f). Let h(p) = 2*p**2. Determine d(h(g)).\nAnswer: -40*g**4 + 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 1, -5, -1748609.\nAnswer: -1748609, -26, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.596 - -17.996. Round y to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -y**5\/20 - y**4\/6 + y**3\/6 - 2*y - 18. Let v(z) = z**3 + 2*z**2 + z - 1. Let j = 2 + -4. Let i be v(j). Calculate c(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 27068493 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*y = 2, 0 = -3*o + 2*o - y + 9. Suppose -4*c - c + 10 = 0. Let a = -76 + 84. Solve -c*k = -2, 2*r - r + o*k - a = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 121880*k**2 + 74*k - 60956*k**2 - 60952*k**2 to q*k**2 + y*k + f and give y.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**2\/9 + 4*c\/9 - 2\/9 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*b + 87 = -165 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 1:32 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7940239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2145742, 4291479, 6437216, 8582953, 10728690, 12874427?\nAnswer: 15020164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21885894?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -6 - (-1 + 3). Suppose 3*f - 21 = -5*g, 5 + 1 = -n*f + 4*g. Let d be (-2)\/(-4) + 1 + 0. Is d not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*d + 17. Let y = d + 16. What is the least common multiple of 9 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 10*i**2 - 3*i - 50. Let a be w(4). Solve -51*y - a = -24*y for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k. Suppose 11*z + 181 - 654 = 0. Let p = -38 + z. Let h(l) = 10*l + 4. Let v(f) = 10*f + 5. Let r(g) = p*h(g) - 4*v(g). Calculate r(y(t)).\nAnswer: -30*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 15*k - 9. Let s(w) = w**2 - 7*w - 4. Suppose 0 = -2*h + v - 5, 5*h = -11*v + 12*v - 17. Determine h*g(m) + 9*s(m).\nAnswer: -3*m**2 - 3*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 513\/19 + (-18)\/((-143406)\/(-215047))\nAnswer: 2\/257","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1097349 and 429?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a + 1241 = -11*a - 46*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -22*z**2 + 0*z + 0*z**4 + 0 + 0*z**3 + 1\/340*z**6 - 1\/255*z**5 - 1\/2856*z**8 + 0*z**7. Factor v(x).\nAnswer: -2*x**2*(x - 1)**2*(x + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/6 - 46\/12) + 0. Suppose 0 = 6*y - y - 15. Let n = y - l. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 z when three letters picked without replacement from {z: 9, e: 2}?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 3 - 34*(6 + (-26)\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 1011*g - 1012*g = -73, -4*y + 2*g = 56 for y.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, t: 4, n: 2, a: 1}. What is prob of sequence tzn?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*h**3 + 507 - 507.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -18*l + 76 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 12:01 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/4)\/7*4\/2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 18, -0.0082, 0.2, -3, 2\/5, 0.5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 808 and 1629938.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 4*q - 6. Let a be (1 + (-16)\/(-2))*16. Suppose v = -q*v + a. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20420*s + 20444*s = 8500872. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247047931?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 1600000 = -c + 3*k, -5*c - 4*k + 8000000 = 0. Round c to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5413, -10339, -15277, -20233, -25213, -30223?\nAnswer: -35269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66.861 - -0.139. Let y = -90.5 + w. Let z = -23.397 - y. Round z to 2 dps.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, v: 1, m: 1, w: 2, d: 1}. What is prob of picking 2 w?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i**4\/4 + 6*i**3 - 3*i**2\/4 - 6*i = 0. What is i?\nAnswer: -8, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -363.664 - -362.54. Let y = -6.931 - -0.417. Let t = d - y. Round t to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6483990 * -0.04.\nAnswer: -259359.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 128171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13\/4*38*(99 + -5). Is 19 a factor of (d\/141)\/((-2)\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.457554 millennia to decades.\nAnswer: 645.7554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tluc when four letters picked without replacement from {u: 2, c: 2, l: 4, t: 4, b: 2}.\nAnswer: 8\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -15, 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.38 in -3\/5, 0, -22.5, -0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -7. Put 2, r, -2 in descending order.\nAnswer: 2, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-18)\/((-99)\/11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 109289205 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.5902938km?\nAnswer: 590293.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2673806000 to the nearest one million.\nAnswer: -2674000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - -29643771?\nAnswer: 29643775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 119 - 169. Let k = -50 - s. Let g be 0 + (1\/6)\/(-1). Which is greater: k or g?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-4)*(128\/(-40) + 4). Let h(m) = m - 8*m + y*m + 4*m. Let s(a) = -6*a. Calculate h(s(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 32*q**4 + 2*q**3 - 315*q**2 + 6. Let f(d) = -62*d**4 - 3*d**3 + 630*d**2 - 10. Let j(r) = -6*f(r) - 10*n(r). Find the third derivative of j(s) wrt s.\nAnswer: 1248*s - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36913 or 36902?\nAnswer: 36913","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**3 - 27519*f**2*y + 3*y - 4611 wrt f?\nAnswer: -3*f**2 - 55038*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3506.12 to the nearest 10.\nAnswer: -3510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5806091?\nAnswer: 1607, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/90*(-36)\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1878335 or -1878321?\nAnswer: -1878335","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 19*y**2 - 430*y - 12. What is o(22)?\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 15581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1415709 is divided by 1264?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -20*i**5 + 892*i**4 - 7180*i**3 - 17116*i**2 + 45840*i + 20592 = 0.\nAnswer: -3, -2\/5, 2, 13, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108835?\nAnswer: 5, 21767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5819 - 5257 = -4*l. List the prime factors of l.\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -576 + 306 = -3*a - 3*c, 3*a - 265 = -2*c. Calculate the remainder when a is divided by 44.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -691827360?\nAnswer: -691827360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 13) in base 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 13 = -6*q + 3*p, -4*p + 11 = -q. Calculate the highest common factor of q and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 255302 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 3*g**2 + 2*g. Let s be c(-2). What is the first derivative of s + 3 - 5*a - 3 + 3 wrt a?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v + 3*v - 3*v + (-1 - 1 + 3)*(3*v - 4*v + 0*v) - 294 + 294 + 9*v + (2 + 0 - 4)*(9*v + 14*v - 10*v))*(2 + 5 + 5) as l*v + a and give l.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71405 is divided by 384.\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 360 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f**2 + 10*f + 14. Let q be v(-5). Put -2, -1, q in descending order.\nAnswer: q, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a microgram in nanograms?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 11\/4 (b) 3\/2 (c) -898\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + -10815431044.2?\nAnswer: -10815431044.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3}. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 441518 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (387\/270)\/((-16)\/(-6)) - ((-4)\/10 - -1).\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.03 + 1.03. What is the nearest to 0 in 4, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197 = -53*y + 67 - 52. Factor 2*t + 1\/2*t**2 + 0 - 1\/2*t**y - 2*t**3.\nAnswer: -t*(t - 1)*(t + 1)*(t + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -v + 5*s + 13, 5*v = 2*s + 22. Let t = 1038.5 + -1038.8. What is the biggest value in v, -2, t, 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -106\/277 or -1?\nAnswer: -106\/277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 2*k - 1. Let u(w) = 9*w - 7. Let m(d) = -n(d) - u(d). Suppose 4*h + 41 = 5*p + 11, -3*h - 30 = -5*p. Determine m(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 35.319 + -35.3190024303. Round s to 7 dps.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -17\/75341 and 0 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**9\/3024 + i**5\/60 + i**3\/3 + 2*i. Let f(u) be the second derivative of j(u). Find the second derivative of f(a) wrt a.\nAnswer: 20*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -9.66308\nAnswer: 0.966308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -15, 2*a + 0*a - 18 = -4*x. Suppose 0 = -w - 2*w + a*m + 15, 5*w = 4*m + 25. Solve 3 = w*r - 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*d + 78*d + 273 = 0 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 4. Let m = 6 + j. Let i(y) = 2*y**2 + 2*y**2 - 3*y**m. Let h(k) = -k. Determine h(i(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -2\/19 (c) -0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 431 divided by -20?\nAnswer: -431\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i + 0*i + 0*i)*(2*i - 3 + 3)*(-13 + 1 - 12) in the form g*i**2 + w + j*i and give g.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/91 not equal to 1\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32.2 + -17.9. Let n = -14.3452 + q. Let l = n + 0.051. Round l to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 1 + 1 + 12*d - 6*d + 2*d + (5 - 1 - 3)*(d + 2 - 2) to the form i*d + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**2*r*v**3 - 5*b**2*v**3*x - 3*b**2*v**2 + b**2*v*x + b*r*v**2 - 3*b*r*v*x + 2*r*v**3 wrt v?\nAnswer: -12*b**2*r - 30*b**2*x + 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -2, 30, 2 in decreasing order.\nAnswer: 30, 2, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -10. Solve -4 = -2*j + b for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56392512 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y + 1. Let u = 4 - 7. Let d(n) = -n**2 - 2*n - 4. Let g be d(u). Let z be (-6)\/10 - g\/(-5). Calculate t(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 294700 and 308?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(98)).\nAnswer: 3 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6624 divided by 2\nAnswer: 3312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-178542)\/2507)\/(-234)*(-1)\/(-7)?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*k = -1500. Let u be (-1)\/(4 - k\/76). Let p = u - -20. Which is smaller: p or 10\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.9275156 times 0.1?\nAnswer: 3.39275156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o. Let a(k) be the second derivative of 2*k**4\/3 + k**2\/2 + 24*k + 2. Determine a(v(u)).\nAnswer: 8*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*m**2 + 25*m**2 + 2*m**2 + 66*m**2 - 17*m**2.\nAnswer: 119*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 9 = -5*d, 3 = -8*d + 13*d - 4*r. Sort 3, d, -20, 4 in increasing order.\nAnswer: -20, d, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45815554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 7481 = 3*q, -2*q = 3*a - 5*q + 4491. Let b be (-2)\/(-10) + (-8 - a\/25). What is the highest common factor of 78 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/(90\/(-273)))\/((-245)\/(-105)). Find o, given that -u*o - 46\/5*o**2 + 7\/5*o**4 - 1\/5*o**5 + 2\/5*o**3 - 5 = 0.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -35 + 50. Let t = -9 + g. Which is smaller: 7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -2, -1, 58, 11, 5 in increasing order.\nAnswer: -6, -2, -1, 5, 11, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 756\/135 - (-9)\/(-15). Suppose -3*h - 9*s + 11*s + b = 0, -h + 4*s = 5. What is the lowest common multiple of h and 193?\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2. Let q(a) = -a**2 + 2*a - 2. Suppose f + 2 = 2*f. Let o(i) = -2*i**2 + 3*i - 3. Let j(v) = f*o(v) - 3*q(v). Determine j(t(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11004 + 10999. Put l, -1\/8, -5\/9, 0.14, 0 in decreasing order.\nAnswer: 0.14, 0, -1\/8, -5\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -82 - -225. Suppose -5*j + 1 = 6, -5*v + t = -3*j. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**5\/10 - 41*z**4\/12 + 14*z**3\/3 - 2*z**2 + 55*z. Factor y(w).\nAnswer: -2*(w + 14)*(3*w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 z, and 1 a when four letters picked without replacement from {b: 1, z: 1, p: 1, a: 1, s: 2, k: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 44 * 38.\nAnswer: 1672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 - 2*z**2 + 4*z**3 - z**3 + 3 + 4*z. Let d = -13 - -16. Let g(r) = 2*r**3 - 4*r**2 + 7*r + 5. Determine d*g(n) - 5*q(n).\nAnswer: n**3 - 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -3\/4 (b) 0.2 (c) -65 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from czzzzzcczz?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19461 and 467415?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 4*m - 21 = 0, -2*j - 6*m = -7*m + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**3 - 4797735*v**2 + 1150891466400*v + 10358411817780.\nAnswer: 5*(v - 479778)**2*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/10 - 74\/10. Let c(w) = w**2 + 6*w - 4. Let a be c(p). Suppose a*b = -2*b. Solve 3*q + 0*q + 3 = b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -43 - -43.09. Suppose 0 = -4*x - p - 12, -x + p + 1 - 4 = 0. Put y, x, 0.3 in decreasing order.\nAnswer: 0.3, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4\/7 - 74*h**3\/7 - 119*h**2 - 2476*h\/7 - 2196\/7 = 0. What is h?\nAnswer: -61, -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -1\/5 (c) -10 (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2931 + -1975. List the prime factors of g.\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9415 and 1515815?\nAnswer: 1515815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 7 - 8)*(99 + 14*i**3 - 99).\nAnswer: -28*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -241?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 13*x - 36 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 505*g**4 - 3*g**3 - 5*g**2 - 37896*g - 4.\nAnswer: 12120*g - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 + -5. Suppose -a + 9 = 2*a. Suppose -3*j + 0*j + 24 = 5*y, -i*j = -3*y + a. Solve 2*s = -v - 0*s + 8, -v = -j*s + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 306*s - 520*s + 256*s - 270*s to k*s + l and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*h**2 + 452*h + 5831 with respect to h.\nAnswer: 14*h + 452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 370, 0.5, 1, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9470\/135421)\/(15\/39).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12212*s**2 - 30753.\nAnswer: 24424*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29\/43? (a) -11\/13 (b) 4 (c) -4 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26322 and 4173?\nAnswer: 342186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 - -1) + (202\/(-8))\/(165\/(-8049360)). Round g to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 448808703?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 6. Suppose 90 = q + c*q. Let m(y) = -y**2 - 7*y + 6. Let h be m(-7). Solve 4*k + h - q = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(363) + -2*sqrt(363)) + -5 + -6*(sqrt(363) + 1) + (1 + sqrt(363))*2)*-1)**2.\nAnswer: -198*sqrt(3) + 444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11042 (base 6) to base 15\nAnswer: 6c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 1. Suppose 2*i = -3*p + 42, 7*i + 5*p - 95 = 2*i. Let m(y) = 2*y + 3. Determine i*l(f) - 5*m(f).\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 121, -4, 2, -6, -45 in ascending order.\nAnswer: -45, -6, -4, 2, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6.4. Suppose 4*a - 110 = -4*x - 90, 0 = -2*a + x - 2. Let i = -1 + 4. What is the third smallest value in m, a, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*50780.662.\nAnswer: 20312.2648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (132\/11 - -45) + 7 + -1*19.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19893 + 1369?\nAnswer: -18528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 66 - 116. Let k be 1\/(-6) + (-1127)\/42 + 7. Let u = k - x. What is the common denominator of u and 34\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -33\/5. Suppose -5*y - 11 - 12 = -j, 2*j + 29 = -5*y. What is the biggest value in j, 3, i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -7. Let y(f) = 2*f**2 - 5*f + 4. Is y(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1261872 and 864?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91 - 90.7. Sort -11, r, -3 in descending order.\nAnswer: r, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26781640 and 1520?\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1131 divided by -1853?\nAnswer: -1131\/1853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x**2 - 6*x**2 - 11*x**2 - 6*x**2 - 9*x + 4*x**3.\nAnswer: 4*x**3 - 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 689387?\nAnswer: 157, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -365\/4*i - 133225\/8 - 1\/8*i**2.\nAnswer: -(i + 365)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-224)\/(-10) + 8\/(-20). Suppose -h = -z + 2*r + 8, -2*r = -2*z + 62. Does 12 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 7*k**2 + k - 3. Let v be a(-4). Let r = v + -48. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88509166 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h + 1. Let x be s(4). Suppose -x + 3 = 2*n. Is n - 7\/((-21)\/318) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 0.2, 4\/901, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 5*k**4\/12 + 175*k**3\/3 - 1140*k**2 - 3*k - 123. Factor i(c).\nAnswer: 5*(c - 6)*(c + 76)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -15. Let a = y + -3. What are the prime factors of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164838 and 13944.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1132*w = -16295 + 30167 + 20088 for w.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4831*i + 22984?\nAnswer: 4831","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 55. Let h = l - -12. What is the closest to 0 in h, -2, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -8*j**2. Let g(k) = -6*k**2 + 4*k**2 + 0*k**2 + 5*k**2. Determine n(g(w)).\nAnswer: -72*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.9 (b) -2\/13 (c) 0.5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - (-3 + sqrt(425)))*-2 + -1*sqrt(425) + 4)**2.\nAnswer: 20*sqrt(17) + 429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ettettmemt. What is prob of picking 3 e?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1972 and 8262?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 53947, 107866, 161721, 215482, 269119, 322602?\n\"Answer: -5*a**3 - 2*a**2 + 53960*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*n + 146 = -86 - 111 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9130293 + 9130293 - 161*c**3.\nAnswer: -161*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5491 = -389*z + 100*z for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -33096?\nAnswer: -1\/8274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -3 + sqrt(847) + 1 + 5 - (sqrt(847) - 4*2*sqrt(847))*-5)**2.\nAnswer: -2178*sqrt(7) + 922392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-7 + (0 - -4) + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11955*h**3 + 5984*h**3 + 5910*h**3.\nAnswer: -61*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-16) - (690\/(-8))\/5. Let p = 17 - c. Let h(n) = n - 1. Let j be h(3). Solve w - 10 - 10 = 4*k, p = j*w - 4*k - 24 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 10020021210?\nAnswer: -10020021220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*q, 3*s = -2*s + 5*q + 25. Suppose -s*p + 8 = -p. Suppose -3*w - p*o - 17 = 0, 4*o - 16 = 4*w - 40. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5888 from -0.955.\nAnswer: -1.5438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1015 and 0.113.\nAnswer: 0.0114695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -183 divided by -1\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 200\/(-24))*12\/128.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1421\/865 + 42\/173. Let j = 1.1 - 1. What is the fourth smallest value in 2, d, j, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - b**2 + b + 2*b)*(0*b + 0*b - 2*b**3).\nAnswer: 2*b**5 - 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 - 45.8. Let z = -11.19866 + j. Round z to 4 dps.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(80)\/sqrt(4)*1)**2 + sqrt(20) + sqrt(220)\/(sqrt(33)\/sqrt(3))) + sqrt(1280) + (-2*sqrt(1280) - sqrt(1280))*4 + 3.\nAnswer: -168*sqrt(5) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 AM and 10:22 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 31*x + 36*x = -24, 40 = -4*s - 6*x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -490293122507 and -0.04.\nAnswer: -490293122507.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2139, -4315, -6491, -8667, -10843?\n\"Answer: -2176*k + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 12:18 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a840 - -5aaa?\nAnswer: 3583a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -6\/13 in decreasing order.\nAnswer: -6\/13, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2814268 centimeters in meters?\nAnswer: 0.002814268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 8*o + 11. Let d be i(3). Suppose -3*q + 2*q + 36 = 0. Let n = q - d. What is the closest to -1 in -0.5, n, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23, -42, -73, -116?\n\"Answer: -6*c**2 - c - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61\/22 - -3\/11. Which is the nearest to 1? (a) m (b) -2\/13 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*y + 17, 9 + 0 = -3*y - 5*t. Suppose y*n - 135 = -2*n - 3*q, 0 = 3*n + q - 95. Calculate the remainder when 179 is divided by n.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in six fifths of a century?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*63\/(-36) + 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p = 535 - 780. Sort -0.5, 1\/4, p, 2\/5 in increasing order.\nAnswer: p, -0.5, 1\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 - 16*n**2 - 2961*n - 26807. Give h(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 848234945 to the nearest integer?\nAnswer: 29124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*i + 258*i = -79 + 427 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, -2\/7, -7, 1\/6, -32?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (1 - (5 + -6) - 10) + 33?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 801419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(-2*sqrt(1539) + sqrt(1539) + sqrt(1539)) + sqrt(1539) + 0)*5 + 0 + 0)**2 + -3.\nAnswer: 38472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/18*4*3)\/(86\/(148608\/(-672))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 + -97. Let t be -2*8*(-6)\/(-8). What is the units digit of (-2)\/8 + m\/t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -116, -5, 5, 2 in descending order.\nAnswer: 5, 2, -5, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26 - -6) + -1 + 11.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3510335 divided by -5?\nAnswer: 702067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.42*10.1\nAnswer: -4.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4825 and 42400.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*-3)\/sqrt(6))**2 - (sqrt(34)\/sqrt(2) + 3).\nAnswer: -sqrt(17) + 150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35389 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100*p - 286*p + 90*p + 95*p + 287*p**2.\nAnswer: 287*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z + 1. Let g(q) = -1. Let r be -4 - (2 + -2 - 6). What is r*l(c) - g(c)?\nAnswer: 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 7*s - 58. What is c(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 21\/98071490?\nAnswer: 21\/98071490","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 14 - 18)*(-2*n**2 - 7*n + 7*n) - n**2 + n - n + 2*n**2 + 3*n**2 - 3*n**2 + (-2 + 4 - 4)*(2*n**2 + 0*n**2 + 0*n**2) as a + z*n**2 + d*n and give z.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*s + 175*s + 2072 = 78*s for s.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 105 - 102. Let b = -682 - -635. Sort b, z, 0 in increasing order.\nAnswer: b, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -87044 by 18.\nAnswer: -43522\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 15 = 0, 4*m + 38 = 3*c + 9. Let q be (c + -5 - 0) + 7. Suppose 5*l - 453 = 2*y + 44, 492 = q*l + 3*y. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7858260 to the nearest 10000.\nAnswer: -7860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*s - y - 1, 4*s + 6 = y + 14 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 9*l + 22*l**4 - 6*l**2 - 8*l - 23*l**4 to c + z*l + n*l**3 + j*l**4 + p*l**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - g - 7 = 0, 3*k - 292*g = -294*g + 21 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 580726389 to the nearest integer?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 280 - -a?\nAnswer: 28a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 62145.41 millilitres to litres.\nAnswer: 62.14541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 144*g - 115. Let n(v) = -11*v + 56 - 26*v - 35*v. Let h(q) = 5*n(q) + 3*z(q). What is the derivative of h(x) wrt x?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 3*m**3\/2 + 3*m**2\/2 + m. Suppose -2*h - 30 = 3*h. Let n be i(h). What is n rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38\/39 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -38.3. What is the closest to v in 4, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 13\/5341 and 2\/2499 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3256485\/11 + -296044. Let s = -505\/6 - -1853\/22. Which is the fourth biggest value? (a) -1\/8 (b) m (c) -0.2 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00004256680887 to 6 dps.\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ymz when three letters picked without replacement from {d: 3, z: 1, m: 1, x: 2, q: 1, y: 3}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 2)\/(1*3\/2811). Let q = 424 - w. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q - 2 = -890. What is the remainder when 244 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2327 and 2220?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 335697*j**5 - 364558*j**2 wrt j?\nAnswer: 20141820*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -838\/3 + 280. Determine r, given that 32\/3 + 16\/3*r + n*r**2 = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/6)\/d)\/((d\/d**(-4\/9))\/d))\/(d**(1\/4)*(d\/((d**(4\/3)*d)\/d))\/d))**(-25) assuming d is positive.\nAnswer: d**(475\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**2 - 28*r - 126. What is m(-6)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 24258283220.1 take away -31?\nAnswer: 24258283251.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u + 0*u)*(7 + 2 - 6)*(-4*u + 0*u + 3*u).\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22866664*y**2 + 37564759*y.\nAnswer: 45733328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/14)\/(69\/(-828)))\/(10\/(-35))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 904 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wjwj when four letters picked without replacement from {w: 17, j: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/(-8) + (-2)\/1. Let g = -6 + -4. Let o = g - -10.2. What is the nearest to o in s, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 331353*a. Let j(x) = 14*x**2. What is d(j(n))?\nAnswer: -392*n**4 + 4638942*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1281 is divided by 144.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + k - 7, 5 = -f - 2*k + 1. Suppose 2 = f*r - 2*g, 4 = -g + 5*g. Suppose v = 2*v - 2. Does r = v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5723744810?\nAnswer: 2, 5, 7, 23, 3555121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.173 + -0.273. Let j = -0.2 - -0.1. Which is the nearest to j? (a) 1 (b) 0.07 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, s: 11, m: 8}. Give prob of picking 1 s and 1 f.\nAnswer: 11\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from typtuthuuy. What is prob of sequence yp?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18292 or 0?\nAnswer: -18292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 2*y**2 + 2*y**2)*(-2524*y - 135*y**3 + 2524*y).\nAnswer: 135*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 + 54?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from {a: 16, i: 2}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1356*t**4 + t**3 - 7230*t**2.\nAnswer: -32544*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3229 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -m - 45, -11*s - 4*m = -7*s - 40. Suppose -5*o + 4*b = -2204, -s*o - b + 2224 = -6*o. Does 15 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**2 - 125*f - 614. Give h(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 7. Let h be t*(6 + -3)\/(-3). Let k = 7 - h. Solve 4*w - 8 + k = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -868869 = -3*i + 3*y, -2*i - 4*y - 318594 = -897828. Let q = 360650 - 210029. Let w = i - q. Round w to the nearest 10000.\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**3\/y*y)\/y*y)\/(y*(y\/(y\/y**(-5)))\/y))\/(y\/y**(2\/7))**(-25))**14 assuming y is positive.\nAnswer: y**362","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3573486?\nAnswer: 2, 3, 7, 79, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 41. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*z - 185 = 69*z. Let h(o) = -2*o**2 - 22*o + 5. Let u(d) = d**2 + 11*d - 2. Calculate z*u(m) - 2*h(m).\nAnswer: -m**2 - 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -3) + 10 + -10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q + 1. Let a be o(0). Is (-78)\/(-9)*21 + a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 428411730?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*s = s + 178, 2*o + 3*s - 96 = 0. What is the tens digit of 12\/o*3*15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -48. Let k = j - 22. Suppose -3*d - 4 = -k. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3*x**2 - 344496*x - 689002. Determine w(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 4, 3, -4 in decreasing order.\nAnswer: 53, 4, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 14*v. What is h(-1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and (-2 - (3 - (-27)\/(-6)))*-24?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 + 976c71?\nAnswer: 976c70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025346908 rounded to three decimal places?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = 2. Let y(p) = p**2 + 1. Let d be (-18)\/8 - 2\/(-8). Let k be y(d). Which is the nearest to 1\/4? (a) l (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3 = 2*o + 29, 5*u = 5*o + 40. Let p = u - 2. Solve p*a - 4 = -19 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -216*n - 1968 = -93*n for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5490 and 68318658?\nAnswer: 341593290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -5895464700 to the nearest 1000000.\nAnswer: -5895000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -4, 1\/7, 0.2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**3 + 98*p**2 - 9*p + 192 wrt p?\nAnswer: 12*p + 196","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-364)\/2)\/(2*-1) - -2. Suppose 10*a = z + 67. Suppose -4*i + 0*i + a = 0. Solve 2*u = u - i for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 1 = -5. Suppose 39*k = -10793 + 10793. What is the nearest to b in 4\/7, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 174.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 72 - (2 + -13 + (21 - 14) + 2 + -4)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p**2 + 5*p - 11. Let m be q(-9). Suppose -d = -3*d + m. What is the remainder when d is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1076 + -1581. Let s = 221 + z. Let g = 284.129 + s. Round g to two dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1) - (-2 - -5). Let m be (-5)\/(-2)*(4 + -2). Let j = s + m. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 66000.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3888 is divided by 656?\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4339, 8679, 13019, 17359?\nAnswer: 21699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -97 + 0 + (2 - (-8 - ((3 - 3) + -5))).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, k: 1, s: 1, a: 2, c: 1, x: 2}. Give prob of picking 1 c and 1 a.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/(-70) - 5\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 5:04 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s + 134 = 372. What is the smallest common multiple of s and 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3.962 - 3.9621858. What is b rounded to 6 dps?\nAnswer: -0.000186","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*m + 3*l, -4*m = m - 2*l - 20. Solve 3*j = -o + 7, -m*o + 32 = 5*j + 11 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/8110 and 73\/8110.\nAnswer: 8110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -312*j + 95. Let n(o) = 313*o - 96. Let c(r) = -3*f(r) - 2*n(r). Differentiate c(d) wrt d.\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -26. Let b be (0\/k)\/(-4 - -5). Is 10 a factor of 10\/(-8)*(-8 - b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -24*(-2)\/1*34\/136. Let p(l) be the second derivative of -4\/3*l**4 + 2\/15*l**6 + 8\/3*l**3 + 0*l**2 - c*l + 0 + 0*l**5 - 1\/42*l**7. Factor p(k).\nAnswer: -k*(k - 2)**3*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79766, -79764, -79762, -79760, -79758?\nAnswer: -79756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 387 divide 4239198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 544 - 11543002?\nAnswer: -11542014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -53 - -88. Find the common denominator of (-5 - (21 + 5))\/29 and (-2)\/5 - (-69)\/b.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -120, -119, -118, -117?\n\"Answer: i - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -9*t + 34. Let c(j) = 5*j - 17. Determine 7*c(b) + 4*z(b).\nAnswer: -b + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -3*q**2 + q + 5. Let o be b(0). Solve -3*n + 0*g = 4*g - 22, -28 = -4*n - o*g for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6855.292l?\nAnswer: 6855292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -36850 divided by 7370?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 - -23122432423?\nAnswer: 23122432412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -6*s + 84. Let p be z(-8). Let g = p - 130. Solve -4*k - 4*u = -4, -2*u = 4*k - 0*k + g for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -3*j**2 - 43*j - 42. Let f be c(-11). Suppose 7*a - 443 - f = 0. Calculate the greatest common factor of 1387 and a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 14*f**2 + 3. Let a(z) = -13*z**2 - 2. Let v(j) = 5*a(j) + 4*h(j). Let o(n) = 3*n**2 - n - 1. Let x(u) = 2*o(u) + v(u). Determine x(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -35 (b) -2 (c) -4 (d) -2\/11 (e) -0.2 (f) 147 (g) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**2\/p)\/p)**(-44)\/(p**(1\/7)\/p**(5\/4)))**(5\/4) assuming p is positive.\nAnswer: p**(155\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*s**(-15))\/(s**9*s))\/(s**(-2\/15))**(-4) assuming s is positive.\nAnswer: s**(-338\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 + -40. Let m = t - -17.8. What is the closest to 0 in m, -2, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16.5 + -16.5. Sort -1, 1\/3, l, 0.02 in increasing order.\nAnswer: -1, l, 0.02, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 - 1.6. Let l = 0.199981 - g. What is l rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of 0*v**2 - 3*v + 0 - 1\/6*v**3. Let i(f) = -9*f**2. What is q(i(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 9*n**2 + 9. Let i(h) = h**3 - 8*h**2 + 11. Let a(r) = -4*i(r) + 5*p(r). Let g be a(13). Is g at least -3\/71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 982.6344km?\nAnswer: 982634.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**3 - 1833339*l**2 + 3666657*l + 5499999 = 0?\nAnswer: -1, 3, 611111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4 + x - 5 - 1. Let c be q(4). Suppose 0 = c*p - 0*p - 8. Let z(y) = -y**3 + 3*y**2 + 3*y + 4. What is z(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-11 + -29 + 3 + (8 - -2))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of -h**3\/3 - 16*h**2 - 398. Let g(z) = 10*z. Determine j(g(i)).\nAnswer: -100*i**2 - 320*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 7*w + 3. Let u be c(-7). What is the first derivative of -2 + 4 + 2*o - 3 - u*o wrt o?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*w - 9*w + 20*w)*(11608*w + 314*w**3 - 11608*w)*(-w + 4*w - 5*w).\nAnswer: -13188*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37309?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 164076 (base 8) in base 3?\nAnswer: 10000120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 7 = 3*l - 4*p, 5*l - 3*p - 6 = 0. Suppose -g - l*g = -528. Suppose i + 12 = 2*i. What is the highest common factor of i and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 = 0, -2*d = -3*r + d + 465. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*r**5 - 920*r**4 + 765*r**3 + 36270*r**2 - 116640*r + 90720 = 0. What is r?\nAnswer: -12, 14\/11, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-five sixths of a week?\nAnswer: 92400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -66573852, -4 in increasing order.\nAnswer: -66573852, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*m + 25 = 0, 5 + 20 = -2*b + 5*m. Suppose b = -2*n + h + 21, 0*h - h = n - 15. What is the remainder when 34 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*u = -262*u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20560 (base 9) to base 7.\nAnswer: -54411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*c - 28 = 56*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x**0)\/(x\/x**7)*(x\/(x\/x**0)*x)**(-10\/3))**(-13))**(-6\/7) assuming x is positive.\nAnswer: x**(286\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*2\/(-33))\/((-1518)\/(-15939)).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.233676t?\nAnswer: 233676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5331*n + 2751*n**2 + 5332*n - 21332*n + 5333*n + 5336*n.\nAnswer: 2751*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b**2 - 6*b**2 + 6*b - 4*b.\nAnswer: -27*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a - 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (-7 + 7 + -8) - 28.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 34 + 4 = -3*r, -p = 3*r + 14. Let l be ((-4)\/r)\/((-40)\/60). Are l and 1\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2894000 to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14*(2 - 0 - 63\/18). Let y = 11 + q. Let x(z) = -z**3 - 28*z + 14. Is x(y) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80311 = -2351*w - 8199*w - 499939 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47226?\nAnswer: 2, 3, 17, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**3 + 0*a**3 + 4*a**3 + (-7*a**2 + 2*a - 2*a)*(-45 + 45 + 63*a).\nAnswer: -442*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/21 + 38*n**3\/21 - 4*n**2\/3 - 152*n\/21 + 48\/7 = 0.\nAnswer: -2, 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2474 <= -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -101100111100001101 (base 2) to base 8\nAnswer: -547415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 155389971 to the power of 1\/3, to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*o = 618019 - 57613. List the prime factors of o.\nAnswer: 3, 7, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 22 = 62. Find the second derivative of i*b - 19*b - 5*b**2 + 2*b wrt b.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-6) - 120540\/45. Let g = 3864 + m. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.34 times -0.11?\nAnswer: -0.0374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010111101000100 (base 2) in base 6?\nAnswer: 5513352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*10\/25*15\/12. Which is the nearest to v? (a) -0.2 (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r**2 - 88*r + 349. Give w(17).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.351041 to two dps.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 - 122. Put -5, -50, f in ascending order.\nAnswer: -50, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2503176?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4599062 rounded to two decimal places?\nAnswer: -2.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 6. Let q be s(-5). Let l = q - -14. Sort -1, l, 4.\nAnswer: l, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -r - 3050, -3*l = l + 4*r - 2464. What are the prime factors of l?\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (217\/155)\/((-2)\/5)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(23\/(-36))\/23*-4.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.11*-88783\nAnswer: 9766.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1578598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 81*z + 329. Calculate the remainder when 4 + (-486)\/(-63) + (-4)\/(-14) is divided by n(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 844133548 to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1469081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13140420 and 10503?\nAnswer: 1167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, 2 in descending order.\nAnswer: 10, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(4*(sqrt(76) + (sqrt(76) - -3*(sqrt(76) - 3*sqrt(76)))))\/(-3*sqrt(196)*6).\nAnswer: -5 + 8*sqrt(19)\/63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000430389 rounded to six decimal places?\nAnswer: -0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -163490.51 - -164236.51824. Let d = j - 746. What is d rounded to three dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12617 (b) -448 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 455787 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1304 and 32?\nAnswer: 5216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*a - 69 = -14*a - 265 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 11*y**3\/3 - 3*y. Let q be x(4). Let p = -2 + 10. Calculate the greatest common divisor of q and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, -68 in descending order.\nAnswer: -2, -4, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2504 divided by 798?\nAnswer: 1252\/399","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -dad73 (base 15) in base 16?\nAnswer: -a9a7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 16*o**2 + o - 19. Let k be b(16). Does 27 divide 4\/(-18) - (k + 1408\/(-18))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 1 = -j - 0*j, 0 = -4*u - 3*j + 8. Let h be (28\/49)\/((-4)\/(-14)). Let p = 6 - h. Solve u*v + p = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.31 + 0.01. Let l = -5 + 5.5. Which is the biggest value? (a) 1\/3 (b) l (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 9:50 AM?\nAnswer: 11:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 20. Suppose -3*w + 0 = -6. Suppose -48 = -3*o - w*h, 3*o + q*h = -2*o + 75. What is the greatest common factor of 27 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -5*t**3\/3 + t**2\/2 - 7310. Let i(n) = -n. Determine q(i(h)).\nAnswer: -5*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 314 + -3554512?\nAnswer: -3554176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 154 divide 35266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*t + 74*t - 24 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 6*c - 20. What is the remainder when 5 is divided by w(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9155, 9153, 9151?\n\"Answer: -2*u + 9157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 10:16 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28745 is divided by 119?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 + -15. Suppose -4*n = 3*c - v, 3*c + 2 = c - 4*n. What is the smallest common multiple of ((-12)\/10)\/((-2)\/10) and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -188140, 2\/15, -503 in ascending order.\nAnswer: -188140, -503, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -43*a**3 + 7*a**2 + a - 2. Calculate the remainder when 1361 is divided by c(-1).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*j - 156, p - 2*p = 5*j - 378. Let s be (7062\/j)\/((-568)\/(-10)). Let d = 3\/71 + s. What is the common denominator of -13\/5 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -566.8, -3\/2, 3, 1\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -534 divided by -65.\nAnswer: 534\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1854600, 1854599, 1854598?\nAnswer: 1854597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12924 + -12883. Solve i - 19 = -11*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1649226.\nAnswer: 2, 3, 274871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/3 (b) 0.4 (c) -6 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((-243)\/(-36)*-4). Which is the fourth biggest value? (a) -2 (b) v (c) -0.11 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**(-2\/9)*t)**(-2\/37))**(-26) assuming t is positive.\nAnswer: t**(1300\/333)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*r**2 + 1\/3*r**3 - 2\/3*r + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3897253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 5. What is the units digit of p(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -11e0549?\nAnswer: 11e0552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 4. Suppose 2*o = -3*o - 2*g - 917, -g = -2*o - 374. Let i = 192 + o. Determine f(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 97, 146, 195, 244?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.2 - -14.4. Suppose 0*i = -5*i. Which is the nearest to 1? (a) 1 (b) x (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from oooffofofffoo?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7220 is divided by 7220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b**2 - 3*b - 14. Let h(z) = -z**2 - z - 3. Let x(p) = -4*h(p) + o(p). Calculate x(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3091*h - 18498. Let a be t(-6). Suppose 244 = 6*c - 2*c - 4*o, -c - 4*o = -56. Calculate the greatest common factor of c and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the second derivative of 5*b**3\/6 - 15*b**2\/2 + 6*b. What are the prime factors of h(6)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52941 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -204, -409, -614, -819?\nAnswer: -1024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -57467, -38.\nAnswer: -57467, -38, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a. Let v be t(-2). Let x(j) = -4*j + 17. Let n be x(4). Let c(i) = -n + 13*i - i**3 - 9*i + 2*i**v - 6*i**2. Determine c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 436 minutes after 12:15 PM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8cb - 1?\nAnswer: 8ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 406 is divided by 103.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -194 - 3*n**3 - 30*n - 26*n + n**3 + 56*n in the form b*n**2 + l + s*n**3 + d*n and give l.\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*v + 7*v**2 + 0*v**3 - 4*v**2 + 3*v - 2*v**3 in the form t*v**3 + r + a*v**2 + o*v and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88.59 + -89. Let l = 0.11 + r. Let p = -14\/5 - -51\/20. What is the second biggest value in -5, l, p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 14*f = 21 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -8*q**4 + 2*q**3 - 2*q + 8. Let b(j) = 9*j**4 - j**3 - j**2 + j - 8. Let u(p) = -6*b(p) - 7*n(p). Factor u(k).\nAnswer: 2*(k - 2)**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xmiismm. Give prob of sequence is.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 0.21?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 1. Let z(j) = 6*j - 5. Let b(g) = -10*a(g) + 2*z(g). Let r be 2\/(-2) + 3 - (-20 + 24). What is b(r)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-420)\/(-504) + (-1)\/(-6). Let t = 15485444048\/1899 + -8154526. Let f = t - 2\/211. Which is the nearest to 1? (a) 0.5 (b) x (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 4*j - 272 - 2, 0 = 2*f + 3*j + 128. Let m = -45 - f. Find the first derivative of -12 - 16 + 15*o + m wrt o.\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuuucccucs. Give prob of sequence ccsc.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -245532430 (base 6) to base 8\nAnswer: -22110242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 90 = 4*f - 4*r, 4*f + 2*r - 288 = 0. Suppose -16651 = -52*v + 21777. Let d = 777 - v. Calculate the remainder when f is divided by d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n + 2*n - 6. Let f be (1\/n)\/(1\/6). Let y be f\/(-12) + (-21)\/(-18). Which is the nearest to y? (a) 1\/5 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 6*k**2 + 4*k - 5. Does 2 divide y(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 25*r**2 + 199*r - 3184. What is the units digit of y(40)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13.4 - 12. Which is the third biggest value? (a) g (b) -4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2872730 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 36*b + 213. Let y be (-6)\/((51\/14)\/(-17)). What are the prime factors of l(y)?\nAnswer: 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/27)\/j**(-1\/6))**(-18) assuming j is positive.\nAnswer: j**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -29 + 164069?\nAnswer: 164040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177*w + 26 = -164*w. Solve w*h + 19 = 9 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 8 = -104. Suppose j - 5*j = -a. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*l = -26 - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 + 18*a + 62. Give h(13).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.22 (b) 1\/2 (c) 4 (d) 0.4 (e) 0 (f) -14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1885114 to the power of 1\/2, to the nearest integer?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 12490.\nAnswer: 19\/12490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5636*q**3 - 2 - 9 - 5642*q**3 + 11.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -330592752 divided by -453488.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/33 and 52\/5.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 12*t**2 + 599*t - 50. What is r(-50)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 - 92. Let g = -44 - u. Solve -b + 3*b - 13 = 5*f, g = f + 1 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2136 = 518*q - 874*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 1777 = -973. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 3. Suppose -1 = k - i. Suppose -4*j = -16*j + 36. Sort j, -7, k in decreasing order.\nAnswer: j, k, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-396)\/11520*-10)\/11.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 2*v**2 + 6*v - 6. Let t be (0 - 1)\/((-4)\/12). Let c be k(t). Solve -x = c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from gecueeeeggggeejgc?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + sqrt(52)\/sqrt(4))*3 - sqrt(91)\/(sqrt(28)\/sqrt(4)))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 3*i - 3*i)*(2 - 1 + 0) + 6*i + 2 + 12*i + 16*i.\nAnswer: 35*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1330020232 (base 4) to base 2.\nAnswer: -1111100001000101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 449, 442, 435, 428, 421, 414?\nAnswer: 407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2318 - 328 - 565 - 473 - 2*f + (2*f - f + 0*f)*(1 + 2 - 4) to d + p*f and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - z. Suppose -x = -5 - z. Suppose 10*s - x*s - 357 = -4*q, -4*s = 4*q - 360. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -126 - -27953?\nAnswer: 27827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -149237*q**3 - 162804*q**2 + 81402*q + 81402. Let p(r) = 2*r**3 + 2*r**2 - r - 1. What is 81402*p(k) + x(k)?\nAnswer: 13567*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 106 = 3*g, 3*d = 8*d - 4*g - 587. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -377*x + 201*x + 7*x**3 + 176*x.\nAnswer: 7*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + b + b)*(-1 + 1 - 2*b + (-3 + 4 + 1)*(0*b - b + 0*b) - b + b - b + 21*b - 2 - 3 - 23*b).\nAnswer: -14*b**2 - 10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -5. Is (2\/(-3))\/(d\/6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 2*g - 8, -g + r - 20 = 6*r. Let f = 6 + g. Sort f, 0, 3\/5 in decreasing order.\nAnswer: f, 3\/5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*u - 64*u = 109*u - 441 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 17 - 5 = -3*p, -5*k - 3*p = -1733 + 1713 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 21. Let s(g) = 68*g - 27. What is s(p) - 6*w(p)?\nAnswer: 62*p + 99","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 2, x: 10, v: 1, m: 5}. What is prob of sequence mvxg?\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) -1\/37746 (c) -5 (d) -2\/5 (e) 5 (f) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14629 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32774017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**3 + w**3 - 3*w**3)*(0*w - 2*w + 3*w) + 810*w**4 + 491*w**4 - 86*w**4.\nAnswer: 1216*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 - -5.7. Let g = i - 5.7. Let f = g + -21.2. Round f to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1009 or -1008?\nAnswer: -1008","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + d + 10 = 0. Let h be 26 - 2 - (0 + d). What is the highest common divisor of h and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (276\/736)\/(3\/16). Solve 23 = 5*p - n*h, -13*h = -8*h - 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 97 + -76 - 112\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**10\/7560 - v**8\/1680 + 41*v**4\/24 + v**3\/6 - 57*v**2. Let m(i) be the second derivative of x(i). Factor m(z).\nAnswer: 4*z**3*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 42, 96, 186, 324, 522, 792?\nAnswer: 1146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 57. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrccscpnnnrn. What is prob of sequence nn?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -122*p - 67 + 3*p**2 + 372*p - 127*p - 123*p as m + a*p + q*p**2 and give m.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 3:39 AM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3205 is divided by 504?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n**2. Let d(q) = 58*q**2. Give d(h(v)).\nAnswer: 3712*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 95886 and 126.\nAnswer: 95886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -468879.94 - -468881.8400553. Let u = -1.9 + a. Round u to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -6) + 6 + -9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 452 (b) -1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7889656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 3*f + 21. Let y(w) = -w**2 - 2*w - 18. Let d(k) = -6*n(k) - 7*y(k). Let g(s) = 7*s**2 - 2*s. Determine 6*d(l) - 11*g(l).\nAnswer: l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/38 in -0.4, -2, 1774, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1873435 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -161683920.\nAnswer: -1\/53894640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/46479400 and 64\/165.\nAnswer: 139438200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t + 30. What is the greatest common factor of t and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17.807 - 0.007. Let s = -17.28 + p. Which is greater: s or 0.06?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**2 - 9*q + 56. Let g(n) = -7*n**2 - n + 2. Calculate g(x) - u(x).\nAnswer: -x**2 + 8*x - 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1611255, 2, -5.\nAnswer: -1611255, -5, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-3)\/(-5))\/((-126)\/(-45))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2*f = -11, 3*y + 4*f + 0 + 7 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -9*l**3 + 7*l**2 + 43*l + 7. Let f(b) = 3*b**3 - 2*b**2 - 14*b - 2. Let c(d) = 7*f(d) + 2*o(d). What is j in c(j) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)\/(((q\/q**(2\/49))\/q)\/q))\/(q\/q**(-3))**(-20) assuming q is positive.\nAnswer: q**(3579\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(2\/5))**(-3\/4))**(-19) assuming z is positive.\nAnswer: z**(399\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 - ((-1 - -1) + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -302, -268, -234, -200, -166, -132?\n\"Answer: 34*r - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00952288 rounded to three decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 6 = 5*b, 0 = -4*b - 3*k - 1 + 6. Solve -3 = -b*r - r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.022 < 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 39*t**4 - 20937*t**3 + 120759*t**2 + 164037*t + 22302 = 0.\nAnswer: -1, -2\/13, 7, 531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14747, 29493, 44237, 58979, 73719, 88457, 103193?\nAnswer: 117927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, 234, -4 in ascending order.\nAnswer: -4, -2, 8, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 0.047 (c) -1 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82619, -165742, -249369, -333506, -418159?\nAnswer: -503334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5891674 is divided by 69?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 14*y**3 + 5*y**2 - 5*y + 5. Let w(r) be the second derivative of 21*r**5\/20 + 2*r**4\/3 - 4*r**3\/3 + 4*r**2 - r + 822. Determine -8*p(z) + 5*w(z).\nAnswer: -7*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1615 - 25314?\nAnswer: -23699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**2. Let x(t) = -25*t + 87. Let q(p) = 5*p - 16. Let g(f) = -11*q(f) - 2*x(f). Give g(o(d)).\nAnswer: -35*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/192 and 23\/44.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 459202130?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/5 (b) 287 (c) 3\/2 (d) -1\/4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 0*v**5 - 11\/6*v**3 + 0*v**6 - 2*v**2 + 0 + 0*v + 0*v**4 - 4\/105*v**7. Differentiate b(s) wrt s.\nAnswer: -32*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -10219.99.\nAnswer: -30659.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 144*x. Let s(t) = -t. Give 918*s(n) + 6*w(n).\nAnswer: -54*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 2 (c) -10\/78161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 6*n - 9. Let s be v(-11). Suppose j + 9 = 2*d, 6*d - 3*d + j = 16. Suppose -4617 = -d*g + s. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 400 and 640?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8*(-27)\/(-378))\/((-3)\/7)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -3*h**3 - 93*h**2 - 87*h + 106. Let q be s(-30). Solve q*f = -31*f - 235 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44077 rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/32 and 38\/(-8)*2808\/(-13360) + 87\/(-87).\nAnswer: 26720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 16 - 52*w**3 + 17*w**3.\nAnswer: -35*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002937155982 rounded to five decimal places?\nAnswer: 0.00294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*b - 61*b + 2184 = -73*b for b.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1260 times 229465?\nAnswer: -289125900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 + 12*g**2 + 2*g - 5. Let y be l(12). Let n = 40 - y. Let f be -12*(2 + n\/(-6)). Solve -5*m + f + 7 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h**2 - 9*h + 13. Let r(g) = 0*g**2 + 6*g**2 - 8*g**2 + 4*g - 6. Let i(t) = -4*j(t) - 9*r(t). Find the first derivative of i(f) wrt f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-37)\/(-338772)*-21*8\/(-3)*24\/(-16)\nAnswer: -1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s + 2. Suppose -12*a + 8*a = b + 2, 3*b - 2*a - 8 = 0. Suppose 63 = b*q + 5*q. Let d(c) = -12*c + 8. Calculate q*n(o) - 2*d(o).\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 152, -56870, 8.\nAnswer: -56870, 8, 152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 - 2. List the prime factors of c.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -11\/9. Let o = -17 + 22. Sort o, d, 2\/21 in ascending order.\nAnswer: 2\/21, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1398 + 1431. Suppose -37*g + t*g + 5*s = 0, -s = 4*g. Factor g - 1\/3*b - 1\/3*b**2.\nAnswer: -b*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -214*b - 10865. Determine d(-51).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 152174?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j + 7 = -29*j - 3*v - 33, -5*j - 2*v = 52 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100 + -3?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -31567395 minus 0.03?\nAnswer: -31567395.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3001 * 0.01446\nAnswer: 43.39446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-216)\/(-126))\/(2\/(-8)*138\/(-161)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 583*i**6\/60 - 413*i**5\/60 - 2101*i**2. What is the third derivative of n(h) wrt h?\nAnswer: 6996","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 10*g**2 - 25*g - 40. What is v(-8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25746?\nAnswer: 2, 3, 7, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 7 + 7)*(-4 - 1 + 4)*(-7*m + 8*m**2 + 7*m)*(0*m**2 - m**2 - m**2).\nAnswer: -224*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 8:21 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (7 + 26 + -42)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-6)*171\/12. Let d = q + 18. Calculate the highest common factor of d and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13426204, 26852439, 40278662, 53704867, 67131048, 80557199?\nAnswer: 93983314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 2. Let n be (-3 - -10) + (0 - p). Solve -4 = 5*y + n for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**3 - 6*x**2 - 5*x. Let b be h(-5). Suppose b = -4*v + 2*v + 4. What is the third derivative of -f**2 - 2*f**2 + f**3 - 5*f**3 + 0*f**v wrt f?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 7:35 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -27*n**2 - 15*n + 15. Let x(w) = -7*w**2 - 4*w + 4. Let c(u) = 4*o(u) - 15*x(u). Let s(l) = -21*l. What is c(s(z))?\nAnswer: -1323*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2226404133 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8081962 is divided by 808195.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - m + 474 + 120, 3*l = -2*m + 594. Suppose -4*d + l = 62. Suppose 0*c - c = -d. Calculate the greatest common factor of c and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 4\/5, -9, 5, -228?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -1. Let l(v) = v - 2. Let x(y) = -2*y + 3. Let a(f) = -l(f) - x(f). Calculate 3*a(t) - d(t).\nAnswer: 3*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 337, -14, -3 in decreasing order.\nAnswer: 337, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.394 + 235\nAnswer: 234.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-9)\/h)\/((h**26*h)\/h))**(6\/31) assuming h is positive.\nAnswer: h**(-216\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g + 105. Let p(w) = 7*w - 157. Let m be p(27). Let b be l(m). Solve 4 = 5*k - b*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -109 + 115. Solve 7*h - 1 = i*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 26868*l + 792 - 4*l**3 - 26376*l + 45*l**2 + 19*l**2 = 0.\nAnswer: -3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 37150693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -64783, -64752, -64693, -64600, -64467, -64288, -64057?\n\"Answer: s**3 + 8*s**2 - 64792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/2, 9\/64, -2, -4, 0.3, 2\/207?\nAnswer: 9\/64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.00444 in 0.2, -14, 2\/5, 4, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9352371, -18704748, -28057125, -37409502?\n\"Answer: -9352377*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/416 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that 360*b**5 - 2115*b**4 + 2815*b**3\/2 + 965*b**2 - 1285*b\/2 + 25 = 0.\nAnswer: -2\/3, 1\/24, 1\/2, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**5 + g**5 + 0*g**5 + (-g**3 + 1 - 1)*(-213 + 213 - 73*g**2).\nAnswer: 75*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l. Let z(y) = 8*y**2 - 39*y**2 + 11*y + 12*y**2 + 15*y**2. Determine z(f(w)).\nAnswer: -4*w**2 - 11*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 9. Put 3, w, 5\/4 in ascending order.\nAnswer: w, 5\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 13*s**2 - 18*s + 3. Determine g(4).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*l - 16 - 28 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*i, -5*k + 13 = i + 2*i. Suppose 0*r - 49499998 = -5*m + 2*r, k*m - 19799997 = 3*r. What is m rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 71. Let v = q - -4. Suppose 26 = 5*y + 3*f - v, -3*y + 34 = -f. Does 4 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a*o - 13471*a*z - 2*a + 137720*o*z**2 - 9*z**2 wrt o.\nAnswer: a + 137720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 2*c**2 - 3*c - 3. Let f(p) = 4458 + 3*p**2 - 4463 - 6*p + p. Give 6*f(m) - 10*z(m).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 197, -0.4, 2, -2, -4.2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -29 + (30 + 36 - -7).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -55 - -14. Let s = 74 + c. Calculate the remainder when 97 is divided by s.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 10*d - 86. Let q be h(9). Let m = 6 - 12. What is the nearest to m in q, 5, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2942509976 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*2*(-10)\/(-4). Let m = -512 - -522. Suppose k - m*c + u*c = -16, -4*c = -k - 11. Solve 1 - k = 4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 141232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -35013649 to the nearest ten thousand.\nAnswer: -35010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 9. Does 14 divide 1\/(z\/84) + -1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1669 + -2a7?\nAnswer: -1965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 105 - 54421?\nAnswer: -54312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41184213 + -1469.\nAnswer: -41185682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 110, 425, 944, 1661, 2570, 3665, 4940?\n\"Answer: -d**3 + 108*d**2 - 2*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(-1 + sqrt(1216) + 3*sqrt(1216)))**2.\nAnswer: -2304*sqrt(19) + 700452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = 8*v + 294. Let x = 189 - v. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j + 19, 1055095*m - 80 = 1055099*m + 4*j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 34 - 84bba?\nAnswer: -84b86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.571 * 0.3.\nAnswer: 0.1713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72*p**4 + 708*p**3 - 848*p**2 + 272*p.\nAnswer: -4*p*(2*p - 17)*(3*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 56b + 44a9?\nAnswer: 4a36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -23?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41274851 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-80)\/(-6)*(-75)\/(-2). Calculate the highest common divisor of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2098176188?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -841 - 872 + 180*v**2 + 1680 to c*v + j*v**2 + f and give f.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -837, -3221, -9719, -22389, -43289, -74477?\nAnswer: -118011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(3\/(-1) - (-1118)\/(-13)). Solve 80*t = s*t + 36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 410.2833 kilograms?\nAnswer: 0.4102833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -78.8562 and -0.07.\nAnswer: -78.9262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o - 5\/12*o**4 + 0 + 0*o**3 + 0*o**2 - 3\/20*o**5. Find the third derivative of h(x) wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.8150983ug?\nAnswer: 0.0000000000008150983","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9449 - 32a5?\nAnswer: -c721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 y when four letters picked without replacement from {y: 4, w: 9, g: 4}.\nAnswer: 9\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38019, -60471, -82923, -105375?\nAnswer: -127827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 15) in base 14?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9728 - -107006\/11. Let g be (166\/(-4) - -2)*2. Is g at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1229, -2455, -3679, -4901, -6121, -7339, -8555?\nAnswer: -9769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from bbbbbbbbbbbzzbbbbz?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7894 is divided by 869?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 5\/24*g**6 - 11\/4*g**2 + 273 - 63\/20*g**5 + 89\/16*g**4 + 0*g - 3\/4*g**3. Determine z, given that r(z) = 0.\nAnswer: -2\/5, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3585074.\nAnswer: 2, 71, 25247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o. Let i(g) = 6*g - 8. Calculate 2*i(y) + 10*w(y).\nAnswer: 2*y - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 - 5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42784 and 370349.\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0, -2\/3, -1\/9 in ascending order.\nAnswer: -10, -2\/3, -1\/9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*((-42)\/(-8) + -6). Suppose -5*s + 2 - 12 = 0. Which is greater: s or q?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 7.9944. Round n to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186278 divided by -186278.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -71, -152, -239, -332, -431?\n\"Answer: -3*l**2 - 72*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the second derivative of -n**5\/4 - 905*n**4\/12 + 455*n**3\/3 + 1790*n. Factor q(s).\nAnswer: -5*s*(s - 1)*(s + 182)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 5*v + 9. Let s(a) = a + 71. Let i be s(0). Let b = i + -42. What is the remainder when b is divided by k(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 3*m**2 + 3*m - 5. Let s be v(-3). Suppose 8*l - 4136 = s. List the prime factors of l.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -264*k**2 + 13*k - 67. What is the remainder when w(-1) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 + 3 = -5*r. Solve j - 2*j - 2*j**r + j = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -36*g**3 - 14*g**2 + 360*g - 63. Is q(-19) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j + 5*j + 2*i - 22 = 0, -i - 28 = -26 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 1. Let n(l) = -l - 5. Let m(g) = -n(g) + 4*y(g). Give m(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from wwwwwwwwqwwwwwwwwwww.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k, -2*w + 191 = 4*k - 1. Suppose -2*m = -3*b - w, -m - 3*b + 48 = -5*b. What is the greatest common divisor of m and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*s**3 + 58*s**3 + 63*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 35.64560599 and -0.47?\nAnswer: 36.11560599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 5*k - 2*f + 6, 4*k + 5*f = -9. What is the second derivative of 12*d + 4741*d**k - 4635*d**4 + 16*d wrt d?\nAnswer: 1272*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 1. Let v = -2 + k. Let r = 9 + v. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2349 = 4*n, -29*n + 27*n + 938 = 2*r. What is the remainder when r is divided by 95?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3, -10\/9, -0.151, -0.5, 5?\nAnswer: -0.151","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59545 - 59550. Suppose 4 = -d + 2*d. What is the biggest value in d, s, 8\/9, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88687 is divided by 931.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 136244799, 272489598, 408734397, 544979196?\n\"Answer: 136244799*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 5. Suppose 2*z = z + x. Suppose 0 = z*j - 5*o, 3*o - 8 = -5*j - 0*o. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {l: 1, n: 4, e: 2, m: 10}?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5402 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54376153 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -488861150*b + 91812169.\nAnswer: -488861150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 306. Let n(g) = -3*g - 53. Give n(w(b)).\nAnswer: 3*b + 865","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**2 + 28*o + 772. What is h(28)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/9 + 42\/(-9))\/1. Let x be (4\/8 + h)*(-15 + 1). Calculate the highest common divisor of 343 and x.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 87269\/12 - 7270. What is the common denominator of h and 93\/8 + 2\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**3 - 8763*h**2 + 277029*h + 910035 = 0.\nAnswer: -3, 35, 2889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4584675434.\nAnswer: 2, 2292337717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 949, 1905, 2863, 3823, 4785, 5749, 6715?\nAnswer: 7683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 0) + (5 + 6 - 7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 6)*(-12*p + 5*p + 18*p)*(137*p**2 + 48*p**2 + 49*p**2).\nAnswer: -7722*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 - 2*i + 2*i)*(-488*i - 138*i - 22*i + 3 - 366*i)*(-2 + 1 + 0).\nAnswer: -1014*i**3 + 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1698 - 1482. Calculate the remainder when c is divided by 55.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -5164?\nAnswer: 5160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 372 to the nearest 10.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - 7*z - 9*z)*((6 - 4 - 3)*(2 + 0 - 4) + (1 + 1 - 4)*(30 + 23 + 18) - 5 - 2 + 6).\nAnswer: 1833*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-35245)\/(-684))\/(-35) - (-5)\/4*(10 - 9). Let l = -0.2 - -0.5. Let n = 0 + -0.2. What is the third smallest value in 0.12, l, n, h?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*q = -2*f + 15, -20 = -5*f - 4*q. Suppose -2*w + 3*r + 0*r + 21 = f, -w + 2*r + 12 = 0. Let g be 4\/(-3)*(-9)\/w. Let v(l) = -6*l + 3. Give v(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/(-60)*45\/18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -2200311232321?\nAnswer: -2200311232320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 8) to base 16\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -r - 5535. Suppose 0 = 2*m + 3*m + r. Let w = m + 541. Does 43 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 3926 and 3911 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 5*m**3 - 2 - 2*m**3 - m + m - m in the form c*m**2 + p + v*m + b*m**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (5 + (-4 - -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -88423 divided by 1?\nAnswer: -88423","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of 0*g - 27 + 2\/9*g**3 + 0*g**2. Find j, given that a(j) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.06? (a) -1 (b) -0.14 (c) 0.5 (d) 22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(sqrt(243) + -4*(sqrt(243) + (sqrt(243) - (sqrt(243) - 1*sqrt(243)))) + sqrt(243)) + 5 + (-6*(0 + sqrt(243)) - (sqrt(243) + 1)*2))**2.\nAnswer: 47628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12\/119 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*g - 3*g + 3*f, g - 2*f = 7. Let d = 67 - g. List the prime factors of d.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.3, 0.18, -3, -2.6?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 176\/132*(-18)\/4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7326 divided by 6124.\nAnswer: -3663\/3062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 123951\/20 + -6200. Let o = -1\/411127 + -410533\/244209438. What is the common denominator of o and c?\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*x + 1814 - 1844. Solve -8*k + x - 21 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 7. Let k be h(0). Suppose -b = -2*z - 13, 3*b - 46*z - 27 = -42*z. Solve -3*p + b = k for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c + 0*c - 10 - 5*c. List the prime factors of a(-6).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 312 + -194. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33394 is divided by 856?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-825))\/(196\/(-2156))?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 2:12 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -10527347 rounded to the nearest ten thousand?\nAnswer: -10530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 10:29 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6.5321 times 6\nAnswer: -39.1926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -1. Suppose 2*c - q = 4. Calculate the least common multiple of 11 and c.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 755454.4 days in milliseconds?\nAnswer: 65271260160000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 861 divided by 3?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.1 and 0.2476842.\nAnswer: -0.52013682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3951924709 to the nearest integer?\nAnswer: 62864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106555, -426808, -960753, -1708384, -2669695, -3844680, -5233333, -6835648?\nAnswer: -8651619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -37. Suppose -5*y = -4*k + 44, 2*k + 11 + a = -2*y. Is y at most as big as -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -5, 1, -65?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -112 + -1103323?\nAnswer: -1110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -94*a - 46. Let c = -186 + 183. List the prime factors of p(c).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 120149323 and 0.4.\nAnswer: 48059729.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnunnuiuuuunun. What is prob of sequence un?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnq when three letters picked without replacement from nqdtndqnnqnqn.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010021310 (base 4) to base 6.\nAnswer: 34501140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b + 8 + 0 - 6)*(-36*b**3 + 16068*b**2 - 16068*b**2).\nAnswer: 108*b**4 - 72*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 293175043*i**2*p**2 + 72*i*p - 14*i - 3*p**2 - 38 wrt i.\nAnswer: 586350086*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*i - 5*k, 4*k - 13 + 3 = i. Let t be -21*i\/(-3) - (7 - 3). Solve 5*z = t*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/15)\/((-602)\/(-2709)))\/(9*-1)\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6)\/((q\/q**(-1\/12))\/q*q)*(q**0)**2)**(-10\/17) assuming q is positive.\nAnswer: q**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -210 less than -835\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0.1, -0.264, -0.1 in decreasing order.\nAnswer: 0.1, -0.1, -0.264, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/4 of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-282)\/15)\/(-4*14\/140). Solve -15*z - u = -62 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71998?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7917 and 26709?\nAnswer: 2430519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*h - 6*h. Suppose -h*a = -0*a - 25. Solve 5*f = -x + 3*x - 1, -x + a*f = -3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5036842287 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 4. Suppose 0 = 34*o - 36*o + z + 9, o + 4*z - 9 = 0. Suppose -5 = p - 5*r + 1, 2*p - o*r = -12. Sort p, 0, -1, q in increasing order.\nAnswer: p, q, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -312 divided by -1222\nAnswer: 12\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 + -8. Which is greater: 7\/5 or u?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 908 - 284 = 12*f. Suppose 0 = x + 4*o + 18, 5*x + 0*o + o = -f. Sort x, 0, -3.\nAnswer: x, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 339 + -817. Let p = 1417\/3 + g. Calculate the common denominator of 122\/16 - 1 - -2 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by -1?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10414*a**3 - 10*a**2 - 34*a + 142702440 wrt a?\nAnswer: -31242*a**2 - 20*a - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 8:02 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*a - 14*a - 2*l - 875, 4*a + 3*l - 3599 = 0. What is the remainder when a is divided by 67?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/1452 and (213231\/483516 + (-4)\/9)*10.\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10 - -6. Let n be (0 - 0)\/(3 + v). Factor 2\/3*s**3 + 1\/3 - 1\/3*s**4 + n*s**2 - 2\/3*s.\nAnswer: -(s - 1)**3*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + v - 2*v + 10, -l + v + 4 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (12*130\/(-300))\/(2\/5)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 6*c - 4. Give l(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5768 is divided by 36?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + n**2 - n + 8. List the prime factors of z(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/2 + (33 - 24) + -7.\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence emm when three letters picked without replacement from wssusmess.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -617*a*k**3 + 176*a*k - 4*a + 22*k**3 - 117 wrt k.\nAnswer: -3702*a*k + 132*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -4\/17720103 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 332973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*x - x - 4*w, 3*x - 13 = 5*w. Let t = -12 - x. Let y = t + 23. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -4*r + 976, 2*r + 18 = 12. Suppose -13*c + 0*c - t = 0. What is the nearest to 1\/2 in -0.3, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (15 - (48 - 24))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 687179?\nAnswer: 68717d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*z + 2*z + 4*z)*(-309 + 323 + 183)*(6 + 2 + 0) in the form j*z + v and give j.\nAnswer: 3152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 1. Let g(a) = 7*a - 2*a + 76 - 76. Give g(f) - 2*j(f).\nAnswer: 5*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 536\/4729109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*s = -4*s + 58, 0 = 2*v - 4*s - 44. Calculate the remainder when 76 is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*c + 30 = 3*c, 4*j = -5*c - 18. Let b = 11 + j. Let r(m) = 4*m - 5*m**3 + 4*m**3 + 4 - 3*m - b*m**2. Determine r(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gvvozdgodzvvzoy. Give prob of picking 2 g.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8421822569\/1066040 + 7\/213208. Let h = x - 7893. Calculate the common denominator of h and -30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 25. Is c\/((12\/(-4))\/21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2661 is divided by 267.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.08 - -9.08. Which is the biggest value? (a) z (b) -2 (c) 1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1036\/555*(-20)\/24.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 129*i - 610519 + 618130 for i.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of 0 + 1\/2*z**4 + z + 0*z**3 + 0*z**2. Let s(v) = -50*v + 28*v + 24*v. Calculate s(o(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**6*(x**(-4)\/x)\/x*x**11\/x*x**(-2\/7) assuming x is positive.\nAnswer: x**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 + 12 + -8 + 8. Solve t - 10 = 3*r, -r = 3*t + l*r - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -6*y - 13. Let f be ((-24)\/(-5))\/((-21)\/70). Let a be b(f). Suppose 2*w - a = -4*z + 149, 160 = 3*z - 2*w. Is z a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/2 + (-10 - -13). Suppose 2*z + w*l = -29, -3*z - 23 = 3*l - 2. Calculate the common denominator of 188\/(-12) - (2 + (-2 - z)) and -11\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -568 + 1025. What is the hundreds digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*(k\/k**(-17\/6))\/k*k*k)\/(((k*k\/(k**(24\/7)\/k))\/k)\/k*k*k)*(k**(-36)\/k*k)\/k**(-16))**6 assuming k is positive.\nAnswer: k**(-535\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 3*g = 6, -4*t - 3*g - 18 = 3. Let c be (-9)\/(-36) - 1\/4. Let w(n) = c*n + 6*n - 4*n - 2 + n. Let d(x) = x**3 + 13*x - 8. Determine t*w(s) + 2*d(s).\nAnswer: 2*s**3 - s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, i: 5, b: 5, l: 6, t: 1}. Give prob of picking 1 b and 1 t.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.047 (b) 19085 (c) -1.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/((-80)\/55)*4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/85, -1\/5, 1\/2?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1)*y)**(-1\/7)*y**(1\/3)\/(y\/(y*y*y\/(y*y\/(y\/(y*y*y**(-1\/3)*y*y))*y))))**(-1\/7) assuming y is positive.\nAnswer: y**(10\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/656 and -4\/7.\nAnswer: 4592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -18*f. Let r(b) be the third derivative of -b**4\/12 - 6*b**2. What is y(r(j))?\nAnswer: 36*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11037214933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 17*o + 37. Let y(u) = 8*u + 18. Let l(s) = 4*r(s) - 9*y(s). Let c be l(-4). Solve c*z = 3*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 18. Let d be m(20). Let p(h) be the first derivative of -2*h - 680 - 4*h**2 + 666 + 5*h**d. Calculate p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89844 divided by 2\nAnswer: -44922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6110835?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**3\/5 + 113*s**2 - 56244*s\/5.\nAnswer: -s*(s - 436)*(s - 129)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 1308 - 43. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8040 + 3705 = 15*p. What are the prime factors of p?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 - 315 = -75*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.597418 to 0 decimal places.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -5495158.\nAnswer: -15\/5495158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = 2*n + 63. Let l(k) = k**3 + 7*k**2. Calculate l(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39777993?\nAnswer: 3, 233, 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11510229.\nAnswer: 3, 3836743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 w when three letters picked without replacement from {c: 4, w: 6, n: 4}?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -361*l - 2*l**2 - 3*l**2 + 364*l + (-3 + 3 + 2*l**2)*(-2 + 0 + 4) + (-l - l + 0*l)*(l - 3*l + 3*l).\nAnswer: -3*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7805 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: Calculate ((-5166)\/6888)\/((-15)\/(-380)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -388096.463 rounded to the nearest 100?\nAnswer: -388100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3649a - 3?\nAnswer: 36497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 69088 by -4.\nAnswer: -17272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8884 - -8885. Which is bigger: -2\/12061 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5350 + 5351. Let o = 3\/119 + 211\/1071. Which is the second biggest value? (a) 45 (b) o (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 283064 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 - -45. Factor -u + 1\/2*u**4 + 0*u**3 - 3\/2*u**d + 0.\nAnswer: u*(u - 2)*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -30\/11 and (-90)\/(-8) + 0 + 1?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -28668812746070 and 0.1?\nAnswer: 28668812746070.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/236 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -9447.10565832 and 956?\nAnswer: 10403.10565832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -11*b**2 + 2*b + 1. Let h be s(-2). Let g = 69 + h. What is the remainder when g is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634 (base 13) to base 6.\nAnswer: 4521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.57089 * -4.26\nAnswer: -15.2119914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 201151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x - 81 = 34*x. Let t = 107 + x. Is 80 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**2 - 6*u + 4. Let y be k(4). Suppose 0 = 5*b - 5, -5*b + 75 = -4*x + 5*x. What is the greatest common factor of x and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2020284 and 2020284.\nAnswer: 2020284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 8*d - 6. Suppose 5*i - 7 = 3. Suppose -i*h + 21 = h. What is the least common multiple of h and s(6)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3328 and 156.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1651155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 5*b**2 - 2*b - 2. Let a = 3 + 4. Suppose -h - 5*s = -a, 3*h = -4*s - 2 - 10. Let i = h + 12. What is y(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6792061 to three decimal places.\nAnswer: 0.679","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400 = 1086*g - 1166*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (264*n**2 + 6 - 288*n**2 + 13*n - 14*n)*(-6 + 12 - 25) to the form q + v*n + x*n**2 and give q.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.07 - 1438.\nAnswer: -1437.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from guuquuquuvuuqu. Give prob of picking 1 q, 1 u, and 1 v.\nAnswer: 27\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-39)\/2 + 1\/2. Let h = -7 - p. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 2474280?\nAnswer: 9897120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 4*x - 8 = 0, -2*x - 7 = -1. Let t be 1*(1\/1 + o). Are t and 0.4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**4\/4 - c**3\/2 + 2*c**2. What is the remainder when 40 is divided by u(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {t: 3, v: 3, l: 3, d: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**2 - 18*t - 3. Let j(c) = c. Let o = 7 - 6. Let w(m) = o*g(m) + 18*j(m). Differentiate w(d) wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/5 - 100416*j\/5 + 1260421632\/5 = 0.\nAnswer: 25104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 11:22 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 21920*a. Let d(k) = 137*k. What is 959*d(b) - 6*x(b)?\nAnswer: -137*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes after 3:08 AM?\nAnswer: 3:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -162\/11, 0.2, -5, -99\/5, 3 in increasing order.\nAnswer: -99\/5, -162\/11, -5, 0.2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15)\/((11\/200)\/11). Round y to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(8\/13)*s*s))**(4\/9)\/(s**(-50)*s\/((s*s*s**(-4\/11)*s)\/s)))**(-6\/25) assuming s is positive.\nAnswer: s**(-42918\/3575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 5*t + 2*t**2 + 256*t + 262*t.\nAnswer: 2*t**2 + 513*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 95182\/3 or 31726?\nAnswer: 95182\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.1 - -3.1. Let j = -6.08 + 6. Let z = 41058.3 + -41058. What is the third smallest value in j, l, -2, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*(1 + 1 - 5). Let s = -17951 + 17953. Solve s*a + t = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zvvvvzvvv. Give prob of sequence zvv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.57335m in micrometers?\nAnswer: 7573350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = -5008 + 23356 + 2472. Calculate the greatest common divisor of 24 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 140 in increasing order.\nAnswer: -2, -1, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 + 14*u + 35. Let f be h(-5). Calculate the highest common factor of 200 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -122, -5, -0.6, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5953764654?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -2*h**2 - 4*h. Let o(p) = -1171*p**2 - 17*p. Determine 5*n(s) - o(s).\nAnswer: 1161*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**4 + 52*a**3 - 2*a**2 + 246483*a.\nAnswer: -60*a**2 + 312*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -88 + 179. Let d = -480 + -96. Let v = d + 602. What is the highest common factor of v and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -2, 3, -73, 5, -13, 67 in decreasing order.\nAnswer: 67, 5, 3, -2, -13, -26, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 800 = 2*d + a - 104, 4*d + 4*a - 1816 = 0. Suppose 0*q = -5*q + d. Factor 1 - 92*i**2 + q*i**2 + 8*i - 9.\nAnswer: -2*(i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 22*z**2 + 20*z - 26. Let d be l(-21). Let g(y) = -10*y + 10. Let f(n) = 81*n - 81. Let j(r) = 4*f(r) + 33*g(r). Is j(d) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 70505 - ca?\nAnswer: 7043b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 655229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 4)*(i**2 - 2*i**2 + 3*i**2)*(-2*i**2 + i - i).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 59. Let z = m - 32. Let d be (11 - 5)\/((-3)\/(-2)). Solve 9 = -3*b - 3*c, z*b + d*c + 6 = -6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3\/5 - 2*d**2\/5 + 1995*d - 376884\/5.\nAnswer: -(d - 57)**2*(d + 116)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + 3\/((-12)\/(-16)). Suppose w*m - 76 = -4*m. Let p = m + -2. Calculate the remainder when p is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-4)))\/(h\/h**(2\/5)))**(-7\/3)\/((h**(-1\/4)\/h)**(-1)*(h\/(h*h**(1\/4)*h))\/((h**(2\/9)\/h*h)\/h)) assuming h is positive.\nAnswer: h**(448\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p**3 + 2*p**2 + 2*p + 1. Let b be z(-2). Let t = b - -6. Let a(s) = s**2 + s + 1. Calculate the remainder when 60 is divided by a(t).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -4*b + 56. Suppose 3*k - b + 2 = -3*m, 0 = 3*m + 2*k - 6. Solve -9*w**2 + 39*w**3 + 9*w**4 - 2 - 6*w - 33*w**3 + m = 0 for w.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 0*m - 17*m - 8*m**2 + 4*m - m**3 + 1. What is the units digit of j(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggtyggyyyg. What is prob of sequence ytg?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 - 63935*b\/4 - 12030294.\nAnswer: (b - 64679)*(b + 744)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 55794, 55796, 55798, 55800?\n\"Answer: 2*f + 55792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8*l**2 - 5*l - 5. Let s(g) be the second derivative of -17*g**4\/12 - 11*g**3\/6 - 11*g**2\/2 + 6*g - 3. Give -13*i(m) + 6*s(m).\nAnswer: 2*m**2 - m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 9*j + 26. Calculate h(-6).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 13, 2, -12, 3\/10, -0.8, -5, -2\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 9*i - 10*i. Let z = 167 - i. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o + 4*o - o)*(-6 + 2 + 2) - 2*o + 0*o + 4*o to u + y*o and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -297, -351, -451, -615?\nAnswer: -861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14232021*n**3*r**4 - 2*n**3*r - 2*n**2*r + 15727041 wrt r.\nAnswer: 170784252*n**3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - v**2 - 2*v**2)*(-10 - 2 + 3)*(22*v + 27*v - 18*v)*(-3*v**2 - 2*v + 2*v).\nAnswer: 837*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17355270 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2583*p - 2585*p + 2*p**2 + 10*p**3 + p**2 to s*p**2 + n + v*p + k*p**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(5907\/199764)*55\/(-10)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 - -127. Let y be (-808)\/(-32) - 3\/(-4). Suppose -j - y = -3*l. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 6:46 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 325\/3 - 3593\/33. Let q = -614 - -618. What is the nearest to g in -2\/9, q, 0.6, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 56 = -4*r - 7*x, 7*x + 30 = 2*r - 68 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 282835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 123*g**3 - 4*g**3 + 127*g**3 - 83 + 4 wrt g?\nAnswer: 738*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 75. Let c = -71 + b. Suppose -4*f - 4*i = 4, 0*f + c*i = 2*f - 16. Solve 0 = -2*k + 4*q + 8, -7*q + 2*q = -f*k + 10 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18\/(-8)*(-6962048)\/654?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of 5*r**7\/42 - r**3 + 7*r. Find the second derivative of z(x) wrt x.\nAnswer: 100*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 5:58 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2016 and 2560.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -0.23752315427.\nAnswer: -2.23752315427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*t + 12 - t**2 + 11*t - 3 in the form v*t + j*t**2 + x and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 50. Calculate the remainder when t(-18) is divided by 37.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000961 to 6 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 10, 90, 196, 340, 534, 790, 1120, 1536?\n\"Answer: 2*w**3 + w**2 + 63*w - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 9*n**2 - 21*n - 13. Determine l(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8878, -8882, -8886, -8890?\nAnswer: -8894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 2*d + 3617 = 0, -2*t + 1105 = -d - 1318. What is the highest common divisor of t and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21e7 + 4?\nAnswer: 21eb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 24 = -77. Let s = 46 - o. Let g(b) be the second derivative of b**3\/3 + 4*b**2 - 21*b. What is g(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6281*z**2 - 13*z + 6316*z**2 + 10*z.\nAnswer: 35*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.57 - -0.21. Let q = -0.06 - w. Which is the smallest value? (a) q (b) -0.3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p + 42. Give h(13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-10) + (-6)\/4. Let q(j) = 3*j**2 - j - 5. Let i be q(f). Suppose 3*u - i = 9. Solve -p + 3*o - u*o + 17 = 0, -3*p - 3*o = -21 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22*x**2 - 151*x - 1321 wrt x?\nAnswer: -44*x - 151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, -5, 0.06, 51.21, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**8\/b*b**(-1)\/b*(b\/(b*b\/(b*b\/b**(-1))))**(-2\/61) assuming b is positive.\nAnswer: b**(362\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 357631128 a multiple of 186?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -19*f + 3. Let p be s(-3). Let z = 97 - p. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5 = o, 4*o + 4*z + 8 = 6*z. What is the closest to -1\/2 in 89, o, 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -298893965 divided by -1607\nAnswer: 185995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from ccaccaysayyasaa.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 9*z - 2949489. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42653.2 times 0.2?\nAnswer: 8530.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*c + 5*z = -20, 2*c - 3*z - 6 = 0. Calculate the common denominator of 3\/c - 93\/4 and (105\/28)\/((-11)\/(-2)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 686306, 1372613, 2058920, 2745227, 3431534?\n\"Answer: 686307*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 361742 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -910 smaller than -910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211346 is divided by 42257.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 582*z + 4071. Determine a(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 5*x**3\/3 + 25*x**2 - 32680*x + 4822960\/3 = 0.\nAnswer: -167, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uf when two letters picked without replacement from uuuuvfuufvuuuuv?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 8*s - 3*s)*(-3*s - 3*s - 4*s)*(1 - 2 + 3).\nAnswer: 240*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 202 - 1568 - 203 - j - 2799 in the form z + s*j and give z.\nAnswer: -4368","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/12 and -97\/9624.\nAnswer: 9624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4331910 a multiple of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**19)\/g)\/g)\/g)**(-2\/95)*g\/(g**(-3\/8)\/g)*(g*(g*g**(-2))\/g)\/g assuming g is positive.\nAnswer: g**(621\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z - 5*z - 9. Suppose -4*m = -4*s - 616, z*m + 0*s - 454 = -s. Suppose 5*i = -v + 96, -2*v + 0*i - 2*i = -m. What are the prime factors of v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 16*w**4 + 11*w**3 - 31*w**2 + 5*w + 25. Let u(y) = -23*y**4 - 16*y**3 + 47*y**2 - 7*y - 35. Let n(m) = 7*k(m) + 5*u(m). Factor n(p).\nAnswer: -3*p**2*(p - 2)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - l - 1. Determine j(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n**3 + 132*n**2 + 224*n + 48 = 0. Calculate n.\nAnswer: -6, -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6783331732 to the power of 1\/3, to the nearest integer?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4 = -4*s. Let t be 1 - 2 - 1*-2. Suppose 0 = 2*d - 5*p - 3, -2*p + s = -t. Solve d*b + 10 = 2*o, -4*o + 14 - 42 = 4*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.4 (c) -3 (d) -1\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -5*z**2. Let j(m) be the first derivative of -407*m**2\/2 + 2539. Determine x(j(c)).\nAnswer: -828245*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4 + -0.1. Which is the nearest to 1\/4? (a) v (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2303, 4589, 6875, 9161?\n\"Answer: 2286*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3084 divided by 1?\nAnswer: 3084","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 199 + -128?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 86 = h + 4*z, -3*h + 226 = -4*z. Suppose 14*k + 62 = -h. Let u(r) = -r**2 - 13*r + 8. Give u(k).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -370, -539, -692, -823, -926?\nAnswer: -995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 - 2*p**2 + p - 3. Let l(a) = -2*a**3 - 3*a**2 - 2. What is 2*l(f) - 3*m(f)?\nAnswer: -f**3 - 3*f + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 256 = -4*i - t, -2*i = -t - 136. Let g = 109 - i. Suppose q - g = -4*q - z, 35 = 5*q + 5*z. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.86 + -4.14. What is the second biggest value in v, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/5 + 12*l - 216\/5.\nAnswer: -4*(l - 9)*(l - 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2593*j + 63230 + 45676 for j.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*r, 11 + 4 = -3*i + 3*r. Let y(j) = j**3 + 7*j**2 + 5*j - 3. Determine y(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -497300 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26706, -12, -7 in decreasing order.\nAnswer: 26706, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = s + 3*i + 2*i, -5*s + 5*i = -25. Suppose 5*v - 17 = s. Does 17 divide (-41*(v + -6))\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 279.\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.143049 centimeters?\nAnswer: 11.43049","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -12 + 18*(-143)\/(-208). Put 5, y, 0.4, 2 in descending order.\nAnswer: 5, 2, 0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 3*m = -48, -3*f - 146*m = -141*m - 58. Solve f*i - 10*i = -1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of 1\/10*y**5 + 0*y + 1\/112*y**8 + 0 - 3\/40*y**6 - 11*y**2 + 0*y**4 + 0*y**7 + 0*y**3. Factor d(b).\nAnswer: 3*b**2*(b - 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 33*u + 65. Determine o(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 15*n + 36 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 434 and -1480.0924114.\nAnswer: -1046.0924114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -4*t + 5*l + 1419 - 1382, 7*l = 2*l - 55 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + 114. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419018429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/7 - 594*b**2\/7 + 171*b - 600\/7.\nAnswer: -3*(b - 1)**2*(b + 200)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -80*o + 56. Determine v(-1).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*u - 1 + 1)*(5 + 1 - 4) - 115 + 61*u + 115 + (1 + 2 - 1)*(3*u - u - u) + 2*u - 3*u + 0*u + u - 2*u - 2*u in the form f*u + d and give f.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + u + 0*u)*(2 - u - 2)*(-3*u + u + 4*u)*(-2*u - u - 3*u).\nAnswer: 24*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**3 - 1 - 31*h + 31*h to l*h + a + c*h**3 + n*h**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 446, -15, 1 in descending order.\nAnswer: 446, 7, 1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + 6*l**3 - 4*l**3 + (0*l - 4*l + 3*l)*(3*l - 3*l + 2*l**2) + 3*l**3 - 4*l**3 + 3*l**3 + (-l**2 + 1 - 1)*(0*l - l - l) + 4*l**3 - 5*l**3 + 0*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -16175 divided by 5?\nAnswer: -3235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-203)\/(-12))\/(-7) + 1801 + -1799?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4002 divided by 46.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 10800000 = -8*k. What is k rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 + z**3 + 1156 - 6*z**3 + 220*z - 73 - 218*z to the form v*z**2 + b + k*z + g*z**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 117*v**2 + 63*v + 310. Does 14 divide r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 20, -8, -76, -196, -380, -640, -988?\nAnswer: -1436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1444, 2888, 4332, 5776, 7220, 8664?\n\"Answer: 1444*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/1426 and -68\/2139.\nAnswer: 4278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/t**(2\/3)))\/t*t\/(t*t**7\/t)*((t*t**(-8))\/t)\/(t\/(t**(-1\/4)*t)) assuming t is positive.\nAnswer: t**(-175\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 9 = 3*l. Suppose -l*i + 343 = 2*u, -3*u = -i - u + 117. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(171) - sqrt(171)*-2))\/((-1*sqrt(99))\/sqrt(11) - sqrt(9)).\nAnswer: -9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 30, 52, 74, 96?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23 + -43. Let n = d + 19.99983. What is n rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-4 + -1 - -6) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2 - 80625*d - 1047280.\nAnswer: -5*(d + 13)*(d + 16112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 divided by -1.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - g**2. Let m(s) = -3*s**3 - s**2 + 3. Determine -m(y) + w(y).\nAnswer: 2*y**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g*g\/g**(-1\/11)*g*g*g)\/g)\/((g*g\/g**9*g*g)\/g))\/(g**(-5)\/(g**4\/g*g*g)))**(-9\/7) assuming g is positive.\nAnswer: g**(-2088\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001029 rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-9)\/(36\/8) + 6 + -2. Suppose -v*m - 1 + 63 = 0. What is the second derivative of -m*j**3 + 13*j**2 - 13*j**2 - 10*j wrt j?\nAnswer: -186*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1377711 and 13028?\nAnswer: 5510844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -986 + 991 = -d + 2*z, 2*z - 25 = 5*d - 3*z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**0))**(-7)\/((w*w**(-2\/7))\/((w*w*w**(1\/3))\/w)))**(-2\/19) assuming w is positive.\nAnswer: w**(-26\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37259440 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -4*i - 3 + 11*i + i**2 + 5. Let r(m) = -60*m + 3. Let w be r(-2). Let s = 117 - w. Determine g(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 49*i + 12. Is v(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b + 9. Suppose 0*v - 3*v + 24 = 0. Let y = v - 4. Suppose -3*o + y*c + 21 = 2*c, -5*o = -4*c - 35. Determine j(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 29*j = 24*j + 18, -58 = -q + 24*j for q.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106343, -106341, -106339?\nAnswer: -106337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((46\/(-230))\/((-7)\/(-4)))\/((300\/14)\/(-15)).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.6 (c) 3 (d) 5 (e) 6.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-14 - (-12)\/4). Which is bigger: 11 or m?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231580000 rounded to the nearest 1000000?\nAnswer: 232000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1787 - 707 = 12*k. Suppose 0 = 5*j - 47 - 378. Let r = k - j. Calculate the greatest common divisor of 10 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 - 12342\nAnswer: -12341.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f - 5*g - 25 = -9*f, 10 - 19 = -3*f - g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7804\/(-72))\/(20\/6). Let y = -361\/10 - b. Calculate the common denominator of 218\/24 + (-12)\/(-18) and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -72b (base 12) in base 5?\nAnswer: -13133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 120 by -2185.\nAnswer: -24\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -422411 or -844821\/2?\nAnswer: -422411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 66073, 132135, 198193, 264247, 330297, 396343?\n\"Answer: -2*x**2 + 66068*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z - 6*z**2 - 7*z**2 - 9*z**2 + 2*z**3 + 8*z**2 - 2*z**2 in the form f*z + n*z**2 + c + u*z**3 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*t - 26, -2*t + 16 = -0*t + m. Suppose 0 = 4*z + 2*n - 38, -5*n - 7 - 30 = -2*z. What is the least common multiple of z and t?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m - 4. Let h be n(-4). Let f be (1 - -5)\/(18\/h). Suppose 2*u + 4*a = 5*u - 14, 2*u + 4*a + 24 = 0. Put f, u, 3 in ascending order.\nAnswer: u, 3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 19, 45, 101, 199?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-54)\/9*((-30)\/16 - -2). Let s = 2.5 + -2.1. Put -0.5, s, 4, u in descending order.\nAnswer: 4, s, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/15*(-18)\/4. Let l(t) = -1 + b - 2 - 3*t. Let q = 33 + -37. Calculate l(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4820842 to the power of 1\/3, to the nearest integer?\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**4 + 10*p - 10*p + (-p**4 + p**4 - p**4)*(-1 - 1 - 1) + (-4*p**2 - 2*p**2 + 4*p**2)*(-4*p**2 + 2*p**2 + 0*p**2) - 4*p**4 + 4*p**4 + 2*p**4.\nAnswer: 14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 129729 + -87928. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94024 + -93863. Let h = 7 - 12. What is the third biggest value in p, 0.1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13565 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**5\/60 - p**4\/24 - 2*p**3\/3 + 2*p**2. Let r be g(3). What is the tens digit of ((-65)\/(-15))\/(r\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 233788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.03 (b) -0.07 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/14 and 139\/150.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116549 is divided by 2640?\nAnswer: 2469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-70)\/(-5) + -2 + -5 + 860. Let s = r + -867. Find a, given that 0*a + s + 2\/15*a**3 - 2\/3*a**2 = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 71602 is divided by 170?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 1\/12*w**4 + 0 + 36*w**2 + 0*w**3 - 163*w. Let r(g) = -3*g. Determine r(q(i)).\nAnswer: -3*i**2 - 216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 22*j - 34*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 2658?\nAnswer: -2655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, o: 6, e: 2}. Give prob of sequence errr.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9640 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 divided by -5?\nAnswer: -571\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3097 + -65035\/21. Suppose 3*n - 5 = -23. Let t be ((-3)\/(-9))\/((-2)\/n). What is the nearest to -2\/3 in t, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35\/6 - 67\/12. Suppose f + 22 = -m - 2, -2*m = -2. Let x be 1\/(1 - f\/(-10)). Which is the third smallest value? (a) x (b) w (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 2 + 6 - (-1 + 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9bc (base 14) to base 3\nAnswer: 2122111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3014\/9438 + (-4)\/(-286)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*k + 2*k + 13*k + 9*k**2 + 2*k - 23*k + 51*k**3 in the form m*k + h*k**2 + a*k**3 + q and give a.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 9*w = -5. Let u = 1 + w. Solve -u*q = -2*d - 12, 2*q + 2*q - 2*d = 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((3 - 1) + 3 + -3 + -15 + 4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5726 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5019.056 + 5036. Let x = k - 17. What is x rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 13*d**3 + 10*d**2 + 4*d. Let s(k) = -6*k**3 - 5*k**2 - 2*k. Calculate 4*q(b) + 9*s(b).\nAnswer: -2*b**3 - 5*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1812 - -4?\nAnswer: -1807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -1 + 21. Suppose -d*t = -2*m - 10, 0 = 4*t - 4*m - 8 - 0. Suppose 5*b - t*q - 4 = 1, -5*b + 2*q + 10 = 0. Solve -b + 2 = s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l + 14*l + l)*(-6*l + 4*l + 0*l + 5*l - 3*l - l + (l + l + 0*l)*(-3 + 1 + 4)).\nAnswer: 45*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 306085994 and 1213.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 - d**4 - 2*d**4 - 2*d**3 + 2*d + 4*d**4 in the form n*d**2 + g*d**4 + h + v*d + y*d**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.09, 2\/37, 40.56, -2\/3, -3\/2, 3\/2?\nAnswer: 40.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 21169.6 + -21170. Which is the nearest to -0.05? (a) -4 (b) h (c) -19 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/32929, -19, -1, 3.\nAnswer: -19, -1, -3\/32929, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 759 is divided by 90?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -15403725*p**3*q + 59359700*p**3 - 4*p**2*q - 2*q with respect to q.\nAnswer: -15403725*p**3 - 4*p**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 3*l + 41, -20*l - 41 = -5*x - 241 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 28. Let h = o - 30. Sort 5, h, 2.\nAnswer: h, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32+35838954583132\nAnswer: 35838954583100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 3*u. Let z(i) = 10*i**2 + 14*i. Suppose 4*g = -5 - 3. Give g*z(f) + 11*t(f).\nAnswer: 2*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 724954 is divided by 8881.\nAnswer: 5593","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58680*g - 57929*g + 120980*g.\nAnswer: 4371*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67172 divided by -81.\nAnswer: 67172\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 210410 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + -29. Let k be (-8)\/(-9)*(-4 + v\/(-8)). What is the second smallest value in -0.1, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.281 * 2582.\nAnswer: -8471.542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1314, -1311, -1308, -1305, -1302, -1299?\n\"Answer: 3*x - 1317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j**2 + 6*j + 13. Let s be p(6). Let f = s - -347. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 14 = 4*g. Calculate the smallest common multiple of g and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -1983*v - 36. Let x be n(7). Round x to the nearest one hundred.\nAnswer: -13900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2286*i - 13 + 53 = 2291*i - 4*p, -91 = 4*i + 5*p for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 4*v**2 - v + 2. Let r(q) = -3*q**2 - q**2 + q**3 + q**2 - 2*q + 2. Let u be r(3). Calculate the smallest common multiple of w(u) and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7685312 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1\/6 (c) -1.3 (d) 2 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2491860 divided by 12.\nAnswer: -207655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a**2 - 17*a**3 + 45*a + 3 - 15*a**3 + 34*a**3 + 5*a**2 to k*a**2 + p*a**3 + j*a + c and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -10. Suppose -2*k = -3*m + o, -3*m + 29 = 3*k + 2*k. Let h(x) = 2*x - 14. Let a be h(7). Solve a = k*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r - 2*r + 2*r + (-22 + 36 - 26)*(-8*r + 1 - 1) to a*r + w and give a.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 6:27 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -1, -16228, -323, -5 in descending order.\nAnswer: 4, -1, -3, -5, -323, -16228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2590 + 2599. Solve 0 = n*o - 4 + 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1274 divided by 13.\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1298 is divided by 62?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(130) - sqrt(130)*4*5 - sqrt(130)) + sqrt(130))*-3)\/(sqrt(60)\/(sqrt(6) + (sqrt(6) - (sqrt(6) + -2*2*sqrt(6))))).\nAnswer: 285*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 460, 422, 384, 346, 308?\n\"Answer: -38*v + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -4, -24, 1\/4, 0.1214?\nAnswer: 0.1214","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 6339 = -3*y, -4*y + 4211 = 5*w - 4272. Does 22 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -1 (b) 0.5 (c) -2\/7 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 - -9. Suppose -12*a = -13*a + b. What is the first derivative of -11*t**2 + 15 - a + 2*t**2 wrt t?\nAnswer: -18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -11 - (-2 - (1 + -5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 3\/247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 7. Suppose -2*z + 4*g = -g - 27, 5*z - 4*g = 25. Suppose 7 + z = 4*b. Calculate the remainder when f is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 818752574?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1095*a + 618. Does 13 divide g(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109550947*v**3 + 15065*v + 4581 wrt v?\nAnswer: -657305682*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 8*s - 5. Let t be c(-7). Let h = -2 - 0. Let z be (h\/5)\/(t\/(-20)). Solve z*r = 2*x - 6, x + x - 5*r = 9 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 2*a - 2, -23130*a + 23129*a - 1 = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 142193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three eighths of a day?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1632\/(-2856)*154\/(-4). Let g = -17 - 2. Let w = g + m. Solve 3*r - 2 = r, -w = -3*v - 3*r for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, b: 6, a: 1, n: 1, m: 2}. What is prob of picking 2 m and 2 i?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1756584289 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*i - 10*y, 2431*y - 1212*y + 35 = -5*i + 1214*y for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - t + 3*t + (539 + 150*t - 539)*(1 - 2 + 4).\nAnswer: 452*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -716, -781, -844, -905, -964, -1021?\n\"Answer: c**2 - 68*c - 649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 75013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*h - 11, -4*i = 2*h - 0*h. Let n be i + ((-130)\/12)\/(-13). What is the nearest to n in -0.2, -4, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxbb when four letters picked without replacement from fxfbbfbxfbxbfx.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 3*w**2\/5 - 396*w\/5 - 12879\/5 = 0?\nAnswer: -27, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - 0 - (39 + 72 + -93)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3736 + 0.6264. Which is the fourth biggest value? (a) -4 (b) 5 (c) -1\/2 (d) -4\/3 (e) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 65218923 and 45.\nAnswer: 326094615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 44*k**3 + 4*k**2 - 5*k + 8. Is j(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 h when three letters picked without replacement from {p: 3, c: 4, w: 3, x: 4, h: 2, e: 1}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 5*k - 56170, -v + 7037 + 4205 = -k. What is the ten thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1212844?\nAnswer: 2, 31, 9781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**3 + 39*n**2 - 39*n**2 + n**3 + 5*n**3.\nAnswer: 9*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(1152)*4)\/((((sqrt(1728) - (sqrt(1728) + sqrt(1728)*1)) + sqrt(1728) - sqrt(1728)) + sqrt(27))\/(sqrt(108)\/sqrt(9))).\nAnswer: 384*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.36691912 - 0.16535012. Let t = 58.2015703 - p. Let g = t + -31. Round g to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 104 and 184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, 0.28, -1, 1.6, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*k - 32 = 211 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 10 = 15. Suppose -4*c = -c - 9. Suppose -66 + 206 = 4*d + v, -5*d - c*v = -175. Calculate the greatest common factor of d and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124722709939 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = l + 1 + 23, 0 = 5*l - 2*h + 84. Suppose 8 = -4*k, 2*k = 5*i - 2*k + 132. Let b = l - i. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7932839?\nAnswer: 7932839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 3*i + 3. Let y be q(3). Let n be 0*y\/(-9) + 25. Suppose 4*s - 19 - n = 0. List the prime factors of s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(19) - (sqrt(114)\/sqrt(2))\/sqrt(3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, q: 3}. Give prob of sequence qr.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 466*t - 34. Let q(r) = 153*r - 1. Let c(n) = -g(n) + 3*q(n). Let j(m) = -8*m + 32. What is 6*c(b) - 5*j(b)?\nAnswer: -2*b + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 8*t**2 + 4*t - 8. Give d(-8).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -80259, -2\/9.\nAnswer: -80259, -5, -2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 227240641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8220)\/49320)\/((-2)\/1 - (-176)\/84)?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 5*a**2 + 25*a + 119. Let i be x(-6). Put -381, i, -2\/9 in decreasing order.\nAnswer: i, -2\/9, -381","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 1, 624, -413 in increasing order.\nAnswer: -413, -4, 1, 4, 624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12086 + 16126. List the prime factors of m.\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296 a factor of 557960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9884083?\nAnswer: 11, 898553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 78 = g, -73*q = -35*q - 38*q + 4*g for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12646 - -23976. What is the thousands digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 21*r - 7. Let c be 4*(3\/6 - 0). What is the units digit of l(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 1:40 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d**2. Let o(s) = 11*s**2 - 1 + 12*s**2 + 5*s**2 - 17*s**2. Give o(i(y)).\nAnswer: 99*y**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/4)\/((-2)\/(-44)). Suppose s = y - 1. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 165 = w, 0 = -3*f + 4*w + 29 + 70. Let v = -12 + f. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1691?\nAnswer: 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1 - 2*q**3 - 5*q - 4*q**2 - 1 - q**2 + q**3. Let o be h(-4). Let k = -4 + 7. Solve k*m = -13 - o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/246 and 97\/196226.\nAnswer: 588678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -78, 2\/11, -5, -0.1 in ascending order.\nAnswer: -78, -5, -0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54 - 30. Let d(q) = q**3 - 7*q**2 + 4. Let j be d(7). Let w(t) = -t**2 + 6*t + 1. Calculate the remainder when f is divided by w(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*v = -0*v. Suppose -7*c = -6*c - 1, v = 5*f - 3*c - 12. Find the common denominator of f\/(30\/4) + (-856)\/(-80) and -43\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-6))\/((-11)\/2 - -5). Solve -4*w + 14 = 3*a, 3*a - t = -w - 4 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376 = -23*s + 445 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64634 is divided by 9049.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/80*(-15)\/(-36).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10693851 divided by -41289?\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 11:27 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312 = 6*j - 1050. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2. Let f(a) = -49*a + 5. Let d(h) = -3*f(h) - 3*k(h). Find the first derivative of d(r) wrt r.\nAnswer: 147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2617937.\nAnswer: 7, 61, 6131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/9, -0.3, -0.4, 42?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/2*(-3)\/(-6). Let w = -533 + 532.8. Which is the nearest to 1? (a) w (b) x (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hheh when four letters picked without replacement from hyeehhyyy?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 586218 bigger than 25207410\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -p**5 - 2405*p**4 - 104*p**2 + 16642887*p?\nAnswer: -20*p**3 - 28860*p**2 - 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 5*h**2 + 5*h - 5. Let o be u(-6). Suppose -3*j = -o - 17. Is 412\/12 + 4\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -12. Let a be 2\/q*138\/3. Let w = a - 15. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 121834661.836 and -0.2.\nAnswer: 121834661.636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3\/2 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + (-24)\/(-9))\/(3\/(-54)). What is d in -16*d**2 - 20*d**5 + u - 1 - 16*d**3 + 52*d**4 - 5 = 0?\nAnswer: -2\/5, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 7. Let x(q) = -2 - 3 - 14*q + 10*q + q**2 + 3*q. Is x(l) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o. Let z(r) = -32*r**2. Determine z(v(u)).\nAnswer: -32*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 51002069 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3760 divided by 5.\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172453*o**3*u - 119722*o**2 - o*u wrt o?\nAnswer: -1034718*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -3, 7 in decreasing order.\nAnswer: 7, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x and 1 e when four letters picked without replacement from xeuxeeuxxxxxuue?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v**6 + 24027*v**3*w - 61*v**3 - 4*v**2*w + 2386*v*w + 52*w + 2 wrt v.\nAnswer: 120*v**3 + 144162*w - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6*y - 6, 3*y + 141 = -5*r. Let n = 10 - r. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 4\/5)\/(25\/(-125)). Which is the closest to 1? (a) 2 (b) 5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151085 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 1.8, -0.17, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5988606?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -195 and 0.15?\nAnswer: -29.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-209)\/(-10868)*390\/6?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 1075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29.6, 5, -1\/3 in ascending order.\nAnswer: -29.6, -1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 0*m - 1\/2*m**2 - 36. Let s(b) be the third derivative of -b**4\/6 + b**2. Determine s(q(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 778437 or 778438?\nAnswer: 778437","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3 - 24*p**2.\nAnswer: 3*p**2*(p - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 8\/21*-16*259\/(-21312)\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**5\/12 + 25*f**4\/12 - 55*f**3\/6 - 152*f**2 - 8*f. Factor l(s).\nAnswer: 5*(s - 1)*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/13, -0.1, 44?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2, 1\/4, -0.321, 7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g - g + g + (-2*g - g + g)*(0 - 1 + 4) + (4 + 0 + 2)*(-2*g + 7*g - 3*g) to x + s*g and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -523*g + 517*g - 18. Sort -4, 2, 3, g.\nAnswer: -4, g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 3*i - 4*i + 3*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*a + 19*c - 15*c, -4*a - c - 4 = 0. Which is greater: a or 9\/47?\nAnswer: 9\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 301465 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 92330 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - (-16 - (-97 - -159))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 65917228?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1692 = 3*u - 5*y, -99*u + 1692 = -96*u - 2*y. Is u a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggymmgxtxggmgmgxgg. Give prob of sequence xy.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 619330680 and 412887120?\nAnswer: 1238661360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17572, -17556, -17540, -17524, -17508, -17492?\nAnswer: -17476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, 12, -2\/3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a day in seconds?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 29*f**2 + 5*f - 16. Let a be q(-2). What is the highest common divisor of a and 264?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -435 + 434.997093. What is a rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, g: 8}. Give prob of sequence gs.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 1:35 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyrkyrkaykkrrkkrkk. Give prob of picking 4 y.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 403.5 - 389. Let c = -10.5 + v. What is the closest to 4 in c, -2\/5, 2, -1\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -3\/4*i**4 - 5\/2*i**6 + 0*i**2 + 0*i + 0*i**3 + 86 - 18\/5*i**5. Suppose r(w) = 0. Calculate w.\nAnswer: -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - -32 - 0 - 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/25 and -101\/6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3090, 6314, 9548, 12792, 16046?\n\"Answer: 5*g**2 + 3209*g - 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/306656 and -99\/49524944.\nAnswer: 99049888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.97224 - 0.02776. Which is the second smallest value? (a) -0.54 (b) -1\/5 (c) r (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 - 700*a - 34403. Give k(-53).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 t when four letters picked without replacement from atctcffzffae.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + 9*j**2 + 6*j + 45. Calculate w(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51868596?\nAnswer: 2, 3, 13, 233, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.092 times -0.9\nAnswer: 0.0828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1499*r**2 - 909*r + 50. Let k(a) = -749*a**2 - 454*a + 30. Let c(l) = 6*f(l) - 10*k(l). What is the second derivative of c(n) wrt n?\nAnswer: -3008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17720?\nAnswer: 2, 5, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 71*k - 36. Let m be 2\/2*(-4)\/(-16)*44. Is o(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/52 and 51\/650?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -202.546558 from -6.573.\nAnswer: 195.973558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -5*d**3\/3 - 2*d + 19. Let f(n) = -2*n. Calculate a(f(x)).\nAnswer: 20*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {k: 3, m: 1, f: 4, q: 1, e: 1, z: 6}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 11210?\nAnswer: -11202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -222*j - 1115. Give h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 16 = -25. Calculate the remainder when 2 + ((-55)\/15)\/(-1 + (-53)\/(-54)) is divided by u.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 1. Let k = -0.09 - 0.21. Let n = 1.7 - k. Which is the smallest value? (a) 0 (b) s (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -79*p**2. Let s(i) = 2*i**2. Calculate w(s(k)).\nAnswer: -316*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*j - 20 = 0, 0 = 3*m - 2*j - 3*j - 4. Factor -102 + a**4 + 12*a**2 + 6*a**3 + 102 + m*a.\nAnswer: a*(a + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 0*u**3 + 1\/210*u**7 + 92*u**2 + 0*u + 0 - 31\/6*u**4 + 0*u**6 + 17\/60*u**5. Find the second derivative of f(n) wrt n.\nAnswer: 12*n**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkfkff. Give prob of sequence fk.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.8 + 12. What is the nearest to -2 in -3, -1\/7, n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 - 3*f + f)*(9 - 1 + 1) to the form v + i*f and give i.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:18 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(8\/15)*z**(21\/8))**3 assuming z is positive.\nAnswer: z**(379\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*24\/40.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -959.8434 to 1 dp.\nAnswer: -959.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290790 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*c + 344*c + 126*c + 5200 = 0 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -120 + 160. What is the lowest common multiple of 28 and y?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 1280*r**2 + 54341*r - 237780.\nAnswer: -(r - 1321)*(r - 4)*(r + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 389, 779, 1169, 1559, 1949?\nAnswer: 2339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1116, 2257, 3358, 4407, 5392?\n\"Answer: -2*a**3 - 8*a**2 + 1179*a - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((k*k**(-1\/2))\/k)\/k)\/k)**(1\/58)\/((k*(k*k\/k**(-1)*k)\/k)\/k*k**(-2)))\/(k**(-12)\/(k*k*k\/(k*k**(-9\/5))*k))**(3\/4) assuming k is positive.\nAnswer: k**(6703\/580)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*r = 170, 0*c = -2*c - 5*r + 98. Let k = c + -31. Suppose 0 = -4*n + 5*l + 28, 5 - k = -n + l. Does 4 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*y - 127, y = 2*h - 0*y - 76. Let j = h - 116\/3. Let d = -4736 - -4738. What is the second biggest value in j, 2\/3, d?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -27*f**2 - f + 1. Let c be p(1). Let s = c + 18. Is 18 a factor of (-2 + (-114)\/s)*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 + -103. Suppose -5*q + 11880 = -3*x - r*q, x = q - 3962. Let a = -2628 - x. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10656918*d*m + 30932*d + m**3 + 342 wrt m.\nAnswer: 10656918*d + 3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by -11?\nAnswer: -91\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4277626 by -175.\nAnswer: -4277626\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*768.263.\nAnswer: -230.4789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2050050 + 10043?\nAnswer: 2100133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -1\/60*u**5 - 23*u**2 + 0 + 0*u**4 - 25\/6*u**3 + 0*u. Find the first derivative of w(t) wrt t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (45\/10)\/(3\/(-4)). Let a be l + 2 + 1 - -2. Let q be (-6)\/(-9)*(a + 4). Solve -q*o = -s - 9 + 2, -5 = -5*o for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 34. Let q be y(-10). Solve -q = 3*w + 2*o - 7*o, 2*w - 3 = -3*o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/99330 and 131\/18.\nAnswer: 297990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 582.7842 - 644.34. Let m = k + -0.0442. What is m rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -45? (a) -0.072 (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 13*o**2 - 7*o - 8. Let x(l) = 14*l**2 - 6*l - 7. What is -7*x(z) + 6*y(z)?\nAnswer: -20*z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 390465 = -2*r, -2*a + r + 202843 - 46648 = 0. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 20. Determine s(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8036, 16070, 24104, 32138, 40172?\nAnswer: 48206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4410)\/(-8) + (-3)\/12. Let a = v - 3851\/7. Factor a*i**2 + 2\/7*i**3 + 6\/7*i + 2\/7.\nAnswer: 2*(i + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -2*f**2 - 141 + 281 - 147 - 13*f. Let n(v) = 3*v - 6. Calculate the smallest common multiple of w(-5) and n(4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*u - u. Suppose 114 = 2*j - u*d + d, j = -d + 48. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 914.8 + -915.8. Let z = -0.6 - -0.8. Which is the third biggest value? (a) z (b) -0.4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 1 (b) 9 (c) -1\/40 (d) -0.0423 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 1, 337, 2 in increasing order.\nAnswer: -46, 1, 2, 337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/5 of a millennium?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i - 6. Let q be t(0). Let p be 4*(-1)\/((-9)\/(27\/(-4))). Which is smaller: p or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -81461 - -772.51.\nAnswer: -80688.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 148.808091 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -86268.\nAnswer: -17253.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11980 + -26997.\nAnswer: -38977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8\/14)\/((-12)\/(-42)). Suppose 0 = v + p, 5*d - 3*v - 36 = 2*d. Suppose 2*g + d = -0. Put 4, -1, g in increasing order.\nAnswer: g, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 19*q - 7 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*g + 11 + 4, -3*w - 3 = -g for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) 2\/33 (c) -1\/3 (d) -1\/6 (e) 0.06 (f) 73\/2 (g) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-56)\/12)*-15. Let f = -41 + p. Let g = f - 8. Calculate the highest common factor of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107a (base 12) to base 9\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, q: 4, k: 1, z: 2, t: 1}. What is prob of picking 3 q and 1 t?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7254358, 7254380, 7254406, 7254436, 7254470?\n\"Answer: 2*r**2 + 16*r + 7254340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1331 + -1097. What is the smallest common multiple of s and 234?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -39 (c) 478\/9 (d) 5 (e) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -1238*v + 1241*v + 46, 0 = -24*b + v + 194 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j - 14. Let f be p(-4). Solve -3*n = -5*n - f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -52.934016 and 0.1278?\nAnswer: 53.061816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22 (b) -16 (c) 4\/327\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 + 2*g**2 - 5*g - 3. Let a be (-5)\/(-1 + 2) - -2. Let i be v(a). Find the second derivative of 0*m + 2*m + 2*m**i - 4*m + 0*m wrt m.\nAnswer: 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 20 = 6*j. Suppose j*s = 4*x - 2*x + 33, -2*x - 8 = 0. Which is smaller: s or 7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.108, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) - sqrt(102)*-3*-1)\/((sqrt(72)*-1)\/sqrt(12) - sqrt(6)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 11, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**4\/2 - 2*o + 16. Let z(l) be the first derivative of 7*l**2 - 26. Calculate u(z(y)).\nAnswer: 1176*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -4011 smaller than -4004?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -519*o**3\/5 + 55539*o**2\/5 - 109632*o\/5 + 252 = 0.\nAnswer: 2\/173, 2, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - p**2 + p - 1. Let z be h(1). Let v be z - (3 + -12 + -1). Let n be 10\/(-14) + v\/(-28). Which is the nearest to n? (a) 1 (b) -2 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.4183 - -462742.946\nAnswer: 462745.3643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2299 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 0, -18*f + 15*f = 2*k for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -246.825 (b) 1\/4 (c) -4 (d) 4 (e) 0.4 (f) 1\/18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*a + 8 = 5*a, 5*f = 4*a - 11. Suppose -c + 0*c + f = 3*x, 2*c + 2*x = 2. Suppose c = -4*o + 5. Solve 3*j = 4 - o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5 and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-39) - (28912\/338 - 31)\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 955 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + c + 11. Let w be s(-2). Suppose 666 - 2222 = -3*z + w*f, 5*z - 3*f = 2588. What are the prime factors of z?\nAnswer: 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -81, 10 in decreasing order.\nAnswer: 10, -2, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -s + 6. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(30\/(-9) + 3). Let i be j*(3 + 30\/(-9)). Suppose i*z = -5*v + 22, -3*v = -0*v - z - 2. Solve 2*l - 4*w - 6 = 0, v*l - 3*l - 9 = 2*w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010 + -11110010011?\nAnswer: -11110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + -0.01. Let g = 0.01 + m. Let u = -0.53 + g. Which is the smallest value? (a) 5 (b) -5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2003251562?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -111, 4, -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125*h**4 + 27*h**2 + 14*h?\nAnswer: 3000*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1441 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*g = 9, 0 = r - 58*g + 63*g + 3. Which is the closest to 7? (a) r (b) -5\/7 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(720)*-1 + sqrt(20)\/sqrt(4)*-1*-5)*-3.\nAnswer: 126*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 9163 = -3*b, 5*b - m - 237 = 15044. What are the prime factors of b?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12433*k**3*u + 3*k**3 - 963*k**2*u - 9*k*u wrt k.\nAnswer: -74598*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12029233.\nAnswer: 421, 28573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -5. Suppose c = -5*d + 7 + 113. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9431 is divided by 77.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 3*c**2 + 5*c - 7. Let a be t(-5). Suppose 22*d - 1340 = a*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 124285275.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*a**3 - 28174*a - 1714456 wrt a.\nAnswer: 60*a**2 - 28174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 865279.\nAnswer: 69222.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6492 - -21?\nAnswer: 6503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 582 + 567 - 1177 - 6*b. What is u(7)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*q - 5*y, -7*q + 3*q = -5*y - 17. Let k = 2544 - 2543. Put 43, q, k in decreasing order.\nAnswer: 43, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54\/(-18)*3\/12.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxpxfxpfxffxfffxfx. What is prob of picking 1 f and 1 x?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 2\/477881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**3 + 328*q**2 - 6378*q - 314352 = 0.\nAnswer: -177, -24, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 5 = 0, s + 142 + 48 = 21*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283160.\nAnswer: 2, 5, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1070 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5 - 248*p**4 - 7434*p**3 + 15876*p**2.\nAnswer: -2*p**2*(p - 2)*(p + 63)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 10) + (-25 - -46)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + g = 4, 3*k - 3*g - 3 = -9 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + d**2 - 2*d)*(-3*d + 0*d + 2*d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2448)*-2 - (-1 + 1 + sqrt(2448))**2.\nAnswer: -2452 - 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -12*k - 2. Let o be n(2). Let j = o + 23. What are the prime factors of (j + 1)\/((-8)\/228)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5 = 3*d. Let o = 5 - d. Calculate the remainder when 19 is divided by (o - 0) + 3 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**5\/90 + 247*x**4\/54 + 485*x**3\/9 + 241*x**2 - 136*x - 12. Determine y, given that g(y) = 0.\nAnswer: -241, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*o**3*w**3*x**3 + 5*o**3*w*x**2 - 2*o*w**2*x**3 + 26274*o*w**2*x**2 + 2067810*w**3*x - 2*w**2*x**3 + 2*w**2*x wrt w?\nAnswer: -54*o**3*x**3 + 12406860*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/10)\/((-1)\/(-2)). Let v = c - 3. Find the third derivative of -3*l**5 + 0 + v - 3*l**2 wrt l.\nAnswer: -180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 5*h**2 + 2. Suppose 20 - 5 = -3*c. Let f be v(c). Let p = 3 - f. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1849545 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1877094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(847)*-2)*-3)**2.\nAnswer: 1188*sqrt(7) + 30573","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 165, 325, 495, 675, 865, 1065, 1275?\nAnswer: 1495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*o + 4*b, -2*o + 13*b - 17*b = -24. Put o, -4, -2, -3 in decreasing order.\nAnswer: o, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*f)*(-155 - 198 - 29) - 4 + 2*f + 4*f - 7*f.\nAnswer: -1147*f - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(19) - sqrt(114)\/(sqrt(36)\/sqrt(6)))**2 + -5).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127504880?\nAnswer: 2, 5, 29, 54959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40272421, -40272424, -40272427, -40272430, -40272433?\nAnswer: -40272436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 55\/4581, -6, 0.4, -0.2 in increasing order.\nAnswer: -6, -0.2, 55\/4581, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1709*2*(-3)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1.6, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8363 is divided by 347.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 126048505 and 44440?\nAnswer: 5555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -5. Let i be (1 - (-3 - -2)) + -3. Let g be 3*(3 + -2)*i. Put 2, g, u in decreasing order.\nAnswer: 2, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u**3 - 16*u**2 + 26*u. Let j(i) = -i**3 + 3*i**2 - 5*i. Calculate 16*j(y) + 3*n(y).\nAnswer: 2*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 5:11 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3552999 - 26*q - 3552999.\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -6*q + p + 12, -2*q = 3*p - 8. Suppose -5*a = v - 5, a - q*v + 8 = -12. Solve a*i - 4 = -2*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8*(3\/(-1))\/6)\/1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00293935289 rounded to 6 dps?\nAnswer: -0.002939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-12 + 5 - 9)*(-5*p + 3*p - 3*p) as u*p + l and give u.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.0268 - -0.6008. Let c = 0.57402744 - z. Round c to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 919881*l**2*q**2 + l**2*q + l**2 - 7255*l*q + 11*q + 1 wrt q.\nAnswer: 1839762*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/11*j + 0*j**2 - 2\/11*j**3.\nAnswer: -2*j*(j - 1)*(j + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -2*w**3\/9 + 12*w**2 - 586*w\/9 + 160\/3 = 0.\nAnswer: 1, 5, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2323.312 + -2359.312107. Let h = 22 - -14. Let y = d + h. Round y to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 17.\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19526.157 + -19526. Which is the second biggest value? (a) z (b) 0.4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23323141 - -21101?\nAnswer: -23302040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, i: 1, w: 1, s: 4, k: 3}. What is prob of picking 2 a?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -16 - 12 + 42 + 4*f - 14. Let z(w) = -37*w**2. What is z(o(t))?\nAnswer: -592*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 9. Let p be o(0). Let x be 60\/90*p\/(-2). Solve -x = 4*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 v, and 2 o when four letters picked without replacement from oocvcococv?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 326 a factor of 371833644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4\/11 + 6\/11*t - 6\/11*t**3 - 4\/11*t**2 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 1 + 5. Suppose y + 4 - 3 = 0. What is the nearest to -1 in r, 3\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 10?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 11*x**3 - x - 1. Let w be j(1). Suppose 15 = w*d - 21. Let l(m) = m**2 + 4*m + 5. Let n be l(-4). Solve 6*h - n = 4*v + 3*h, 5*v + 6 = d*h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208) + 2)*1)**2 - (-4*sqrt(91)*-3)\/sqrt(7))*-5.\nAnswer: -1060 - 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -5*u**2 - 2*u - 1. Let a(r) be the first derivative of 25*r**3\/3 + 11*r**2\/2 + 5*r - 937. Calculate -2*a(p) - 11*o(p).\nAnswer: 5*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x - 14*x - 82*x - 24*x. Let p(o) = -o**2. Determine q(p(y)).\nAnswer: 122*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20.8 - -49.2. Let m = -84.63 - s. Let g = m + 115. Round g to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**5\/20 - g**4\/4 - 5*g**3\/6 + 2*g**2 - 6*g. Let p = 9 + -5. Let j be w(p). Solve j = 3*t + 2 + 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 497 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**2\/2 + 9*m + 2. Suppose -35*z + 3 = 213. Give q(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22 + -25. Let n = -82 + 119. Let r = n - 42. What is the nearest to r in -0.5, 0, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 3, 3*x + 2*f - 27 = 7*f. Calculate the smallest common multiple of x and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62806 is divided by 8721?\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 46, 60, 68, 70, 66?\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-35))\/((-2)\/25)*(19872\/(-40))\/(-27).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1002302404 + -12?\nAnswer: 1002302342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/5267?\nAnswer: -2\/5267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a microsecond in nanoseconds?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of d**3*r**3 + 58*d**3*r + 5*d**2*r + 12*d**2 + 11*r**3 wrt d.\nAnswer: 6*r**3 + 348*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -121706*k**3 + 210*k**2 + 2*k - 7 wrt k.\nAnswer: -730236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/2)\/(18\/(-54) - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*468\/(-459) - (-6)\/51?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84 times -0.1737?\nAnswer: -14.5908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of -r**3\/3 + 21*r**2\/2 + 49*r + 69. Let c be h(23). Solve -w = u - 2, c*w = 3*u - 5*u + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 16 = 5*o - 3*x, 3*x - 4 = -5*o. Find the second derivative of 3*f**2 + 0*f**2 + 0*f**o + 22*f - 16*f**2 wrt f.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2786915 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12497140 times -0.1\nAnswer: 1249714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 5*c + 5*c)*(3*c**2 - 2*c**2 + c**2 + (0*c + c + c)*(-c - 3*c + 6*c)).\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 3*m - 3. Suppose m*q = l + 6 - 3, 2*q - 4 = 0. Suppose 0 = l*c - 8*c + 4*y - 5, 0 = c - 2*y - 5. Put -2, 5, c in decreasing order.\nAnswer: 5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3603, 3605, 3607, 3609, 3611?\nAnswer: 3613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m. Let h(j) = -213*j**2. What is h(i(v))?\nAnswer: -852*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -2*z - 1, 2*z + 11 = -75*f + 68*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 5 = 4*d. List the prime factors of ((-248)\/(-16))\/(d\/2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19 + 22. Suppose -590 = -5*l + d*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -199*l + 1251. Determine a(8).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-1) - (-7 - -1). Find the second derivative of 3 + 6*y - 2*y**5 - 3 - n*y wrt y.\nAnswer: -40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 170, 255, 340, 425, 510?\nAnswer: 595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/18 in -1\/22, -2\/7, -0.1?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.84 + -12.841202. Round b to five dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -267788213, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -445.8 and -7.1?\nAnswer: 438.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59528678 a multiple of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 9*q = 0. Suppose 3*n - 7*n + 76 = q. Does 16 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -3938*3\/((-84)\/14) and 895?\nAnswer: 9845","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-14)\/4)\/(-6 - (-44)\/8). What is the highest common divisor of 175 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 641 = -11*g + 6603. Is g less than or equal to 542?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 127.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, 7, -7557 in decreasing order.\nAnswer: 7, 3, 1, -7557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of m**4\/6 - m**3\/6 - m**2\/2 - m. Let s = -11 + 9. Let h be r(s). Calculate the greatest common divisor of 6 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (37*s**2 - 19*s**2 - 16*s**2)*(-117*s - 93*s - 78*s) as f*s + h*s**2 + r + a*s**3 and give a.\nAnswer: -576","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - v)*((-2 + 1 + 2)*(25*v**3 + 149*v - 149*v) - v + v**3 + v).\nAnswer: -26*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, q: 1, o: 4, g: 1, d: 3}. Give prob of sequence ohqo.\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 3\/(-1) + 1. Let m be w\/(3 + -2) + -46. Find the common denominator of -3 - (1 + m\/7) and -67\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*s + 10*s + 9*s + 10*s - 77*s.\nAnswer: -115*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -1\/18 (c) -4 (d) 0.4 (e) -679 (f) -3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -16036\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 649557 by -104.\nAnswer: -649557\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 5*v**2 + 16*v + 5. Let k(r) = -2*r**2 - 8*r - 2. Calculate 5*k(y) + 2*n(y).\nAnswer: -2*y**3 - 8*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g + 0 - 1 - 2*g. Let l be 3\/(-9)*(-3)\/(-1). Let r = l - -3. Let x(c) = -c - 1. What is r*x(k) - n(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 151870242917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*y - 31061 - 31239 + 62792 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -4*m - 79572230. Let b = m - -23519248. Suppose -495198 - b = -3*r. Round r to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -378 + 378.00000441. What is f rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t - 7. Suppose 3*z + 3*z + 18 = 0. Let p be f(z). Find the third derivative of 2*g**2 - 7*g**2 + 4*g**p - 10*g**4 wrt g.\nAnswer: -240*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -61.853695 to the nearest integer.\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a day in hours?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(192) - 5*sqrt(192)*-3).\nAnswer: -256*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -10*p**3 - 69*p**2 + 124*p - 2. Determine l(-9).\nAnswer: 583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52821733 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 12542, -6.\nAnswer: -6, -2, 12542","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:55 AM and 9:46 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 501703 - -0.3.\nAnswer: 501703.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29169309?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 9.9. Suppose 0 = 5*s + 25, -3*n - 2*s = -1 - 1. Which is the nearest to i? (a) n (b) -0.4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -579ec (base 16) to base 4.\nAnswer: -1113213230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 i, and 1 l when three letters picked without replacement from {k: 2, i: 8, l: 4, y: 1}.\nAnswer: 64\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*h - 1427 = 1826, 0 = -4*h + 8. List the prime factors of q.\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244704692 to the nearest integer?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(245) + 0.\nAnswer: -4 + 7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111111100011001000 (base 2) to base 10.\nAnswer: -1308872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3)*(-2)\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -36*u + 21. Let f(o) = 24*o - 14. Let k(a) = 8*f(a) + 5*z(a). Let s(y) = y**2 + 2*y - 2. Let h be s(2). Is k(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -461377, -923035, -1384975, -1847197, -2309701?\n\"Answer: -141*v**2 - 461235*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 1\/27*c**4 + 9*c + 0 + 7\/90*c**5 + 0*c**3 + 0*c**2. Factor p(d).\nAnswer: 2*d**2*(7*d + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.3042 + 0.9037. What is x rounded to 2 decimal places?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24490?\nAnswer: 2, 5, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*l, -42*o + 3*l + 12 = -44*o. Let t(n) = -13*n**2 - 4 - 10 - n**3 - 14*n + 0*n**3. Does 10 divide t(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41144 minus 104435.7?\nAnswer: -145579.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 1338\/17?\nAnswer: 1338\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2 + m**2 + 0*m**2 + 0*m**2. Let z be h(-3). Calculate the common denominator of 1\/4 and ((-85)\/z)\/((-110)\/35).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 + 5 - 7\/2*q + 1\/2*q**3.\nAnswer: (q - 5)*(q - 1)*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3\/5 (b) 3 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - -1 - (-31197)\/(-11682). Let s = 3340\/326919 - -2\/1847. Let x = z - s. What is the common denominator of x and 19\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**4 - 3*k**4 + 8*k**5 + 0*k**4 + (2*k**4 - 2*k**4 + k**4)*(3 - 3 + 2*k).\nAnswer: 10*k**5 - k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 - 2*f + 2*f + (0*f + 2*f**2 + 0*f)*(-2*f**3 - 4*f**3 - f**3) - f**5 + 0*f**5 - 2*f**5.\nAnswer: -14*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3068.000005718 - -3068. Round i to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2844278 by 1422139.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cckcfhfkkckfccccchc. What is prob of picking 1 k, 1 c, and 2 f?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675 is divided by 133.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 143 and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 5*t**8\/168 + 41*t**4\/24 - 43*t**2. Find the second derivative of j(r) wrt r.\nAnswer: 200*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -5, 1, 0.06, 2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1165122*z**6 + 36386*z**2 - 17.\nAnswer: -139814640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/601, 0.5, 4, 4342, -2?\nAnswer: 4342","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107.65 - 108.7182. What is n rounded to 2 dps?\nAnswer: -1.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -189\/4 + 47. Let v be (-12)\/45*(-39)\/(-26)*-10. What is the closest to 1\/2 in -1, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (5 - 10) + 30 + 5?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 2*w - 23 = 0, -5*d + 3*w = -3*d - 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3468, -3469, -3470?\nAnswer: -3471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v**3 - 4*v**2 + 4*v**3 + 16*v + 7 - 14*v. Let c be i(3). Determine x so that -10\/3*x**3 - 22\/9*x**2 + 22\/9*x - 4\/9 + 2*x**c = 0.\nAnswer: -1, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 2 + 3)*(2679 - 21*z - 2679) as v*z + c and give v.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + -3 + 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18586731?\nAnswer: 3, 19, 326083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12324114421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.1 and 363991.\nAnswer: 363989.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-2))\/(3\/(-5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041707 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 324?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -15.3?\nAnswer: 30.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.386 - 3.2393659252\nAnswer: -2.8533659252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 423961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - -7. Let b be 14\/6*36\/48*4. What is the greatest common divisor of g and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8288.9999974209 - 8289. Round m to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3276 divided by 9\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1054, -3510, -7582, -13252, -20502, -29314, -39670, -51552?\nAnswer: -64942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -36917*s - 8. Let w(l) = 59*l**2. Give b(w(a)).\nAnswer: -2178103*a**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 16*y - 120. Let m be t(18). Let g = 214 - m. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.3, 8\/3, 25, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-64)\/126 + (-6)\/(-21). What is the nearest to 0 in b, 0.3, -2\/5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-408)\/(-69) - (-6224)\/368\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4 and 46.1.\nAnswer: 50.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 109 - 49. Let n be (-11)\/w - (1467\/135 - 11). Factor -h + n*h**3 - 3\/4*h**2 + 1\/4*h**4 + 1.\nAnswer: (h - 1)**2*(h + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in sixty-one quarters of a century?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65192.3 - 12.\nAnswer: -65204.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**5\/10 + 29*y**4 + 175*y**3\/3 - 14*y + 69. Determine q, given that m(q) = 0.\nAnswer: -1, 0, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2417216 divided by -4.\nAnswer: -604304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - a + 1 = 24, -4*a + 27 = q. Calculate the least common multiple of 145 and q.\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 133130?\nAnswer: -133113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 12*k**3 + 196528*k**2 + 262020*k + 65504 = 0?\nAnswer: -16376, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 8\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 106 - -5?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200927340.\nAnswer: 2, 3, 5, 499, 2237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26100 by -30.\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.235 + -0.035. Sort 3\/5, -0.3, m, 2\/21.\nAnswer: -0.3, 2\/21, m, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 7*f**2 + 0*f**3 - 1\/24*f**4 + 0 + 0*f. Let q(n) = 2*n - 19. Determine q(m(b)).\nAnswer: -2*b - 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 486 and 10962.\nAnswer: 98658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-164))\/(8265\/1102)*10.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-270)\/105*196\/42?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2512)\/20)\/(((-28)\/(-20))\/7). Is (i\/(-16))\/((-1)\/(-76)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 452*k - 2. Let i(j) = j**2. Calculate i(b(d)).\nAnswer: 204304*d**2 - 1808*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/771 (b) 8 (c) -5 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 114533?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(1\/4)\/p*p)\/p*p**6)\/(p\/p**(-1\/2)*p*p**(1\/4)\/p*p))**(-2\/3) assuming p is positive.\nAnswer: p**(-7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 136\/27 or 6?\nAnswer: 136\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3 + 507783*i**2 - 507784*i.\nAnswer: i*(i - 1)*(i + 507784)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(833) - (sqrt(833) + sqrt(833) + -1)))*-6 + -3 + -5 + (sqrt(833) - (-4 + sqrt(833))**2).\nAnswer: -881 + 105*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r**4\/2 - 10*r - 1. Let i(l) = 99*l**2. Calculate i(d(b)).\nAnswer: 3564*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 17. Let y(q) = q**2 - q - 1. Let h(o) = -2*o**2 + 5*o + 2. Determine b*y(x) + h(x).\nAnswer: 2*x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 6*z**2 + z. Let q = 3 - -9. Suppose j + j = -q. Give m(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4435 - 4419 = 0. Calculate the smallest common multiple of p and 682.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 5*w - 4. Let v be p(-6). Let g be (1 - (4 - v))*16. What is the remainder when (g\/10)\/(3\/(-30)) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 - 19*z - 56. Let y be j(-11). Suppose 0*k = -16*k + y. Let h be (-1 - 0)\/((-2)\/6). Solve -2*b - k = 4*x - 10, 13 = h*x - 2*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2\/2113 - -329618\/10565. Suppose 4*h + 3*m = -7, 0 = h - 2*m - 25 + 13. Find z such that 62\/5*z**h - 18*z**4 + o*z**3 - 24\/5*z - 8\/5 = 0.\nAnswer: -1\/3, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 - 10220?\nAnswer: -11201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 111, 114, 127, 156, 207, 286, 399, 552?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572\/147245 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 34*z**2 - 61*z - 51. Determine f(32).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j + 12*j - 6 = 0. Let z = 3 - 0. Which is the second biggest value? (a) z (b) -1\/6 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/130 and -11\/13246?\nAnswer: 860990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1065040968 to the nearest one hundred thousand.\nAnswer: -1065000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 4, -2*q + 8 + 13 = 5*m. Suppose 40*x = q*x - 4704. Which is greater: -148 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13\/2 or -8?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 212?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzm when three letters picked without replacement from zmmzzmzmmzmzm.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 190394?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 423 divide 1151829?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -10*a - 1. What is the remainder when s(-7) is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*o, 83 = 5*p + 3*o - 76. Solve f + 5*z - p = 0, 0 = -2*f - 2*z + 6*z - 10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82 - 85. Put 4, b, 0, -9 in descending order.\nAnswer: 4, 0, b, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + -0.08. Let i = 0.16 + l. Let p = 7 - 4. What is the nearest to 0.2 in i, p, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.3, 3, 526\/5, -2\/59, 15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*w - 7*w + 8*w)*(-w + w**2 + w)*(-3*w**2 - 5*w**2 + 0*w**2).\nAnswer: -72*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6))\/(7\/3). Let j be (-12)\/33 + 39\/(-165). What is the third biggest value in -3, p, j, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a6b70 - 1?\nAnswer: a6b6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -11320 bigger than -11322?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6768 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 186 + -194 + -1 + -2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/301609246 and -63\/71816?\nAnswer: 1206436984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*k - 250 = 0, 4*w + k - 155 = 182. Suppose -4*j + w = -16. What is the highest common divisor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3114 (base 6) to base 16.\nAnswer: -2b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491*j = 260940 - 34098. What is the lowest common multiple of j and 70?\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 4*k - 2. Let j = 32 + -2. Let x = -20 + j. Let a be (-5 + 4)\/((-2)\/x). Determine q(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/4 + 729*i\/4 - 183 = 0. Calculate i.\nAnswer: -244, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*c + 42 - 11*c - 42 - 4*c**2 + 15*c**2 as p*c**2 + n + w*c and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111215411 (base 6) to base 12.\nAnswer: 817567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a gram in milligrams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3}. Give prob of picking 2 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o. Let b = -470 + 488. Let t be ((-4)\/b*-3)\/(18\/27). Put -2, o, t in decreasing order.\nAnswer: t, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9448113 divided by 1?\nAnswer: 9448113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -3 - 5*b - 8\/3*b**3 - 1\/21*b**7 + 32*b**2 - 14\/3*b**4 + 1\/15*b**6 + 7\/5*b**5. Factor k(f).\nAnswer: -2*(f - 2)**3*(f + 1)*(f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8\/(-16)*6\/33. Which is the nearest to 0? (a) 0.1 (b) -38 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 8*a + 18. Determine g(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 646\/27, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 17*c**2 - 4*c**2 + 10 - 2 as r*c**2 + f*c + i and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**1)\/t)**(-10\/11)\/(t**(2\/15)*t**(2\/9)*t*t))**(-3\/11) assuming t is positive.\nAnswer: t**(1616\/1815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 21\/12914 and -51\/9392?\nAnswer: 103312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, i: 4, f: 1, h: 3, w: 4, o: 2}. Give prob of picking 1 h and 2 w.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178*l = 4*b + 181*l + 35, -5*l - 50 = 5*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**6\/6 - 121*q**5\/20 - q**4\/6 + 71*q**3\/2 + 5*q**2\/2 - 4159*q. Find the third derivative of u(g) wrt g.\nAnswer: 120*g - 726","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 0*r**2 + 7\/12*r**4 + 0*r**6 + 0 - 5\/42*r**7 - 5*r + 0*r**5 + 0*r**3. What is the third derivative of s(t) wrt t?\nAnswer: -300*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109 + -107. Solve -n + c = -1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -2\/4303 (c) -1333 (d) -4 (e) -0.1 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r. Let w be a(0). Suppose 2*m - 16 = m - c, -4*m + 2*c + 46 = 0. Suppose -4*b = 5 - m. Solve -b*v + 4*v = w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 15 + -26 + -57 + 11.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 9*b - 12. Let o be 4\/10 - (-18)\/5. Let x be ((-2)\/b)\/(o\/18). What is the highest common factor of x and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4403.0027515 - 4403. What is u rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 59 = -133. Suppose -z = -3*v - 4*w, 2*v - 6*v + 77 = w. Suppose 5*n + f - 61 = 7, -4*f = 8. What is the least common multiple of n and v?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 0 + 3)*2\/4. Solve -m = -k - 0*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 - 5*y - 5. Let l be (-3 - 44\/(-20))*10. Let v be q(l). Let u(w) = v*w + 3*w**2 - 355*w. Let z(r) = r**2. Determine z(u(n)).\nAnswer: 9*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*j = -0*j - 181950. What is the thousands digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292.3586 decades in months?\nAnswer: 35083.032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21 - 8*r + 21)*(2 - 3 + 3) - 2*r + r + 0*r + (3 - 4 - 1)*(r - r + 3*r) as q*r + k and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1320*b - 1409*b - 1349*b - 9450 = -4303*b for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -14*g**3 + 27*g**2 + 6. Let j(v) = 6*v**3 - 13*v**2 + v - 3. Let c(p) = -5*j(p) - 2*z(p). Let a be c(5). Solve 4 = -a*d + 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2762 is divided by 68?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2*u = -2. Let b = -7 - -11. Calculate the least common multiple of b and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -378, -3453, -11798, -28047, -54834?\n\"Answer: -439*v**3 - v**2 + v + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1749 in -4, -1, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -43*a - 172. Give v(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t + 6. Determine z(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 430987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 313 - 309. Calculate the remainder when 7 is divided by b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04112 to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 323*p = -318*p + 3, 0 = 4*x - 10*p - 18 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of -20*(-90)\/(-5)*4\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*q**2 - 1178590*q - 55599650 wrt q?\nAnswer: 24*q - 1178590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4 + 3. Let y(s) be the first derivative of -s**5\/60 + s**4\/24 - s**3\/3 + 4. Let m(z) be the third derivative of y(z). Determine m(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 550 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 3*k + 7, -5 + 0 = -5*r - 3*k for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 5, 1, 0.5, -44116.7, -3 in ascending order.\nAnswer: -44116.7, -3, -2\/11, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7365 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.56 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 13*r - 42. Determine n(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 111 + -120 - (6 - (2 - 3)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) - sqrt(143)*2*-1 - (sqrt(143)*2 - sqrt(143))*1)\/((sqrt(44) + sqrt(44)*2 - sqrt(44))*-3).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 68498?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133 - -128. What is the second biggest value in 5, 3, l, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4\/2 + 9*n**3 - 12*n**2 - 9*n + 21\/2.\nAnswer: 3*(n - 1)**2*(n + 1)*(n + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -1\/3, -5\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1211301130 (base 6) to base 7\nAnswer: -225121452","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q - 5. Let p(k) = 10*k + 15. Let w(g) = 2*p(g) + 7*y(g). Let c be w(-9). Suppose 60 + 92 = c*n. Calculate the remainder when n is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c - 5*c**3 - 5*c + 7*c**3 + (2*c**2 - c**2 + 0*c**2)*(3*c - 2*c - 5*c).\nAnswer: -2*c**3 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -3*z**2. Let c(r) = 6*r**2 + 2*r. Let i(q) = 24*q**2 + 9*q. Let w be (-3 - 1)*((-25)\/(-10))\/5. Let f(g) = w*i(g) + 9*c(g). Determine f(b(d)).\nAnswer: 54*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(9)\/sqrt(3) + (sqrt(192) + 0)**2).\nAnswer: -2*sqrt(3) + 384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 24577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 80741 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148039 is divided by 2511.\nAnswer: 2401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*j - 6*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -w - 4*w. Let v(f) = f + 3. Calculate the lowest common multiple of w\/(-5) - 12\/20 and v(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 74, 200, 406, 692, 1058, 1504?\n\"Answer: 40*x**2 + 6*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Suppose -5*r + 54 = -h*r. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that 8*j**5\/9 - 4018*j**4\/9 + 36656*j**3\/9 - 85940*j**2\/9 + 77944*j\/9 - 24650\/9 = 0.\nAnswer: 1, 25\/4, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -61 + 94. Let k be 2\/(-3) + r\/9. Suppose 0 = g - k, t + 9 = -3*g + 22. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 29*m**2 + 2*m + 4. Let q(v) = 2*v - 27. Let i be q(15). Suppose -6 = 2*k - 2*n, 5 = -i*k - n - 0. What are the prime factors of w(k)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m + 3. Let d(i) = 441*i + 735. What is d(y) - 245*f(y)?\nAnswer: 196*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62720 and 168?\nAnswer: 188160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-7)\/((v\/(v\/((v*v*v*v**(3\/4)*v)\/v)*v*v))\/v))\/((v**(-1\/11)*v)\/(v**6*v)) assuming v is positive.\nAnswer: v**(-73\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 0*g + 0 - 1\/5*g**2 + 1\/5*g**4 + 0*g**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1060 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58*(42\/(-42))\/(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.8 in -0.2, 0.08, 0, 4\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)*1*2 - sqrt(95))*-4)\/(6*(sqrt(5) + sqrt(50)\/(sqrt(70)\/sqrt(7))))*1.\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/23, 5, 0.13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b + 45. Let h(n) = 5*n - 22. Let z be 9 + (252\/27 + -9)*-54. What is z*h(j) - 4*m(j)?\nAnswer: -j + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, i: 4, w: 2, v: 3, q: 1}. What is prob of sequence wi?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*t + 385 - 1030. Let l(m) = -2*m**3 + 88*m**2 - 70*m - 38. What is the units digit of l(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 3, x: 13}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - -27733?\nAnswer: 27734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 17*v**4\/6 - 41*v**3\/3 - 2*v**2 - 6. What is the first derivative of m(h) wrt h?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2 + 14 = -z, -5*a = -z + 28. Suppose -z*b = -3 - 21. What is the greatest common factor of 72 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + n = 3*n - 1, -3*o + 9 = -2*n. Let i(p) = p**2 - 7*p + 2. Let w be i(7). Find the second derivative of 0*z**4 - o*z - w*z**4 + 4*z wrt z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -709067?\nAnswer: 141813.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 3)\/(18\/6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49277.43ml to litres.\nAnswer: 49.27743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-2 + -40))\/((-198)\/792)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.05 + 0.45. Let k be (-4)\/10 - 38\/(-20). Which is the closest to 0? (a) k (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1204\/(-645)*20\/2*(-484)\/847?\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 274*v**2 - 542*v + 4. Give d(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**3\/3 + 3*s**2\/2 + 3*s - 17. Calculate u(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 - 53. List the prime factors of (40\/15 + 0)\/((-6)\/l).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = -3*g - 1, -4*t + 30 = -2*g. Let j be 167\/5 - (-2)\/g. Let f = 54 - j. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f**3 + 2*f**2 + 4*f + 2. Let m be c(-1). Let k(s) = 24*s - 154. Let v be k(m). Solve -v*x + 3 = -17*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, -2 in increasing order.\nAnswer: -15, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 18*q**3 + 5*q**2 - 3*q. Let o be m(1). Solve 4*h - o = 3*z, 3*z + 15 = 2*h + h for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = v - 45 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = 58*f + 46 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 19, 2, 0, -43 in increasing order.\nAnswer: -43, 0, 2, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14818.98 + 2.8\nAnswer: -14816.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1. Let a(g) = 4*g + 5. Let i = -525 - -526. Let f(o) = i*a(o) - 3*l(o). Let r(w) = w - 1. Determine f(c) + 3*r(c).\nAnswer: 7*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 5 + (sqrt(243) - (2 + -1 + sqrt(243))**2)*5*-1*1 + 5)*5.\nAnswer: 225*sqrt(3) + 6140","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2394535442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-2\/7)*f**7*f**(2\/7)\/(f\/(f*f*f\/f**(-9))) assuming f is positive.\nAnswer: f**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**2 + 130*d + 240 = 0.\nAnswer: -24, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -84*i + 2. Let p be r(-1). Let y = p - 44. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**3 - 2*h**2 - 13*h + 5. Let s(k) = 14*k + 3*k**2 - 13 + 25 - 8 - 12 + 6*k - 3*k**3. Determine 8*p(y) + 5*s(y).\nAnswer: y**3 - y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90 (base 10) to base 8.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 115, 27, -41023, -4 in increasing order.\nAnswer: -41023, -4, 27, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -13. Let n be t + 4\/(-16) + 3. Let p = -6.622 - -0.622. What is the third smallest value in n, -2\/11, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-82)\/(-369) - (-2)\/18)\/(32\/36).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*b = 81*b + 20 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from bcccnczzcczznhhzzcn?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, -400, 1\/68, -5\/6, 0.1?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2003 is divided by 171?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {k: 4, q: 6, x: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 - 18. Let t(y) = -y**2 - 2*y. Suppose 0 = -0*x - 13*x - 65. Let j(a) = -2*a**2 - 6*a. Let v(z) = x*j(z) + 15*t(z). Determine v(k(l)).\nAnswer: -5*l**4 - 180*l**2 - 1620","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -26. Solve j = 3*c - 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -42, 14, 2 in ascending order.\nAnswer: -42, 2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 26205 and 0.\nAnswer: 26205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/45 of a day in minutes?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 6*b + 770. Let z = 127 + b. What is the highest common factor of 88 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/10)\/((-128)\/160). Let w(r) = r**3 + 4*r**2 - 11. Calculate w(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183194 to the power of 1\/2, to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 939249466.\nAnswer: 2, 14327, 32779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 942*x**3 - x**2 + 3*x + 12. Let w be i(-6). Let l = -119402 - w. Let t = l - 250112. Round t to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/70 and -4\/35.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*a**3\/5 + 1224*a**2\/5 + 7512*a\/5 + 2016 = 0. Calculate a.\nAnswer: -4, -2, 210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19135 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 179506 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -5*u**4\/6 - 6*u**2. Let r(x) = -x. What is h(r(n))?\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 10) in base 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 733199*k = 733402*k - 10556 for k.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/4 in -1, 705, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 7*i + 2*i + 19 - 2*i**3 + 9*i**2 + 3*i**3 - 7. Let a be b(-8). Solve -2*k = 2*k - a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 601487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1002200211 - -11?\nAnswer: 1002200222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17.101011 times -0.1\nAnswer: 1.7101011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 90*a**2 - 592*a.\nAnswer: -2*a*(a - 37)*(a - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173 is divided by 84?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 AM and 7:44 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*a = 188*a - 18*a + 89*a + 17220 for a.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920667?\nAnswer: 3, 11, 23, 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p**2 + 112*p + 300 = 0. Calculate p.\nAnswer: -25, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/1213 - 1207\/3639. What is the closest to m in 0.2, -2.5, 1\/2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -587*q - 1. Let k be o(7). Let z = 9614447\/2340 - -4007\/468. Let g = k + z. Find the common denominator of g and -19\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*q + 55*q = -5*g + 131*q + 110, -4*q = 5 + 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1985, -3965, -5935, -7889, -9821, -11725, -13595, -15425?\nAnswer: -17209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42.5 + 42. Which is the nearest to 0.1? (a) y (b) 0.05 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*c**2 + 29*c**2 + 28*c**2 + 29*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 3 - 10*o + 7*o)*(4 - 33 + 0) to the form l*o + z and give z.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 5*b = -4, 0*y + b = 3*y - 8. Solve y*k = -h + 11, 5*h + 6*k - k = 35 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 2. Let z = 1.5 + 2.5. Let p = z + x. Which is the smallest value? (a) p (b) 1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -345\/8179 - -11518313\/5095517. Let q = k - -6\/89. What is the common denominator of (20 - -10)\/5 - (-206)\/(-16) and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, e: 5}. What is prob of picking 4 e?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, 23, -61 in decreasing order.\nAnswer: 204, 23, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*d + d. Let t = -0.5 + -0.5. Put t, -0.2, d in increasing order.\nAnswer: t, -0.2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/25*(3 - -2). Let j(w) = w**2 + 7*w. Let h(z) = z. Let c(k) = q*j(k) + 2*h(k). Let x be c(-9). Let o(u) = u**2 - u - 2. Calculate o(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122 + -64 + -30 + (-30 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 8:05 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 3*p - 5. Let c(w) = -7*w + 11. Determine -6*c(l) - 13*j(l).\nAnswer: 3*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53\/60 + 1\/20. Which is the smallest value? (a) -2 (b) 4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n**2 + 26*n + 42. Let s be d(-12). Solve 7 = 5*v - 5*h - s, -5*v + 18 = 2*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rroqrxrx. What is prob of picking 1 o and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -978 + 425. Let j = d - -1049. Suppose -k = -5*h - 136, h = 4*k - 3*h - j. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c - 22 - 2*c**3 + 2*c + 20*c**4 + 20 in the form y + l*c + f*c**3 + d*c**4 + s*c**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -3. Let l(j) = -1 - j**2 - 2*j + 1 - 1. What is l(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0088 - 1108.0088. What is the biggest value in 4, t, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653600 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 173.72117632 minus 0.78?\nAnswer: 172.94117632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641068439?\nAnswer: 11, 2897, 20117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 - ((-4)\/(-4) + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2*8\/6. Let x(a) = 0*a**2 + 2*a**2 - 3*a**s. Let d(u) = 4*u - 2*u**2 - 4*u. What is x(d(o))?\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 y when two letters picked without replacement from lzmyulmmouu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-9*(-13)\/(-3861)*(-6)\/(-4)).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of z**3\/6 - z**2\/2 - z. Let o be (-280)\/(-36) - 4\/(-18). Let m be ((-10)\/8)\/(2\/o). Determine j(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6 - 70\/(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 * -0.038.\nAnswer: -0.0304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, b: 4, g: 2, l: 1, p: 1, u: 1}. What is prob of picking 2 g?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -119*z**3 + 2*z**2 + 2*z. Let k(m) = 2262*m**3 - 39*m**2 - 39*m. Give -2*k(p) - 39*s(p).\nAnswer: 117*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7\/163 (b) -0.2 (c) 0.027 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2438705317.\nAnswer: 1013, 1061, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -3*c - 53. Let g be s(0). Let y = -34 - g. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b + -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and (-78)\/(-19) - (1266\/114 + -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*l, 0 = 3*f - l + 11. What is the common denominator of (8\/(-36))\/(f + 42\/17) and 7\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away 1.596?\nAnswer: -1.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -804, -7972, -27438, -65352, -127864, -221124, -351282?\nAnswer: -524488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 4*g - 73, 1394*g - 51 = 1391*g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10, r: 4, w: 5}. Give prob of picking 2 w.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2313979752 a multiple of 3192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gftfgirifgg. What is prob of picking 1 g and 2 i?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15323 and 1144?\nAnswer: 1593592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -78*q - 1164. What is p(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/8 + (-45)\/60 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 - 23*w**2 + 17*w + 32. What is the units digit of t(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17a - -5?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, -13435, -2\/9, 2\/3 in ascending order.\nAnswer: -13435, -3\/7, -2\/9, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56085?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 4*n - 1. Let q be g(-2). What is the common denominator of (5\/12)\/q*-118 and ((-122)\/6)\/((-4)\/6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1498139091?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**2 + 1. Let i be c(1). Suppose i*r - h - h - 56 = 0, 0 = -3*r + h + 33. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/22221 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 4621. Let j(l) = 26*l - 4. What is y(j(k))?\nAnswer: -26*k - 4617","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 0.5, 0.1, 2\/3, 5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 81 - 72. Let b(f) = -f**3 - 2*f**2 + 2*f + 4. Calculate b(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 12*o - 80. Let r be v(17). Suppose -4*d + r = 17. Which is the nearest to -2\/9? (a) d (b) 0.5 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 12 + 6 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 789126 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 5*c**2 - 21*c - 54. Calculate p(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 2 - (-111 + 117)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 19\/8)*-4. Let p = -13 + 8. Let r = p - -9. What is the nearest to -0.3 in z, r, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (333*o - 713*o + 49*o)*(5*o - 4*o + 32*o).\nAnswer: -10923*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 65*w**5 - 4*w**3 + 53908*w**2 + 218749*w - 131 wrt w?\nAnswer: 1300*w**3 - 24*w + 107816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 + 2*m + 851405. Let y(t) = -2*t. Give y(j(h)).\nAnswer: -4*h**2 - 4*h - 1702810","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 11 + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/9 + 2534*d**2\/9 + 5062*d\/9 + 2530\/9.\nAnswer: 2*(d + 1)**2*(d + 1265)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 55\/92 (b) -2 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**4 + i**2 + 0*i**4 - 8 + 2*i**3 - 2*i**4 + 4 to the form b*i**4 + w + k*i + s*i**3 + d*i**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.0664 to zero dps.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*a - 2)*(0*a - 3*a + a) + (-951 + 1897 + 286*a - 943)*(a + 0*a - 3*a).\nAnswer: -568*a**2 - 6*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*q - 61*q + 48*q - 3717 - 35 for q.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**2 + 72*j + 104. Let q(t) = 2*t**2 - 35*t - 47. Let x(o) = 6*g(o) + 13*q(o). Give x(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 27. Suppose 4*u - 4*r = 56, u - 23 = -0*u - 2*r. Let c = u + i. Solve 0 = -q + 3*t - 6, -3*q - 4*t = -12 - c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 397 + 125 = 58*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-4))\/((204\/(-16))\/(-17))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -1414*s + 433*s + 624*s as i + p*s and give p.\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4391 rounded to two decimal places?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**4\/4 + a**3 - 1. Find n, given that o(n) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1157, 1091, 1021, 947, 869, 787, 701?\n\"Answer: -2*f**2 - 60*f + 1219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p + 20*p = 1064. What is the remainder when 73 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (442338\/(-1))\/(-3) + -2. Let w be 443\/(1\/(i - 2)). Suppose 4*c - w + 18516806 = 0. What is c rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -177 - -176.88. Sort o, -4, 3 in decreasing order.\nAnswer: 3, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7137790 is divided by 1019684.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -10*o**2 + 3*o + 2. Calculate c(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 1. Let b be m(1). Suppose b*k = 3*k - 6. Factor -2\/5*p**k + 2\/5*p + 0.\nAnswer: -2*p*(p - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 11*b**3 - 2*b**2 + 4*b - 3. Let i = 123 - 122. Let z be y(i). Solve -2*k + z = 0, 3*q + 2*k + 2*k = 23 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 201 - 193. Suppose -f*p - 283 = -2315. What are the prime factors of p?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -336, -693, -1044, -1389, -1728, -2061, -2388?\nAnswer: -2709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of 0 - 77*k**2 - 1\/1512*k**8 + 1\/135*k**5 + 0*k**4 + 1\/180*k**6 + 0*k**3 + 0*k + 0*k**7. Factor p(d).\nAnswer: -2*d**2*(d - 2)*(d + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r + 0*r + 4*r**2 + (-85 + 1 + 18)*(-1 + 0 + 0)*(-2*r**2 + 3*r**2 - 3*r**2).\nAnswer: -128*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 0.05 (c) -220\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-2\/9)\/(k**(-1\/4)\/k)*(k**(-1))**(3\/13) assuming k is positive.\nAnswer: k**(373\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1640?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - 0. Let v = -7 - h. Is -2\/7 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7)\/o)\/(o\/((o**(2\/13)\/o)\/o)*o))**37\/((o**(1\/3)*o)\/o**(-3)*o*o**(2\/3)\/o*o**(-2\/19)\/o) assuming o is positive.\nAnswer: o**(-109224\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 212329?\nAnswer: 13, 16333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.06 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.238 + 24.038. Let i = m - 19.8. What is the fourth biggest value in -5\/2, i, -0.2, -1\/8?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -391670 divided by -9?\nAnswer: 391670\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19)\/(-3) + (-2)\/(-3). Let p = x - 17. Let y = p + 25. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5332222 is divided by 2088.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -264, -1246, -3394, -7128, -12868?\n\"Answer: -70*h**3 - 163*h**2 - 3*h - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -33 + 62 + 2*m - 30 - 23. Let u be a(13). Let g(i) = i**3 + 4*i**2 - 5*i. Let k be g(-5). Sort u, -0.5, k in decreasing order.\nAnswer: u, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31.93 - 13359002\nAnswer: -13359033.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*4\/(-6)*(-4)\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.02 - -1.98. Let v be (-170)\/(-68) - 474\/180. What is the third biggest value in -2\/3, -2, v, o?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v\/(v\/(v\/v**(-1))))))**(-2\/43)\/(v**(-1\/2)*v*v**(-1\/6)\/v))**(-5) assuming v is positive.\nAnswer: v**(-370\/129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30766 by 2279.\nAnswer: -30766\/2279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 244\/20*67\/978. Let g = 2\/815 - t. Let u = 364 + -362. Which is the third biggest value? (a) g (b) u (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4866423 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 0 - 20*c + 0*c**2 - 2\/3*c**3. Let l(v) = -9*v**2. Calculate b(l(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s. Let o(l) = l**3 + l + 3. Let v be o(0). Suppose 5*z = 26 - 16. Let u(m) = 0*m**z + m**2 + v*m**2. What is q(u(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*d. Suppose 162*p = 165*p - 3. Suppose 5*c - p - 9 = d. Solve -1 = -c*q + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h**3 - 23*h**2 + 28*h - 39. Let p be g(3). Factor -2\/13*i**4 + p - 30\/13*i**3 - 96\/13*i**2 + 128\/13*i.\nAnswer: -2*i*(i - 1)*(i + 8)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33361927?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -716*t**3 - 774*t**3 - 214*t**3 + 269*t**3 - 834*t**2 + 240*t**2 wrt t?\nAnswer: -8610","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) -0.1 (c) -4 (d) -51.8 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 8*c + 1. Let a be g(7). Suppose -a*k + 12 = -4*k. Are 2 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7817?\nAnswer: 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -137 + -3b871b?\nAnswer: -3b8853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 357 = p, -2*p + 14 + 52 = m. Let t be (14\/(-8))\/((-3)\/m). Let c = t - -13. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 + 31. Is z <= 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -0.06, -4\/11, -3\/2, -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29733 is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 101072.9 decades?\nAnswer: 1010729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, 22, -11246 in increasing order.\nAnswer: -11246, -2, 12, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 3*x**2 - 2*x + 4. Let o be a(3). Let j = -165 + 167. Suppose j*l + o - 73 = 0. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -17 + 7 - 65*d**2 - 114*d + 196*d**2 + 134*d. Let m be h(-10). Round m to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 + 1ba?\nAnswer: 1c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*q - 7617 - 9026. Is q a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 2 - 32)*(2*n**2 - 2*n**4 - 2*n**2)*(3 - 30 - 6) to the form y*n + m*n**4 + c + k*n**3 + g*n**2 and give m.\nAnswer: -1584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 653208293 to the power of 1\/5, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 155\/329 - 2\/47. Let b be (-1)\/(3 - (-5)\/(-2)). Put b, s, 5 in increasing order.\nAnswer: b, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l + 2*l**3 - 2*l**3 + 9*l**3 + 5*l**2 + 5. Is t(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -205, 3, -4, 914 in decreasing order.\nAnswer: 914, 3, -4, -205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 32 = 17. Let z(n) = -c*n + 6 - 9*n + 13*n. What are the prime factors of z(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**3\/15 + 14*o**2\/15 + 146*o\/15 + 26\/3 = 0. What is o?\nAnswer: -5, -1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 419.883 rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 15 - 5. What is the second derivative of 0*f**5 + 194*f**4 + f**x + 82*f - 70*f**4 - 55 + 56 wrt f?\nAnswer: 20*f**3 + 1488*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w**2 + 2. Let h(f) = 6*f + 2. Give m(h(s)).\nAnswer: -324*s**2 - 216*s - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 + 9 + -4)*1. Suppose q + q - 7 = a, -10 = -d*q. What is the second derivative of -19*s + 49*s**2 - 49*s**2 - 21*s**a wrt s?\nAnswer: -126*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -20, -74, -174, -344, -608, -990?\n\"Answer: -4*j**3 + j**2 - 29*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 4*o**2 + 6*o - 3. Give l(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -370*v - 382*v + 10762 = -18566 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**4\/4 - 2*r**3 + 3*r**2 + 2*r - 2. List the prime factors of j(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 6) to base 11\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -1)*(4985 + 30). Suppose i - 14925 = -10*a. List the prime factors of a.\nAnswer: 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Let i = m + 6. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*n + 25*n + 144. Let h = -848 + 1461. Let i = h + -415. What is the highest common divisor of n and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56810 by -1.\nAnswer: -56810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79856, -79858, -79860, -79862?\nAnswer: -79864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28462 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 24*n**2 + n**2 - n**2 - 11*n**2. Let w(x) = -5*x + 5. Determine w(a(m)).\nAnswer: -65*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + k + 2*k)*(-4*k**2 + 4*k**2 - 2*k**4) + (-17 - 4*k**5 + 17)*(2 - 5 + 1).\nAnswer: 4*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 10, r: 1, s: 3, h: 1, w: 5}. What is prob of picking 1 s and 2 w?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14 and 18.8.\nAnswer: 32.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 714 + -711. Solve 19 = 2*p + 2*p - 3*d, -2*p - q*d + 5 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l + 9. Let p be s(3). Calculate the common denominator of 1332\/(-80)*p\/(-9) and -85\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 177 by -16.\nAnswer: -177\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6\/13)*u**(-2\/5))\/((u*u*u**15)\/(u*u**(3\/14))) assuming u is positive.\nAnswer: u**(-15149\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 107250662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9 + -1.9. Let n = 0.04 - -0.46. What is the smallest value in 0.3, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*p - 22. Suppose 0 = -h + p*h. Suppose 5*f - 145 - 225 = h. What are the prime factors of f?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 8:58 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 89756053?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -292250, -292252, -292254, -292256, -292258?\n\"Answer: -2*w - 292248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10539 (base 14) in base 9?\nAnswer: 60100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 32\/5 of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1221*s + 2 + 625*s + 501*s)*(-2*s**2 + 2*s**2 + 2*s**2) to the form y*s + f + x*s**3 + h*s**2 and give x.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-14)*i**(-1\/4)*i\/(i*i**14*i)*i**9\/i)**(2\/15) assuming i is positive.\nAnswer: i**(-27\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -52938461 from -0.0474.\nAnswer: 52938460.9526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -64781, -64779, -64777, -64775?\n\"Answer: 2*z - 64783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(18) + 0) + sqrt(18) + sqrt(18) + -2.\nAnswer: -2 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 186610 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*t**4 - 2 - 13*t**4 - 3 wrt t.\nAnswer: -36*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -13*q. Let t(o) = -o. Determine 18*t(v) - 2*x(v).\nAnswer: 8*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(112) + -2 - sqrt(112)))**2 + (5 + (sqrt(112) - 2*sqrt(112) - sqrt(112)))**2.\nAnswer: -80*sqrt(7) + 474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 105*t**2. Let v(m) = -m. What is p(v(z))?\nAnswer: 105*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - 9*m**2 - 8*m + 4. Let b be g(-8). Let j be (12\/(-9))\/(8\/b). Sort 0.2, j, 1\/2 in ascending order.\nAnswer: j, 0.2, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) + (sqrt(76)*-1 - sqrt(76)) - sqrt(76))*-3)\/(sqrt(324)*2) - (sqrt(475) + (sqrt(475) - (sqrt(475) - (-4 + -2*sqrt(475)))))*3)*3.\nAnswer: 36 + 46*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -j + 8*g - 3*g, g = 3*j - 15 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 71 - 71 - 58*o**2 as s + n*o + p*o**2 and give p.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.8 - -10.2. Let u = f + -16. Let d = 8 + u. Which is the third biggest value? (a) 2 (b) 1\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -499596 divided by -166532?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 4*z**2 - 5*z + 6. Calculate the remainder when (12\/8 - 70\/(-4)) + -4 is divided by g(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1242 - 1285 - (-1 + 19).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1579 + -1554. Solve o*a + 3 = 24*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of -v**6\/120 + v**5\/60 + v**4\/6 - v**3\/3 - 9*v**2. Let c be j(2). Let b = -3170\/13 + 245. Which is bigger: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -119638*f**3\/9 + 478516*f**2\/9 - 119590*f\/3 - 12 = 0?\nAnswer: -18\/59819, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.031?\nAnswer: -0.031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*r + 68*r = -4*m - 1 + 7, 5*r + 10 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does -72\/1187 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 8) + (1 - (3 - 6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63438, 62626, 61818, 61014?\nAnswer: 60214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.11, 1, -5\/3, -13?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4865)\/15 + 2\/6. What is the units digit of i\/(-21) + 9\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -54\/25 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1948*c + 1875*c + 409 + 175. Solve c = -7*k - 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*j + 14488 = 17656 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 412440 and 1959090.\nAnswer: 7836360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/2607062 or -1?\nAnswer: -3\/2607062","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 332*w + 1347. Let z be m(4). Factor 0 + 9\/4*g + 39\/4*g**2 + z*g**3.\nAnswer: 3*g*(g + 3)*(4*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1219103\/794010 - -2\/6965. Let n = -2\/57 - j. What is the biggest value in -2, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 1320.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -160, -400, -818, -1414, -2188?\nAnswer: -3140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/1990520 and 87\/156398.\nAnswer: 21895720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 270?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -16*l - 44. What is the least common multiple of 132 and c(-9)?\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q\/((q*q*q\/q**4)\/q*q)))\/q)\/(q**(3\/5)\/q))**(-19\/5) assuming q is positive.\nAnswer: q**(152\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82409, -82413, -82419, -82427?\nAnswer: -82437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2. Let w = -31 + 39. Let l = w + -2. Let g = 245 - 267. Let p(y) = y**2. Give g*p(k) + l*z(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 27 - (104 + -24).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1548, 3095, 4652, 6225, 7820?\n\"Answer: y**3 - y**2 + 1543*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + 36 - (-47641)\/(-923)?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b - 2*b**2 - 5*b**3 - b**3 + 5*b**3 + 0*b**3 to m + p*b + f*b**3 + y*b**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*((-1)\/(-3))\/(2\/(-2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**3 - 69*k**2 - 767*k - 2801. What is z(-16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 160*z**2. Let l(s) = -3*s**2. Let n be 0 - (-6)\/4*(-17 - -15). Calculate n*h(f) - 150*l(f).\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 83441.8 centuries?\nAnswer: 8344180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.6602921 + -3.6602611. Let s = 0.83 - -26.17. Let t = a - s. Round t to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6215\/765 + -7 - ((-54)\/(-6) - 73\/9)\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -102*x**2 + 1675*x - 410. Let c(u) = -715*u**2 + 11730*u - 2870. Let k(y) = 2*c(y) - 15*w(y). Factor k(f).\nAnswer: 5*(4*f - 1)*(5*f - 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -219 times 1.5642?\nAnswer: -342.5598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-98)\/(-1127))\/((-1)\/(-23))*12\/(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.033 + -0.143. Let g = -0.29 + f. Let z = 0 - -0.1. Which is the biggest value? (a) 3 (b) -2 (c) z (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 183*k + 4838. Give r(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2556 divide 145398410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -46 - (-48 + -84 + 75)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 7*o. Let j be b(6). Suppose j*q - 3*q - 273 = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.04 and 38.02?\nAnswer: 37.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sbbws. Give prob of picking 2 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 327, 295, 237, 153, 43, -93, -255?\n\"Answer: -13*l**2 + 7*l + 333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 9) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/276 and 19\/552?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72*q + 137*q - 76*q + 14 to j + z*q and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2002364 (base 7) to base 10.\nAnswer: -236177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 22*l = -20. What is the third derivative of -25*n**4 + 8*n**6 - n + 49*n**l + 17*n**2 + 3*n**5 - 24*n**4 wrt n?\nAnswer: 960*n**3 + 180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/3, 5\/3, 6?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -156\/7, 2\/2109 in descending order.\nAnswer: 5, 2\/2109, -156\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20787483 is divided by 10170.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -25, -t + 245 = w + 4*w. Is 16 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83 - -169. What is the remainder when n is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00212176469 to 6 decimal places.\nAnswer: -0.002122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f - 2516 = -2*d, 57*f + 56*f + 218 = -4*d + 116*f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of 2*x**3 + 2*x**2 + 18*x. Is y(6) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 747 and 415?\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*6\/(-15)*1)\/(2\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/3)*z*z\/(z\/z**(4\/3))*(z**1)**(1\/14) assuming z is positive.\nAnswer: z**(73\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -705424 (base 8) in base 6?\nAnswer: -4551020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oossstotooaoaootoot. Give prob of sequence att.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-93 + 4 + 2\/(-2))\/(-2). Let c = -41 + l. Solve -j + c*p = -18, 4*j + p + p = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -125, -305, -557, -881, -1277, -1745?\nAnswer: -2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/1338 and 20\/27.\nAnswer: 12042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q + z + 4, 282*q + 40 = 242*q + 2*z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*m - 4*c, 4*m - 4*c - 6 - 14 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 - ((-46)\/40 - -2) and -33\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2 - 4*h - 4. Let r(v) = 4*v**2 - 3*v - 3. Let k(a) = 2*o(a) - 3*r(a). Let l(g) = 3*g**2 - g - 2. Calculate 4*k(i) + 3*l(i).\nAnswer: i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*n + 3*n = 3, -3*n + 3 = 3*s. Suppose -5*k + 4*r + 477 = s, -7*r + 2*r + 357 = 4*k. What are the prime factors of k?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126722 (base 8) to base 11\nAnswer: 30483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.063 (b) 0.69 (c) 0.3 (d) -0.8 (e) 4 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 9:53 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -h**4\/3 - h**3\/6 - 11*h**2 + 6*h. Let t = -142 + 143. Let y(i) = i. Calculate t*u(b) + 3*y(b).\nAnswer: -5*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhffftmeoehfffffhhhf. What is prob of picking 1 t and 1 m?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5565 + 952?\nAnswer: -4613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*a + 24 - 60. Let o(k) be the second derivative of -28*k + 160*k**2 + 0 + 40\/3*k**a + 5\/12*k**4. Solve o(n) = 0 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1197217*r + 1197267*r + 100 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 + 47601096154.\nAnswer: 47601096060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyax when four letters picked without replacement from ymximaiy.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/39321 and 59\/65029995.\nAnswer: 1105509915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-237)\/(-9) + 3\/(-9). Suppose -5*m + a = 1. Find the second derivative of -3*z**2 + 0*z + 2*z - 3*z**m + 3*z**2 wrt z.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q - 13 = 3*q + 5*q + 5*z, -3*z - 9 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 14. Calculate the remainder when 4\/(-10) - (-6 + 1860\/(-25)) is divided by n.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.44 (b) -1\/2 (c) 0 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 139*i + 56*i + 54 - 264*i**3 - 87*i**2 + 252*i**3 = 0?\nAnswer: -9, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.6 and 1645.\nAnswer: 1643.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 8. Let i be f(-8). Solve i = 2*k - 6*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + -26443141?\nAnswer: -26443145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 147845.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a8 - 114e?\nAnswer: -1307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -16340*s - 49012. What is o(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 11:22 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 36*w**2 + 2525*w + 329. What is q(-70)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10309 is divided by 264.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 109*z**4\/11 - 106*z**3\/11 - 3*z**2\/11.\nAnswer: z**2*(z - 1)*(109*z + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 28*x**2. Let k(v) = 576*v**2 + 7*v + 7. Let y(q) = 285*q**2 + 3*q + 3. Let d(c) = 3*k(c) - 7*y(c). Give f(d(w)).\nAnswer: 1996092*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -62, -154, -284, -452, -658?\nAnswer: -902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 86892 by 43446.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -1984 (c) -2\/137 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**3 + 21*t**2 - 14*t - 18. Let x be w(-11). Is 2\/(-2 - 0) + (x - -2085) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 8 + 12)*(-3*v**2 + 4*v**2 - 2*v**2) - 52*v**2 + 466*v**2 + 421*v**2 to u + r*v**2 + s*v and give r.\nAnswer: 823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 862?\nAnswer: 5\/862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 12, 2*r + 407 = -4*k + 2489. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/20 + (-2)\/(-24)*3\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 849*t**3 - 422*t**3 - 406*t**3.\nAnswer: 21*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2*a - 1. Let o be n(-3). Suppose -1 + o = -2*y, 0 = -5*k - y + 8. Let i(p) = k*p + 6 + p - 2*p. Calculate i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s**6 - 2*s**5 - 4046*s**4 + 12902*s**2 wrt s?\nAnswer: -240*s**3 - 120*s**2 - 97104*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*y = 43, -13*f - y - 32 = -15*f. Solve 0 = l - 5*v - 14, -f*v - 8 = 2*l - 15*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*n**2 - 140\/9*n - 46\/9.\nAnswer: -2*(n + 23)*(3*n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 85*t - 90. Calculate i(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24061*j**3 + 2*j**2 - 31637*j?\nAnswer: -144366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1515414779?\nAnswer: 173, 727, 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -171 + 174. Solve -4*u - 9 = p*v, 5*v + 14 = 2*u - 1 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 7*b + 10. Let l be d(14). Suppose 102*c - 46368 = -76*c - 6*c. Calculate the highest common divisor of l and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssf when three letters picked without replacement from {s: 8, f: 3}?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of 5*s**4\/12 + s**2\/2 - s. Give j(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25677 is divided by 8524?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 34*t + 484. Let n be d(-14). Suppose 4*m + 5*f - 38 = -6, 2*m - 14 = -2*f. Solve 0 = m*i - 4*h - 6 + 19, -h = 3*i + n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -1 - 9. Let k be 132\/36 - 4\/6. Suppose -2*i = -k*i + 2. Solve -i*b + 2 = -y + 3*y, -n*b = -4*y + 40 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/36)*l**19 assuming l is positive.\nAnswer: l**(685\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -358*u - 324*u + 40*u + 163*u.\nAnswer: -479*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -329, 0.07, 2, 0.2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 56225, 112431, 168629, 224819, 281001, 337175?\n\"Answer: -4*q**2 + 56218*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/11 + 6058*g\/11 - 1997400\/11.\nAnswer: 2*(g - 300)*(g + 3329)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -6*g**3 - 6*g**2 - g + 8. Let h be i(-4). Let m = 135 + h. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 - -1.9. Let y = -49 - -46. What is the smallest value in y, 2, p?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34977, -68730, -102483, -136236, -169989, -203742?\n\"Answer: -33753*p - 1224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (26\/39)\/((-2)\/12). Let q(x) be the first derivative of -x**3\/3 - 3*x**2\/2 - 6*x + 1. What is q(c)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5445521*d**3*k + 16*d**3 + 3*d**2*k - 1289*d**2 - 273*d + 9*k + 2 wrt d?\nAnswer: 32673126*k + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*f - 40050 = -430*f for f.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + r**4 - 3 + (-53 + 25 + 14)*(-13 - 4*r + 13)*(-4*r**3 - r**3 - 3*r**3).\nAnswer: -447*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*s - 76 = 598 + 459. Which is the third smallest value? (a) -0.3 (b) s (c) -0.2 (d) -1 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:21 AM and 12:46 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -37*r - 148. What are the prime factors of q(-13)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72090340 by 70.\nAnswer: 1029862","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15632693 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 6 = 12. Suppose -9*s + 8*s + b = 0. Solve -2*u = -8, 26 - 4 = s*o + 5*u for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 + 3)*(a**3 - 3*a**3 + a**3) - 272*a**3 - 272*a**3 + 6 + 536*a**3 to the form q*a**2 + h*a + k*a**3 + v and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**2 + 19*i**2 - 3 + 8*i - 3*i**2 + 3*i**2 - 4*i**2 to the form p*i**2 + z*i + l and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -101895.891*-4\nAnswer: 407583.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 - 1968234*n + 1968234*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i**3 - 2*i**3 - i**3)*(3 + 4 - 1) + (0*i + 0*i + 2*i)*(2*i**2 + 3 - 3) + i**3 - 3 + 3 + 1.\nAnswer: 17*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m**3 + 12*m**2 - 13*m + 53. Let t be j(3). Calculate the greatest common divisor of t and 7291.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -586 + 2888. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 192048?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.4, -5.1, -1\/2, 2\/9, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*o**2 - 6*o**2 + 2*o**2)*(-4 + 9 + 0) + 2 - 2*o**2 + 6*o**2 - 3*o**2 to v + u*o**2 + m*o and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49144866 to the nearest integer?\nAnswer: 7010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19578167.\nAnswer: 7, 479, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 + 938*m**3 - 935*m**2 - 1874*m.\nAnswer: -m*(m - 937)*(m - 2)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -63, 0, -6 in descending order.\nAnswer: 0, -6, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -11*l. Let b be (66\/(-3))\/(0 + 2). Let d(w) = -32*w. Let p(i) = b*s(i) + 4*d(i). Let v(x) = -2*x**2. Determine v(p(c)).\nAnswer: -98*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 11. Let k be l(11). Suppose k = 10*v - 78 - 92. What is the highest common factor of v and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -30*f**2 + 30*f + 42. Let t(m) = -5*m**2 + 5*m + 7. Give 2*d(s) - 13*t(s).\nAnswer: 5*s**2 - 5*s - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 5712*d - 51420. Calculate o(9).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - 34 - d + 30)*(0 - 12 - 12)*(0 + 0 - 2*d**2 + (d - 3*d + 4*d)*(-2 + d + 2) + 3*d**2 - 5*d**2 + d**2).\nAnswer: -24*d**3 - 96*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9002.129 centuries?\nAnswer: 900.2129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 5134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -115049*f + 1380583. Give m(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -525, 218, 1\/2 in increasing order.\nAnswer: -525, 0, 1\/2, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 18, 153, 526, 1257, 2466, 4273, 6798, 10161?\n\"Answer: 20*q**3 - q**2 - 2*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.5, -0.4, -4, 4\/9, 29\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of -76 - 3*h**3 - 11*h - 11\/2*h**2. Let j(p) = 3*p**2 + 4*p + 4. Give -6*a(c) - 17*j(c).\nAnswer: 3*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1238\/4333)\/((-67)\/7)?\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 + 4*a - 2. Let o be f(-2). Let s(u) = 6*u - 16*u - u**o + 0*u. What is s(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2511549?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 984 divided by -12\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7}. What is prob of picking 4 w?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 1. Let g(l) = 6*l**2 + 2. Let s(i) = -i**2 - 7*i + 21. Let b be s(-9). Determine b*g(t) - 8*p(t).\nAnswer: 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 8*r**3 - 28*r**2 + 3*r. Let y(t) = -t**2 - t. Let c(u) = g(u) + 3*y(u). What is the third derivative of c(l) wrt l?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 589*f - 3*n + 19 = 588*f, -f = -4*n + 24. Let j(a) = 7*a**3 - 4*a**2 + 2*a + 4. Let c(z) = -z**2 + 1. Calculate f*c(m) + j(m).\nAnswer: 7*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2401894 or 2401873?\nAnswer: 2401894","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 28152279 a multiple of 784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3781*w**2 + 14038*w**2 + 1308*w**2 to m*w**2 + n*w + x and give m.\nAnswer: 11565","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + v = 9. Suppose 0 = 2*q - 3*q + v*y, 0 = -3*q + 4*y + 5. Factor -l**q - l**2 + 4*l**2 - 5*l**2 + l**4.\nAnswer: l**2*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 388.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 288 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5 + 5*sqrt(3)))**2.\nAnswer: -50*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -25688825*d**2. Let i(n) = -6*n**2. Calculate x(i(b)).\nAnswer: -924797700*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u - 24. Suppose 4*m + 16 = 0, h + 2*m + 6 = m. Let o be (h\/4)\/(4\/u). What is the highest common factor of o and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -6*r - 8 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -1\/15*y**2 + 0*y + 1\/30*y**4 + 0*y**3 + 1. Solve g(v) = 0 for v.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 18*m**4 + 114*m**3 + 200*m**2 + 136*m + 32 = 0.\nAnswer: -4, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1451*t = -o + 1456*t - 9, o - 9 = -4*t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 53*h**2 - 135*h. Let g(f) = 64*f**2 - 162*f. Let c(u) = -6*a(u) + 5*g(u). Suppose 3*x - 2 = 2*x. Let j(q) = -q - x*q + 0*q. Determine c(j(y)).\nAnswer: 18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 2*u**2 - 2. Give q(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -2 (b) -1 (c) 0.1 (d) 4 (e) -2\/7 (f) -319 (g) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 9*y - 27. What is m(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 6*r - 2*r - 2*r to l + c*r and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/1*(-542)\/(-6). Let f = i - 65. Let y = 6175\/7 + -885. What is the common denominator of y and f?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -915, 0, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**3 + 43*v**2 - 2*v - 7. Let c be s(12). Let a = c - -753. Factor 10\/3*w**2 + 14\/3*w + 2\/3*w**3 + a.\nAnswer: 2*(w + 1)**2*(w + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1130.\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 703*q - 136 = 839*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.09, 1, 14\/647, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 5)*(0 + 0 + 2*k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -19841, -79360, -178559, -317438?\n\"Answer: -19840*c**2 + c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*z - 25 = 32*z. Let m(d) = 2*d**3 - 7*d + 5. Does 26 divide m(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -120221 (base 3) to base 13.\nAnswer: -271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 405, 821, 1237?\nAnswer: 1653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 4317 and -25.5.\nAnswer: 4291.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 53*t**5\/30 - t**4\/24 + t**2. Let x be n(1). Let r = 8 + x. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-4)*(-1 + 9). Suppose i*a - 75 = -h, a + 4 = -5*h - 1. 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: What is the common denominator of -47\/9284 and 105\/14762?\nAnswer: 6229564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v - 9. Let n(a) = -48*a - 51. Let j(s) = 34*h(s) - 6*n(s). Let i(l) = -l**2 - 9. Determine i(j(r)).\nAnswer: -324*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 303*r**3 + 20566*r - 1564134 with respect to r.\nAnswer: 909*r**2 + 20566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + 4*j + 2. Let x be y(-4). Find the third derivative of -3*v**3 - 6*v**2 - 20 + 20 - x*v**2 wrt v.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1713 - -573. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6396, 6355, 6314, 6273?\n\"Answer: -41*a + 6437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-1\/5)*o)**(-46)*o**(2\/15)\/o**(6\/7))**(-4\/7))**(-4\/19) assuming o is positive.\nAnswer: o**(-12608\/2793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -41.53208 to one dp.\nAnswer: -41.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of y**4\/12 + 77*y - 1. Let b(f) = -682*f**2. What is l(b(a))?\nAnswer: 465124*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -7600310, -7600298, -7600286?\n\"Answer: 12*t - 7600322","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 89*n + 1426. Let i be t(21). Sort i, 2\/15, -1, 0.6, 0.\nAnswer: i, -1, 0, 2\/15, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -6 - (-45)\/9 - (0 + -1). Suppose 3*c - 4*x + 10 = m, -2*c + x + 6 = 3*c. Solve 0*q - 8 = -c*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-45))\/((-4)\/6*1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-28) + 28*62\/(-1519)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -84, -4*l + 5*q - q + 64 = -24 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6798 - 6793. Which is the second biggest value? (a) -107 (b) -0.2 (c) y (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13540 and 820?\nAnswer: 555140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 222 divided by 37.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-102)\/(-12))\/(2\/4). Let j = 22 - f. Suppose d = 4*g - j, 4*g + 2*d = g + 12. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527 = -38*o - 109. Solve 16*d - o*d = 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 56961*w + 5. Let y(v) = v - 530. Calculate y(d(a)).\nAnswer: 56961*a - 525","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -41\/10 (b) 0.08 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/7*i**2 + 1\/7*i**3 - 30\/7*i + 0 = 0 for i.\nAnswer: -5, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*p + 91*p + 8. Find the third derivative of 6*q**2 + 4*q**2 - 13*q**p + 55*q**3 - 4 wrt q.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2361*y + 389572. Give c(165).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (468\/(-27))\/13*(-18)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 - -70.62. Let x = -0.5 + l. Let f = x - 0.16. Round f to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5259, 5252, 5243, 5232?\nAnswer: 5219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4201 - -7728. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 106\/315 and -13\/900.\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/(sqrt(441) + -2*sqrt(441)))**2*-6.\nAnswer: -18\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-24))\/((-2)\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 8*z**2 + 3*z + 1. What is the remainder when b(-3) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -52188, -52253, -52318, -52383?\n\"Answer: -65*u - 52123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n - 5. Let j(t) = -2*t - 11. Let z(x) = -6*j(x) + 11*p(x). Let k be z(-9). What is the first derivative of u**2 - u**k + u**2 - 3 + 2*u**2 wrt u?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*t + 4 + 11, 0 = 2*t + 4*z. Let s = t - -12. Does 5 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 10, -7 in descending order.\nAnswer: 10, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 6:53 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 339 - -235. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12993913 less than -12993912?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c - 133 + 121 = 0. Calculate the common denominator of (-2)\/5 + (-1293)\/30 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/442 and 5\/26.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*g - 50*g = 49*g - 171 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(175)*2 + 2 + sqrt(175) + (sqrt(175) - (-1 + sqrt(175))*6 - sqrt(175)))*4)**2.\nAnswer: -15360*sqrt(7) + 104896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 216 and 462?\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9d3a (base 15) to base 12\nAnswer: -17377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23186*j**4*r - 4*j**3*r + 2*j**2*r + 70*j**2 + 279 wrt j.\nAnswer: -556464*j*r - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (28 - 1)*1 + -3. Let o = -2036\/1705 - 2\/341. Find the common denominator of o and g\/15 + -3 - 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-4*sqrt(24)\/sqrt(4))\/(sqrt(2) - (sqrt(2) - (sqrt(2) + sqrt(2) + -2*sqrt(8)))) + 5).\nAnswer: -15 - 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*n + 6079 = w, 5*n - 3050 = -w. What is the second derivative of -19*i**2 - 6*i + 3*i - 3038 + w wrt i?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3587*c**4 + 2477*c**2*p**2 - 370147*p**2 + 21 wrt c.\nAnswer: 14348*c**3 + 4954*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, -20, -11 in increasing order.\nAnswer: -20, -11, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174185 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 4*k**2 + 6*k - 2. Suppose -2*a + 1 + 28 = 5*v, -9 = 3*a - 3*v. Let i be -2 + 4 + (a - -11). Suppose -5 = -2*b - i. What is t(b)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1230554 and 157092.\nAnswer: 7383324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*g**3 + 45*g**3 + g**2 - g**2.\nAnswer: 9*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/6 + 247\/57. Suppose 3*c + 145 = -5*i, -3*i + 87 = -6*i + x*c. Let f = i - -101. Is f a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 h when two letters picked without replacement from {g: 2, h: 5, b: 2, v: 1, f: 2, w: 5}.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3491*q + 50. Let d be h(11). Let r = d + -268239\/7. Let f = r - 131. Sort f, -0.16, 1 in descending order.\nAnswer: 1, f, -0.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 1, e: 4, j: 3}. Give prob of picking 1 r and 1 j.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.43102575 to two dps.\nAnswer: -1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6434 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**3 + 3*q**3 - 3*q**3 + 4*q**3 + q**2.\nAnswer: 10*q**3 + q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 103 = -3*j + 2, 5*g - 29 = 2*j. Let p be (-2*(-8)\/(-3))\/(6\/j). What is the greatest common divisor of p and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - (-2 - -4)) + 2. Let x = u - -14. Suppose 70 = 2*b + x. Calculate the remainder when b is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (-312)\/64)*(-2)\/(-3).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = 3*o + 9, 16 = -3*o + o - 127*z + 124*z for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 10*p**2 + 6. Let r(t) = t**3 - 7*t**2 + 4. Suppose -15*f = -3*f - 60. Let c be 2\/(-6)*-3 + -8. Determine c*r(u) + f*v(u).\nAnswer: -2*u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -594337 divided by 19.\nAnswer: -594337\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.116 - 0.19. Let l = -3.074 - t. Put -9, -1, l in ascending order.\nAnswer: -9, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -677 - 34?\nAnswer: -733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*a**3*u**3 + 429370*a**3 - 3619*a*u**2 wrt u?\nAnswer: -12*a**3*u**2 - 7238*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -1. Let g(s) = 5 + 3*s**a - 5*s - 5*s**2 + s**2. What is g(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 11*p**2 - 12*p + 4. Let b be r(-12). Suppose 3*a - 2*f - b = -0, 5*f - 32 = -3*a. Sort a, 4\/7, -5 in ascending order.\nAnswer: -5, 4\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -362796, -362802, -362826, -362880, -362976?\nAnswer: -363126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -8735*x - 471686. Give i(-54).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 69 - 4. Suppose -7*k = -2*k - h. Calculate the greatest common divisor of k and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 = -4. Suppose 3*u + 2*g - 15 = 0, 2*u - 2*g = 4 + 16. What is the remainder when u is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 + 2)\/((-1)\/5). Suppose 154 = 3*v + 2*b, 2*b - 282 = -f*v + 5*b. Let h = -1 + v. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 + 0 = -4*g, 5*v + 3*g - 10 = 0. Solve -v*u = -7*q + 2*q - 1, 0 = 4*u - 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 4*t**5\/9 + 1259732*t**4\/9 - 16377020*t**3\/9 + 18056884*t**2\/3 - 2099672*t - 10078272 = 0?\nAnswer: -314946, -1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v. Suppose -3*j + 123 = -v*j. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 208?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 0*t - 5*j + 8, -4*j = 0. Suppose -b + 2*x = -3, x - t*x - 26 = -4*b. Suppose -20 = 4*c, i + 14 = 4*c - b*c. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 3548.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 734240 not equal to 43320220\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21945*u - w + 60 = 21923*u, -5*u = -w + 26 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**4\/24 - x**3\/6 - 10*x**2. Let o(n) = 9*n - 16. Let j(c) = 4*i(c) + o(c). What are the prime factors of j(6)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/((-2 - -1) + 2). Let u be ((-2)\/3)\/(6\/(-9)). Suppose t - u = w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*k + 2*k + f, 4*k + f = -13. Calculate the remainder when 26 is divided by (2\/k)\/((-1)\/7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88116, 88193, 88274, 88359?\nAnswer: 88448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -56795\/12 + 4723. Let z be 52\/(-3) + (-4)\/6. Calculate the common denominator of x and 82\/z + 1\/(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2369*k**2*q**2*u + k**2*q*u - 5*k**2*q + 1723163*k**2*u - 6405*k*q**2*u + q wrt q.\nAnswer: 4738*k**2*u - 12810*k*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000010564 rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j**(3\/2)*j))\/j*j*j**(-1\/4))**(-2\/7)*(j\/(j*((j**(-7)\/j)\/j)\/j)*j*j**7\/j*j)**(-46) assuming j is positive.\nAnswer: j**(-11577\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, u: 2, w: 1, a: 3, n: 7}. What is prob of picking 1 n and 1 w?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.07 from 9.3.\nAnswer: 9.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**5\/60 + 7*r**4\/24 - 3*r**3\/2 - 36*r**2 - r. Suppose -20 = -4*f + 4. Give i(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/5 + 34\/(-85) + -19. Let s(k) = -35*k + 128. What is the hundreds digit of s(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -12*((-5)\/2 - -3). Let u(t) = -5*t + 11. Let a(j) = 9*j - 21. Let y(x) = 6*a(x) + 11*u(x). What is y(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -8, -16*q + 6*q + 4*w = -7*q - 34 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u - 8*u - 3 + 2 + (-3 + 3 - u)*(0 + 0 + 2) + 3*u + 0*u - 2*u + 1 - 1 + 2*u + 0*u - u + 3*u.\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the second derivative of j**4\/3 + 19*j**3\/6 - 3*j**2\/2 - 9*j + 3. What is the tens digit of n(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 - 19*m + 11. Suppose 2*j + 4*c = -j - 27, -5*j + 4*c = 45. List the prime factors of s(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3) + 5 - (5 + (sqrt(14)\/sqrt(2))**2) - (-4*(-1*sqrt(700))**2 + 1).\nAnswer: sqrt(7) + 2792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -78*b**2 - 2*b - 9. Let j(v) = -39*v**2 - v - 4. Let o be (1 - (-11 - -9))*7\/3 - 3. Give o*r(s) - 9*j(s).\nAnswer: 39*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y - 5. Let h(v) = -13*v - 130. Let i be h(-10). Determine f(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 13. Suppose 3*s - 590 + 560 = 0. Let i be (-12)\/(96\/s) + (-83)\/(-60). What is the third biggest value in i, -1\/3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 932554 is divided by 62136.\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -4*t. Let h be g(-2). Suppose -2*s + 24 + h = -j, -4 = j. What is the remainder when (65\/(-5))\/(1\/(-2)) is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + a. Let n be d(1). Let m be (-3)\/(-9) + 10\/(-48). What is the third smallest value in n, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b + 7. Let v(o) = -9*o + 13. Calculate 7*g(w) - 4*v(w).\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4 + 37.43088.\nAnswer: 37.03088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 3 = -52*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5 - d**4 - 21*d**3 - 11*d**2 + 68*d + 60 = 0.\nAnswer: -3, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10162660?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -224 + 337. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(825)*4)\/sqrt(3).\nAnswer: 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 297167, 297150, 297123, 297086?\nAnswer: 297039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 819950 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*o**2 + 2 + 2 - 2*o**2 wrt o.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 37\/60*h**5 + 2*h + 91\/24*h**4 + 0*h**3 - 6*h**2 + 0. Find the second derivative of a(u) wrt u.\nAnswer: 74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51*-0.046.\nAnswer: -2.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 32, 41, 48, 53, 56?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 4074?\nAnswer: 4072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18524 + 56275909\/3038. Let h be -3 - (-1)\/((-33418)\/(-59274)). Let i = a + h. Calculate the common denominator of i and -151\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 167, -31, -13\/44 in ascending order.\nAnswer: -31, -2, -13\/44, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*g + 310000. Round g to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70148\/(-1824) + 39 - (1 + 5\/(-8)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1958, 7386, 16414, 29030, 45222?\nAnswer: 64978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 4*u - 2. Suppose 5*w = -v + 3, 2*v = v + w - 3. Let f be k(v). What is the third derivative of 4*b**2 + 3*b**6 - 2*b**f + b**2 wrt b?\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**0*o)**(-1\/11)\/((o**(7\/5)*o*o)\/(o**(2\/21)*o)) assuming o is positive.\nAnswer: o**(-2872\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -26*w + 13. Let f be c(1). Let i(v) = -v**3 - 12*v**2 + 11*v - 3. What is the remainder when 38 is divided by i(f)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 552966 and 1932?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/12325705 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*j = -52, 0 = 4*x - j + 3*j - 92. Let g = -20 + x. Solve -4*n + 15 = p, -5*n = g*p + p - 24 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143230.5 rounded to the nearest 1000?\nAnswer: -143000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/17, -0.4, 0.205, -41, -3, -2\/3, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 187689, 187683, 187675, 187665, 187653, 187639?\n\"Answer: -q**2 - 3*q + 187693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 805326117?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 26460?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 91 = -33*a. Solve -a*h + 3*m = 32, 5*h = -0*m + 2*m - 33 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 133964 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 2*q - 28, q + 4*q + 2*a - 108 = 0. Calculate the remainder when 572 is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -232, -625, -1192, -1957, -2944, -4177, -5680, -7477?\nAnswer: -9592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 2422*b - 2427*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1873304279?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127065655?\nAnswer: 5, 1013, 25087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (0 - -1 - (5 - 2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d**3 + 25*d**2 + 7*d + 482. Determine q(10).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 871*q**5 + 786*q**4 + 230118*q**2 + q wrt q.\nAnswer: 52260*q**2 + 18864*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 5*j = 865, -7*z + 5*z + j = -340. Which is the nearest to 0? (a) 5 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/102 and -99\/2414.\nAnswer: 7242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893 is divided by 95.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14039 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 h when two letters picked without replacement from fhjrzjfz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4508 = -623*d - 631*d + 127*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33.5 - 33. What is the smallest value in 0.3, c, 5, -2\/27?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 59, 567, 1085, 1619, 2175, 2759, 3377, 4035?\n\"Answer: a**3 - a**2 + 504*a - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3868117155 to the nearest integer?\nAnswer: 1570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2098 - 2097.97632. What is g rounded to 3 dps?\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (400 + 15134*o**4 - 1378 + 978)*(3 - 4 + 2).\nAnswer: 15134*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Suppose 0 = p - 2*p - i. What is the least common multiple of (p + 1 + -1)*-6 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 2239, -8, -5 in ascending order.\nAnswer: -8, -5, 0, 3, 2239","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -780000 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7)\/p**(-10)*(p\/(((p\/(p\/(p\/(p**8*p)))*p*p)\/p)\/p))\/p*p*p*p\/p**(-1\/5))**25)**23 assuming p is positive.\nAnswer: p**(86480\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = -3*y + 7, 439*y + 69 = 440*y - 14*d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 0 = 4. Suppose -2*n + 5*b = t, 0*b = -3*n - 3*b - 12. Let d = 0 - n. Solve -3*h - 5*v + 0 = 20, h = -d*v - 8 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 3*t + d + 12, 3*d = 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (177 - 7)*(3\/(-6) + -3). Let g = -603 - n. Let b(d) = 2*d**2 - 6*d + 1. Let j(k) = -k**2 - k. Let c(w) = -b(w) - 3*j(w). What is c(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 415*g**2*u - 5*g**2 + 63*g + 2*u wrt u?\nAnswer: 415*g**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4*z - 22978 = 0, -k - z + 11474 = 2*z. Suppose k - 32104 = -17*o. What are the prime factors of o?\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -470*q**4 - 1535*q**4 + 597 - 180 - 1448*q**4 - 3817 wrt q.\nAnswer: -13812*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.2. Let k be (-872)\/(-210) + (-26)\/(-195) + -4. What is the nearest to m in 1, -9, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c**3 - 35*c**2 + 12*c - 14. Give l(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:51 AM and 1:05 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 + 3*a**3 + 13 + (5*a - 2*a + 11*a)*(a**2 - 3*a + 3*a).\nAnswer: 17*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from quu.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0639 and -486?\nAnswer: 31.0554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2442 (base 6) to base 10.\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 24 = -4*h, -3*h - h = -p + 22. Let n = -104\/693 - 2\/63. Let b = 2 - 3. Put n, h, b in descending order.\nAnswer: n, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 + 15*c**2 - 3*c + 47. Let y be v(15). Suppose 9 - 32 = -y*p - l, p - 22 = -4*l. Calculate the highest common divisor of p and 1730.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*z + 3. Solve -4 + 18*f**z - 2*f + f**3 + 5*f**3 - 10*f**2 = 0 for f.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**4 - 5*k**2 + 5*k - 2. Let o(s) = -s**4 + 4*s**2 - 4*s + 1. Let v(m) = -4*n(m) - 5*o(m). Find the first derivative of v(g) wrt g.\nAnswer: -12*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-20196)\/(-168))\/(-17))\/(147\/196)?\nAnswer: -66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of g**6\/2 - 6*g**5\/5 + 2*g**3 - 3*g**2\/2 + 1. Let o(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -1, 0, 2 in descending order.\nAnswer: 12, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12663 divided by -201.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -68 and 786.88?\nAnswer: 854.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/948495 and -91\/76905.\nAnswer: 2845485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13936913 (base 10) in base 14?\nAnswer: 1bcb09b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 111011001111?\nAnswer: 111011010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/28884 and -119\/45588?\nAnswer: 3783804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + -4 + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 + 14*l - 6. Let h be w(13). Suppose -h*t - 333 = 108. Let d = t + 53. Which is bigger: -12 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -14*w**2 + 5 + 11*w + 19*w**2 - 4*w**2. Determine l(-5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.037, 4\/3, -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16285*b**3 + b**2 - b + 305273 wrt b?\nAnswer: 48855*b**2 + 2*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, 5 in decreasing order.\nAnswer: 14, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.46316423 - -87.\nAnswer: 91.46316423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 0, -0.1, -109?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15 + (-2211555)\/(-60))*4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -73, -116, -177, -262?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 10. Let j = -13 + 19. Let t = j - m. Is -0.2 not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 - (-9 + (33 + 28 - 22))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 123 = 51. Let a = -19 + w. Solve 5*o - a = -14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b899 + -82?\nAnswer: b817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 424*k + 9236. Give j(-22).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 341*t - 7567 = -241*t - 1 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 3 = 4*n, -25*o - 84*o + 3139*n - 3135*n + 315 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 24 = -3*g, 21*g - 46*g - 58 = 5*h - 18*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**7\/2940 - m**6\/210 - m**5\/35 - 2*m**4\/21 + 5*m**3\/3 - 7*m**2. Let d(f) be the first derivative of l(f). Factor d(c).\nAnswer: -2*(c + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55 and 3355.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*g**2 - g**3 - 7*g**2 + (-3*g + g + 3*g)*(2072 + 494*g**2 - 2072) + 2*g**3 + 0*g**3 + 0*g**3.\nAnswer: 495*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 + 1 - 6 - 1 + 5.\nAnswer: 2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18443536\/(-58) - 4*(-1 + 3). What is n rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 4*o**2 + 4*o. Let a be l(3). Suppose -54*t = -48*t - 2826. Suppose -t = -a*p + 393. Calculate the highest common factor of 32 and p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4614902 - 3868460 = -51*q + 2346641. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -2) + -2 + 8 + 5 + 0\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-139.\nAnswer: 2.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 13 + 114?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9*(-8)\/2712*(-2)\/(-3). Let m = 119\/339 + p. Which is the nearest to -0.4? (a) m (b) 6 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 799 + (-5)\/(-5). Let m be -2175*(0 - i\/6). What is m rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*l + 8. Suppose -i - i = 2*f - 10, 0 = 4*i - l*f - 20. Solve -7 - 3 = i*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1109 and 3383.\nAnswer: 3751747","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6*r + r = 77, -m - 2*r - 38 = 0. Let f = -29 - m. Let h be 5 - f - 4\/(-1). Solve -16 = 6*g - h*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 136 = -22. Is 113 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3432 - 3411. What is the greatest common factor of f and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 309 = 5*s - 27*h + 25*h, -300 = -5*s + 5*h. Calculate the remainder when 199 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16 or -0.0069?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25335490 is divided by 4152.\nAnswer: 4138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49388 is divided by 101?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1.06 (b) 3\/7 (c) 2 (d) -0.1 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15.5 or -2\/3?\nAnswer: 15.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = k - 42 + 3, -5*y = -10. Let p = -513 - -551. Let v = k - p. Calculate the remainder when 11 is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17400)\/(-14616)*(-21)\/(-45).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 911030?\nAnswer: 2, 5, 17, 23, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -297954*g. Let f(u) = -u**2. What is v(f(j))?\nAnswer: 297954*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3392 + -3462. Put g, -1\/4, -0.5, -2\/7 in decreasing order.\nAnswer: -1\/4, -2\/7, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 106*y**2 - 224*y - 866. Determine j(-108).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 7*y**2 - 10*y - 33. Let x(r) = 2*r**2 - 6*r - 17. Let c(k) = 3*b(k) - 5*x(k). Let j = 2 - -2. What are the prime factors of c(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6)\/((-30)\/(-270)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 727, 5279, 12863, 23479, 37127, 53807?\n\"Answer: 1516*r**2 + 4*r - 793","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536131347 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246078 is divided by 1080.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 1819 - 1513 = -16*u, 5*u + 29 = -4*h - 58 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 366*d - 268*d + 1 + 5720*d to r + y*d and give y.\nAnswer: 5086","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20a7a28 (base 11) to base 6\nAnswer: 211150013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 33*q - 49. Let g be l(-14). Let h = 1090 - g. What are the prime factors of h?\nAnswer: 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-462)\/36)\/(1\/(-6)). Let i(n) = -5*n**2 - 3*n + 12*n**2 - n. Let r(m) = -133*m**2 + 77*m. Give d*i(s) + 4*r(s).\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -177 + 182 + 3*l + 0*l. Suppose -25 = 17*y - 12*y. Let k(r) = -2*r - 4. Determine y*k(z) - 4*m(z).\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**10)**(11\/3) assuming p is positive.\nAnswer: p**(110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99 - 117 = 9*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -385 (c) 0 (d) 1 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2*t. Let j(l) = -1022 + 1257*l + 513 + 509. Determine j(n(q)).\nAnswer: 2514*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 - 5*t + 1. Let z be i(5). Let w = -12 - -9. Let v = z - w. Solve 0 = r + v + 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(288)*2*3 - -2*sqrt(288)*1) + -6*2*sqrt(288) + 2 + -5))**2.\nAnswer: 10368*sqrt(2) + 166212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {x: 1, h: 1, b: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (88 - 324 - -105) + 68?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0889367 + 55771.63?\nAnswer: 55771.5410633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r**(-1\/4)*r)*r)\/r)**26)**32*(r**(-9\/2)\/((((r*r**0)\/r)\/r)\/r))**(-13) assuming r is positive.\nAnswer: r**(481\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -26*k. Let m(z) = 3*z**2 - 9*z - 9. Let w(a) = -a**2 + a + 1. Let n(p) = -m(p) - 9*w(p). What is x(n(s))?\nAnswer: -156*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 172562 divided by -6\nAnswer: -86281\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 768950845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 18*l**2 - 1. Let c(h) = 278*h + 287*h - 563*h. Calculate t(c(p)).\nAnswer: 72*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-1)\/(-4)*(-280)\/(-210)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*t + 24*t + 76*t.\nAnswer: 144*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/183183 and -41\/3302.\nAnswer: 46528482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**6\/360 - 13*y**5\/120 + y**4\/24 + 13*y**3 - 2*y**2 - 2*y. Let w(c) be the first derivative of u(c). Calculate w(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -19) + -27 + -4 - -49.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 + 32. Let o be v\/30 - 398\/(-5). Suppose -10*p + o = -5*p. Solve -4*h = -p, -3*h = -4*i + 2*h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3453*j**3*l**2 + j**3 - 8*j**2*l**2 - 9*j*l**2 + 64359*j + 2*l**2 wrt j.\nAnswer: -20718*j*l**2 + 6*j - 16*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 292*m - 102 = 286*m. What is the derivative of -1513 - m*v**2 - 13*v**2 + 1442 + 7*v**2 wrt v?\nAnswer: -46*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 774568 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11)\/(-5) - (-4)\/(-20). Suppose 0 = y*o + o - 36. What is the least common multiple of (0 - -24)*20*(-8)\/(-128) and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.5 (c) 3479\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(833)) - sqrt(833))**2 - (sqrt(833) - (sqrt(833) + 2))*-6 - ((-3 + sqrt(833))*-6 - ((sqrt(833) + -2)*-2)**2).\nAnswer: -238*sqrt(17) + 16655","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357441 is divided by 2840?\nAnswer: 2441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -10*d - 75. Let z be 2\/(-5) + (-24)\/(-10). Suppose b = j + 39, -b = -0*b - z*j - 34. Calculate the remainder when b is divided by q(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -4*m - 48. Let p be (m\/132)\/((-2)\/(-4)). Which is the second biggest value? (a) 1 (b) -2\/9 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 721165 is divided by 968.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 204 = -5*s. Let d be (-3 + -3)\/(-15 - -9). What is the least common multiple of s and 2 - d - 3 - -2 - -4?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/16)\/((-4)\/(-224)). Suppose 23*f - r = 18*f. Let i = 53 + f. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -46211.8 and 0.010065.\nAnswer: -46211.789935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34767883 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -251 + 2884. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/3648166 and -75\/34.\nAnswer: 3648166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, n: 2, w: 1, k: 1, m: 2, q: 2}. Give prob of sequence wgk.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12217, -15, 2\/23.\nAnswer: -15, -5, 2\/23, 12217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -142 (base 14) to base 4\nAnswer: -3332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) 1 (c) -3258 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -292*l**3 - 4*l**2 - 365. Let m(z) = 291*z**3 + 5*z**2 + 364. Let n(p) = 5*j(p) + 4*m(p). Differentiate n(x) with respect to x.\nAnswer: -888*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25.377 - -27.79. Let h = -2.6559 + i. Let c = h - -0.24. What is c rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 40 + -2?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -1070810.\nAnswer: 1\/1070810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d - 105 = -0*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*((-1 + (-4 + 1 + sqrt(300) - (sqrt(300) - ((sqrt(300) - 2*sqrt(300)) + 1))))*-3)**2*-3.\nAnswer: -8343 - 1620*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 244 and -1346.\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/175 and -111\/2750.\nAnswer: 19250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 + 5*d + 3. Let h be l(6). Let y be (-3110)\/(-42) + 4\/14. Let w = h + y. Which is the third biggest value? (a) w (b) -2 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6618571?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3*v - 18, 0*v - 4*y + 14 = -v. What is the units digit of (20\/4 + -8)\/(v\/(-54))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*x - 7*x. Let d(g) = g**3 - g**2 - g + 18. Calculate d(x).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 + 110 - 55 = 17*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*(sqrt(432)*6 + sqrt(27))*3)**2.\nAnswer: 2430003","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000449 to three decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 98*u + 2914. Let i be r(-29). Solve -96 + i*k + 3\/2*k**3 + 45\/2*k**2 = 0.\nAnswer: -8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11031 is divided by 76.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y + 69. Let x be l(32). Find m, given that 0*m - 3\/2*m**2 - 3\/4*m**3 + 15\/4*m**4 + 0 - 3\/2*m**x = 0.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*m + 16 = -12*m. Find the third derivative of 2*n**2 - 41*n**m + 16*n**2 + 8*n**5 - 42*n**2 wrt n.\nAnswer: 480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*v**4 + 1088480*v**3 - 56*v**2 + 1397565*v.\nAnswer: 168*v + 6530880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.95645 - -10.86. What is z rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1119, 0, 4 in ascending order.\nAnswer: 0, 4, 1119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/80 and -48\/67?\nAnswer: 5360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 3*y**2 - 6*y - 6. Let h be u(-4). Calculate the least common multiple of 2*2\/(8\/h) and ((-36)\/10)\/((-4)\/10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 97223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2 - 5*g - 5. Let r(k) = 6*k**2 + 4*k + 4. What is -4*n(y) - 5*r(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 947*b**3*p**3 - b**3*p**2 - b**3*p + 35*b**3 - 381*b**2*p**3 - b**2*p - 978*b**2 + p**3 wrt b?\nAnswer: 5682*p**3 - 6*p**2 - 6*p + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 181623111 to the nearest integer?\nAnswer: 13477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4.1. Suppose 2*p - 1 = 4*s - p, -2*s + 5*p - 11 = 0. Suppose s*y = -y. Which is the biggest value? (a) i (b) -4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001067 to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5655695 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 greatest common divisor of 15996789 and 298?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(891) + sqrt(891))**2 + sqrt(891))*-5 - (sqrt(891) + 1)*2 - (-4 + 2*sqrt(891))*3.\nAnswer: -17810 - 117*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.254808 and 0.05.\nAnswer: -0.0127404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6*12\/15)\/(104\/20)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1384 is divided by 455.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 486023.9 weeks?\nAnswer: 293947254720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -419955 < -839909\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 19*a + 34. Let w be m(15). Let t be 80\/(-832) + 4\/w. What is the nearest to 1 in t, 3, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*v + 18 = 0, -5*o + 3*v + 15 = -3*o. Let i be 10\/2*8\/10. Suppose x = 4*z - 9, -i*z - 2 = -3*z + 4*x. Solve -c + o*c - z = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11163204 and 2106.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**3 - 3*d - 2. Let x(i) = -i - 1. Suppose 4*p - 20 = -2*f + 2, -2*p = -10. Calculate f*n(s) - 3*x(s).\nAnswer: -3*s**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-2)\/(-80))\/((-16)\/(-64)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 - 5*y + 4. Let v be j(-5). Suppose -5*x + 7 = -2*x + 4*l, 4*l + 28 = 4*x. Solve -x - 11 = -v*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-30) - (-236)\/30. Let y(c) = -c**2 + 11*c + 2. List the prime factors of y(p).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-552 + 553)\/(-2 - (-1 - 4\/3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10136586 - 3?\nAnswer: -10136600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 5*t + 2. Let k be o(5). Suppose -p + 5*p = 2*v + 4, -6 = k*p + v. Which is the nearest to -1? (a) 2\/5 (b) p (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -4 + 1 - m**2 + m**3 + 4. Let q be x(-1). Let r(o) = -15*o**2 + 59*o - 4. Let s(d) = 10*d**2 - 42*d + 3. Let z(b) = -5*r(b) - 7*s(b). What is z(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*b**4 - 6*b**4 - 7*b**4 + 13*b**3)*(-28 + 13 - 18).\nAnswer: -66*b**4 - 429*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 2*m = -12. Suppose -m*b + 1 = -4*b. Let f(j) = 2*j**3 + 1. Calculate f(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15*l**2. Let w(u) = 0 - 6 + 6 + u. Calculate w(p(f)).\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 12:14 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 7*f**4\/4 + 2*f**3 + 3*f**2 + 2. Suppose -5*a + a + 12 = 0. Let d(b) = -b - 3*b**3 - b**2 + b**3 + b**a. Give -6*d(l) - t(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -32, -71, -124, -191, -272, -367?\n\"Answer: -7*v**2 - 4*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.33 - -0.63. Which is the closest to 10? (a) -0.4 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.23629 decades in months?\nAnswer: 9988.3548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28562 is divided by 9164.\nAnswer: 1070","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n**2 - 2*n**2 + 2*n**2. Suppose -9 = -4*y + 7. Let t(b) = -11 + 4 - y*b + 7. Calculate t(l(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 + 32. Let r be (-4536012)\/(-30) + (-2)\/s. Suppose 0 = -11*k + 4*k - r. Round k to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**5\/190 + 111*d**4\/38 - 8957*d**3\/19 - 142805*d**2\/19 + 1148*d. Factor r(x).\nAnswer: -2*(x - 169)**2*(x + 5)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -27 + 63. Which is smaller: 8 or j?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {y: 13, h: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/2039?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14 (b) -50.1 (c) -0.1 (d) 1\/2 (e) 2 (f) 0 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/sqrt(2))**2*3 - ((-1*sqrt(171) + sqrt(171))\/sqrt(9))**2 - -2*((sqrt(2299)*4)**2 + 5).\nAnswer: 73635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1372091d + 2?\nAnswer: 13720921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3025*h + 1298*h + 6994*h + 4464*h + 2669*h as p + t*h and give t.\nAnswer: 12400","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 41?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -98 + 64 - (73 + -16)\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107974646 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of -s**8\/112 + s**7\/35 - s**5\/10 + s**4\/8 - 69*s**2. Find o, given that x(o) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -27, -60, -93, -126, -159, -192?\n\"Answer: -33*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1285 + -3891. Let l = -20266874717\/7797576 - 1\/1949394. Let a = l - m. Calculate the common denominator of 27\/10 and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**5 + 44*a**4 - 282*a**3 + 656*a**2 - 416*a = 0. What is a?\nAnswer: 0, 1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 13. Let g = 126 + -191. Let r = -39 - g. Solve 6*s - 3*s - 6 = 0, 0 = z*q + 5*s - r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 792 = 5*d - 9*d. Let v = 202 + d. Let x = 0.99 - -0.01. Which is the nearest to v? (a) x (b) -2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1963391127.\nAnswer: 3, 654463709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/35*(-42)\/48\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 44295, 88505, 132611, 176613?\n\"Answer: -52*g**2 + 44366*g - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*r - 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/26?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w - 4 = -35*w. Let k(y) = 4*y**3 - 6*y + 6. Let j(u) = -u + 1. Determine w*k(s) - 6*j(s).\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4788 and 498484?\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 10*b - 3784 = 0. Suppose -b*x + 162*x = -350. Solve x*o - 39*o - 4 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2117 + -2114. Which is bigger: -12 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/3)\/3)\/((-3)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -13*x + 8. Let h(v) = -52*v + 31. Let y(n) = -2*h(n) + 9*z(n). What is the derivative of y(c) wrt c?\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -8, -1, -3, 5, 128, -10 in ascending order.\nAnswer: -10, -8, -3, -1, 0, 5, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6783 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 29808 divided by -24\nAnswer: -1242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 + 3102*a**2 - 3100*a.\nAnswer: -2*a*(a - 1550)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207759 is divided by 392?\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 273*f**3 - 1490*f**2*r**2 + 2*f*r - 47290842*r**2 with respect to f.\nAnswer: 819*f**2 - 2980*f*r**2 + 2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -699, 3, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**4 + n**4 - n**4 + (7*n**3 + 8*n**2 - 8*n**2)*(2*n - n + n).\nAnswer: 13*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16120.\nAnswer: 2, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 19*f + 4214. Let o = f + 842. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**3)**10)**(-31))**(-12\/13) assuming i is positive.\nAnswer: i**(11160\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - -45b97?\nAnswer: 45ba9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 7*b - 2*b. Is 6 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 - -84. Let i = -54 - -78. Let o = 1449 - 1419. Solve 0*h + h + i = -c*q, -5*h = 2*q + o for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 283935 is divided by 158?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/330 and 71\/10.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 15, -a = k + k + 5. Solve -31*f - 77 - 47 = k for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114) + -5*(sqrt(114) + -2*sqrt(114)) - 1*(sqrt(114) - (sqrt(114) - -1*sqrt(114)) - sqrt(114)))\/((sqrt(330)\/(sqrt(11)*1))\/(sqrt(25)\/(sqrt(5)*2))).\nAnswer: 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7 + 9 - 4 + x. Let n be z(9). Suppose -2*f + n - 5 = 0. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) 4153 (c) -1\/46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -122110101210020 (base 3) in base 7?\nAnswer: -141603120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1774.59002?\nAnswer: 1774.59002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/2)\/(o\/(o*o**(-11)*o)))\/(o*o**(-8)*o*o**5))**(-16\/5) assuming o is positive.\nAnswer: o**(136\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 12*z. Suppose 3*w = -g - 11, 4*g - 34 + 3 = 3*w. Suppose -g*f = 3*i - 15, -2*f - 10 = -5*i + 3*i. Suppose -4 = i*q - r + 2, -14 = q + 3*r. Give p(q).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.556149 to two decimal places.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*x + 810 = -22*x + 93*x + 199 for x.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - 3*q**2 - q**4)*(-2*q + 4 - 4 - 2*q - 2 + 2 + (3 - 3 - q)*(-1 + 1 + 2) + 8*q - 54*q - 16*q).\nAnswer: 68*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - 3*r**2 + 17*r - 38. Let x be y(3). Suppose 3*o - l + x = -o, 0 = o + 3*l. Put o, 4, 9 in increasing order.\nAnswer: o, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 11*b**2 + 1 + 9 - 10. Let k(u) = 2*u. Determine h(k(c)).\nAnswer: 44*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 1:12 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = b - 374, -143 = -27*k + 26*k - 4*b. Calculate the remainder when k is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 662851300, 1325702600, 1988553900, 2651405200, 3314256500?\nAnswer: 3977107800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 6*x + 2*x)*(-16 - 19 + 6).\nAnswer: 58*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 12. Let x be i(-6). Let j = -2 + x. Put j, 1, -3 in increasing order.\nAnswer: -3, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 305183650 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 + 484*s**2 - 481*s - 2940. Determine t(241).\nAnswer: -2699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + (sqrt(1700) - -6*-1*sqrt(1700)).\nAnswer: -50*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(180)\/sqrt(81))\/(sqrt(90)*2)*-2.\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.784 + -0.216. Let j = -57\/35 + 6\/5. Which is the third smallest value? (a) j (b) r (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10224111 (base 8) in base 14?\nAnswer: -407ca5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 5*r**2 - 6*r + 4. Let o(p) = -p**2 + 48*p - 182. Let m be o(44). Determine f(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 1\/4*l**3 + 0*l + 6 - 1\/16*l**4 - 1\/4*l**2. Factor w(j).\nAnswer: -j*(j - 2)*(j - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*z + 7*z. Let s(h) = h**2 + 3*h - 7. Let t be s(-5). What is the second derivative of 30*k**3 - 30*k**t + z*k - k**4 wrt k?\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 4*r**2 + 3*r**2)*(-35*r**2 - 1081*r**2 - 2397*r**2 - 1 + 1).\nAnswer: -10539*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -8. Suppose -3*r + 42 = m, p*r - m - 18 = 10. What is the lowest common multiple of r and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - -8. What is the first derivative of -39 - 47 + 77 - m*d wrt d?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1135 and 0.157?\nAnswer: 178.195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 15109.33ml?\nAnswer: 15.10933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45 - 42. Which is the closest to -1? (a) v (b) 0 (c) 5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/8*0*1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - -1102?\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6810841 - -1 - (-4 + 3))\/(-10 - -9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 26 = -3*o, -6*r - o - 85 = -113 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6505*m*s**2 + 4862*s**2 wrt m?\nAnswer: -6505*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 25 = -5*s, -2 = 2*s + 4. Solve f*y - 2*c + 13 = -3, -2*y - 14 = 3*c for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*((sqrt(5) - (sqrt(5) + sqrt(10)\/(2*sqrt(2)))) + -4) + -5 + ((sqrt(80)*1 + 0)**2 - sqrt(80) - sqrt(80) - sqrt(80)) + 1.\nAnswer: -13*sqrt(5) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/13)\/c)\/c)**(-12)*c**(-3\/13)\/(c*c*c**8) assuming c is positive.\nAnswer: c**(167\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of -3*h**5\/5 + 25*h**4\/12 - 22*h. What is the third derivative of f(j) wrt j?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25\/4 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, e: 1, v: 2}. Give prob of sequence dv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 2149677.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -598971, -1197953, -1796943, -2395941, -2994947?\nAnswer: -3593961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 87411 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-18)*2\/(-8)*-18 - -1. Solve -w = 2*u + y*w - 2, 3*u - 5*w = -22 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 2\/5, 2\/11065, -68, 0.05?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 1\/2, -0.06, 2, 1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 6:34 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + -13 + (8 - 2) + 9?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 23*s - 43. Let i be k(-8). Let v(q) = -i + 2 + q**2 + 5 - 10*q + 1 - 3. Determine v(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-35)\/15*12\/(-14)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4 = -0*k + 2*k, d - 3*k + 2 = 0. Suppose -5*s = -d*s - 6. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -995c (base 14) to base 5.\nAnswer: -1322132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1567785 and 1215721?\nAnswer: 346480485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*j + 42 = 29*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z - 3. Does 14 divide (19*(-3)\/3)\/z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2. Let t(f) = 51*f**2 - f. Determine t(v(c)).\nAnswer: 816*c**4 - 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of 5\/6*i**4 + 3*i**2 - i + 0 + 1\/10*i**5 + 7\/3*i**3. Factor m(g).\nAnswer: 2*(g + 1)**2*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1946, -1202, 46, 1804, 4078, 6874, 10198?\n\"Answer: y**3 + 246*y**2 - y - 2192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32768 - 32768. Factor 6\/5*u**3 + k + 21\/5*u**4 + 0*u + 0*u**2.\nAnswer: 3*u**3*(7*u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -z**5\/110 - 633*z**4\/11 - 1202067*z**3\/11 + 16*z - 202. Factor n(m).\nAnswer: -2*m*(m + 1899)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crrcrcrrrccrr. Give prob of picking 1 c and 2 r.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3255077 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -37*h**6\/15 + h**3\/3 - 5*h**2\/2 + 12*h. What is the second derivative of z(j) wrt j?\nAnswer: -888*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136892389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28037.39 and 0.1?\nAnswer: 2803.739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13*174\/(-78) - 61\/1?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1758.6104 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -847339089, -1694678176, -2542017263, -3389356350?\n\"Answer: -847339087*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -4*l**3\/3 - 4*l**2 + 60*l + 153. Factor n(g).\nAnswer: -4*(g - 3)*(g + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -79246312 (b) 0.4 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/175 (b) 293 (c) -4 (d) 2\/3 (e) 5 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 1\/5 (c) -13586 (d) 2\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1127*p - 801. Let n(w) = 2*w - 4. Let o(t) = 10*n(t) + 2*r(t). What is the derivative of o(c) wrt c?\nAnswer: -2234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-26128)\/(-11730))\/(2\/(-9)) - -10?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14254263033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6369, 6357, 6345?\nAnswer: 6333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of 12*j + 0 + 0*j**2 + 5\/24*j**4 - 2\/3*j**3 + 0*j**5 - 1\/72*j**6. Let w(v) be the second derivative of f(v). Solve w(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -9.422, 1, 3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**5 - 4135*n**4 - 8290*n**3 - 10*n**2 + 8285*n + 4145.\nAnswer: 5*(n - 829)*(n - 1)*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 16) to base 15.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 10:45 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -679*z + 674*z - 7 = -v, 5*z - 3*v - 9 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = p + 41. Let c = p - 45. Let n(f) = -f**3 - 6*f**2 + 2*f - 5. Calculate the remainder when n(c) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(85))\/sqrt(5) + (-3*sqrt(68))\/sqrt(4) - ((4 + -1 + sqrt(17) + 4 + sqrt(17) + 1)*1)**2.\nAnswer: -132 - 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*-1)**2 - sqrt(7))*-6 - (sqrt(84)\/sqrt(48))**2.\nAnswer: -175\/4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -43, -12, 169.\nAnswer: -43, -12, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 98, 273, 558, 953, 1458, 2073, 2798?\nAnswer: 3633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/621483 and -109\/6.\nAnswer: 1242966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/(-6))\/(((-2)\/90)\/(4509\/135 + -33)).\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1606)\/39420*-90*(-2)\/2.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-1\/8)*j**(-12))**(-18) assuming j is positive.\nAnswer: j**(729\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 134?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 386231 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*j + 5. Let k = 10 - j. Solve 0*n - 2*n - 26 = -k*o, 4*n + 5*o = 13 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*j - 592*j + 1586*j in the form c*j + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**2 + 3*q**2 - 4*q**2 + (q + 2*q - 4*q)*(-q - q + q) + (-1 + 2 - 2)*(0*q**2 + 2*q**2 - q**2) + (-q + q - 2*q)*(80 - 30*q - 80).\nAnswer: 64*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-15) + (-8)\/(-5). Suppose 3*r = g + 11, -4 = 5*r + 3*g + 1. Is t less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 f, and 1 i when three letters picked without replacement from iffigiiffi?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 3. Let m = -153694 + 153695. Which is the nearest to w? (a) -10 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11440 divided by -143\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 0 - 1\/2*h**2 + 14*h - 1\/2*h**3. Give t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-1 - 3 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by -42006?\nAnswer: 4\/7001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.22 + 0.08. Let j = -26.4 - -27. Let i = j - -1.4. Which is the second smallest value? (a) 0.4 (b) u (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 4*t - 1. Let m be h(3). Let a = -0.24 + -0.06. Let u = 37631 + -37635. What is the nearest to -0.06 in u, m, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -478.6 - -10.333?\nAnswer: -468.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 91 - 64. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -206682.6 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from ppwpphwpphpw?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 2402.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-2)*4\/(-9)*(-6795)\/2265?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2963 is divided by 275?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1425 = -3*h + 4*j - 1345, 0 = 5*h + 2*j + 40 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-6))\/(u\/u**(2\/9)*u))\/(u**(-6)\/u**(-5)) assuming u is positive.\nAnswer: u**(56\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 565 + 611 = 3*g. Let b = 394 - g. Solve 3*f = -4*v - 8 - b, 4*f = 2*v - 6 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.126925 and 22.\nAnswer: -24.79235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5371222 to the nearest 10000.\nAnswer: 5370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4848 divided by 4.\nAnswer: 1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*o - 3*w + 3192, 2*w - 8 = 0. Is (-4)\/10 + o\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 5*g**2\/2 - 51*g - 2700. Give i(7).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, d: 2, g: 1, v: 7, z: 1}. Give prob of sequence zvd.\nAnswer: 7\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -49181200 rounded to the nearest 1000000?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145 - -147. Suppose -3*z - 7 - h = 0. Let g(t) = -3*t**3 + 3*t**2 + 3*t + 3. Let d(a) = -6*a**3 + 7*a**2 + 7*a + 7. Determine z*d(w) + 7*g(w).\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**2 - 10*t + 23. Let z be k(7). Suppose -8*u + z*u + 1008 = 0. Is 17 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-21) - 108\/(-21). Let z(j) be the second derivative of -j**5\/20 + 7*j**4\/12 - 4*j**3\/3 + 3*j**2\/2 - j. List the prime factors of z(a).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) + -1*sqrt(1900) + -1 + sqrt(1900) - sqrt(1900))**2 - (sqrt(931) + (sqrt(931) + (sqrt(931) - (sqrt(931) + -1)))*4).\nAnswer: -35*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + 2 - (8 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322 = 2*z - 332, -2*i + z = 9 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3*a = 1551, a = -5*g + 1319 + 1290. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.077138874*3.\nAnswer: -0.231416622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -233, 312, 2479, 7078, 14919, 26812?\nAnswer: 43567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -22773 and -380445758.\nAnswer: -380468531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95183?\nAnswer: 11, 17, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 539\/(-294) + ((-46630)\/(-1620) - 27)\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -6748 (c) -27 (d) 0 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -1, -2, 0.448, -5.\nAnswer: -5, -2, -1, 0.448, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 - 26 + 22)*(5 - 5 + 1)*((-6574 - 156*q + 6574)*(-2 + 0 + 1) - 2 - 2*q + 2) + (-1 + 0 + 0)*(-q + q - q) to b*q + h and give b.\nAnswer: -2001","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -9*z + 18*z + 7*z**2 - 10*z**2 - 9*z**3 + 4 - 14*z + 0*z**2. Let l(p) = 22*p**3 + 8*p**2 + 12*p - 10. Give -5*l(u) - 12*w(u).\nAnswer: -2*u**3 - 4*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -55*u**2 - 11*u - 256. Let k be j(9). Let h = 30163 - 44973. Let a = h - k. What is a rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5.2, -2, 0.5, -2\/29?\nAnswer: 5.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*q + 4*i = 68, -18*q + 8*i = -19*q + 5*i + 19 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2643*g**2*l**3*x - 2*g**2*l**2 + 3*g**2*x + 8*g*l**2 + l**2*x wrt l.\nAnswer: -15858*g**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -2*u + 12. Let p(z) = 2*z + 5. Let t be p(0). Let q be f(t). Suppose 0 = -q*m + 3*r - 6, -2*m + 4*r = -6*m + 28. Solve 0 = -5*x + m*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13506950?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 473628 and 696.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14.072 + -14. Let g = -31.959 - -32. Let r = w - g. What is r rounded to 2 dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 521037771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2821, -2818, -2809, -2788, -2749, -2686, -2593, -2464?\n\"Answer: j**3 - 3*j**2 + 5*j - 2824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*p**3 - 6541277*p + 90209706?\nAnswer: -9*p**2 - 6541277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c - 5 = 0. Let q = c + -2. Suppose k + 254 = q*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 35*l + 462 = 0. Solve -24 = -l*u + 5*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((3\/(-1))\/3))\/((-52)\/260)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 607542 to the power of 1\/3, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 1566236?\nAnswer: -1566231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 224*z + 188*z - 11*z + 136*z.\nAnswer: 537*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 4 = 3*w, -2*w - w + 9 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -18*z**2 + 10*z. Let m(l) = 6*l**2 - 3*l. Let h(v) = v**3 + 28*v**2 - 61*v - 10. Let y be h(-30). Give y*m(q) + 6*o(q).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9 + 175\/(-20) + (-820604)\/(-16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**2 + 2*j + 134. Let g(w) = 6*w**2 - 4*w - 269. What is -9*f(u) - 4*g(u)?\nAnswer: 3*u**2 - 2*u - 130","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -3*c**5\/20 + 41*c**4\/3 + 57*c**2\/2 - 555*c. Differentiate i(k) wrt k.\nAnswer: -9*k**2 + 328*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37924 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: What are the prime factors of 239383?\nAnswer: 239383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-18) - (-2 - (-1208)\/(-72)). Find the second derivative of -8*k + 17*k + s*k - 2*k - 33*k**4 wrt k.\nAnswer: -396*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 130 = -5*v, 0 = 4*v + 5*q - 10*q - 141. Let f(o) = -25*o - 1. Let w be f(-2). Let i = w - v. Round i to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -594 + 2?\nAnswer: -592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(17 + 6 + 482)*(m + 1 - 1).\nAnswer: -1010*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 154*a - 169*a - 53*a - 1904 for a.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 255*h**5*w**3 + 2*h**5 - 5*h**2*w**3 - 7*h**2*w**2 wrt h?\nAnswer: 15300*h**2*w**3 + 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 294165480.\nAnswer: 2, 3, 5, 7, 47, 7451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -4*r + 3*s - 30, -r - 5*s = 72. Suppose 338\/5*c**r - 136*c**4 + 40*c**5 + 408\/5*c**2 + 0 + 72\/5*c = 0. Calculate c.\nAnswer: -3\/10, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1281 - -8373?\nAnswer: 8371.8719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**3 - 5*r**3 + r**3)*(-2*r - 3*r + 3*r) - 287*r**3 + 38*r**4 + 287*r**3 + (-42 + 42 + 4*r)*(2*r**2 - 2*r**3 - 2*r**2).\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 22 = 4*m. Let w(c) = -c + 4. Let k be w(m). Let f = -5794 - -5811. What is the nearest to -2\/5 in -2, k, f?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -6*b + 4*b. Let a(x) = 10*x**b - 633*x + 1269*x - 636*x. Let m(v) = 7*v. Let i(h) = -3*h. Let k(y) = -9*i(y) - 4*m(y). Determine k(a(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -412 - -402.52. Let g = m + 1.78. What is g rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41136941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/78 + (-523)\/(-3). Let h = 844 - q. What is the highest common factor of 67 and h?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3885 * 1.\nAnswer: -0.3885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.016031l to millilitres.\nAnswer: 5016.031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-320)\/22 + 14 - (-152)\/198. Which is greater: n or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 - 101. Let d = -83 + v. Let j = 149 - d. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22730 (base 15) in base 10?\nAnswer: 109620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/10)\/(156\/(-416))*(-3)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93950, 187907, 281866, 375827, 469790, 563755, 657722?\nAnswer: 751691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l - 32*l - 27*l.\nAnswer: -29*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 162 + -114. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyymmgmmmmmgy. What is prob of picking 1 m and 2 g?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 91, 144, 197, 250, 303?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 683 and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -358 - -244. Let r = -67 - f. Calculate the remainder when r is divided by 86\/4 - (0 + 7\/(-2)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*t)*(2 - 1 + 1 + (2 - 2 + 1)*(4 - 9 - 8)*(-4 - 1 + 6)).\nAnswer: 22*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 315 divided by 105\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10354 - -10350. Which is the fourth smallest value? (a) -1484 (b) m (c) -1\/10 (d) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.059 - 0.059. What is the fourth smallest value in -1\/3, 3, 12, j?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -209*z + 753*z - 1295*z.\nAnswer: -751*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*b + 1881 - 1481 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -4*y**2 - 87860*y + 966944 = 0.\nAnswer: -21976, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4414598 is divided by 200?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/((-1)\/(-1 - 0)). Suppose 155 = -9*n + 155. Let x(r) = -2*r**3 - 2*r**2 + 4*r + 5. Let l be x(-2). Sort l, n, c in decreasing order.\nAnswer: l, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the first derivative of -5*a**2 + 48*a**3 - 78*a - 51 + 61*a + 2*a**2. Find the second derivative of b(x) wrt x.\nAnswer: 288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-38761.852\nAnswer: -15504.7408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.82 + 0.02. Let b = 2 + j. Let l = 0.1 + 0.4. What is the nearest to -1 in l, -1\/3, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503097150?\nAnswer: 2, 3, 5, 17, 197293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -148 - -148. Suppose 0 = -5*o + 5 + 20. Which is the second smallest value? (a) o (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u - 5. Suppose -4*o = -4*n, -2*o + 30 = -6*o - 2*n. Let x(d) = d + 8. Let p be (6 - (-1 + 4)) + 4. Let m be (-5 - 3)*p\/7. Calculate m*r(j) + o*x(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = 4*w. Suppose 3*o + 80 - 305 = w. Calculate the highest common divisor of 15 and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 + 7*z**2 - 5*z - 9. Let y = -20 + 23. Suppose 3*m - 7 = 3*j + 8, -y*m = -5*j - 15. Let t be a(m). Solve 3*p = k, 0*p = -5*k - p + t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -304592 divided by 66\nAnswer: -152296\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 317.12909 + -317.243188558. Let l = y + 0.1141. What is l rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -0.29 (c) -18\/7 (d) 2\/75 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90)*1)\/sqrt(5)*-4)\/(-3*(sqrt(225) - sqrt(9)) + (sqrt(324)\/sqrt(4) - sqrt(9))).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -130 divided by -33?\nAnswer: 130\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 1, j: 1, m: 1, n: 1}. What is prob of sequence jx?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {c: 2, u: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 x, and 2 i when four letters picked without replacement from {b: 7, o: 1, i: 3, x: 3}.\nAnswer: 9\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s + 2*s - 3 + 5 - 1. Let b(m) = -96*m - 15. Let c(u) = -2*b(u) - 33*x(u). Let g be c(-2). Solve g = -2*f + 2*y + 1, 4*f = 2*y - 14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2076965*b**4 + 3127*b**2 - 217*b.\nAnswer: -49847160*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.5077 to one dp.\nAnswer: 27.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1*-686\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4463596, 4463598, 4463598, 4463596?\nAnswer: 4463592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -38\/89 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/129 in -4, -1\/10, 15, -2\/19?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 136826 * -11.\nAnswer: -1505086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 379 - 214. Does 18 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/(-1))\/(-10 + 11). Suppose -4*f - g*b + 140 = 0, -6*b + 2*b = f - 42. Is 17 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.191 or -1.558?\nAnswer: 0.191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, -11623, -10, -4, 7, 3 in ascending order.\nAnswer: -11623, -10, -5, -4, 1, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*o - 427*o + 468 = 0 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -30147, -30153, -30159, -30165?\n\"Answer: -6*l - 30141","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 81181.9 to the nearest 100.\nAnswer: 81200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -4) + 3 - 3. Suppose 2*b - 6 = -2*p - b, -4*p - g*b = -12. Solve 10 = p*y + y + 3*j, 30 = 5*y - 5*j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*z + k, -5*k = 2*z + z. Let r = 21 - 5. Solve z*i = i - r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -c + 2350, -2*c + 1302 = 3*n - 3423. Calculate the smallest common multiple of 120 and c.\nAnswer: 18840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**4\/4 - 4*v**2 + 8*v. Let j(l) = 25*l**2. Determine j(q(a)).\nAnswer: 900*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*z**3 + 4*z**3 + 2*z**3 + z**3 - 3*z**3 + 0*z**3 + (3*z - 4*z + 0*z)*(3*z**2 - 4*z**2 + 3*z**2) + (1 + 2 - 2)*(0 - 2*z**3 + 0).\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 (base 2) in base 16?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 - 15*q**2 - 8*q - 64. What is the smallest common multiple of v(-16) and 16?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -588*t = -61*t + 8535 - 26453 for t.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + -7 - (43 - 62).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 7. What is the highest common factor of c and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/8*-3*(-2)\/(-18)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4628 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 t(d) = 15*d - 238. Let b(z) = -27*z + 476. What is 4*b(l) + 7*t(l)?\nAnswer: -3*l + 238","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-54)\/(-63))\/(-3 - 138\/(-42)). Which is the second smallest value? (a) y (b) -5 (c) 181\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(2\/(-8)) + 1. Suppose -5*n = -q, -4*n + 24 = 2*h - 0*h. Let b(t) = t**3 - 10*t**2 + 3*t - 9. Is 8 a factor of b(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 3*m + 28. Let z = 90 + -33. Let i = z - m. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96506.4 nanograms to milligrams.\nAnswer: 0.0965064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -27929994*z + 30. Let q be l(-5). Suppose 977*i = 970*i + q. What is i rounded to the nearest 1000000?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (3 + (-27)\/6)*(13 + -12)*-422 is divided by 48.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-26)\/(-52))\/((-2)\/(-32)). Suppose 2*h + 2*h = 0. Suppose h*i - i + 354 = 4*a, 0 = -5*a - 3*i + 446. Calculate the greatest common divisor of x and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -40593.\nAnswer: 2\/5799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 + 2392*o + 357604.\nAnswer: 4*(o + 299)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15591?\nAnswer: 3, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -167*n + 12306. Let g(m) = 74*m - 6153. Let t(v) = -9*g(v) - 4*u(v). Let p(b) = b. Calculate t(p(o)).\nAnswer: 2*o + 6153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (6 + (1 - 4) + 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*z = 2*z - 50 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18.94 - 19. Let d = i - 0.02. Does d = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**2*r*(r\/(r*r**(-1\/7)*r))\/r*r*r**1\/(r**(-5)*r))**30 assuming r is positive.\nAnswer: r**(1710\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 3*u. Let t(z) = 4*z**2. Suppose 2*l - 24 = 5*r, -4*r - 2*l - 14 = 16. Let d(b) = -b**2. Let c(a) = r*t(a) - 26*d(a). Determine o(c(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 825 and 150?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*s + 62*s - 19*s.\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 812*y**2 - 13*y + 13. Let w(j) = 203*j**2 - 3*j + 3. Let a(r) = -2*u(r) + 9*w(r). Let x be a(1). Let d = 494 - x. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (30\/(-12))\/(-5) - (-489)\/6 is divided by 68.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = w + 3*l + 18, -5*w - 5*l = 30. Is w - -4 - 45*-2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b**4*b))\/b*b*b**17)**(-5\/4) assuming b is positive.\nAnswer: b**(-65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**3 + k**2 + k - 1. What is l(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -920, -1829, -2738, -3647?\nAnswer: -4556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**5\/10 - h**4\/3 + 3*h**2 - h. Suppose -160*p + 515 = -57*p. Let s(b) = 2*b**3 + 5*b**2 - 7. Calculate p*y(u) + 4*s(u).\nAnswer: -2*u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**3 + 7*h**2 - 2*h - 2. Let s be n(-6). Let t be -147*(-1 + 3 + -1). Let l = t - s. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 10*w - 5*w)*(-4*w**2 + 5*w**2 + 2*w**2).\nAnswer: -33*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d - 6. Let f(r) = 27 - 23 + 14*r + 9 + 5. Determine -3*f(b) - 8*i(b).\nAnswer: -2*b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -243 (b) 0.27 (c) 2\/9 (d) -1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 5 - 2)*(0*p - 2*p + 4*p) + 0*p + 7*p - p)*(10*p - 8*p - 20*p) to a*p**2 + l + x*p and give a.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 - 2*h**2 - 16*h**2 + (-4 - 3 + 4)*(2 - h**2 - 2) - 4 + 4 - h**2 + h - h - h**2 in the form z*h**2 + w*h + d and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*h - 9 = 1. Suppose 0 = 3*o - 6*o + 6. Solve -11 = o*s - h for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 3:12 AM?\nAnswer: 2:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.64861 rounded to 2 decimal places?\nAnswer: -5.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77238352 - 5?\nAnswer: -77238357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5083?\nAnswer: 13, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3918 + 6244. What are the prime factors of v?\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6798*x + 165*x**2 + 6798*x - 2*x**2 + 3*x**2 - 3*x**2 + (-x - x + x)*(-2 + 2 - 2*x) + 1 - 1 + 3*x**2.\nAnswer: 168*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000482009 rounded to 7 decimal places?\nAnswer: 0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 + 5*n**2 + n - 6. What is o(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*w - 17 + 17)*(26*w**2 - 8*w**2 + 6*w**2) + 4 - 4 - 3*w**3 to the form t + j*w**2 + a*w + u*w**3 and give u.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9929 a factor of 1708651823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -87 (base 11) to base 4\nAnswer: -1133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19926 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 206 at most 316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, r: 1, s: 7, x: 4, k: 3}. Give prob of picking 3 k and 1 x.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 206405361 to the nearest integer?\nAnswer: 591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000747 to seven decimal places.\nAnswer: -0.0000075","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 - (-39)\/182. Let f(s) = 2*s**3 + 44*s**2 + 36*s - 123. Let n be f(-21). Find d, given that l*d**n + 0 + d - 3\/2*d**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04218301 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 19 * 0.2\nAnswer: 3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 7975419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 108*t**2 + 100*t - 959. What is d(-109)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 17 + 2*(-5)\/((-5)\/(-2)). Suppose -6*g + 11 = -x. Suppose g*b + 1118 = 17*b. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 11:39 AM?\nAnswer: 12:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 306289 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*p + 621 = -5345 - 5713 for p.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-830)\/(-15) - (-4)\/6. Let b = 2 - -3. Suppose 0*u - u - 3 = 2*k, -4*u - b*k = -3. What is the highest common divisor of u and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2. Let c(o) be the first derivative of -119*o**2 + 412. Give c(b(j)).\nAnswer: 238*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 1\/2 (c) 2\/7 (d) -5 (e) -7216873 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q = 16*q - 25. Solve q*x = x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.6 times 2965549\nAnswer: 4744878.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-150)*12\/(-5)*5*(-4)\/(-264)?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + -4. Let x be (((-294)\/343)\/(144\/(-28)))\/(4\/6). Which is the closest to -0.1? (a) w (b) x (c) 1\/16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)\/sqrt(144) + sqrt(304)*2)**2 + sqrt(38)\/(sqrt(16)\/sqrt(8))*5.\nAnswer: 5*sqrt(19) + 20691\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0400193449 to 4 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2550?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (3 + (-3 - -2) + 6)) + 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887486703 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**4 + 1280*g**3\/3 + 5780*g**2\/3 + 2320*g + 816 = 0 for g.\nAnswer: -102, -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 5*w - 5 = 0, 3*t - 5*t - 4*w = 10. Let x = -2 - t. Let u be (1 + -1)\/x - -5. Solve -u*b = -4*b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 5, p: 13}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6437254?\nAnswer: 2, 17, 59, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -9) + 2 - -8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 2*p**3 - p**2\/2 + 3*p + 27. Differentiate l(c) with respect to c.\nAnswer: 12*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/1881 at most as big as -0.058?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18*15*13\/1170.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -343 - -341.49. Let d = 4.51 + r. Do d and -0.02 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.76317662 - 85999?\nAnswer: -85998.23682338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302059 is divided by 110?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 45*g**2 + 411*g - 43. Determine l(-7).\nAnswer: -715","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*t - 34*t + 32*t + 12*t - 34*t**2 + 8*t.\nAnswer: -34*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**3 - 6*n**3 - n**3)*(5*n**2 - 4*n**2 + n**2).\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1989?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*o - 8 = 43*o. Let l(k) = -k**2 + 9*k + 1. Let a be l(o). Does 12 divide (6\/5)\/(a\/120)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1018 - -1018. Solve -3*j + 6 = 3*c - j, 3*c - j + 3 = y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 + 47*z**2 + 58*z + 27. What is r(24)?\nAnswer: 843","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 61064027?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -46 (base 10) to base 15\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 32 = 5*f + 7, -3*v - 3*f = -15. Let l(k) be the third derivative of v + 0*k + 1\/21*k**3 - 1\/210*k**5 + 0*k**4 - 2*k**2. Factor l(u).\nAnswer: -2*(u - 1)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 49635779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23153, -46293, -69433?\nAnswer: -92573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3*i - 78, -4*i + 5*i = -b + 32. Let n(f) = -10 + b + f - 16 - 18. Let k be n(17). Let q(l) = l**3. Let r(h) = -h**3. Determine k*q(o) + r(o).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*a = 392, -l - 21 - 63 = 2*a. Let z = -79 - l. Let u be (2 - 0)*(1 - 0). Sort 0, z, u in decreasing order.\nAnswer: u, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61998?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -9991105.\nAnswer: 3996442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30 + 30.2. Let q be (6\/2)\/((-77)\/14). Sort q, -1, a.\nAnswer: -1, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -2*x**5\/15 - x**4\/24 - x**3\/3 + 7*x**2 - 35. What is v(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3783 < 3781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17784.\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*t**5 + 30565*t**2 - 10364759*t wrt t.\nAnswer: -340*t**3 + 61130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 57*q**3 + q**2 - 13*q + 30. What are the prime factors of s(2)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 3242178?\nAnswer: 16210890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 12*n - 11. Suppose 0*k - 2*k = -6. Solve -k*z + 8 = -n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3671 + -3672. Which is the second smallest value? (a) 208 (b) s (c) 0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 7*a**3 - 7*a**2 + 7*a + 2. Is q(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 6*f + 25. Let r be (1\/7 - (-528)\/77)\/1. What is the remainder when 57 is divided by p(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1101 + 67b4?\nAnswer: 56b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.333791l?\nAnswer: 6333.791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(3328) - -3*3*sqrt(3328)))**2 + -3.\nAnswer: 2995197","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 163731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 11*r - 8. Let q be i(10). Suppose -2*g = -q*t - 2*t + 2, 2*t - 10 = -2*g. Calculate the lowest common multiple of 1 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1062 divided by 6.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {f: 3, x: 1, n: 2, p: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126 and 30114.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25104, -25110, -25116, -25122?\n\"Answer: -6*u - 25098","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 48 = 8*u - 3*i, 406*u - 409*u + 22*i = 23*i + 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 77975851 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -5*n**4\/2 + 65*n**3\/2 + 15*n**2\/2 - 205*n\/2 + 65 = 0.\nAnswer: -2, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 4*u + 8 = 9*r, 0 = -4*r - u + 13. Solve 2*k - r*k = 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 5*i**2 - 4*i - 2. Let a(o) = -o**2 + 1. Let s(h) = -6*a(h) - q(h). Let m(j) = 7588*j + 15170. Let l be m(-2). Give s(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17621, -35244, -52867, -70490, -88113, -105736?\nAnswer: -123359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -4768\nAnswer: -2384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -19674900 rounded to the nearest one hundred thousand?\nAnswer: -19700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2177033 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**5 - 3883884*p**3*v + 8*p**2*v - 7*p**2 - 9*p*v + 228*p - v wrt p?\nAnswer: 60*p**2 - 23303304*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 + -34. Calculate the remainder when 56 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -289*f - 88*f + 58812. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30226 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 68*r. Let o(c) = -9*c**2 + 2. Let p(a) = 40*a**2 - 9. Let x(j) = -9*o(j) - 2*p(j). What is g(x(q))?\nAnswer: 2*q**4 - 68*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9563.82 + -9564.219987. Let t = p + 0.4. What is t rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13102 is divided by 374.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-5)*925\/74.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 241 = -2*j - 2*v + 1649, -2*v - 1428 = -2*j. Let n = j - 362. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -71490 in 19, -2, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((2 - ((1 - 1) + 8)) + -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - k = 16. Let c(s) be the second derivative of -1\/6*s**3 + 0 + 0*s**k + 1\/10*s**5 + s + 0*s**2. What is the second derivative of c(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*r + 24 = -404*r + 774*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7 = -2*h. What is k in -2*k**3 + k**2 + k**4 + k**2 + h*k**4 - 8*k**3 = 0?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-26)\/65)\/((-3)\/(-60)). Let i(o) = -149*o + 129. Let t(u) = 99*u - 87. Let b(q) = d*t(q) - 5*i(q). Differentiate b(z) with respect to z.\nAnswer: -47","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17506873?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/45)\/(2\/12) - -3. Suppose -3*n = 2*x - 5*n - 184, 4*x - u*n = 368. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -21?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -63\/124 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-2*sqrt(85))\/((sqrt(60)\/sqrt(3))\/sqrt(4)) + (sqrt(1088)*-5 - (sqrt(17) + 4 + sqrt(17) + 0)**2).\nAnswer: -44*sqrt(17) - 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 1. Let l(x) = -x - 13. Let k(h) = -l(h) - z(h). Let y be k(-8). Let d(o) = o**2 - 2*o - 4. What is d(y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.18407 at most 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 3, -32656, 20 in decreasing order.\nAnswer: 20, 3, -6, -32656","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/40)\/((-4)\/10). Let l = -35 + 46. Let y(k) = 5*k - l*k**2 - 5*k - 1 + 2*k. Give y(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 14\/165?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/40 of a gram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -1, 7, 5\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (0 - -5) + (-1 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -10*j**3 - 6*j**2 + 8*j - 6. Let u be n(-5). Let h = 199 + u. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 7*f**2 + 6*f - 6. Let y be v(-8). Let q(n) = -n**2 + 8*n + 8. Let h be q(y). Is 11 a factor of (-124)\/h - (-2)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59 = -9*d - 14 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -11\/108*w**4 - 2\/315*w**7 + 1\/1512*w**8 + 2\/9*w**3 + 0*w**5 + 0 + 1\/54*w**6 + 0*w + 29*w**2. Solve l(d) = 0 for d.\nAnswer: -1, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.4 + -7. Let m = -4.6 - w. Let v = 10 + m. Sort -0.5, v, 2 in decreasing order.\nAnswer: v, 2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 6 = -0*s - 2*s, 0 = -g - 4*s. Let y be 2*(-2)\/12*3. Let w be 6 + (-3 - -3)*y\/(-2). Sort g, -2, w.\nAnswer: g, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128888.\nAnswer: 2, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**5 + 1902*a**4 + 2*a**2 - 14*a - 345?\nAnswer: -120*a**2 + 45648*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 2035*s**2 - 4 + 6 - 1.\nAnswer: 2035*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - p - 4*p = -9, -p = 3*t - 7. Suppose 0*w + 5*w = -15. Sort t, -5, w in descending order.\nAnswer: t, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one halves of a decade?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2754) - sqrt(2754)*2 - sqrt(2754))\/(sqrt(16)\/(sqrt(16)\/sqrt(2))) + -3*(-4 + sqrt(425) + -2))*1.\nAnswer: -33*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -2. Let f = -0.2 - o. Let g = -1.9 + 2. What is the nearest to -1\/4 in 0.4, g, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*f + 13. Let h(l) = -2*l**2 - 11*l - 35. Let s be h(0). Is (686\/s)\/(f\/15) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.37 - -0.07. Let b = -1\/14187 + 28381\/99309. What is the second smallest value in -0.2, i, -2, b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/((-112)\/(-8)))\/((-2)\/(-8))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43137 is divided by 92?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1088) + -2*(sqrt(1088) + sqrt(1088) + 0) + (sqrt(1088) + 1)*-6 + -3 + (sqrt(1088) - sqrt(1088)*-1)*-4)**2*-3.\nAnswer: -943596 - 8160*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 625302 (base 9) to base 4\nAnswer: 1122221222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**3\/l**(1\/14)*l\/l**(-5)*(l*l**(4\/7)\/l)\/l assuming l is positive.\nAnswer: l**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, v: 4}. Give prob of sequence vv.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 23*j**3\/6 + 2*j**2 - 10*j. Let d(u) = -u - 1. Let g(h) = 4*d(h) + s(h). Let m(x) = 2*x**2. Determine g(m(q)).\nAnswer: 38*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/75)\/((-44)\/(-11)) - 0\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -340*s**4 + 2*s**2 + 22*s + 3?\nAnswer: -4080*s**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*f + 22, 8*q - 3*q - 5*f = -60. Let v be (-13)\/q + 6\/9. Sort -2, v, 0.05 in decreasing order.\nAnswer: v, 0.05, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**3 - 15*j**2 + 120. Give a(-7).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(11\/6)\/l**(3\/8))\/(l**13\/l**29) assuming l is positive.\nAnswer: l**(419\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/2*2\/2 and ((-86)\/430)\/(4\/194).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 787.0266 centimeters in meters?\nAnswer: 7.870266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 839, 814, 775, 716, 631, 514?\n\"Answer: -y**3 - y**2 - 15*y + 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 11*a**2 - 1. Let j be o(-11). Is -1 != j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (150\/(-125))\/(2\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1476 - 1105. Solve 0 = 4*s - v + 399 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 633\/2 + -8325\/26. What is the common denominator of (-1414)\/(-147) + 2\/(-7) and c?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 4, -4.\nAnswer: -28, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes before 5:51 AM?\nAnswer: 12:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*p = 4*a - 645, 0 = 2*a + 4*p + 490 - 600 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 + 7*l - 26. Let n be j(-10). Solve -15 = n*v + 1 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -41*x**2 - 38*x + 108. Give i(3).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4\/39 (b) 1 (c) 6 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)*-3 + sqrt(136)\/(sqrt(16)\/sqrt(4)))\/(1*sqrt(200)*1).\nAnswer: -4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90983824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-35)\/10*(-40)\/14. Solve -3*t - 5*g = -2, -4*t + w = -0*t + 3*g for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 6 - 0, f = 3*i - 109. Let z = 90 - i. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n**3 - n**2 - 2*n - 2. Suppose 0 = -0*q - 2*q - 2. Let o be d(q). Solve 4*u - 4*c = c - 14, -4*u = -o*c + 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -243 divided by 1058386\nAnswer: -243\/1058386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 564 divided by -12.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((4*sqrt(52)*-2 + 0 + sqrt(52) + 5)**2 - (-6*1*sqrt(1872) - (3 + 1*sqrt(1872)))**2) + 1.\nAnswer: -89158 - 644*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.004, -4, 1\/2, -0.4, 0.176, -0.5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1527.4 - -728. Let g = s + 800. What is the closest to 0 in -4, -2, g, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d**2 + 2*d**2 - 7*d**2 to n*d**2 + m + v*d and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -69 + 104. Does 8 divide 3\/15 - (-1463)\/o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - q = -263, 6*q - 11*q = k - 111. What is the remainder when 341 is divided by k?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*1*sqrt(68) + sqrt(68) - sqrt(68))\/(sqrt(484)*-2)*-3.\nAnswer: -2 - 3*sqrt(17)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 less than or equal to 16\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + -8 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20225850 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2310 and 330.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1) + 9\/9. Solve c = 2*t + 8, 3*h + 2*t = 6*t + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/30 and 31\/36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177989373 is divided by 12032.\nAnswer: 12029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6254 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1384 is divided by 116?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 15. Let v be (2\/(4\/x))\/(-1). Suppose -99 = -4*l - v*t + 4*t, -4*t + 96 = 4*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -13*r + 25. Let j(z) = -28*z + 52. Let y(b) = 6*j(b) - 13*q(b). Let m be y(7). Sort 5, -7, m in increasing order.\nAnswer: -7, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - v**2 + v**2 + (-108 + 108 + 4*v)*(v + v - 5*v) as z + n*v**2 + l*v and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14d1b - eeb?\nAnswer: 13d20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -5\/7*u**4 + 6 - 5\/7*u**2 - 2\/7*u**5 - 1\/21*u**6 - 2\/7*u - 20\/21*u**3. Factor p(h).\nAnswer: -2*(h + 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -365 (base 8) to base 2\nAnswer: -11110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 16870\/(10 - 8\/1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/5 - 376182*x\/5 - 53377516\/5.\nAnswer: -2*(x + 142)*(x + 187949)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11912 - 11910. Factor 3\/5*s**x - 39\/5 + 36\/5*s.\nAnswer: 3*(s - 1)*(s + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.51 in 0.4, -2, -2\/13, -1\/4, -3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000413662 to 5 decimal places.\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 221957849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/21420 and 127\/70900200?\nAnswer: 70900200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/741*5244\/1656?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -522, -1103, -1754, -2487, -3314?\nAnswer: -4247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32.81466 litres?\nAnswer: 32814.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2701*y**3 + 3878*y**3 - 2.\nAnswer: 6579*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(300)*1*1 - 6*(-2 + sqrt(300)) - -6*(sqrt(300) + sqrt(300)*-2)**2*6)*5.\nAnswer: -1000*sqrt(3) + 216240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -42*j**3 + j**2 + 2*j + 2. Let g(p) = 167*p**3 - 6*p**2 - 9*p - 11. Determine 9*f(w) + 2*g(w).\nAnswer: -44*w**3 - 3*w**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 9 = d. Solve 2*m - 3*u - 3 + 4 = 0, 0 = -d*m + 3*u + 3 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 12 = 2*h, -h + 4 = -4*m - 2. Suppose 0 = -2*v + h*v. Which is the closest to -0.2? (a) -0.1 (b) v (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uxuuuuxuuuxu. What is prob of picking 2 x and 2 u?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 341055.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26802632 by 33.\nAnswer: -26802632\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -843770 < -843770?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, l: 14}. What is prob of picking 2 b?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + l - 8. Let b be y(0). Let v be (6\/b)\/((-2)\/8). Calculate the greatest common divisor of 24 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, p: 11}. Give prob of sequence mp.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7644119?\nAnswer: 7, 23, 79, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 1276 = -4*x - 5*z, 0 = 2*z. Let j = -151 + -1130. Let l = x + j. Round l to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 n, and 1 d when three letters picked without replacement from {c: 1, d: 2, l: 2, j: 2, n: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6288 (b) -0.0004 (c) 0.03 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**4 + 5*w**4 + w**4 + (w**2 - 3*w**2 + 4*w**2)*(3*w**2 + 2*w**2 - 3*w**2) + w**4 + 0*w**4 - 2*w**4 + (-14 - 23*w**4 + 14)*(-2 + 0 + 0).\nAnswer: 51*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/5 less than or equal to 13\/415?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 6*u - 6. Let x be i(-7). Let -4*q + 6 + q**2 + 1 - 2 - x = 0. What is q?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -588 - 716. Let r = o - -1303.4261. Round r to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83117?\nAnswer: 83117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 34515 - -2.076\nAnswer: 34517.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1952 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - (6 - 11)) + -5?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18*c*k**4 + 454*c*k**2 - 20367*c wrt k?\nAnswer: -72*c*k**3 + 908*c*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 26*p + 24. Let g(v) = 3*v + 22. Let a be g(-5). Let r be n(a). Suppose 0*m + 2*f + r = 3*m, -308 = -4*m - 4*f. Does 12 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -0*i - 5*v + 10, -i - 2*v + 4 = 0. Solve 6*k - k + 15 = i for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1198*x + 3413?\nAnswer: -1198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*p + 10 = -127*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 6:15 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 46970724 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 301568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 - 4*j + 1. Let z = -3 - 3. Let i be 1\/2 - z\/(-12). Let h be ((i - 0) + -5)\/1. Give l(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 1. Let f(g) = -2*g**2 - g - 9. Let s(t) = f(t) + 6*l(t). Let b(m) = -2*m**2 - 2*m - 4. Let i(k) = 3*b(k) - 4*s(k). Solve i(p) = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 12:39 PM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128 + 46 = 2*j. What is the remainder when j is divided by ((-52)\/(-16)*4 + 5)*2\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 3*p**4\/8 - 27*p**3\/2 + 54*p**2 + 1254*p + 2178 = 0.\nAnswer: -6, -2, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -11*r**2 - 10378*r + 51984. Calculate b(5).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - (0 + -2 - 2). Let o be (r - (-4)\/(-8))*0. Suppose -4*d - 8 = o, -2*y + 6*y - 5*d = 42. Calculate the remainder when 31 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -215*u**3 + 36*u**2 + 481*u - 9. Let w(o) = -4*o**2 + 1. Let r(m) = 2*s(m) + 18*w(m). What is the second derivative of r(j) wrt j?\nAnswer: -2580*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 38, -0.3, -84.9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 times -6860?\nAnswer: 391020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-53 + 46 - -126) + -64?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2917 - -2930. Let d(i) = -7*i. Calculate the remainder when d(-7) is divided by f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 - 3278*u - 33524892\/5.\nAnswer: -2*(u + 3933)*(u + 4262)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2995?\nAnswer: 5, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 508 + -503. Let i(l) = -10*l**3 + 5*l**2 - 5. Let k(s) = -5*s**3 + 2*s**2 - 2. What is y*k(q) - 2*i(q)?\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -13. What is the nearest to 1 in -3, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4*n**4 - 2739 + 1941 + n - 2845 - 1004 + 3*n + 32*n**2 wrt n?\nAnswer: 16*n**3 + 64*n + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from xxxxxxxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from {c: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 5:16 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2548 less than -5?\nAnswer: -2553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 230 * -50.\nAnswer: -11500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 233120 (base 4) to base 6\nAnswer: 22012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 + -69 + (1 - 2) + 1 + -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 815 (b) -1 (c) -238 (d) 3 (e) -5 (f) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 88\/(-9) + 10\/(-45). Let b(l) = -l + 7. Let x be b(-6). Let w = u + x. Does 2 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -38079, -76167, -114253, -152337, -190419, -228499, -266577?\nAnswer: -304653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 = a + 2*v, -5*a + 2*v + 843 + 239 = 0. Let o be a\/99 - 2\/11. Suppose 5*j = o*j. Solve 3*l + 12 = -j*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 7.4. Let i = 2.6 - l. Let u = 2653 - 2655. Sort -0.5, u, i in decreasing order.\nAnswer: i, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -447706*m**3*v**2 - 66*m**3*v + 44*m**2*v wrt v.\nAnswer: -895412*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t + 2999865. Let f(o) = -6*o. Determine i(f(v)).\nAnswer: -12*v + 2999865","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112 - -11101102?\nAnswer: 11020220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -3. Let u be ((-2)\/5)\/(9\/(-90)). Solve u*a = h*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.747 to zero decimal places.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -3\/5*q**5 - 3\/2*q**4 + 3*q**2 + 0*q**3 + 33 + 3*q. Find v, given that w(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67773599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*2*(sqrt(77) + sqrt(77)*4))\/(sqrt(1331)*3 - sqrt(891)*1).\nAnswer: 10*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1*(sqrt(78)*2 + sqrt(78) - sqrt(78)) - sqrt(78)*2*5))\/((sqrt(600) + (sqrt(600) - (sqrt(600) - sqrt(600)*-3 - sqrt(600)))*-4)*-4).\nAnswer: sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 19951*v - 119716. Determine d(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3856964*z + 27474. Let k(l) = -1685*l + 12. Determine 4579*k(g) - 2*p(g).\nAnswer: -1687*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hgjy when four letters picked without replacement from eheehgyjejjb.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3952 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135903886?\nAnswer: 2, 37, 1836539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/2*(0 - -1). Suppose z + z + 5*i = 20, 4*z + 2*i - 24 = h. Put 6, z, -4 in descending order.\nAnswer: 6, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 64 = 3*p - 9*p for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-10) + 1699\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 6, -0.9, 4, -4?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 11*i**2 + 31*i - 413. What are the prime factors of k(18)?\nAnswer: 3709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(343) - (5 + sqrt(343) + -2) - (sqrt(343)*-2*-5 - sqrt(343))**2 - (4 + -1*sqrt(343) + -1 + 3)).\nAnswer: -7*sqrt(7) + 27792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5. Let u = -1\/12 + -1\/6. What is the closest to q in -3, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111083.\nAnswer: 7, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 25, 13, -1?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147944250?\nAnswer: 2, 3, 5, 47, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5023?\nAnswer: 5023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = -d - 32. Let j = -19 - d. Let o = 8 + j. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4313, -4446, -4579?\n\"Answer: -133*v - 4180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - p = -4*p - 339, p = -5*d + 553. Let m = d + -107. Solve m*c + 0*c = -4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + 279 + -3 - -2. Which is smaller: y or 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -16 - 15. Suppose 443 - 1838 = -5*r. Calculate the highest common factor of h and r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 - 32*t**2 - t + 4. Let p(n) = 8*n**3 - 127*n**2 - 4*n + 17. Determine -9*d(m) + 2*p(m).\nAnswer: -2*m**3 + 34*m**2 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y - 10*y - 5*y + 3*y.\nAnswer: -12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -6*p**3 - 4*p**2 + 8*p + 4. Let a(r) = -17*r**3 - 11*r**2 + 24*r + 11. Let l(j) = 2*a(j) - 7*h(j). Factor l(i).\nAnswer: 2*(i - 1)*(i + 1)*(4*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 3*u**2 + u + 1. Let m be o(-2). Suppose 5*z - 4*x - 48 = -3*x, 0 = m*z + 2*x - 34. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - v - 3)*(0*v - v + 2*v) - 6*v - 3*v**2 + 6*v)*(-66 + 29 - 117).\nAnswer: 616*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -313 (base 4) in base 13?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 483 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/24*-3*(-1)\/(-10). Let q(x) be the third derivative of 0*x - 2*x**2 + s*x**4 - 1\/3*x**3 + 0. What is the derivative of q(f) wrt f?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183500841.\nAnswer: 3, 19, 997, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000115582688 to six dps.\nAnswer: 0.000116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14476*g + 17245 = -10987 - 720 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776613 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 591? (a) 0.2 (b) -1\/8 (c) 15\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, u: 9}. What is prob of picking 3 u and 1 m?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-3))\/4)\/((-64)\/(-8960)*65)?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 992, 8737, 29982, 71477, 139972, 242217, 384962?\nAnswer: 574957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 + 124. Which is the biggest value? (a) 3 (b) 1\/3 (c) w (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmnflpmmmmmmmnimnnmm. What is prob of sequence nmpi?\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 383036*r + 652187*r + 43093*r - 143546*r.\nAnswer: 934770*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) -44 (c) 864 (d) 52 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12.7 in 6974, -12, -0.5?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1040468 and 0.5.\nAnswer: 1040468.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 + l + 7. Let t be z(-9). Let b = -3182 - -3212. Calculate the highest common factor of t and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.183662442 - 5.\nAnswer: -4.816337558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(325) + sqrt(325) + 2))**2 + 1*(sqrt(325) + 0).\nAnswer: 1005*sqrt(13) + 32600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 18*q**2 + 8*q**2 - 51*q**2.\nAnswer: -59*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-1)*76\/((-8056)\/795)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, 4, 1, 735, 0 in descending order.\nAnswer: 735, 4, 3, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1544 and 31?\nAnswer: 47864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 142107\/(-2828)*(-2 + 2\/(-3))?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 + -85?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of -3*x**2 - 3\/4*x**4 - 3*x**3 + 0*x - 1. Let d(l) = 0. Calculate l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 - ((-264)\/(-56) - 5). Is -4\/21 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5*(-1 + sqrt(325) + sqrt(13) + 4*(sqrt(52)\/sqrt(4) - sqrt(13) - sqrt(13))))**2 + (sqrt(52)*-3*4 - -5*sqrt(468))**2.\nAnswer: -500*sqrt(13) + 7093","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23995, 48247, 72499, 96751?\nAnswer: 121003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + 16)*100\/90. Is w > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1035\/(-230))\/(1\/4*-9)*(-69)\/2?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/3*(-5)\/15. Suppose 0*q = 2*q + 92. Let l = 137\/3 + q. Which is the third smallest value? (a) j (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18981, -36, 5, 4 in decreasing order.\nAnswer: 18981, 5, 4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18335879*a**2*u + 1442*a*u - 1006*u + 12 wrt a?\nAnswer: 36671758*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2242 is divided by 377?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 5*s + 14. Let r be b(-7). Suppose r = -w - 21 - 15. Let t be (-126)\/4*w\/54. Calculate the greatest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + j + 3, -3*i - j - 3*j + 2 = 0. Suppose -38 = i*h - 42. Let b be 48\/(-28)*(-5 + -2). Solve 0 = h*k + 2 - b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -1 (b) 8 (c) -46\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170 and 24854.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes after 11:02 AM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**3 - 9*o**2 - 2*o - 3. Determine r(3).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*x = 1695, -4*t + x = 6*x + 1360. Find the common denominator of -113\/10 and -1 + 0 + t\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - -2)\/(2\/6). Let r be d*1\/(6\/(-4)). Let z be 4\/12 + 104\/12. Solve r*w = -w + z for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 4*z**2 - 3*z + 1. Let i be d(-3). Let m(o) = o + 4. Let k be m(-3). What is the greatest common divisor of k and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -1, -162, 87 in decreasing order.\nAnswer: 87, 0, -1, -4, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 288 - 198. Suppose 7*z - 2*z - b = 0. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-880)\/(-6))\/((-5)\/15). Let b be h\/(-36) - 2\/9. Suppose 39*v - 35*v - 120 = 0. What is the highest common divisor of v and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7*(-129)\/(-3)*8570\/59990?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -76749 divided by 59?\nAnswer: -76749\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(10\/3)*s\/(s*s*s**(2\/15)*s))**(-8\/5) assuming s is positive.\nAnswer: s**(536\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2578184?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -10*w + 173 - 46*w + 25*w. What is the smallest common multiple of 322 and h(5)?\nAnswer: 2898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-38)\/95*20\/(-8). Sort h, 560, 4 in increasing order.\nAnswer: h, 4, 560","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -2 (c) 2\/9 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 4:36 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*u + 52*u - 196*u to the form v + r*u and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c + 16. Let f be 4\/(-6) + c\/(-6). Sort 0.4, f, 5 in ascending order.\nAnswer: f, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x + 4 = -20. Let f be 1\/((-52)\/(-8) + -4 + x). List the prime factors of (-5)\/f*2 + 92.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.28147 weeks in days?\nAnswer: 106.97029","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 219 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -20*k**2 + 20*k. Let y(v) = v**2 - v. Let n(p) = -l(p) - 16*y(p). Factor n(d).\nAnswer: 4*d*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 326671?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 15 = 2*r, -3*r - 5*l = -12 - 13. Let t = -11 + r. Let w = 5 - t. Is 8 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38380 and 10201860?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94348726 by -1.\nAnswer: -94348726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -306711141 divided by -404099?\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 + 9. Let m = -0.12 - -4.12. What is the second biggest value in -1, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, -167, 1\/2, -5, 0?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2747, -10967, -24675, -43877, -68579, -98787, -134507, -175745?\n\"Answer: -f**3 - 2738*f**2 + f - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from dddddddddodododddddd.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-8)\/(-48)*-68)\/((-2)\/492)?\nAnswer: 2, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 4:32 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1089*g**3*i**4 + 1118*g**3*i**2 + 37*g*i**4 + i**2 wrt i.\nAnswer: 26136*g**3*i + 888*g*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(1088) + sqrt(1088) + 1 + sqrt(1088) + sqrt(1088) + -2 + -3 - -6*((sqrt(1088) - sqrt(1088)*-2) + -5)))**2.\nAnswer: -10560*sqrt(17) + 527492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-1)*n)**(-29)\/(n**(-2\/5))**(-17\/3) assuming n is positive.\nAnswer: n**(-469\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 8:32 AM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -33163 and -0.4.\nAnswer: -33163.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1558 and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -810*g**2 - 1963 - 2*g**3 + 810*g**2 - 1957 + 3935.\nAnswer: -2*g**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.38 - 3.38. Let q = -1.38 + 114.38. Let i = -113.1 + q. What is the nearest to 2\/3 in j, i, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157052 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-1 - -5) - (-3 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -25*q**2 + 11*q - 4. Let k(r) = -5*r**2 + 2*r - 1. Let a(j) = -11*k(j) + 2*p(j). Let d(h) = 16*h**2 + 10. Determine 20*a(t) - 6*d(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24441 and 6561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + i = 40. Suppose -i = -o - 3*o. Suppose 0*s - 2*s + 68 = -o*t, 5*t + 140 = 4*s. Calculate the highest common factor of 45 and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -1, 3*j - j - 4 = -2*i. Solve h = -4*r + 1, -3*r - h - j = -2*h for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31121 is divided by 452?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 979424 and 612140.\nAnswer: 4897120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 147, 88, 27, -36, -101?\nAnswer: -168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 344 and 2236?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.1 - -12. Let a = -0.8 - b. Let p = 2 - 3. Which is smaller: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 + -9 + 18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 + 91. Solve v*f - f - 20 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/10, 3\/2708, 1\/5, -0.027, 4?\nAnswer: 3\/2708","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (1 - -2) - (41 + -52).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 5*d = -51, 3*o + 21 = -4*d + 2. Let w(i) = -2*i - 21. Let f be w(o). Suppose -4 + 12 = 4*l. Solve -5 = l*p + f for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47393808703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -231*t + 951 + 2976 for t.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**5\/30 + w**4\/24 - 2*w**2. Let v be f(1). What is the first derivative of 0 - 1 - y**2 + v wrt y?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00560794 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.1 + 8.1. Let m = g - 3. What is the second biggest value in 2\/21, m, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*-1*(-14 - -2). Is 134\/6 + 16\/d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and 543049615167.\nAnswer: 543049615167.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1299943 or 9099603\/7?\nAnswer: 1299943","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4599, 4691, 4969, 5523, 6443?\n\"Answer: 15*f**3 + 3*f**2 - 22*f + 4603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (0\/(-1))\/(13 - 16) - -2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 109, 217, 291, 313, 265?\n\"Answer: -3*z**3 + z**2 + 126*z - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 7:41 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1930*t + 110803 = -1186*t + 29787 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.51311804 to 2 decimal places.\nAnswer: 4.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**5\/15 + 4508*y**4\/5 - 352982*y**3\/15 - 40576*y**2\/15 + 68792*y + 705952\/15 = 0. Calculate y.\nAnswer: -6788, -1, 2, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.427 minus 16?\nAnswer: -17.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -23*m**3. Let h be ((-8)\/(-36))\/(-1) - (-2)\/9. Suppose h*c = -3*q - 2*c + 22, 25 = 5*c. Let z(a) = -8*a**3. Give q*i(o) - 11*z(o).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 - 27*d + 13. Let z(n) = -n**2 - 32*n + 11. Let m(i) = 6*w(i) - 5*z(i). Give m(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b7 - -158?\nAnswer: 20f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 174032387?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6752450847.\nAnswer: 3, 17, 379, 349343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 19725259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -911*p**2 + 5175 - 5175 to k*p**2 + h + c*p and give k.\nAnswer: -911","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 374?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 501 + 108 = -5*j, 5*w - 2*j - 450 = 0. Suppose -10*u - 2*o = -13*u + 56, -5*u = -2*o - w. What is the remainder when 29 is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 4*u. Let y = -17 + 15. Let b be 0\/(y - 0 - 0). Solve u = 3*w - 4*k - 1, -17 = 5*w - b*k - 2*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 4\/43, 1, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i - 57849 = -273993. What is the highest common factor of i and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1762646.052 and -7983?\nAnswer: 1770629.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -7*x + 24. Suppose -4*h = s - 173, -479 = -3*s - 0*s - 2*h. Let n = 162 - s. Solve -d - 2*j - x = -j, -n*d - 14 = j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 9:45 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.5, 5, 0.1, -6207351?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**5\/d*d)\/(d*d**13))\/((d\/(d*d*d\/(d\/((d**7*d)\/d))*d))\/d*d\/(d**(-9)\/d)) assuming d is positive.\nAnswer: d**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4*m - 9 = 0, 0 = 4*j - 7*j - 2*m + 13. Suppose -j = -3*c + 28. Calculate the remainder when 21 is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/72 and (-1)\/(-2) + ((-13064)\/960)\/(-23)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**5 + 2*t**3 - 4*t**3 + 3*t**5 + ((0*t + t**3 + 0*t)*(-3*t + 0*t + 4*t) - 2890*t**3 + 2890*t**3 - 853*t**4)*(-3*t + 2*t + 2*t).\nAnswer: -853*t**5 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n = 28*n - 2*q + 11, 4*n - 2*q + 12 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 9*m = 7*m - 5, -a + 3*m + 5 = 0. Sort 3, -2, a.\nAnswer: -2, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -70*c - 2996. What is the least common multiple of 882 and o(-59)?\nAnswer: 7938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1471114 minus -8960?\nAnswer: -1462154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13566 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1292 is divided by 52?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -4. Let t(d) = -d**2 - 9*d - 9. Let j be t(b). Suppose 2*h = 4*s - 8, j*s - 2*h + 0 - 9 = 0. Solve -3*y = -2*m + 8, 3*m - s = -y - 11 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 812, 3231, 7262, 12905, 20160?\n\"Answer: 806*p**2 + p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116797?\nAnswer: 116797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33 and ((-34)\/(-8) + -3)*24?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/(v*v**(-2\/15)))\/((v*(v*v**(-1))\/v*v)\/(v*v**(2\/5)*v)))\/(v**(-1)\/(v**(-4\/3)*v*v*v)*v\/(v**(-2\/5)*v)*v**(-3)\/v*v) assuming v is positive.\nAnswer: v**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 45 = -2*j, 2*m - 3 = 3*m. What is the third derivative of -j*b**6 - 103 + b**2 - 34*b**6 - 97*b**3 + 56*b**6 wrt b?\nAnswer: -240*b**3 - 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71\/136 - -3\/136. Which is the closest to 8? (a) j (b) -2\/13 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/5)*y*y*(y*y\/(y\/y**(-1\/4)))\/y)\/(y**(-2\/7))**(-1\/5))\/(y**(-2\/3)*y**(-1))**(-1\/4) assuming y is positive.\nAnswer: y**(218\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 18*c**4 + 533*c**3\/6 - 2*c**2 + 41. Differentiate t(m) with respect to m.\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(11 - 164\/12)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - (2 + 0))*13\/26. Let s(v) = v**2 + 2*v + 1318. Let t be s(o). Suppose -3610 = -12*m - t. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c + 3. Let g(t) be the second derivative of -1\/2*t**2 + 0 + 11*t + 1\/3*t**3. What is 2*f(m) + 7*g(m)?\nAnswer: 4*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9997*b**5 + 5*b**2 - 13*b + 3?\nAnswer: 599820*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-77)\/(-176) - (2 - (-24)\/(-15)). Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2610.9756 - -0.9756. What is the nearest to 0 in w, -0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8780 = 2496*d - 60911 - 115101 for d.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**3 - 880371*t**2 - 64589078673*t - 193759312761 = 0. What is t?\nAnswer: -146727, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*q - 12921 - 2409 = -35*q + 279*q for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 107*y**5\/20 - y**4\/6 + 69*y**2 - 112*y. Differentiate u(v) with respect to v.\nAnswer: 321*v**2 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + r**3 + 2*r)*(-1292*r - 355*r - 1 + 83*r) in the form d*r**3 + m*r**2 + p + g*r**4 + c*r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -8.24. Let d = 160 + -159.61. Let w = d + q. What is w rounded to 2 dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -0.2, 360, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 3. Let s(l) = -2*l + 1 + v + 2. Determine s(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1020*u + 2 - 1024*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*y**3 - 9732530*y + 3434623?\nAnswer: -6*y**2 - 9732530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 286\/(-44)*(-150)\/65?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -160, 5, 4, 1 in decreasing order.\nAnswer: 5, 4, 1, -160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 9 + 6)*(-9*f + 37*f + 28*f)*(6 - 3 - 4).\nAnswer: 168*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0, 1\/6, -0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c5cea - -2?\nAnswer: 1c5cec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 2*l + a = -9, 3*l + 13 = -2*a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 100189*j**2. Let i(q) = -15*q**2. What is p(i(m))?\nAnswer: 22542525*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b - 55*b = 19*b + 990 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from zxzzzzzzzxzzz.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-60)\/160 - (-77430)\/16.\nAnswer: 3, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73393\/10 - -7333. Calculate the common denominator of w and -13\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -2)\/(6\/4*94\/(-1833))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5174d + 4?\nAnswer: 51753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/21 and 7\/17042604?\nAnswer: 119298228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 1, -380, -1, -5 in descending order.\nAnswer: 1, -3\/4, -1, -5, -380","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 6\/127 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1760 = -82*f - 22*f + 16*f for f.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 28*m - m + 6 + 25 + 12 = -7*m, 5*n = -4*m + 157 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (3 + 3 - 12) + 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 32, 16, 2, -10, -20, -28, -34?\n\"Answer: n**2 - 19*n + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 8*q**2 + 3. Let r be m(-8). What is the second derivative of -2*g**3 - 7*g**3 - g + 8*g**r wrt g?\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 3:27 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*t + 30*t - 34*t.\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 41 + -9a81a?\nAnswer: -9a789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 + (-3)\/(-12). Suppose c = 3*q - q - 2. Are q and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m - 405 - 683 = 0. Calculate the remainder when -6*3*m\/(-12) is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.4, -1.1, -4, 11224\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*y - 44*y = 18. Let c(d) be the second derivative of -1\/12*d**4 - d**3 - 3\/2*d**2 - y*d + 0. Determine c(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2332 (base 5) to base 14\nAnswer: -1a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 93979, 184158, 274337, 364516?\n\"Answer: 90179*p + 3800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -117003, -233194, -349385, -465576, -581767, -697958?\n\"Answer: -116191*p - 812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681*w + 5*w**3 - 344*w + 15*w**3 - 332*w.\nAnswer: 20*w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 117711 - -1?\nAnswer: 117712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 8, w: 2}. What is prob of sequence fw?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85 + 98. Suppose -5*z - 35 = -a, -3*a - z - v = -38. Solve 11*c - 6*c = -a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 AM and 5:45 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*j**3 - 28*j**2 + 172*j + 60 = 0. What is j?\nAnswer: -5, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 117\/24 - 17\/(-56)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 40\/(-14) - (9 - (-138)\/(-14)). Sort -9, 3, n in ascending order.\nAnswer: -9, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-54)\/135 - (-9)\/30*141778 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d + 5, 5*m + 3*d + 44 = 0. Let l(s) = -s**3 - 9*s**2 - 16*s - 9. Let k be l(m). Solve 0 = -2*o, k*p - 2*o = -0*p - 20 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -38*n. Let t(u) = -6*u. Let x(r) = -4*r. Let y(b) = 5*t(b) - 8*x(b). Calculate v(y(w)).\nAnswer: -76*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + 0 + (-12)\/4. Let t be (-4 + v\/(-2))\/(3\/2). Is -3\/4 less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6236*u + 2160*u - 1042*u - 5070*u.\nAnswer: -10188*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 5*r = 24. Let h be r*(-3 - 388384\/(-129462)). Let a = 1100399\/302078 + h. Calculate the common denominator of -11\/6 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.184593 rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 914310 and 12.\nAnswer: 1828620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afuurauaaruffaaaaaa. What is prob of picking 1 a and 2 r?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/24 - (-78)\/16. Suppose j - 4*j = 0. Suppose j = 4*q + 5*l - 9264, -c*q + 12596 = 2*l + 999. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2232703.612 rounded to the nearest 100?\nAnswer: 2232700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.724 + -2.606. Let s = -0.33 - q. Suppose 7 + 8 = 3*u. What is the second biggest value in -3\/4, u, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.346 + 0.754. Which is smaller: 6 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 = 1. Suppose -k*f + 13 = 1. Solve 2*j - 3*j = -3*s + 20, -f*s = -j - 25 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + z + 1. Let k(p) = 2*p**2 - 2*p - 2. Let l = 7 - 11. Let i(m) = l*k(m) - 9*n(m). What is the units digit of i(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 4*r**2 + 2*r - 2. Let u = 52 + -54. Let z be n(u). Solve z = s - 3*w, 2*s - 4 = -w - 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*v + 326 - 299. Suppose v*l + 0*l = -3*p + 123, -p - 187 = -5*l. What is the remainder when 645 is divided by l?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*q = 233*q + 750 for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0981 + -2.5019. What is the third biggest value in 3\/7, 2, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y. Let b be l(6). Let m be ((-1)\/1)\/((-3)\/b). Let w(z) = z**2 - 7*z + 9. Calculate w(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 3:04 PM?\nAnswer: 7:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41691236 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4322 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 8*k**3 + k**2 - 36*k + 67. Determine x(2).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 767091400*d**3 + 233213718?\nAnswer: 2301274200*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 94732008?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9684 and 100927724?\nAnswer: 908349516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - f + 2)*(-f**3 + f**3 + 2*f**3) + f**4 - 3*f**3 + 3*f**3 - f**4 - 13 + 13 + (6*f**4 + 6*f**4 - 13*f**4)*(2 - 4 - 1).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2303595 or 2303594?\nAnswer: 2303594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/5)\/((-1)\/((-135)\/18)*-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.69 + -0.19. Let v = -135599 + 135600.49926. Let q = v - l. What is q rounded to 4 decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*s**2 + 9*s**2 + 30*s**2)*(-s**2 + 5*s**2 - 2*s**2) - s**4 - s**4 + 4*s**4 in the form f*s + k*s**2 + x*s**3 + w + a*s**4 and give a.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 100023?\nAnswer: -100023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.3 and 700689?\nAnswer: 910895.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 10 = -2*i. Suppose -2*u = -i*u + 3. Is (-7*u)\/((-3)\/87) 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 251, 2, 6, -27\/4, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 + 13*p - 11. Let b be i(12). Let d be 89\/((b - 0)*1). Suppose -4*g = -0*m - m + 14, -4*m + 5*g = -d. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26 + 20. Let w = g - 9. Let h(j) = -j - 20. Let t be h(w). Let n(v) = -3*v - 7. What is n(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*x + 15. Suppose -2 + 14 = -8*y + 4. Sort 0, x, y.\nAnswer: x, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0024700961 rounded to five decimal places?\nAnswer: 0.00247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71357561 to the power of 1\/4, to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*n - 26, 2*k + 3*k = -n + 28. Suppose k*u = u. Suppose u = -2*x - 0*x + 1282. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 - 10*s + 32. Let q(r) = -r**2 + r - 7. Determine i(t) + 5*q(t).\nAnswer: -3*t**2 - 5*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 minus 2616?\nAnswer: -2586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6769753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 741*j**5\/5 - 244*j**2 + 608. Find the second derivative of v(i) wrt i.\nAnswer: 8892*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -5\/3, -5, -147, -5.3, -4\/5, 0.04?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90714.\nAnswer: 2, 3, 13, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*a + 1980 = 147*a. Let p be 848\/(-10)*a\/(-66). Calculate the highest common divisor of p and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 11*o**2 + 13*o + 35. Let q be l(-10). Solve -7*i + 12*i = q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -942 - -1379. Suppose -152 = 3*q - m. What are the prime factors of q?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 + -14. Find the third derivative of 101028*y**2 + 2 + 31*y**3 - 101012*y**u - 5 + y**4 wrt y.\nAnswer: 24*y + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - 2)\/(-233 - -232)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1121 + 11123212111?\nAnswer: 11123213232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -4*i**3 - 18*i**2 + 25*i + 314. Give u(-7).\nAnswer: 629","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -252007 + 1723896 = 94*i - 393823. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 700 and 496025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 19 = 27. Solve -t = -x*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.9 (b) 0.054 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -334 - -363. Let t = 158 - 72. What is the remainder when t is divided by q?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215720907.\nAnswer: 3, 71906969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 12*k**3 + 1560*k**2 + 3*k + 393. Give i(-130).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.006 and -0.256607.\nAnswer: -0.262607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*m = -59*m - 12 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1567 a factor of 69389894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*z = 2*z - 142, 182 = 5*j + 2*z. Let x be (-18)\/j + 39\/6. Solve 5*k = x*k - 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*y - 170, -264 = -3*l - 3*y + 255. Suppose -l = -5*h - 57. Calculate the highest common factor of h and 46.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -313.1 - -313.2. Put -0.03, -1, 3\/5, f in decreasing order.\nAnswer: 3\/5, f, -0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (84\/63)\/(6\/(-14)*(-161)\/(-92))?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**5\/7 - 30*g**4\/7 + 3*g**3\/7 + 92*g**2\/7 + 60*g\/7 = 0 for g.\nAnswer: -30, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 3*z + 0*z)*(2 - 2 + 2*z)*(5 - 3 + 3).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -832 + 1390. Does 62 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 + -0.6. Let l be (-1)\/1*(-1)\/5. Let r be 2\/(-3 + (-7)\/((-105)\/55)). Which is the biggest value? (a) r (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62 - 32. Let c(l) = 32 - 66 - 18*l + 33. Calculate the remainder when p is divided by c(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1575 - 682. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97145 is divided by 782?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nttt when four letters picked without replacement from {n: 5, t: 8}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1049891.9 - -0.4\nAnswer: 1049892.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44220, -6, -3 in increasing order.\nAnswer: -6, -3, 44220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*x**2 - 14 + 5*x**2 + 10*x**2.\nAnswer: 21*x**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o + 13. Let i be n(-4). Let f(j) = -j - 19 + 8 - i. Let c be f(-13). What is the nearest to 1 in -1\/5, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -6 + 6 - (-77 - -78)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 59572.\nAnswer: 1191440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -0.006.\nAnswer: -1.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 4*r = -8, 0 = 51*a - 3*r - 115 + 73 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 8\/(-12)*-3. Let g(y) = y**2 + y + 2. Let a be g(n). What is the tens digit of a\/((-8)\/92)*-1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108535171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19051736 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 1707 = -567. Let w = -94 + i. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -657, -1007, -1059, -819, -293, 513, 1593?\nAnswer: 2941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3296 - 1396. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 3, 1\/3, 2, -4, 10.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millisecond in microseconds?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c, 1 a, and 1 m when four letters picked without replacement from cmaaacccdamamaca?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9557 is divided by 45.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 63 + 43 = -2*o, 4*f + 2*o = 22. Solve 23 = -4*y + 18*l - 13*l, 5*y + 4 = -f*l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14307 + 6*z + z**2 - 75271 + 2*z**3 - z**3 + z**3.\nAnswer: 2*z**3 + z**2 + 6*z - 60964","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b. Let v(o) be the first derivative of 0*o - 35\/2*o**2 + 29. Calculate v(x(h)).\nAnswer: -70*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10*70\/168*-6)\/(-1).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-200757)\/(-15)*-1)\/(40\/(-200)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 25 and 2425.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1039284, -2078560, -3117838, -4157118, -5196400, -6235684, -7274970?\nAnswer: -8314258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 451 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 64\/(-78) + (-2)\/(-3). Suppose -6*m = -4*m. Are y and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 19 = -3*u, 2*x - 5*u - 5 - 28 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.95 + 1.45. What is the closest to 0.1 in -1, -4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*m + 28 = -2*m, 4*f - 2*m - 26 = 0. Solve 4*l + 2*g - g - 5 = 0, f*l = -3*g + 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.9575718 rounded to 1 dp?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1539 and 20071400.\nAnswer: 20069861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + z - 111 = -42, 84 = 5*d + 2*z. What is the nearest to d in 0.3, -1\/11, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 1514284*n + 12. Let v be y(7). Let d be (v - -2) + (4 - 6). What is d rounded to the nearest 1000000?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ubit when four letters picked without replacement from {u: 1, a: 1, t: 2, i: 3, b: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -57 + -3. Let d = i - -205. List the prime factors of d.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-18) + 141\/27. Let p = o + -3. Suppose 0 = -4*x - 3*y + 4, -p*x + 5*y - 1 + 3 = 0. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1358 is divided by (8 + 997)\/15 - 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 47*l - 145. Determine b(26).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 6:31 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(1\/3)*x)\/x)*x*x*x)**(-3\/5)*x*x\/(x**(-7)\/x)*x**(-2\/15) assuming x is positive.\nAnswer: x**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2. Let b = -4 - -6. Let w(r) = b*r + 5*r + 94 - 93. What is w(f(p))?\nAnswer: 7*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3916 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -90, 1, 4, -60 in descending order.\nAnswer: 4, 2, 1, 0, -60, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(18\/1)\/((-2)\/53)*26272\/(-591120)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 divided by 4.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2747, 11227, 25363, 45155?\n\"Answer: 2828*x**2 - 4*x - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 63354116 to the power of 1\/2, to the nearest integer?\nAnswer: 7960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -93, -85, -77, -69, -61?\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 25*f + 104. Give u(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2751.66903 from -17.1.\nAnswer: -2768.76903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56485?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1079622*-0.1\nAnswer: 107962.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/25 + 261\/5. What is the units digit of 8\/a + (-345)\/(-39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479 - 479 + 2*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -41*u + 4*u**2 + 41*u - 30 + 17. Let n(z) be the first derivative of z**3 - 9*z + 4. Calculate -5*i(g) + 7*n(g).\nAnswer: g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**2 + 96*y + 25. Let d be m(25). What is the common denominator of 19\/16 and ((-38)\/d)\/(44\/(-33))?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - 34?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104920 or 104873?\nAnswer: 104873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - s - 2 = -5*s, 5 = 5*n + 5*s. Let l(c) = 0*c**2 + 3*c**n - 2*c**2. Let q(a) = a - a - 2*a. Determine q(l(k)).\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3.68332 + 1107\nAnswer: 1103.31668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -70 - -70.4. Put -4, -2, u in decreasing order.\nAnswer: u, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2305*g**2 + 423*g + 3 wrt g?\nAnswer: -4610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1915784 and 155987.\nAnswer: 2197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -1112102122121?\nAnswer: 1112102122112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/48 and 89\/228?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 3 (c) 0.3 (d) 108726\/47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -4, 12, -762, 1\/823?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15942601\/254 + -62766. Calculate the common denominator of n and -97\/10.\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 + 10*h + 21. Let c be b(11). Does 36 divide (17\/c + -2)*64*-15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 5*11 + 0 + 0. Let f = o + -41. What is the greatest common divisor of 98 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-2)*(-104)\/(-65). Suppose 16 = y + 2*g, 40 = -0*y + 3*y + r*g. Solve -2*i + 4*t = 0, 3*i - t = y + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 - 24*a - 19. Give d(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -828, -1673, -2516, -3357?\nAnswer: -4196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 2:48 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(63\/9 - 6). Solve s - 4 = -4*s - 3*u, h = 3*u - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*p**4 + 0 + 7\/4*p**3 + 5\/4*p + 11\/4*p**2.\nAnswer: p*(p + 1)**2*(p + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 equal to 240?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.1 - 5. Let i be (-20)\/40*1\/(-2). Which is the nearest to 0.1? (a) q (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2 - 3 + 0 + 13*b**2 wrt b.\nAnswer: 26*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 2992\/153)*54?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -5*f + 30, -2*q = 4*f + 1 + 1. Let b(v) = v + 17. Let y be b(-11). Sort f, -2, y in descending order.\nAnswer: y, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -5, -28, -208, -4 in ascending order.\nAnswer: -208, -28, -5, -4, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 6 and -63688057696.\nAnswer: -63688057690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 34, 57, 80, 103, 126?\n\"Answer: 23*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68630.8265 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/978341 and 10\/1183.\nAnswer: 978341","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 0*n - 35. Let z be ((-2)\/(-3))\/(10\/(-45)). Find the common denominator of z - (-3 - (-23)\/n) and 2\/11.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 5 - 9 + 0)*(67 + 81 - 48 + 1 - 5 + 3 + (4 - 2 - 3)*(4 - 3 - 2) + (4 + 1 - 3)*(-1 - 1 + 3) - 2 - 1 + 2).\nAnswer: -101*o - 1414","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1\/(u**(2\/7)*u*u))\/(u**(-1\/2))**44)\/((u\/(u\/(u*u*u\/(u*u*u**(2\/3))*u)*u))**(-1\/39)\/((u\/u**(2\/3))\/u)**(23\/5)) assuming u is positive.\nAnswer: u**(72302\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -233*g + 240*g - 903 = 0. What is the remainder when g is divided by 74?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f - 2*f - 2*f)*(3*f - 3*f - f)*(17*f**2 - f**2 + 3*f**2) + 2*f**4 + 0*f**4 + 0*f**4 to the form q*f + d*f**3 + x*f**2 + v*f**4 + c and give v.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10291 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*o - 5*n, 3*o - n = -4*n + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 10*f**2 - 13*f - 16. Let h be p(-11). Let z be h\/8 + (-11668)\/(-16). What is z rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4 = -5*i, 2*c - 6 + 2 = 0. Let t be (5 + (2 - 3))*125\/100. Solve -t*d - 6 = w - i*d, -4*w = 2*d + 14 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2. Let a(k) = 4*k**2. Let v be 392\/(-22) + 6\/(-33). What is v*o(c) - 4*a(c)?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2. Let g(s) be the third derivative of 7\/12*s**4 + 0*s**3 + 0*s + 0 + 12*s**2. Determine g(q(k)).\nAnswer: -56*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 4. Let q(f) = -f**2 - 8*f. Let l(i) = -1. Let a(r) = -3*l(r) + q(r). Let x be a(-8). Put x, u, -27 in ascending order.\nAnswer: -27, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -9. Suppose b + b + 12 = -m*k, 0 = -2*b + 5*k + 24. Solve r + b = -x, -2*x + 2 = x + r for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24*441\/(-378)*1.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5320 + 445?\nAnswer: 10205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - v + 0*v)*(-108 - 28 - 72)*(-2*v + 5*v - 4*v)*(4 + v - 4) as n + q*v + z*v**3 + b*v**2 and give z.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - s - 3. Let k be c(-3). Let m be (412996\/(-9))\/((-113586)\/k). Let g = 2\/5163 + m. What is the common denominator of -2\/11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3199461*m + 3199461*m + 128*m**2.\nAnswer: 128*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 25450\nAnswer: -4\/12725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**7*f\/(f**1\/f*f))\/((f\/f**(-1\/2))\/(f*f**1)))**(-4\/9))**19 assuming f is positive.\nAnswer: f**(-190\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -51 - 1d3e19?\nAnswer: -1d3e6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 316.05 and -0.1.\nAnswer: 315.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16 - -21.\nAnswer: 20.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*x - 13442 = 442*x + 528*x for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 78173.46t?\nAnswer: 78173460000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 539969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -1331*r - 53240. What is h(-40)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**4 + 0 + 1 + f + 436*f**3 - 438*f**3 to n*f**4 + h*f**3 + o + i*f + p*f**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 27*p + 75. Calculate a(30).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 0.06, 0.4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 128 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 41\/22? (a) 2 (b) 2\/9 (c) 128\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186767372.\nAnswer: 2, 11, 17, 22699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5141 at least 5142?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 8*m - 10. Let p(k) = k - 1. Let i(f) = -2*f**3 - 13*f**2 - 5*f - 5. Let y be i(-6). Let t = -17 - y. What is t*p(x) + c(x)?\nAnswer: 2*x - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 y when two letters picked without replacement from nfynnnyynniyynnffy.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3905 - 3910. Let w = -12.5 - -11. Let s = -1.4 - w. What is the nearest to 4 in u, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000666262 rounded to 7 dps?\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {q: 1, x: 3, r: 1, s: 3, p: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.5, 0.2, 56, -2\/9797?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**2 - 90*c + 175. Calculate z(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -10402231\nAnswer: 4\/10402231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 9, 1, 24 in descending order.\nAnswer: 24, 9, 4, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 3*p = 9, 0*a - 3*a + 5*p = 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1223749?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*x)**(-2\/45)*(x\/(x\/(x\/(((x\/x**(-6))\/x)\/x))))\/x**(-7) assuming x is positive.\nAnswer: x**(139\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -346521, -346546, -346573, -346602?\n\"Answer: -f**2 - 22*f - 346498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + 3*s**3 - 2*s**3)*(23768 + 245*s - 23768) - 6*s**4 + 4*s**4 + 0*s**4.\nAnswer: -737*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 218 - 205.659. What is t rounded to 1 dp?\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163145871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -q + 5077, -3*m + 2138 + 1675 = -q. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 489219.3 years to centuries.\nAnswer: 4892.193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**5 - 24*r**4 + 28*r**3 + 24*r**2 - 32*r = 0.\nAnswer: -1, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 + 6)\/(2\/10). Let a be (-24)\/(-9)*(-15)\/u. Solve a*h = 3 + 5 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 171*t**3 + 45329*t**2 + 76*t - 13579?\nAnswer: 1026*t + 90658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**4\/5 - 24*q**3\/5 + 4*q**2\/5 + 216*q\/5 - 198\/5 = 0 for q.\nAnswer: -3, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (1 + 12 + -5) - -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80758*m - 25896 = 80446*m for m.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*w + 17*w + 7*w**3)*(-3*w + w + 3*w) + 0*w**4 - 3*w**4 + 0*w**4.\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-77 + t + 153 - 69)*(-1 + 2*t + 1) in the form n*t**2 + g*t + b and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 - 39 - ((-2 - -13) + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - 4. Let v(c) = 7*c + 6 - 2*c + 5 + 0. Calculate 8*q(p) + 3*v(p).\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of -a**7\/2520 + a**6\/720 - a**5\/60 + 43*a**4\/24 + 2*a**2 - 14*a. Let m(n) be the second derivative of x(n). Determine m(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -16 + 14 + (6 - (-3 - -8) - 43)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 114 - 115. Let d be 21\/77*o\/3. What is the biggest value in d, 0, -0.2, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6464 or -6466?\nAnswer: -6464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 218*v + 1. Let q be d(1). Suppose 273 = 5*o - n, o + 3*o - q = n. Let f be o + (-6)\/(-4)*-2. Calculate the greatest common factor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**3 - 55*l**2 - 1325*l - 1265 = 0.\nAnswer: -11, -1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2211412187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -181*h + 28. Suppose 5 = -0*a + a + 4*q, 4*a - 5*q = -1. Let f be i(a). Is -458\/3 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*3\/14)\/((14520\/231)\/44)\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1 (b) -1 (c) 4 (d) 1\/16 (e) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 150.83 + -149.83. Let p(s) = -s**3 - 10*s**2 - 10*s - 9. Let c be p(-9). What is the biggest value in c, 0.02, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*b - 2*b**3 - 14*b**2 + 3*b + 33*b**2 - 22*b**2 as z + y*b**3 + s*b**2 + h*b and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 7 = 29. Let u be 8\/(-3)*b\/24. Solve -20 = u*w - 0*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d**3 - 16*d**2 - 16*d - 11. Let k be o(-7). Let s be 3 + ((-1)\/k - (-32)\/96). Solve l + 1 - s = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -5, 399 in descending order.\nAnswer: 399, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 106.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2\/9, 0.145, -0.4.\nAnswer: -0.4, 0.1, 0.145, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - 6096\/(-216) - 77\/306.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 7. Let p be s(-3). Solve p*j = -8 - 8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 368138 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1634420765 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1624171*r - 1624187*r + 3248367*r - 1.\nAnswer: 9*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 6*h**2. Let o be j(6). Let g = o - -13. Suppose 1 = -2*n + g. Let i(s) = -s**3 + 6*s**2 + 6. Give i(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - n**2 + 0*n**2)*(-6*n - n + 14*n - 14*n - 26).\nAnswer: 7*n**3 + 26*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -4*i + 8*i. Let g = 0 - i. Calculate the greatest common divisor of 28 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82689995 - 389549303 = -85*n + 267613192. Round n to the nearest 100000.\nAnswer: 6800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + -10271?\nAnswer: -10274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3196 rounded to the nearest one hundred?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 586638\/486 - (2 + (-208)\/108). Let m = w - 1205. Factor 0*i + 3\/7*i**m + 0.\nAnswer: 3*i**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -79473 - -79470. Let k = -0.09 - 1.91. Which is the biggest value? (a) k (b) 4\/9 (c) z (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -399*m + 404*m = 275. Calculate the smallest common multiple of m and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from -117462289950.4.\nAnswer: -117462289957.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -44 + 48. Let x(m) = -m**3 + 2 - m**2 - 8*m**2 - b*m - 3. What is the units digit of x(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*y + 0 - 424*y + 0 to the form c + o*y and give o.\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 1 + 1 + 1. Let m(h) = 4. Let i(f) = 5*a(f) - 4*m(f). Let p = -3 + 6. Let d(r) = r + 1. Calculate p*i(z) + 2*d(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1)*a)\/a*a**(1\/11)*(a**0)**(-22) assuming a is positive.\nAnswer: a**(1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v - 12. Let c be h(6). Which is smaller: 5 or c?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**3 - 8*j**2 - 10*j - 5. Let t be w(-2). What is the second biggest value in 1\/14, t, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, k: 3, y: 3, w: 6, b: 3}. What is prob of sequence kkwk?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8\/3 and (9\/24)\/((-12)\/25).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = 5. Let l = -8 + p. Solve -h - 23 = -l*z, 4*z - h - 14 = 2*h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 66 - 6. Suppose -4*s = -s - h. What is the greatest common factor of 184 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 365488 and 402800?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - -6. Suppose a*r = 38*r - 4. Sort -3\/4, -1, r.\nAnswer: -1, -3\/4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -3*t - 4*y, 4*t - 369*y = -373*y + 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 16, -1, -32, -83?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5389 divide 254921256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/6)\/(2\/(-3)). Let h(y) = 2*y - 5 + i + 4. Let d(q) be the first derivative of 10*q**3\/3 + 226. Give h(d(j)).\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2, 374, -7, -1\/7, 0?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - 172*(-4 + -2). Suppose q = 10*m + 67. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 + 6*f**3 + 15*f**3)*(0 + 3 - 5)*(29*f + 3*f + 29*f).\nAnswer: -2318*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nesbeskbnsesbnesss. What is prob of picking 3 e?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-30)\/320*2\/(-8). Does a = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 4*o + 5*a = 0, -o - 2*a = 2. Let f be ((-3)\/o)\/(-15 + (-1323)\/(-90)). Suppose 5 = -2*n + 25. Put n, f, -4 in descending order.\nAnswer: n, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14669 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 3*i**2\/4 - 156909*i + 16943985\/4 = 0.\nAnswer: 27, 209185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46074209?\nAnswer: 46074209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1346948 divided by 17.\nAnswer: 1346948\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 227942216?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 9:42 AM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*b + 8, 4*k - b - 15 = 6. Let q be -1*(3 - (3 + 1)). Suppose -k*d = -q - 15. What is the biggest value in d, -4\/5, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -8 + 25 + 1 + -8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2233+-0.0936\nAnswer: -2233.0936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/3)\/((234\/81)\/(-13)). Solve 2 = -4*t - g + 3*g, b*t + g + 4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2, -12595421 in increasing order.\nAnswer: -12595421, -2, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-23)\/(138\/36)*(-25)\/3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -40*y + 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8903 + -8796.03. Let v = z + 1.03. Let y = v + -103. Which is the nearest to 2? (a) y (b) 2 (c) 1.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 46 and -43\/442.\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -7*r**3 + r**2 + r - 1. Let q be t(-1). Let v be -2 - (q - 4) - -7. Differentiate 7 + 8 + 14*b**3 - 23*b**3 + 24*b**v wrt b.\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/585 and -9\/54485.\nAnswer: 6374745","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37\/2 + 19. Suppose 0 = -u - 1 - 0. Let x = -6 + 9. Which is the closest to g? (a) 0.4 (b) u (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*d + 1006 = 1024, 0 = 5*w - d - 32. Let c(g) be the first derivative of g**2\/2 - 1. Let x(f) = f + 1. Calculate w*x(n) - 4*c(n).\nAnswer: n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -11*t - 14. Let g = -5 - t. What is the least common multiple of 10 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61 - 61 + 122 - t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -0 - 18. Suppose -6*q + 21 = -x*q. Let b(w) = -w**3 - 8*w**2 - 7*w - 7. Determine b(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 12:57 PM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*b - 8, -47*g = -42*g - 4*b + 41 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/10 + 0)\/(-2). Which is the nearest to 2\/13? (a) -3\/5 (b) d (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 38*k + 24*k - 66*k.\nAnswer: -4*k - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of t**6\/60 - 7*t**5\/10 + 104*t**3\/3 - 2*t**2. What is the derivative of w(a) wrt a?\nAnswer: 6*a**2 - 84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8082959 a multiple of 457?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 31 + -29. Suppose 3*i - 22 = -3*h + 8, l = -i + 3*h. Suppose i*p - 90 = p. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179963 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -58.159442 rounded to zero decimal places?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8551446*a**5 + 10225001*a**2?\nAnswer: 513086760*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/1)\/((264\/(-12))\/22)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4439.98 hours?\nAnswer: 266398.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = h - 9, 5*o - 24 = -0*o - h. Solve 4 = -l + o for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6437.\nAnswer: 41, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 381 divide 244042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 + 2*p)*(3*p - p + 3*p) + (0 - 2*p**2 + 0)*(0 + 2 + 0) - 3*p - p**2 + 3*p to the form x*p**2 + f + n*p and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 24\/30 - (-4)\/(-5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -53964*b**2. Let p(f) = -98*f**2. What is p(k(m))?\nAnswer: -285387103008*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 11*c**2 + 649*c + 262. Determine o(-58).\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 139*k = -142*k + 5, -5*k = 2*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/(-324)*(-6)\/4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-48)\/(-18)) + 59*16\/(-1088)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1257799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2632630 and 18.\nAnswer: 23693670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m. Suppose 11*c = 9*c - u + 558, -2*c - 2*u + 554 = 0. Let x(d) = 558*d - 276*d - 28*d**2 - c*d. What is x(p(j))?\nAnswer: -28*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88683 and 124424.\nAnswer: 107129064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**6\/6 - s**5 - 55*s**4\/12 + 55*s**3 - 180*s**2 + 9*s + 1. Determine w so that m(w) = 0.\nAnswer: -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -13*z**2\/7 + 90*z + 6327\/7.\nAnswer: -(z - 57)*(13*z + 111)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 7*j - 4. Give h(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 12:58 AM?\nAnswer: 5:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24237 + 24995. Calculate the remainder when r is divided by 99.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-6)*(-7 - -1). Suppose 3*p - 2*d + 348 = 0, 5*d = -3*p - 218 - 130. Let m be p\/112 - (-4)\/14. What is the second biggest value in m, -2, t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 7*z - 26, -1410*n + 2823*n - 1414*n + 2*z + 24 = 0 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4360862533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 3*z**4 + 252*z**3 - 555*z**2 - 3384*z - 2580 = 0?\nAnswer: -86, -2, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -524964 less than -525137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of 37*t + 3\/2*t**3 + 1\/20*t**5 - 7\/2*t**2 - 3\/4*t**4 - 2. Determine d(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27789 is divided by 160.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -9\/2*g**3 + 3\/8*g**4 - 1\/80*g**5 + 0*g + 0 + 7*g**2. Factor y(q).\nAnswer: -3*(q - 6)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33 * -3378696\nAnswer: -111496968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r + 2*r**4 - 1 - 2 + 128*r**3 - 2*r - 63*r**3 - 66*r**3 in the form a + x*r + z*r**3 + c*r**4 + f*r**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + sqrt(1300)*1 + 3 - ((sqrt(156) + -2*sqrt(156))\/sqrt(12) + sqrt(39)\/sqrt(3)*3))**2.\nAnswer: 54*sqrt(13) + 1062","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9847, -9614, -9225, -8680, -7979, -7122?\nAnswer: -6109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -2*s**4\/5 - 82*s**3\/5 + 33564*s**2\/5 - 1309688*s\/5 + 1276208\/5 = 0.\nAnswer: -166, 1, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 2:30 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/(-27))\/((-63)\/(-2)))\/(6\/42*-6).\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 7, -7, 3, 42, 0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(75\/(-2))*40*6\/48?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2 - 46*k = 0. What is k?\nAnswer: -23, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 2\/5, 5\/4, 50?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -28*j + 3. Determine t(2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55500224 and 572704.\nAnswer: 610502464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(5\/5530)*(-2)\/(-4). What is the greatest common factor of 79 and o?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (3 + 3 + -10 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/18000 and -14\/27.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13588586?\nAnswer: 2, 11, 523, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2177*b - 1964. Is h(-29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*m**2 - 2741*m**3 + 3*m**2 - 3 + 2755*m**3 - 4*m**2 - 2*m in the form i*m + r + x*m**2 + j*m**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 6*s**2 + 7*s - 4. Let r be v(4). Let h be 115\/(-4) + (-24)\/r. Let x = h - -26. What is the third biggest value in x, -3\/8, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1421 - 1434. Sort 0, 4, f, -3.\nAnswer: f, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/11, -5\/3, -30?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33600250?\nAnswer: 2, 5, 134401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -217 - -126?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*o - 232, 5*g - 580 = -0*g + 4*o. Is g a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(15\/(-1)))\/((-204)\/102).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3342 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*z + 5 - 63 = 0, -3*z - 88 = -4*l. Let p = 52 - l. Let a = p - -5. What are the prime factors of a?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5\/(-10))\/(2\/(-4)). Let u be (-2*(3 + -2))\/l. Is 4 a factor of u\/(-4) + (-77)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -5. Suppose 3*r = -3*b - 60 + 21, 5*r - 25 = 4*b. Let d be -2 + (b\/z)\/1. Let i(t) = t**2 - 5*t + 4. Determine i(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -25629*c - 410375. What is p(-16)?\nAnswer: -311","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 7 - 16)*(-5 + 5 + z) + 17*z - 9*z + 5*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 greater than 115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(432) + 1)*-5*-1 + -4.\nAnswer: -14 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-10)\/(-35) - ((-1581150)\/35 + 2 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 429*z + 4. Let b(w) = 107*w. Let f(i) = 4*b(i) - m(i). Suppose -x + 2 = j + 4, -5*j + 5 = 0. What is f(x)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 11*y + 7 as h*y + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13517569 and 43225226?\nAnswer: 29707657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15402.01234 - 15402. Round d to two dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 1 - 7. Let s be 1\/(-1) - (-3 - o). Sort -4, -2\/5, s.\nAnswer: -4, s, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + w - 2*w)*(-8*w + 3*w - 3*w) in the form t + c*w**2 + i*w and give c.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 36*u**3 - 6*u**3 + 0*u + 1 - u - 20*u**3 + u**2. What is a(1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 13 = b, -3*z - 2*b + 16 = -0*b. Suppose 4*i + 364 = k, 5*i = 3*k + z*k - 440. Is (-2)\/(-6) + i\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62 - ((-976 - -989) + -22 + 1).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104732?\nAnswer: 2, 26183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d + 2. Let n = 10 - 4. Let z be k(n). Let t(m) = -3*m - 4. Suppose 4*x - 29 = -1. Let j(o) = -5*o - 7. What is x*t(c) + z*j(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -375 divided by 19?\nAnswer: -375\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.448253 milliseconds in minutes?\nAnswer: 0.00037413755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5142?\nAnswer: 2, 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*u + 209 = 83*u - 22*s, 4*u = 2*s - 128 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 88366301 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -654\nAnswer: -1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6552*h - 541 + 254 - 2013 with respect to h.\nAnswer: 6552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (21*-1 - -3). Suppose 2*i + 4*h = q, 4*i - 50 = h + 26. What is the smallest common multiple of 28 and i?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.18 times -0.24?\nAnswer: -0.5232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d + 2 - 4\/75*d**6 + 1\/25*d**5 + 1\/30*d**3 - 1\/5*d**2 + 1\/6*d**4 - 1\/42*d**7. Suppose u(m) = 0. Calculate m.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -531, -5, 0.2, -20, 0.4, -1 in decreasing order.\nAnswer: 0.4, 0.2, -1, -5, -20, -531","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26805 divided by -851.\nAnswer: 26805\/851","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by 3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5526205 and 34370?\nAnswer: 2455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1971391\/114284 - 2\/28571. Let y(a) = 25*a. Let h be y(-2). Let l = h - -34. Which is smaller: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 12:50 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwaa?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1043, -1061, -1153, -1325, -1583, -1933?\n\"Answer: -v**3 - 31*v**2 + 82*v - 1093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -4839355?\nAnswer: 4839353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t**(2\/19)*(t\/t**(-3\/5))\/t assuming t is positive.\nAnswer: t**(162\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 106030 to the power of 1\/2, to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.9 + -11. Is -6 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/8 - 3\/12)*(-3355)\/(-38 - -93)\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*t - 11300 = -9475 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.517687mg to grams.\nAnswer: 0.001517687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 549912 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(12) + sqrt(768))\/sqrt(6) + sqrt(22)\/sqrt(99))**2.\nAnswer: 1568\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 8 = -6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 101, -388, -1007, -1756, -2635, -3644, -4783?\n\"Answer: -65*i**2 - 294*i + 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m**3 + m**2 + 4*m - 5. Let t(f) = -8*f**3 + f**2 + 5*f - 6. Calculate 6*n(w) - 5*t(w).\nAnswer: -2*w**3 + w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 5\/6, -0.4, 1\/5, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112020112 + 221101?\nAnswer: -1111022011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 - 6*q**2 - 12*q + 5. Calculate the remainder when r(8) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 2*s + 23, -2*d + 13 + 1 = 2*s. Let k be (-2)\/4*(-11 - -3). Is k less than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1562462 a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3943.804 nanometers to millimeters.\nAnswer: 0.003943804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -75927*m + 1746315. Determine v(23).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-160)*4*154*84\/231\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -836*l + 9159*l - 56 + 245 - 127.\nAnswer: 8323*l + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1082*z + 1425. Does 36 divide l(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -112, -111, -108, -103, -96, -87, -76?\n\"Answer: l**2 - 2*l - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 4*f + 11 = 0, 6 = 5*g - f + 3. Put 0, -0.05, -5, g in decreasing order.\nAnswer: g, 0, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276.3372 tonnes in micrograms?\nAnswer: 276337200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1903.\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1967 or -1969?\nAnswer: -1969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/5, -1, 534, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 466364345 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide ((-16)\/10)\/(18\/(-450))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 - 16906*y**2 + 1014252*y\/5 - 3042648\/5.\nAnswer: (y - 84518)*(y - 6)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n**3 + 2319 - 2*n**3 - 3*n**3.\nAnswer: 3*n**3 + 2319","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2647062 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 23717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 4*a**2 + 2*a + 3. Let i(l) = -2*l + 11. Let x be i(6). Let y be z(x). Solve 5*n = y*w + 5, -5*w = 5*n + 14 + 21 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 35 = -4*k. Let m = k + -6. Let c = 14301\/50 - 286. Which is greater: c or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 9, u: 5}. What is prob of picking 2 u?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001100 + -100100?\nAnswer: -1110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 20. Suppose 0 = -4*t - j - 2, t - 3*j = r*t + 6. Let i = -1\/78 + -115\/156. Is i bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6155265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -111*m**3 - 11*m**2 - 3*m - 11. Let t(u) = -37*u**3 - 4*u**2 - u - 4. What is 4*c(w) - 11*t(w)?\nAnswer: -37*w**3 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/133 - 409\/665. Is h greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -172*o + 1578. Calculate c(11).\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 19 = 18*i - 17*i, 5*t - 1 + 0 - 24 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 223962*g + 223963*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3334.224 or -25?\nAnswer: 3334.224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/13)*p)**(6\/13) assuming p is positive.\nAnswer: p**(60\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 6.\nAnswer: -29\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/66 and -73\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from rrxrrrxxrrfxxrfffrxr.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -14 (b) -5 (c) 0.2 (d) -2\/9 (e) -494 (f) 3.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-627)\/(-9) + 3\/9. Suppose -2*l + 2*n = -2*n - r, -5*n = -4*l + 140. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -420 (base 11) in base 2?\nAnswer: -111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)\/u**5)**46 assuming u is positive.\nAnswer: u**(-736\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -24) + 0 + -14 + 30 + -5\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k. Let u(s) = 6*s**2. Let o(z) = z**2. Let l(h) = 5*o(h) + u(h). Let f(j) = 5*j**2. Let b(d) = -13*f(d) + 6*l(d). What is x(b(y))?\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 903 = 36*k - 2301. Solve 12 = -95*v + k*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1300 divided by -52?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/7)\/(195\/(-650)))\/((-2)\/91*13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -60*o**2 - 5*o + 1. Let u be f(-1). Which is the fifth smallest value? (a) -0.5 (b) -2\/17 (c) -1 (d) 17 (e) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 2*c**3 - 16*c**2 - 2550*c + 5148 = 0.\nAnswer: -33, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -2. Put -1\/4, 2, h in descending order.\nAnswer: 2, -1\/4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 93729 + -93728.7. Let m = -3.9 + -0.1. What is the closest to 2 in m, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30.2? (a) 1778 (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13 or -25818544?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 661783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 162*y + 4724 + y**2 - 42*y - 9456 + 4730 + 64*y in the form a + p*y**2 + q*y and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*j - 2246*j**2 - 16*j - 51*j + 2242*j**2 to q*j**2 + z*j + n and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.7? (a) -2946 (b) 1687 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*z + 809 = 0, -44*m = -43*m - 5*z - 759. Which is the closest to m? (a) -0.05 (b) -1\/4 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 1452697?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 - 117*z**2 - 35*z - 5160. What is r(-117)?\nAnswer: -1065","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 3:19 PM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (169 - 393 - 22)*(2*s + 2*s - s).\nAnswer: -738*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 3. Suppose 4*n = u + 2*u + 175, -b*u = -12. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2 - 10\/3*j**3 + 11\/3*j + 0*j**2 - 2*j**4 - 1\/3*j**5 = 0. What is j?\nAnswer: -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4288638421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4\/13 - -64\/39. Which is the closest to -1\/2? (a) 1\/3 (b) q (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2967 divided by 23\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/99)\/((-4525)\/1991).\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-23)\/(-6))\/((-3)\/8). Let f = -62\/9 - q. Find the common denominator of (-104)\/6*(-2)\/(-4) and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 186\/4233839 or 0?\nAnswer: 186\/4233839","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.059616531 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((5*(sqrt(891) + 1 + -2*sqrt(891) + sqrt(891)))**2 + 6*(3 + (0 + sqrt(891))**2)).\nAnswer: -5389","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*j**3*o**3*z - 4*j**3*o*z**3 + 3*j**2*o**3*z - 35*j**2*z**3 - 2*j**2*z**2 wrt j?\nAnswer: -42*o**3*z - 24*o*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**5\/30 + c**4\/6 - c**3\/6 + 3*c**2. Does 9 divide o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t, 1 c, and 1 f when four letters picked without replacement from fitci?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 19. Determine b(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(539)) + (3*sqrt(11)*-2)**2 + 4 + sqrt(44)\/sqrt(4) + sqrt(11) + (-3 + (1 + sqrt(11))*-1 - (0 + (-1 + sqrt(176))**2)).\nAnswer: 44*sqrt(11) + 214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 47016 and 11577690?\nAnswer: 46310760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1089858169*s**4\/5 + 15258542574*s**3\/5 - 53410445257*s**2\/5 + 25883088*s\/5 - 3136\/5.\nAnswer: -(s - 7)**2*(33013*s - 8)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*m**4 - 3289*m**3 + 472*m + 1506 wrt m.\nAnswer: -984*m**2 - 19734*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.7031 + 0.7031. Suppose 2*z - 4*z + 4*q + 26 = 0, 5*z + 5*q = 5. Which is the nearest to 1? (a) 0.1 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 6:19 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9697 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 3:38 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -863 + 868. Let k(m) be the second derivative of 0 + 1\/150*m**h + 2*m - 1\/225*m**6 + 1\/90*m**4 + 0*m**2 - 1\/45*m**3. Factor k(d).\nAnswer: -2*d*(d - 1)**2*(d + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 351 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2225*4.75.\nAnswer: -10568.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5565648 and 3130677.\nAnswer: 50090832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (123*q**2 - 239*q**2 - 323*q**2)*(1 + 0 + 1)*(0*q + q - 2*q).\nAnswer: 878*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -300 in 1\/7, 1\/34, 105?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a - 5. Let c be g(-4). Suppose -20 = 3*d + 2*d, -60 = -c*s + 3*d. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57536 or -57540?\nAnswer: -57540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, x: 18}. Give prob of sequence xj.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, o: 1, e: 1, g: 2}. What is prob of picking 1 e and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/5 + 3\/5. Suppose 8 + 2 = 5*s. Let q be (-2)\/(-4)*-1*-8. Solve -3*p + s*r - g = -4, -q*r = -12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 + 13*a**2 - 16*a - 26. Let y be j(-14). Suppose -z - y*z = -1503. Suppose 0 = 2*m - q - 487 - 16, 2*m - z = -q. Is m a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274169286?\nAnswer: 2, 3, 331, 5113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + -58. Let c be h*((-4)\/(-3) - (-1)\/(-3)). Let s = -6 + 10. Solve s*t - 23 + 7 = c for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 551*c**2 + 29. Let q be k(7). Suppose -10*j + q - 2158 = 0. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = -2*m - 2*m + 2, 2*m - 4*z = 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h*h*h**37\/h))\/((h*h\/h**(4\/3))\/h*h*h))\/(h**(-1\/20)\/(h\/(((h**40\/h)\/h)\/h)*h*h)))**(-38) assuming h is positive.\nAnswer: h**(83923\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 13.6. Let t = m + 1.4002. Round t to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2. Let f(v) = -v. Let i = 9067 - 9066. Let l(k) = 12*k - 1 + 1. Let c(m) = i*l(m) + 6*f(m). What is c(d(h))?\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000658825927 rounded to 7 decimal places?\nAnswer: 0.0006588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rfrfrfbbfffrfbff. Give prob of picking 1 r and 3 f.\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 + 0 = -2*j + 3*m, 4*j - 3*m + 3 = 0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21760 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: Simplify (-6*(0 + (sqrt(1539) - (sqrt(1539) - 2*sqrt(1539)))))**2.\nAnswer: 221616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6612 is divided by 148.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2. Let a be ((-2 - 3) + 0)*2\/(-5). Let y(p) = 35*p**a + 31*p**2 - 63*p**2. Give y(w(z)).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 u when two letters picked without replacement from zjmjgjummmjm.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9) - (132\/18 + -6). Sort o, -17, 4, -5, -1 in increasing order.\nAnswer: -17, -5, o, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.035 + -5.035. What is the nearest to -5 in n, 1\/3, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 934 by -1.\nAnswer: -934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -8 - 4. Suppose 4*a + 2 = -2, 5*z + 2*a - 23 = 0. Solve z*i + 29 = 3*j, -r*i - 1 = -2*i + 5*j for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 41476620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -200121000212 + 12?\nAnswer: -200121000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*w - 210 = -6*w. Let b be ((-48)\/(-14))\/((-2)\/w). Calculate the greatest common divisor of b and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71303?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 138814411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 252.91 - 255. Let d = -2 - n. Let o = d - -0.91. What is the second smallest value in -2, 2\/11, o?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -323230 + 4?\nAnswer: -323221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/670 and 71\/12?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 v when three letters picked without replacement from {o: 1, v: 3, h: 2, a: 3, j: 1}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d. Let p(t) be the second derivative of 0*t**3 + 0*t**2 + 11\/12*t**4 + 0 + 17*t. Calculate p(u(r)).\nAnswer: 11*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 7:04 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 11:14 PM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-52)\/(-117) - ((-6924)\/216 + 10))\/6.\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57003, -57002, -56999, -56994, -56987, -56978?\nAnswer: -56967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Suppose -17 = -q*k + 13. What is the remainder when k is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 15522 - 15507 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 94645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43522 + 307?\nAnswer: 44031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 259 and 30135427?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 180110 less than -23?\nAnswer: -180133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 + 128 - 655 = -11*f. Calculate the smallest common multiple of 483 and f.\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4987783 is divided by 2579.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**6\/300 + 23*h**5\/150 + 11*h**4\/30 + h**2 + 146*h. Factor o(t).\nAnswer: 2*t*(t + 1)*(t + 22)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 108*f**4 - 58336*f**3 + 3846304*f.\nAnswer: 1296*f**2 - 350016*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -m - 0*m, 2*m = -2*f. Solve u - o = 2, u - 4*u - 4*o - 1 = m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/5 (b) 12949 (c) 56\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82382388 to the nearest integer?\nAnswer: 9076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 9:01 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2 + 76778*d + 153560 = 0.\nAnswer: -2, 76780","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -1 - 4. Suppose -p + 4*z = 16, -6*p + p - z - 17 = 0. Let v = p - u. Sort -1, v, -2 in decreasing order.\nAnswer: v, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = y + 207, q + 58 = 3*y - 2*y. Let u = q - -65. Suppose -100 = -u*w + 512. List the prime factors of w.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -476 - -524. Does 3 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 584, -4, 0, 5.\nAnswer: -4, 0, 5, 584","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 49, 5, 11 in descending order.\nAnswer: 49, 11, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -34274 - 2672478552?\nAnswer: -2672512826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*j**2*t - 400*j**2 + 3*j*t - 12*j + 146463*t + 1 with respect to j.\nAnswer: -6*j*t - 800*j + 3*t - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 55*l**3\/3 - 45*l**2\/2 - 10*l + 829. Factor u(b).\nAnswer: 5*(b - 1)*(11*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16738, 33478, 50218, 66958?\nAnswer: 83698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5 + 7 + 20\/2. Solve 0 = -4*b - p + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-6)*t*t**(1\/2))\/((t*t\/(((((t\/t**3)\/t)\/t)\/t)\/t)*t*t*t)\/t**2)*(t**(-1\/4)*t\/((t**(-2\/13)*t*t)\/t)*t)**(-32) assuming t is positive.\nAnswer: t**(-1103\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 4 = 5*l, 2*l + 91*t + 11 = 94*t for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*s + 449*s + 2723*s.\nAnswer: 3524*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 0*a + 1 - 2 - 3*a - a. Calculate g(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74101363 is divided by 33.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*g**2*i**5 - 8*g**2*i**2 + 2*g*i - 30257*i**6 + 5420*i wrt i?\nAnswer: -180*g**2*i**2 - 3630840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -20 + 12 + k + 6 as i + c*k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -638 (base 9) to base 13\nAnswer: -311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*c + 414, c + 696 = -5*o - c. Let t = o + -561. Let m = 1204 + t. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -165342 or -165340?\nAnswer: -165340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2190842160.\nAnswer: 2, 3, 5, 13, 702193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3959 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/7 and -25\/84361?\nAnswer: 590527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**(-30))\/k*k**(-2\/25))\/(k*k**(-16))**(4\/27) assuming k is positive.\nAnswer: k**(7232\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8\/7*o**3 - 2\/7 - 12\/7*o - 18\/7*o**2 = 0 for o.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7533610 (base 8) in base 15?\nAnswer: -29b6e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 p, 1 l, and 1 j when four letters picked without replacement from {p: 6, j: 3, y: 2, u: 2, l: 2, x: 3}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 149 - 143. Suppose -z + 15 = a. What is the remainder when 17 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4524280 + 4524280 + 11*f.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 101836417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of -y**6\/2 - 3*y**5 - 15*y**4\/2 - 10*y**3 - 15*y**2\/2 - 3*y - 2. Factor s(o).\nAnswer: -3*(o + 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2270238432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + -2 - (-61 + 56). Put -1, -1.1, 1, r in decreasing order.\nAnswer: r, 1, -1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4370143559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.023 times -2.9354\nAnswer: -0.0675142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14229*c**4 + 2105*c wrt c.\nAnswer: -170748*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:45 AM and 12:28 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**2. Let q(p) = -26*p**2 - 11*p. Let c be 6*4\/(-8) + 16. Let a(j) = c*j + 11*j + 5*j**2 - 22*j. Let b(v) = -11*a(v) - 2*q(v). Give m(b(d)).\nAnswer: 18*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128 - -216. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-5\/7)\/((y\/((y*y\/(y\/((y\/y**(-8))\/y)))\/y))\/y)*(y**(1\/3))**(-3\/10) assuming y is positive.\nAnswer: y**(503\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12114386 or 24228771\/2?\nAnswer: 12114386","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -119c + -2a?\nAnswer: -11c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 10:06 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-5)\/30)\/((-1)\/30). Suppose 2111 = l*d + c, -9*c = 2*d - 4*c - 849. List the prime factors of d.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.031, 1\/4 in ascending order.\nAnswer: -1, 0.031, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2829978 and 228906?\nAnswer: 1458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -64*b - 9. Let y be h(7). Let o be y\/(-13) + 6\/(-39). Let j = -5 + o. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 48, 18, -46, -156, -324, -562?\nAnswer: -882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + w = -566 - 328, 2*l - 348 = -2*w. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of (2068\/(-376))\/((-1)\/558)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 0 + 0)*((3*g - 3*g + g)*(-2*g - 2 + 2) - 39*g**2 - 6*g + 6*g) as l + k*g + u*g**2 and give u.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*l + l. Let h = l - -32. Is 9 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0468 and 0.5.\nAnswer: -0.0234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3516 and 9022935.\nAnswer: 879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 5*u = 10, 110 - 114 = -u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 divided by -1018.\nAnswer: -36\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - 2)*(-12)\/6. Suppose -q - g = -5. Suppose -q*d + 7*d = 0. Solve d = -5*w, -w - 3*w = 3*h - 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6595428 - 0.03024\nAnswer: 6595427.96976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 113, 381, 901, 1757, 3033, 4813?\nAnswer: 7181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c + 2. Let m be a(-3). Let r be (-3)\/4*(-12300)\/(-1271) - -7. Which is smaller: r or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/7 - 201*x**3\/7 + 55901*x**2\/7 - 27900*x\/7 = 0. Calculate x.\nAnswer: -225, 0, 1\/2, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9431614, 5, 11, 4, -3 in ascending order.\nAnswer: -9431614, -3, 4, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (10296\/(-45))\/(-8) + 3\/(-5). Let v = g - -132. Is v a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*a, 2*n + 2*a = -2*n + 1094. Let c = -143 + n. Calculate the remainder when c is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 16, 6\/59, 4, -13, -1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001083196 to seven dps.\nAnswer: -0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -813*p - 2677*p - 1221*p.\nAnswer: -4711*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 1.6, 0.03?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7634 and 3267?\nAnswer: 2267298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 431 - 151 = 45*o - 530 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*y + 4611 = 1315 + 1281 - 3533 for y.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*h - 20 = 10*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + u - 21 = 3*u, l + u = 0. Suppose -c + 13 = w + l*w, -5*w + 18 = 3*c. Suppose -3*k = -c - 23. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-6))\/(28\/48).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -22*-2*(-52)\/96. Let t = i - -24. What is the third biggest value in -0.03, -0.4, t?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4 (b) -4\/7 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*m - 4 = 25*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7609710 by -510.\nAnswer: -14921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 6 - (-81 + 81).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 0*k + 34*k - 3*k + 3*k - 39*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -192607\/18 + 10697. What is the common denominator of u and 8\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.011 - -0.843. Let a = -15.04 - -16. Let d = a - y. Round d to two decimal places.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1)\/134*1*(0 - (-492)\/150) and 13\/20?\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 2*r + 26, 5*m - 18 = 3*r + 19. Let z be 20 + (-5)\/(15\/r). Solve 0 = 4*o - z + 3 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -39, -2, 3\/7, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from mhmhhhhmhmhmmhmmhmm?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 341 - 690 + 349 + 13*x. Let k(w) = -5*w**2 + 5*w**2 - 4*w**2. Give i(k(z)).\nAnswer: -52*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -15. Suppose 2*h + 16 = x*h. Calculate the smallest common multiple of 1 and h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4521827?\nAnswer: 4521827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, -3, 3\/4, 22\/19 in descending order.\nAnswer: 22\/19, 3\/4, -3, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10260278.85800061 - 10260279. Let i = -174 - -173.858. Let u = a - i. Round u to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021303 (base 4) to base 16.\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -100, -116, -110, -70, 16?\n\"Answer: 2*g**3 - g**2 - 27*g - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(36))\/sqrt(8) - ((sqrt(315) + (sqrt(315) + (sqrt(315) - (sqrt(315) + sqrt(315)*1) - sqrt(315)) - sqrt(315)))\/sqrt(9))\/sqrt(7).\nAnswer: 3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3684 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 6*d**2 + 16*d + 13. What is z(-8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u - 8*u + 12*u**3 + 3*u to the form n*u + y*u**3 + t + r*u**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 102613200229 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k - 2 - 4*k + 0 + (-1 - 5 + 0)*(3 + 3*k - 3) + 0*k - 2*k + 0*k to the form q*k + u and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Let t = -1 + n. Let i be 1 - (0 + -16) - (-10 - -12). Solve 0 = 5*y - i, 4*r + 12 - t = y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -449826*h - 449814*h + 899649*h.\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30708 - 30595. Calculate the remainder when 1351 is divided by d.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 38783319?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a - 11*a - 2028*a**3 + 1209*a**3 + 824*a**3.\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 - 2*i + 6. Let r be (-5)\/(-25) - 26\/5. Let c = 6 + r. Let q(f) = f**2 + 1. Give c*h(z) - 5*q(z).\nAnswer: -2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 9639.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -70, 6 in decreasing order.\nAnswer: 6, 1, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-286)\/(-55))\/((-2)\/(-20)). Let s = -5 + l. Suppose -u + 6 = u, 0 = -2*m - 5*u + s. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 684 divide 1634872176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*z + (-2 - 1 + 1)*(0 + 0 - 2*z) + 9*z + 4*z + 30*z - 2*z + 0*z - 2*z.\nAnswer: 41*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 7.8, 3\/5, 10, -3\/4, -5, -0.55?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000116651139 to 6 decimal places.\nAnswer: -0.000117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 14, -5, 2 in increasing order.\nAnswer: -5, 2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + s)*(-19 - 12 - 1) to w*s + k and give w.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -365323\/11 - -33338. Let x = z + -127. Let h = 3 + -3.3. Which is the biggest value? (a) 1\/2 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 5:01 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (1 - (2 + 0)). Let d be 1*2*(-2)\/8. Which is bigger: s or d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6713 or -6706?\nAnswer: -6713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2*u**2 - 4)*(0 + 0 - 4) + 3*u**2 - 3*u**2 - 2*u**2 + (-15 + 4 - 4)*(2*u**2 - 2 + 2) in the form y*u + j + s*u**2 and give s.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 7 - (0 + -19 + 16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37363.\nAnswer: 37363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 + 2*n + 3. Let c be y(-2). Let d = -35 + 36. Let o = -67 + 67. Sort d, o, c.\nAnswer: o, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2223.\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 294?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(((i*i**(1\/12))\/i)\/i)))**(1\/9)*(i*i**14)\/i**(1\/3) assuming i is positive.\nAnswer: i**(1573\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 0*b + 0*b**4 - 1\/42*b**8 - 26*b**2 + 0 + 11\/60*b**5 + 0*b**6 + 0*b**7 + 0*b**3. What is the third derivative of i(n) wrt n?\nAnswer: -480*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16695)\/135 + (-14)\/6. Let l be (-762)\/4*2*2\/6. Which is greater: h or l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qm when two letters picked without replacement from {q: 1, m: 1, h: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 10*r - 5. Let j be a(1). Suppose 26 = 2*z + 4*u, -5*u + j + 0 = -3*z. Solve 2*q = -3*q + z for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82045 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4996*a - 7847 = -5129*a for a.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b + 10. Let m be 152\/6 + b\/6. Suppose -4*o + 16 = -0*o. Solve -m = -o*k - k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61310*g**3 + 2*g - 3225?\nAnswer: 367860*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((562628\/304)\/(-673))\/((-1)\/(-6)*(-63)\/24)\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -8.49685 from -55.184.\nAnswer: -46.68715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41 or -2098.29?\nAnswer: -41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 87\/116*8\/(-21). Let c = -0.62 - -0.52. What is the closest to 0.1 in c, i, -3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655714963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-2 + 1) - -2. Let j be 2\/4 - 3*6\/36. Let c(s) = 0 + s - 3*s**2 + 5 + s**3 - 2 + j. What is c(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 101 - 101. Suppose x = 9*j - 4*j - 10. Solve -2 = d + 5*r + 1, -j*d = 5*r + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-15))**(-2\/5) assuming d is positive.\nAnswer: d**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 1)*(-14)\/(-28). Let g(a) = -a**2 + 3*a + 2. What is the lowest common multiple of g(o) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.5338 and 0.192.\nAnswer: -5.3418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1041)\/(-9) - 4\/(-3). What is the first derivative of 7*f**4 - 3 - p*f + 1 + 117*f wrt f?\nAnswer: 28*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 124*s**2*v**3*y**2 - s**2*v*y**2 - 220*s**2*v + 3*v**3*y**2 wrt v?\nAnswer: 744*s**2*v*y**2 + 18*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 + 14*b**2 + 4*b + 23. Let f be u(-13). Find the third derivative of g + 94*g**5 + f*g**2 - 6714*g**2 - 3*g wrt g.\nAnswer: 5640*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0 - 3 - 5\/(-1). Suppose -g*p + 3 - 1 = 0, -3*t + p = -65. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5191*-0.1\nAnswer: -0.05191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 894 + -965.8. Let a = -13.8 - b. Let v = 57.99999953 - a. What is v rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14780489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/(-6) + -33 + 36 + 3?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25.8 or -357784?\nAnswer: 25.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 2:54 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -246655.79627 rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5*49\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of 8*a**5\/5 + 73*a**4\/24 - 146*a**2. What is the second derivative of m(r) wrt r?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*f + 354 = -f, b - 3*f - 122 = 0. List the prime factors of b.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(36\/27*6\/(-4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*r - 20. Let g(p) = -4*p**2 - p. Give g(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16638170 divided by -58.\nAnswer: -286865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 37 + o + 0 + 12 + (-5 + 2 - 2)*(-o - o + o) as a + i*o and give a.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1897, -1895, -1893, -1891, -1889?\nAnswer: -1887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/(28\/12) + 13. Let w be (-14 - 1)\/((-3)\/22). Calculate the highest common divisor of a and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1*(-2)\/(-4)*2. Suppose -b + 2*a - t - 4 = 0, -3*a + 8 = -2*b. Let x = 2.9 + 0.1. What is the second biggest value in 0.1, x, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x**2 + 20*x. Let g(k) = k**2 - 3*k. Determine 20*g(z) + 3*h(z).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r + 0*r - 2*r)*(0 + 0 - 1) - 8 + 4*r + 8 + (1 + 0 + 1)*(2*r - 2*r - r) in the form t*r + w and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 3*j**2 - j - 1. Let y be x(-5). Calculate the greatest common factor of 27 and y.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -6731.3 (b) -2\/3 (c) 0.04 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o. Let f(l) be the third derivative of 0 + 0*l + 1\/6*l**3 - 3\/2*l**4 + 18*l**2. What is q(f(v))?\nAnswer: 36*v - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -741 + 1250. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2161295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -216 - 97?\nAnswer: -2b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 (base 7) in base 8?\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130333312 + -223?\nAnswer: -131000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(2 + -2 + -1). Let l be 385\/91 - 1860\/(-2418). Solve 0 = -l*x - z*x + 2*k + 13, -10 = -3*x - k for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -607320 by -22.\nAnswer: 303660\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 10*n**2 + 6*n - 5. Give b(10).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 153?\nAnswer: -76.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/3)*g)\/(((g*g**(3\/13)\/g)\/g)\/g) assuming g is positive.\nAnswer: g**(173\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3867258 and 862482.\nAnswer: 119884998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*v - 19*z - 144 = 63*v, -23*v + z - 84 = -0*z for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d = -11 + 35 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106400, -107205, -108010?\nAnswer: -108815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001429602 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(121) - (sqrt(121) + (sqrt(121)*-2 - sqrt(121))*5)) + sqrt(121))\/(sqrt(11) - (sqrt(275) + 2*sqrt(275)) - sqrt(11)).\nAnswer: -16*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13167935 and 440.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + (27 - 32) + 9.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -c**2 - 50*c + 17. Let g be r(-25). Solve 3*d - 3 = -18, g = -3*n + 4*d + 35 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/((-22)\/(-6) + -3). Let w = -7 - -11. Suppose w*k + 13 - 125 = -2*m, m + 64 = 2*k. What is the highest common factor of k and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1677 and 11973.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 + 0.9. Let l = 0.2 - u. Which is the biggest value? (a) -0.4 (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19085 - 18653. What is the highest common divisor of g and 3618?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 PM and 12:37 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 9*g**2 + 10*g. Let k be n(6). Let a = 55 + k. What are the prime factors of a*(-2 - -24 - 15\/5)?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 greater than -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/2 - 70188*y + 280760.\nAnswer: -(y - 4)*(y + 140380)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -ee (base 16) in base 12?\nAnswer: -17a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43901, -43903, -43905?\nAnswer: -43907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*j + 4*f - 16 = 0, -j + 316*f - 321*f = 6 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 63056 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 62? (a) 107 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a63 - -6660?\nAnswer: 8613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-8 + 4) - 11\/22.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -9. Let g(z) = z**2 + 15*z + 21. What is the remainder when g(-16) is divided by (-448)\/(-44) + h\/(-22)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 3 + 9 - 8)*(1 - 3 - 1).\nAnswer: 3*h + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 35420297, 70840593, 106260889, 141681185, 177101481, 212521777?\n\"Answer: 35420296*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 547527.\nAnswer: 2190108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 0 - 1 - (-10 + 13)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11019*p**6 - 2*p**2 + 35921*p wrt p?\nAnswer: -1322280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12, 20, 34, 54?\n\"Answer: 3*f**2 - f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*80.6.\nAnswer: 8.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002203031 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*i = 12. Let x = 0.26 - 9.26. Let z = x - -9. What is the closest to z in i, 2.6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggggg. What is prob of picking 3 g?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80138.6 + -55282.3. Let h = z + -24856.559706. Let t = 0.26 + h. What is t rounded to 5 decimal places?\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 - 31. Suppose -2*n + 9 = -5*d + 3, 0 = -2*d - 4*n + 12. Calculate the smallest common multiple of 18 and f - (3 + d + -7).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-402)\/(-33) + (-10)\/55. Solve 4*k + 2*y + 0 = 26, -2*k + 4*y = q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -11. Let b be 19\/(-4) - 12\/l. Let o = b - -6. Solve o*u + 2*u + 16 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(27)\/(sqrt(729) + 2*sqrt(729) + sqrt(729)).\nAnswer: sqrt(3)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0161042m to centimeters.\nAnswer: 1.61042","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, h: 2, a: 1, z: 2, k: 4}. What is prob of picking 2 i and 2 z?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 1176*z + 8207. Determine l(-7).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 - (1 + (-5 - -5))*34\/(-17). Let q(b) = -1. Let r = 8 + -2. Let s(x) = x**3 + 5*x**2 + x - 5. Let m(c) = r*q(c) - s(c). What is m(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in four sevenths of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.031264641 to 4 dps.\nAnswer: 0.0313","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 1)*(-f**4 + f**4 + f**4) + (13*f - 10*f**2 - 13*f)*(f**2 - 2*f**2 + 3*f**2) in the form u + g*f**4 + w*f**2 + d*f**3 + l*f and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(-21))\/((-2)\/(-96)). Let n = j + 146. Suppose 2*w - 13 = -3*f + 54, 5*w = -2*f + n. What is the remainder when 126 is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 c, 1 q, and 1 v when four letters picked without replacement from jqeqqcvqezjcqjqqqqcv.\nAnswer: 18\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19735 - -19730.711. Round d to one decimal place.\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8267985 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: Solve 2*f**4 - 84*f**3 + f**4 - 480*f - 198 + 126*f**2 - 954 + 129*f**3 = 0 for f.\nAnswer: -8, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t**2 - 167*t - 615. Calculate u(30).\nAnswer: -1125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 69.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 1.3. Let i = 0.9 + j. Suppose -z + 5*w = 20, 2*z - w + 0*w = -4. Is z greater than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltlltllltltltltlg. Give prob of picking 3 t and 1 l.\nAnswer: 10\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + 2*1*sqrt(133) + sqrt(133))\/(2*sqrt(7)*3) - (-1*sqrt(152)*-4)\/((sqrt(96) + sqrt(96)*1)\/sqrt(12)).\nAnswer: -4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1 = 9. Let u(i) = -i**2 + i + 10. Let d be u(0). Suppose 5*r + d - a = 4*j, 2*j + 3*r = 4. What is the least common multiple of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -4*l**3 + 24*l**2 - 48*l - 96. Let w(t) = t**3 - 8*t**2 + 16*t + 32. Let i(z) = 5*c(z) + 16*w(z). Suppose i(o) = 0. Calculate o.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 57?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 + 0)*(-9*i**2 + 7*i**2 - 49*i**2) - 51 + 267*i**2 + 51 to the form b*i + k*i**2 + f and give k.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of 0 - 1\/12*o**5 + o**3 - 1\/120*o**6 - 2*o**2 + 0*o + 5\/24*o**4. Is q(-6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 9*u - 8 = 10*u, 2 = -5*v - 3*u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 19*q - 1496. Does 38 divide 1*(118\/8)\/(4\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hyb when three letters picked without replacement from hqbccfhbyhc.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 119 and 0.1140024?\nAnswer: 118.8859976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64127 at least 64130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 1 + 0)*(-r**2 + r**2 + 2*r**3) - r**3 + 0*r**3 + 0*r**3)*(94 - 107 - 172).\nAnswer: 925*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 124947.\nAnswer: 49978.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -155*r - 166*r - 14 + 321*r - 1064*r**2 as s*r**2 + x + a*r and give s.\nAnswer: -1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 3:39 PM?\nAnswer: 3:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 + 300*x - 620.\nAnswer: 5*(x - 2)*(x + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 151*t**2 + 2202*t + 14920. Give u(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 91 in 3, -2\/41, 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-5))\/(-2))\/((-18)\/(-6))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -5*x - 2*q, -4*x = -0*x - 4*q + 28 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 2:38 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7047112 divided by -1?\nAnswer: 7047112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) -1\/4 (c) 0.1 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-11))\/(34155\/41745)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 8*n**2 + n + 17. Suppose 0 = 4*w - v - 1216, 626 = -2*w + 4*w - 5*v. What is the least common multiple of x(-8) and w?\nAnswer: 909","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*d = -12, 2*j - 6*d = -d + 27. Let z(u) = -u**3 - 4*u**2 + 3*u - 7. Let b be z(-5). Solve -p = -j*p - b*i - 15, 0 = -i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 13023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 46\/8 + 2\/8. Let j(d) = 11*d**2 + 13*d - 15. Let c(o) = -69*o + 5*o**2 - 7 + 140*o - 65*o. What is l*j(h) - 13*c(h)?\nAnswer: h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 833.7718 micrograms in tonnes?\nAnswer: 0.0000000008337718","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 415 + -5393\/13. Let s = -6 - 2. Let z = -7.5 - s. What is the biggest value in z, 4, g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 5) + ((-1)\/(-4) - -4)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.3, -156, 3\/5, 3 in ascending order.\nAnswer: -156, 3\/5, 2.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(11))**2*-6*-3 - (1*(sqrt(40)*1 - sqrt(40)))\/(-3*sqrt(32)).\nAnswer: 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (24\/8)\/(15\/10). Find the third derivative of -a**2 + 5*a**b + 146*a**3 - 289*a**3 + 11*a wrt a.\nAnswer: -858","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21 and -2390850?\nAnswer: 50207850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 40\/2 + 3 + -3. Suppose -q = j + 17, 3*q = -2*j - 45 - 4. Let t = q + f. Solve -3*b - 2 = -t*v, 2*b - 4*b - 12 = 2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10250.6 to the nearest one hundred.\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**3 + 5*p**2 + 3*p + 1. Let f = -18 + 16. Let v be d(f). Round v to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4934480527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 46 = -290. Calculate the highest common factor of i and 672.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2 + 29*r + 11*r**2 - 11*r - 13*r**2. Let u = 533 - 525. Calculate the smallest common multiple of w(u) and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 15*26\/260*((-8)\/18)\/1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = -1 + 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 4 (c) 1102 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 10*b = 46. Calculate the remainder when 160 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, x: 2, h: 4, v: 2, i: 1, g: 1}. Give prob of sequence vgv.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 947339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddddcddddcddddcddcd. Give prob of picking 3 c.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.14528 and -11?\nAnswer: 1.59808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 18, 19, 20, 21?\n\"Answer: z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(sqrt(72) - (sqrt(72) + -1 + sqrt(72) + 1)) - (2*sqrt(72)*-1 - (sqrt(72) - (sqrt(72) + 1 + sqrt(72) + 5))))**2.\nAnswer: 720*sqrt(2) + 3672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229\/2*q**4 + 114*q**3 + 1\/2*q**5 + 0*q + 0*q**2 + 0 = 0.\nAnswer: -228, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1619*c**2*g + 1869*c**2*n**2 + 1073407*c*n**2 - 2*g*n**2 - n**2 wrt c.\nAnswer: 3238*g + 3738*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0 + (2 + 1 - 5)*(3 - 4 - 2))*(-2*s**2 - 3*s**2 + 7*s**2 + (-s - 3*s + 2*s)*(-2*s + 3 - 3) - 2*s**2 - 4 + 4 + 1 + 2*s**2 - 1 - 12 + 6*s**2 + 12).\nAnswer: 96*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 540 - 341. Let s = -12 - -14. Suppose 210 = 5*x - s*w, 0 = 7*x - 3*x - 4*w - 180. Calculate the remainder when d is divided by x.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 134834127964092 - 12*m - 134834127964092.\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -92*k**2 + 11*k. Let i(m) = -138*m**2 + 17*m. Give -8*c(w) + 5*i(w).\nAnswer: 46*w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 - 3. Let j(q) = 2*q**2 + 2. Let b(l) = l**2 + 4*l - 4. Let w be b(-4). Let k be w\/(-10) - (-34)\/(-10). Give k*g(m) - 4*j(m).\nAnswer: -2*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of x**7\/14 - x**3\/3 - 14*x**2. What is the derivative of g(p) wrt p?\nAnswer: 60*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -118 + -1280230?\nAnswer: -1280348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c + 3*c + 2*c + (2*c + c - 5*c)*(1 + 1 + 0) - 3*c + 4*c + 4*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/(-728))\/(464\/84*-3).\nAnswer: 2\/377","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6305248336.\nAnswer: 2, 23, 744949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -10*j**2\/19 - 65338*j\/19 - 443836\/19 = 0.\nAnswer: -6527, -34\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 5\/(15\/12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -160\/553, 1\/2, -14.22?\nAnswer: -160\/553","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 50*x**3 - 8*x**2 + 8*x - 8. Let m(i) = 17*i**3 - 3*i**2 + 3*i - 3. Let j(k) = -3*f(k) + 8*m(k). Let p(s) = -13*s**3. Determine -5*j(g) + 6*p(g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 10:54 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ba5 (base 12) to base 11.\nAnswer: 3976","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 5*w**2 - w. Let h = -5 + 4. Let o = h - -18. What is the remainder when o is divided by v(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 466848711?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37133145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9024 is divided by 2187.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25144, -33210, -41274, -49336, -57396, -65454?\nAnswer: -73510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -15746?\nAnswer: 15752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.09 - -7. Let f = t - -0.090002. What is f rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2275104 and 4992?\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 + (-15)\/(-12))*11\/(165\/547980) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m + 3*m + 32. Let g = m + 10. What is the remainder when 3 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202241?\nAnswer: 13, 47, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 3*l. Determine p(-4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -134 + 120.4. Let x = -21.2 + n. Let m = x + 35. Which is smaller: 0.4 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4) + 85\/(-90). What is the third smallest value in -5, 0.3, 3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/5? (a) -0.4 (b) 1\/5 (c) 118667 (d) 1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 6) + (-1 - -2) + 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -6\/5814619?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4 - 16 = 0. Let b(p) = 6*p + 5. What is the tens digit of b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -38 - -10 - (2 - 2).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 360 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 391009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from bkaaa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17)\/136*(-2)\/(-3)*((-1380)\/(-23))\/20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 166455 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31087, 62176, 93265?\nAnswer: 124354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5438*c**4 - 9073*c**3 + 624639741*c.\nAnswer: -65256*c**2 - 54438*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -531 = -1872*h + 1813*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-2*4\/48*-21. Let n be l*(-1)\/((-21)\/18). What is the greatest common factor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 - 14*w**2 - 8*w - 3. Let s be j(-6). Let n = 29 + s. Let c(u) = u**2 - 2*u - 1. Determine c(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 7*y**2 + 7*y - 2. Suppose -4*f - 1024 = -2*l, f + 5*l + 254 + 24 = 0. Let z = 268 + f. What is the remainder when q(7) is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418176162 is divided by 764?\nAnswer: 762","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-5))\/q**(1\/9)*q**9*q**(-12)*q assuming q is positive.\nAnswer: q**(35\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -3 - (-4 + (3 - -16) + 24).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) 2\/13 (c) 9 (d) -2.07 (e) -3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508 = -129*h + 3654 + 1111 for h.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from exeqqqyeequqqe.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*h)*(2*h + 12*h - 3*h) + (2 - 1 + 3*h - 5*h)*(-3*h - 2 + 2).\nAnswer: -16*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000007926 rounded to seven decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/7 + 2713*y**3\/7 - 90855*y**2\/7 - 618489*y\/7 - 964440\/7 = 0. What is y?\nAnswer: -3, 40, 2679","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.31 - 42.53\nAnswer: -43.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**4 - 49604842*q**3 - 2*q**2 - 280058591.\nAnswer: -8*q**3 - 148814526*q**2 - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 take away -0.002089?\nAnswer: -0.017911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.383 and 1.\nAnswer: -2.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {u: 16, a: 4}?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 61551878860 - 3\nAnswer: 61551878857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00105854 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28308737\/819 - -34565. Let a(i) = i - 3. Let j be a(4). Which is smaller: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -5*f**4\/12 + 5*f**3\/6 + 7*f**2\/2 - 2*f. Let a(t) = -6*t**2 + 6*t + 8. Let o(w) = 6*a(w) - 7*q(w). Calculate o(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21300001 (base 5) to base 12.\nAnswer: -88a83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, n: 4}. Give prob of picking 3 n.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.004 - 3.096. Let x = 13.9 - l. Let a = x + -16.9999915. Round a to six dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = 4*b, 7 - 2 = 3*b - 4*j for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l - 5. Let d(v) = v**3 - 5*v**2 + v + 2. Let a be d(4). Let o be f(a). Suppose -o*z + 9 = -2*z. Solve -4*u + 2*h = -z*h + 4, -h = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/((-25)\/15 - -1). Let y be 406\/g + 3\/9. Let w = -70 - y. What are the prime factors of w?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(((4 - 4) + 1)*-1). Let v = -1.3 - -0.3. What is the closest to v in -4, b, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -214 in -1\/2, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 o, and 1 q when four letters picked without replacement from oqpvoqqovqvq?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - ((-4)\/(-10))\/(2\/5). Let n(w) = 23*w**2 - 7*w - 5. What is the hundreds digit of n(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + r**2 + 1. Let a be h(1). Let t be 6\/((-5)\/(163750000\/a)). Round t to the nearest 1000000.\nAnswer: -66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = 5*w - 3*y + 40, -4*w - 2*y - 7865 = -7855 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -32 in decreasing order.\nAnswer: 2, 0, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4544517697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-51*q**4 - 117*q**3 + 117*q**3)*(0 + 0 + 2) + (-3*q**3 + 4*q**3 + q**3)*(4*q + q + q) to the form h*q**3 + m + y*q**4 + p*q + a*q**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2045*g**5 - 2518*g.\nAnswer: 40900*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1261, -1628, -2231, -3064, -4121, -5396, -6883?\n\"Answer: z**3 - 124*z**2 - 2*z - 1136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15 and 30875?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/2 - 4463*k**3\/2 + 38135*k**2 + 246400*k = 0.\nAnswer: -4480, -5, 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10907 - 4134. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -63113441, -63113443, -63113455, -63113483, -63113533, -63113611, -63113723?\n\"Answer: -d**3 + d**2 + 2*d - 63113443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 16 = i, -2*i + 3828 = -2*o + 3868 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2690940 a multiple of 447?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0 - 10. Let d(z) = z. Let t(s) = s**3 - 5*s**2 + 2*s - 6. Let f be t(5). Let g be d(f). Solve 4*r + 3*i = -21, g*r + 22 = -4*i - u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9564?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 1.97\nAnswer: -7.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32\/119, 1, -1\/4, 2, 2\/11, -306.\nAnswer: -306, -1\/4, 2\/11, 32\/119, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37789 - 2418405\/64. What is the common denominator of -7\/1136 and z?\nAnswer: 4544","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) -3\/5 (c) 194 (d) 0.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(-2) - 5\/(-2). Suppose -z*q = -10 + 2. Is q even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5*q - 22. Suppose -2*c + 4*o = 4 + 6, 0 = c + 4*o + 5. Let z be k(c). Let h(i) = 20*i**2 + 4*i - 6. Is 31 a factor of h(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -69 + 109. Is (20\/s)\/(1885\/(-1886) - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)*q**9)\/((q*q*q**(-18)*q*q)\/q*q\/q**(-10)*q) assuming q is positive.\nAnswer: q**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 118954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 25*o - 265. Let z be (14*(-6)\/21)\/((-4)\/11). Calculate i(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 - i**3 + 0*i**3)*(-4 + 1 + 0 + (-3 + 5 - 4)*(0 - 2 + 4) - 3 + 3 + 1 + 2 - 4 + 5 + 0 - 3 + 2) + 4 - 4 - 3*i**3.\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-896)\/312 - (-12)\/(-26)?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.253 - 10.047. Let v = s + 4. Let y = 1.7 - v. Put y, -1, 5, -3 in ascending order.\nAnswer: -3, -1, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(2\/7))\/(u\/u**(4\/7)))\/(u**0\/(u\/u**(-1\/3))))\/(u**(1\/4)*u*u\/(u\/(u\/((u*u**5)\/u))))**26 assuming u is positive.\nAnswer: u**(3095\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48624807?\nAnswer: 3, 7, 11, 30071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -5122.\nAnswer: 7\/5122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -26*((-984)\/48 - (-38 - -21))\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/5? (a) -0.5 (b) -15 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-350)\/3*(-9)\/6. Let a = -108 + v. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5 + -1*sqrt(1377) + sqrt(1377) - (sqrt(1377) + -1*(1 + sqrt(1377) + sqrt(1377))) - (sqrt(1377) + sqrt(1377) + -1 + sqrt(1377) + -5)*-4)**2.\nAnswer: -1398222 + 25272*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2\/36)\/(1\/142) and 43\/10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 6. Let k = 40 - 40. Let g be -1*(-5 - -7)\/(-1 + -1). Which is the third smallest value? (a) g (b) v (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -955349 divided by -204.\nAnswer: 56197\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7208 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 0, 14, -1756, 3, 7 in decreasing order.\nAnswer: 14, 7, 4, 3, 2, 0, -1756","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.7 from -9152320187.\nAnswer: -9152320188.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 86*l**2 + 6*l + 3. Let y(k) = 172*k**2 + 12*k + 6. Let b(u) = 13*f(u) - 6*y(u). Is b(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 + 4*r - 17917. Give f(132).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a + 3. Let d be v(0). Suppose 13*o + 18 - 44 = 0. Suppose 2*u = z - 11, 2*z = o*u + 15 - 1. Solve 9 = -d*w + z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 46 + -2031?\nAnswer: -1a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q**4 - 1273954*q**3\/5 - 3269484*q**2\/5 - 1358712*q\/5 + 33968 = 0.\nAnswer: -21230, -2, -2\/3, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-13)*o**(-4\/13))\/(o**(-5)\/(o\/o**(-7))))**(2\/7) assuming o is positive.\nAnswer: o**(-8\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 379805 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ana when three letters picked without replacement from nacna?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 526922 and 29844617?\nAnswer: 6127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291*d - 3728 = -58*d for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 580, 551, 508, 451, 380, 295, 196?\n\"Answer: -7*z**2 - 8*z + 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r - 149 = 147 - 71 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 5*o + 2572, o = -81*y + 86*y - 3244. Calculate the least common multiple of 1134 and y.\nAnswer: 4536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34042225 + 288*n - 73*n + 34042225.\nAnswer: 215*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4572966 - -16?\nAnswer: -4572950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26649459 is divided by 73.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 6543 + 3327. Find the common denominator of ((7\/6)\/(-7))\/4 and ((-1)\/(-2))\/(693\/s).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48722859 to the power of 1\/2, to the nearest integer?\nAnswer: 6980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from rxtx.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4645101 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -105.094 - -105. Let y = -0.394 - j. Let b = -227\/35 + 31\/5. What is the biggest value in b, y, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + v + 3. Let w be s(0). Suppose 4*g = g. Suppose 0 = -t - g*t + 9. What is the greatest common factor of t and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -444 + 444. Solve r = m - 3*r + 18, y = -4*m + r + 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1922 - 5728 = -85*v. What are the prime factors of v?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9885.\nAnswer: 3, 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.003, -2, -0.1, 12, -1\/9.\nAnswer: -4, -2, -1\/9, -0.1, 0.003, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - 3*g + 5*g)*(0 + 52 + 35) to r + n*g and give n.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 13*k + 1 - 10*k)*(-24 - 25 + 45 + 8*k) + 2*k + 2*k**2 - 2*k + 2.\nAnswer: 26*k**2 + 4*k - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(95) - sqrt(95)*-1) + sqrt(95)))\/sqrt(5).\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of -40*x**4\/3 - 51*x**3 + 599*x**2. What is the derivative of u(i) wrt i?\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 4*q + 2. Let p be s(-3). Suppose u - p*u = -20. Solve -2*c + 5*x = -u*c + 1, 2*x = -5*c + 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 4*s - 14, 6*s - 6 = s + 2*w. Let b be (-3)\/s*25\/15. Let j be (-10)\/(-12)*(-144)\/(-720). What is the second smallest value in -0.5, j, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -113.0087 + 113. Let o = i - -0.006. Round o to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 1449 + 7759. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3200))**2.\nAnswer: 28800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 23*d**2 + 130*d + 139. Let z be a(-5). Solve 28 = 5*b + p, 2*b + 2*p = 80 - z for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*6*(sqrt(136)*-3 + sqrt(136))*2)\/(-2*(((sqrt(32)\/sqrt(4) - sqrt(8)) + sqrt(8))*-5 + (sqrt(1152) - sqrt(1152)*-1))).\nAnswer: 72*sqrt(17)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*c = -25, -2*c = 9 + 1. Solve 3*b - 18 = 4*w, w + b = -i*w - 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (160\/24 + -5)\/(-2 + 161\/84).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 75\/30*7\/(2380\/(-16))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 378.\nAnswer: -4536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-14)\/q**13)**14*((q**(-1))**(11\/5))**(-42) assuming q is positive.\nAnswer: q**(-1428\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 8\/25 of a milligram?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -151, -224, -297?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11071, -22140, -33209?\n\"Answer: -11069*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.049273? (a) 3 (b) -32 (c) -4 (d) 0.5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - h = -4. Let n(j) = 16*j**3 + 14*j**2 + 31*j + 4. Let w(b) = -3*b**3 - 3*b**2 - 6*b - 1. Let o(a) = h*n(a) - 11*w(a). Calculate o(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**5 - 122*u**3 - u**2 - 25.\nAnswer: -60*u**2 - 732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 12) in base 15?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 39*r + 3. Suppose 0 = q - 2*o + 7 + 1, -3*q - 35 = 5*o. List the prime factors of h(q).\nAnswer: 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 31 + (5 + -3 - 0). Suppose -5*k = 12 + t. Let n be (-1)\/7 + k\/(-21). What is the biggest value in n, 2, 2\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006415 to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 16*c + 20. Suppose -12 + 0 = d. Let o be (d\/(-10))\/((-30)\/400). Does 11 divide w(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 + -9. Let q(u) = -u**2 + 8*u - 5. Is q(w) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + (6 - (8 - 26 - 1))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 626, 868, 1110, 1352?\n\"Answer: 242*f + 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 + 53?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*s**5 - 65*s**3 - 686*s?\nAnswer: 260*s**3 - 390*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11121 - -21001001122?\nAnswer: 21001020020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 512596540*c - 512596544.\nAnswer: 4*(c - 128149136)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8 + 12*z - 9*z + 6 + 2*z wrt z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(27\/(-72)*(-2)\/(-3)) + -3. Which is the nearest to h? (a) -1 (b) -2\/3 (c) 0.39\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5728, -5721, -5714, -5707, -5700?\n\"Answer: 7*t - 5735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-49))**(2\/17)*(x**(-3\/4)\/(x\/x**4))**(-30\/7) assuming x is positive.\nAnswer: x**(-3667\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/161182 and -85\/5558.\nAnswer: 161182","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 18648012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 160744000 and 31808.\nAnswer: 1125208000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 142*s*t*w - 280579*s*t + 2*t*w - t - 12*w + 10905 wrt s?\nAnswer: 142*t*w - 280579*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.3 (b) 2\/9 (c) -4 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 8 = -2*v. Let s be (-3)\/(-10) + (-4)\/v. Let c(j) = -j**3 - 5*j**2 + 6*j + 1. Let r be c(-6). Which is greater: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 166.912 + -32.89. Let k = 134 - c. Let z(i) = i**3 - 9*i**2 - 10*i. Let m be z(10). Which is greater: m or k?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h**3 + 111 - 111 - 14*h**2)*(2 + 2 - 2)*(0 + h + 0)*(2 - 6 + 2) to i*h + o*h**2 + m*h**3 + x + s*h**4 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -8*z**2 - 18*z - 7. Let q be h(-4). Let p = 59 + q. Let d(i) = i**3 + 3*i**2 - 9*i + 3. Is d(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*q**2 - 471*q**2 - 6 + 119 - 113.\nAnswer: -450*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of r**6\/10 - r**5\/30 - 25*r**4\/24 + 3*r**2 + 62. Find the third derivative of a(l) wrt l.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.79 and 0.127453.\nAnswer: -0.662547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -58 + -3?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1592789?\nAnswer: 11, 19, 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*o + 3615 - 3675 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(-33))\/((-4)\/(-6)) + -2.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**2 + 5*k - 5*k**2 - 6 + k**2. Let h be a(-6). Suppose -4*v + 75 = -5. Solve h = f + 4*f + v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -86346 divided by -6?\nAnswer: 14391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 19*x + 4. Suppose a - 9 = 2*t - 4*t, a + 21 = 4*t. Let k(y) = 13*y + 3. What is t*g(p) - 7*k(p)?\nAnswer: 4*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 15 = 25*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44218694 to the nearest integer?\nAnswer: 6650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + -3)\/(7\/(-1155)). Let s(d) = d + 4. Let z be s(-3). What are the prime factors of ((z - a)*1)\/(-2)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 6*a - 1287*a**2.\nAnswer: -1287*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 110068289?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 26*g - 8579. Determine t(330).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 12 - (-28)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/10453 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2696422531416 + -2696428838599.400151. Let z = 6307186 + w. Let r = z + -2.6. Round r to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 162 by -54.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3.2 or 331\/1007?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -63 - -65. Let n(i) = -5*i - 40. Let t be n(-11). Let v be t\/5 - 0*f\/4. Solve v*u + 12 + 0 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - 1 + 1 + (-3*o**3 + 5*o**4 + 3*o**3)*(-2 + 1 + 0) - 2*o**4 - 4*o**4 + 4*o**4.\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/62 and -71\/20?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 4. Let k(n) = -n. Let c(f) = 3*k(f) + w(f). Let x(z) = -13*z + 7. Let v(b) = b - 1. Let j(q) = -22*v(q) - 2*x(q). Give 5*c(s) + 3*j(s).\nAnswer: 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -5041210?\nAnswer: -5041203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 1525*f - 235 - 505*f - 503*f - 513*f + 3*f**2 as p*f + m + a*f**2 and give m.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**2 - 5*r + 14. Let a be g(5). Let t be a\/15 - -2*4\/20. Let y(q) = q**3 + 4*q**2 - q. Let s(i) = -2*i**3 - 7*i**2 + 2*i. What is t*s(k) + 5*y(k)?\nAnswer: -k**3 - k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -243, -181, -119, -57?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a - 20. Let u(v) = -v + 5. Give -2*k(r) - 9*u(r).\nAnswer: 3*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 7) in base 4?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 8*j**3 - 11*j**2 + 65*j - 898. Is 22 a factor of x(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11063 and 5088681?\nAnswer: 188281197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -3\/155 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3452603309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1140841840 rounded to the nearest 1000000?\nAnswer: -1141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = -q. Let z(j) = -7 + 6 + q. Let p(v) = v. Let n = 680 + -681. Determine n*z(c) + p(c).\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1711)\/1972 - (-2)\/17.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 41\/5 (b) 5 (c) 1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20827 and 22239?\nAnswer: 1312101","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 53, 3, -0.0381, -3 in descending order.\nAnswer: 53, 3, -0.0381, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 28 = 118. Let k(c) = -9*c + 2*c + c**2 - 3*c + b. Let y be k(10). Which is bigger: y or 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 4:33 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 535 and 0.1.\nAnswer: 53.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.19? (a) 4 (b) -2\/5 (c) 0.0514 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**3)**17\/(s**(-7\/4)*s**(-10)) assuming s is positive.\nAnswer: s**(251\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33663294769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -64457*u - 2578294. What is q(-40)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - q - q)*(51*q**3 + 182 + 2*q - 409 + 221).\nAnswer: -102*q**4 - 4*q**2 + 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 136*c = 79 + 193 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1407020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 180 = 18*k - 21*k, -2*v = k - 335. Suppose 80*g - v = 77*g. Calculate the highest common factor of 22 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 461 * -16.\nAnswer: -7376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of t**5\/100 + t**4\/2 + 10*t**3 - 20*t**2. Factor r(c).\nAnswer: 3*(c + 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1225\/4 + -302. Find the common denominator of (-887)\/18 + (-10)\/45 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 305 + 2056 = 3*t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*r + 11, -5*f + 111 = -3*r. What is the highest common factor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/((-1545)\/1648)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -131, -2, -4, -5, -11, 13 in descending order.\nAnswer: 13, -2, -4, -5, -11, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(4\/3)*20. Suppose -2*k + 110 = -12*k. Let c = k + g. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6249880*x - 32767287?\nAnswer: 6249880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -210*g**2 + 101*g?\nAnswer: -420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -5, 14, 1, -142.\nAnswer: -142, -5, 1, 3, 6, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*g + 4*g + 10*g - 8*g.\nAnswer: 56*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 520*z. Let j(w) = -5*w. Calculate q(j(b)).\nAnswer: -2600*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s + 1. Let y be r(1). Suppose y = -4*d - 0*d + 316. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -71 + 61. Let a(g) = 1603*g**3 + 3*g**2 + 3*g - 1. Is a(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35303 (base 11) in base 16?\nAnswer: c700","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 2122 = 4020 - 2054 for r.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 866 - 866.4. Which is the closest to -1? (a) p (b) -2\/13 (c) -5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-13)\/(-5) + (-882)\/1820)*(-16)\/(-84)\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9238, 9237, 9246, 9271, 9318, 9393, 9502, 9651?\n\"Answer: a**3 - a**2 - 5*a + 9243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 17 + 19 = 0. Let t be (-3 - -1)\/(2\/h). Is (-6)\/4*((-1628)\/t + 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 12 = -2*i. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*j - 3*f + 5, 3*j - 20 = -5*f. Let s be -2 - (0 - j) - 19. Find the common denominator of 66\/(-14)*s\/60 and -21\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12226521 (base 7) in base 9?\nAnswer: 2055300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 3*t + 291, 3*f - 4*f = t - 64. What is the remainder when f is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -f**8\/280 - f**7\/525 + f**6\/150 - 11*f**2\/2 + 5. Let i(l) be the second derivative of u(l). Solve i(t) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 241*q - 3 - 494*q + 244*q to the form w + m*q and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 11. Suppose 3 + 30 = 5*s - d, -4*d = -q. Does 3 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 157*t - 153*t - 12, -4*v = -3*t + 9. Solve -2*c + v*c = 8, 4*q - 3*c = 12 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-1404.3.\nAnswer: -2808.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 25 = 4*k + 4*p, -4*k + 8 = -p. Let i(w) = -w**k + 5*w**3 + 2 - 7 - 5*w**2 - 3*w**3. Calculate i(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 10:06 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -156 - -136. Let t be (-33)\/12 + (i\/16 - -2). What is the nearest to t in 5, 0, 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*u**3 + 2*u**3 + 9 - 3*u**3 - 9 + 2*u.\nAnswer: -u**3 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqq when three letters picked without replacement from cuqqqqqccqqqqqqq?\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 223*u - 18 = 221*u, 0 = u - 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of 18*x + 0*x**2 + 0*x**3 + 1\/84*x**7 - 1\/24*x**4 - 1\/40*x**5 + 0 + 1\/60*x**6. Factor p(b).\nAnswer: b**2*(b - 1)*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12 (b) -3 (c) -1 (d) 28 (e) 0 (f) -3\/5 (g) 1\/3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 t when three letters picked without replacement from ttptttpnptttttnnnt?\nAnswer: 11\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 24 = -3*z - a, a - 24 = -3*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + sqrt(448) + sqrt(448)*-1 + sqrt(448) + 0 - (sqrt(84)\/sqrt(108) + 5 + -2))**2.\nAnswer: -368*sqrt(7)\/3 + 4279\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 10:14 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z + 6. Let t be d(-9). Let f(j) be the third derivative of 1\/3*j**3 + 0 - 23*j**2 - 1\/24*j**4 + 0*j. Determine f(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29)\/((-435)\/30)*(2 + (-42)\/22).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkk. Give prob of picking 2 k.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 7 = 5*j. Suppose 4*m + 56 = 4*i, -7 - 25 = -j*i + m. Suppose -3*n - 2*y + i = -5*n, -3*n + 3 = 3*y. Let b(v) = v - 3. Give b(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75 + 44. Let p(r) = 23*r - 37. Let d be p(4). Let n = f + d. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -6*z**2 + 14*z + 14. Let j be g(11). Let m = j - -7809\/14. Find the common denominator of m and 143\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1195?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*f - 4. Let z(i) = i**3 + 3*i**2 - 4*i + 4. Let m be z(f). Solve m*x + 15 = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 5922*v - 2261510. Calculate q(360).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/28*(-4)\/(-3). Let r = 2927 + -2927. What is the closest to n in -0.2, r, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of 0*a - 1\/160*a**5 + 0*a**4 + 1\/16*a**3 - 9*a**2 + 0. Find p, given that q(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -6\/7, 4, 3, -5, 54?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 7:00 AM?\nAnswer: 10:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 59224 and 17615102?\nAnswer: 1346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + (-13 - 67) + 12.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 50, 104, 158?\n\"Answer: 54*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195 - 176. Calculate the remainder when 63 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 2*z**2 - 3*z. Let g(l) be the first derivative of -3*l**2\/2 + 217. Give k(g(x)).\nAnswer: 18*x**2 + 9*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -18, -24, -32, -42?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 32.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30352, -6, 3, -1, -1\/2 in ascending order.\nAnswer: -6, -1, -1\/2, 3, 30352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 807, 2, -88, -2, 4.\nAnswer: -88, -2, 2, 4, 807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 26430.\nAnswer: -79290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-8))\/(4\/(-16))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4*j + 2*z = -66, 87 = 4*j + 5*z. Let m be (-25)\/(-10)*2 + j. Solve -8*t - m = 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -99 + 94. Which is the closest to 1? (a) u (b) -0.3 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*i = -7 + 133 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 619.201ug?\nAnswer: 0.000619201","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*f - 1 + 1)*(3 + 3 - 5) + 4*f - 2*f - 3*f + f - 3*f + 0*f)*(16 - 16 - f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 PM and 3:13 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -4208\/98265 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0027424 to 4 dps.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31800.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21658 divided by 98\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -2*d**2 - 22*d + 8. Let t be v(-11). Let l(o) = 3*o**3 - 23*o**2 - 8*o + 4. Suppose 4*i = 3*i + 6. What is the lowest common multiple of i and l(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 7*v - 5. Let q be k(8). Suppose -q*x + 2 = -4. Suppose 292 + 288 = x*y. Round y to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:05 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 2*a - 2. Let k be g(2). Let x = 12 - k. Let c be x*(4\/8 - 0). Put 1, c, -5 in ascending order.\nAnswer: -5, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.04222772 rounded to two decimal places?\nAnswer: 9.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3621, 95, 4, 2?\nAnswer: 3621","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 798374550 a multiple of 410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10312*r**4 - 17541 wrt r.\nAnswer: -41248*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/8 + 29\/((-406)\/112).\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 15*p - 25. Suppose -13 = g + p*m + 10, 2*g - 14 = 2*m. Let v(j) = -4*j - 3. Let c(y) = 2*y + 1. Let u(t) = 10*c(t) + 4*v(t). Calculate u(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33553 + 784328.\nAnswer: 750775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51 - -55.2. Let s = 0.0081 - -3.9919. Let y = a - s. What is y rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 divided by 126595\nAnswer: -13\/25319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -919*1\/(-2)*2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 123.747288 hours?\nAnswer: 0.736591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7a2b3 (base 12) to base 11\nAnswer: -1013a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 1 - (2 + 1). Let o be y\/6 + 39\/18. Find the third derivative of -5*p**5 + 2*p**5 - o*p**2 + 2*p**5 wrt p.\nAnswer: -60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 473 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssc when three letters picked without replacement from {s: 12, c: 6}.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 16. Calculate t(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5972252 is divided by 2136?\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4467 to 2 decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -364673, -364674, -364675, -364676?\nAnswer: -364677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3085*k - 2180?\nAnswer: 3085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(1900) + sqrt(1900)*-4*1 + sqrt(1900) + sqrt(1900))*4)**2.\nAnswer: 960*sqrt(19) + 30544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i*i*i\/i**(-1\/2)*i*i)\/i))**33)**5*((i**(2\/5))**13)**(-13) assuming i is positive.\nAnswer: i**(-8101\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2. Let k(d) = 22*d**2 + 4*d - 3. Let j(h) = 34*h**2 - 132*h + 135*h - 4 - 12*h**2. Let z(n) = 4*j(n) - 3*k(n). Give f(z(i)).\nAnswer: 968*i**4 - 616*i**2 + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*i**2 + 99*i**2 - 5 + 5 - 2*i**3.\nAnswer: -2*i**3 + 140*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**2 - 55*i + 8682. What is t(-81)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iypwwyviiovyivviyiiy. What is prob of sequence pyi?\nAnswer: 7\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/2 + 7\/((-14)\/(-9)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**13\/((n*n\/(n\/((n*n**(-23))\/n)))\/n))\/(n**(2\/21)\/(n**(-1\/4)\/n)) assuming n is positive.\nAnswer: n**(2911\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - x = 1 - 6, -3*x = 15. Let v(f) = 5*f**2 - 3*f - 3. Let a be v(-1). Suppose 3 + 42 = a*y. What is the smallest common multiple of y and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 4. Let m be r(-6). Factor 4*x**m + 3*x**3 - x**3 - 2*x**2.\nAnswer: 2*x**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3807.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -88 - -77.9. Let z = 10.1 + k. Let x = 2558\/21 - 368\/3. Which is smaller: x or z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.13112 months to millennia.\nAnswer: 0.00709426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2561740545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**6*g)*g**(2\/13))\/(g\/(g**(-1\/4)\/g))**(-1\/10) assuming g is positive.\nAnswer: g**(-2923\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*j**5 + 2*b*j**3 + 121*b*j**2 + 2*b - 96*j**5 wrt j?\nAnswer: -120*b*j**2 + 12*b - 5760*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**3 - 1 - 2*x**3 - x**5 + x**3 - x**4. Let p(h) = 7*h**5 + h**4 - 3*h**3 + 5. Suppose 6*b = b - 5. Let j(u) = b*p(u) - 5*y(u). Solve j(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from zsmmrmymzpzyrys?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29001155 is divided by 4143021.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1240*m*z**3 + 2*m*z - 2*m - 10*z**5 + 62*z + 620 wrt z.\nAnswer: 7440*m*z - 200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqv when three letters picked without replacement from {d: 3, v: 1, q: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 256 - 249. Calculate the highest common divisor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4446 smaller than 4443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -10*w**2 + 6*w + 1. Let v(t) = -10*t**2 + 7*t + 1. Let a(f) = -6*j(f) + 5*v(f). Suppose -33*z = -28*z + 5. Let k be a(z). Solve m = 3*m + k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -924 (base 14) in base 13?\nAnswer: -a82","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 5:28 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/984*15\/(-12))\/((-200)\/720).\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 52.272177 to the nearest integer.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 + 12*x**2 + 6*x + 5. What is h(-11)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -50 - 21 - 33 - 46 + 81 + 8*v. Let s(g) = 4*g**2. What is q(s(f))?\nAnswer: 32*f**2 - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6. Let a be 0 + 2 - (p - -2). Suppose m + a = -z + 11, 5*m - 37 = -2*z. Calculate the remainder when 11 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 4*m - 3. Let i be x(5). Let g(s) be the first derivative of -1 - s - 5*s + 6*s - s**i. Determine g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 45?\nAnswer: 45.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-1)\/(-60) - 2\/(-8)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, s: 2, q: 6, j: 2, x: 3}. What is prob of sequence qs?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-4)\/6*(-2145)\/(-2002)?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 447, 893, 1339?\n\"Answer: 446*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/((-4)\/(-3 + -1)). Let t be (a - 5) + (2 - -2). Find the second derivative of i**2 + 2 + t*i - 2 - 5*i wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -44*l**3 + 104*l**2 + 195. Find the second derivative of m(x) wrt x.\nAnswer: -264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.14 in -1, -1\/10, 0.2, 1, 472?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 30*k + 1. Let q be v(9). Let d = -84 - q. Let c = d - -500. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let k(q) = q**3 + 18*q**2 - 5*q - 90. Let g be k(-18). What is the nearest to g in 3, w, -0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 2103666\/42 - 14\/49. Let f = -27656 + a. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 70437 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 1 - 19. Suppose -5 + 1 = o - 2*f, -l = -5*o - 5*f. Solve 0 = 3*c - 5*p + 8, -4*c - p + 5*p = o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p - 2. Suppose 0 = 5*s - 3*n - 22, -3*s - 7*n = -12*n - 26. Suppose -s - 26 = -7*v. Let a(x) = 11*x - 5. What is v*a(y) - 10*b(y)?\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*k = -0*k, -5*c - 4*k + 12 = 0. Suppose 2*f - p = 4*p + 115, -2*f - c*p = -70. Is 16 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1252100.9400244 - -1252100. Let z = o - -0.94. Round z to six dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 5*z - 2*z + 11*z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 13. Let l(d) = -5*d + 20. Let w be l(7). Let h be q(w). Let -15\/7*f + 3\/7 + 12\/7*f**h = 0. Calculate f.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101 - (4 + -52) - 9) + (-1 - 7).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 10*n - 222. Calculate the common denominator of n and 105\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 13) to base 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 320.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4041*w + 3960*w + 42 - 690 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 63, -16, 4 in descending order.\nAnswer: 63, 4, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -375526.296 rounded to the nearest 10000?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -95.86 - 0.2. Let z = 97 + h. Let l = 0.74 - z. Which is the smallest value? (a) -13\/4 (b) -2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6717115 (base 10) in base 15?\nAnswer: 8ca3ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 83725 and 425?\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/19 - -22\/57. Let x = 0.22 + -0.1. Let i = x - 0.22. What is the nearest to i in f, 0.1, 2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -14*l**2 - 352*l - 52. Calculate k(-25).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 28*l**2 + 156*l - 5410. Give w(26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1086475095?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4 = -0. What is the second derivative of 2*t**2 - t**f - 2*t**2 - t + 5*t**4 wrt t?\nAnswer: 48*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5581403 - 2?\nAnswer: -5581405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 + 16*m - 57)*(-6*m**3 + 2*m**3 + 3*m**3)*(-2*m - 4 + 4).\nAnswer: 32*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291 = 2*u - 279 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 102340.\nAnswer: 1228080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7516525829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**8\/(d*d\/(((d\/d**8*d)\/d)\/d)))\/(d**(2\/7)*d)**48*(d**(-7)\/(d\/(d*(d\/d**(2\/37))\/d)))**(-2\/23) assuming d is positive.\nAnswer: d**(-375892\/5957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(152) - 1*sqrt(152))*-3 - sqrt(152))\/(sqrt(8) + 2*sqrt(8)*2).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 404692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 1071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2. Let n(i) be the third derivative of 23*i**5\/30 - 34*i**2 - 5*i. Give l(n(a)).\nAnswer: 2116*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6304032 < 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*o, 8*l = 9*l + o. Let m(n) be the third derivative of 5*n**3 + l*n + 0*n**5 + 3\/40*n**6 + 0 + 0*n**4 - 10*n**2. Differentiate m(v) wrt v.\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + s. Let l(q) = -5*q**2 - 4*q. Let f(h) = l(h) + 4*u(h). Let w(b) = -b + 11. Determine w(f(o)).\nAnswer: o**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and -48479968239809.\nAnswer: -48479968239809.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - -2. Let u be (-9)\/(-3) + -1 - -1. Let t(x) = x - 15. Let m be t(12). Sort m, u, i.\nAnswer: m, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42673271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000065427609 rounded to six dps?\nAnswer: -0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2482 + -1702. What is the hundreds digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1009 and -50.5.\nAnswer: 958.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1275)*-5*1)\/(sqrt(3) - -4*sqrt(3)*3 - sqrt(30)\/(-2*sqrt(10))).\nAnswer: -100*sqrt(17)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141686 is divided by 130.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 1 + 2 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2 and 675?\nAnswer: 1485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 n when two letters picked without replacement from rnrrrnvcnvvrrrrrwur.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -46\/5, -18, 36\/11, -0.4, 9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -148.595 - -143.6. Let o = -5 - w. Let y = o - -0.0050027. What is y rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 times -0.02?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jaj when three letters picked without replacement from {o: 4, j: 10, a: 2}?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nfff when four letters picked without replacement from ffufuufnuffnfnnff?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/4415 + -198688\/57395. Calculate the common denominator of y and -89\/16.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.157652 to 3 decimal places.\nAnswer: 0.158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(18))**2*-5*-3 + (6*(sqrt(12)*1 - sqrt(12)))\/(sqrt(30)\/sqrt(45)).\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 91 - 119. Suppose 49*j = m*j + 8519. What are the prime factors of j?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of -s**5\/120 + 11*s**4\/12 - 121*s**3\/3 + 22*s**2 - 3*s. Find t, given that a(t) = 0.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*j - 34*j - h + 149 = 0, 0 = 3*j - h + 87. Suppose -31 = -2*i + 3*i. Is i greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11822?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o**2\/9 - 38*o - 520 = 0. What is o?\nAnswer: -156, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 a when two letters picked without replacement from eoeaooeaoaeooeeao?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6045.\nAnswer: 3, 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c**0\/c)\/c*c*c)\/((c*c**(-35))\/c) assuming c is positive.\nAnswer: c**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-10))\/(-2*1\/2).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 12:21 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70772.86km to millimeters.\nAnswer: 70772860000","meta":{"dup_signals":{},"source":"measurement__conversion_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: Differentiate 24764*a*u*x + a*u + 49*a*x - 3*a - 2*u*x - 2*u - x - 29905 wrt x.\nAnswer: 24764*a*u + 49*a - 2*u - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 173 in 0, -3, -0.2, 13, 11?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {u: 1, e: 2, a: 7, r: 2, m: 1, d: 4}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 21 - 63*z**2 + 10.\nAnswer: -63*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - d + 22 = 0, -5*d + 4 = -7*d. Solve -3*g + 10 = i + i, -v = -5*i + 2*g for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 6*k**2 + 7*k - 14. Let y = 87 + -80. Let l be f(y). Suppose -l = -10*v + 136. What are the prime factors of v?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/14641 and 32\/5687?\nAnswer: 688127","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, 3, 15903, -3, -10 in descending order.\nAnswer: 15903, 3, 2, -3, -10, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -562 and 4?\nAnswer: -2248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -233114043022?\nAnswer: 233114043014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5975773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**2*r**2 + 3*g**2*r + g**2 + 12*g*r - 122*r**3 wrt r?\nAnswer: -4*g**2 - 732*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 918.3865l to millilitres.\nAnswer: 918386.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y - 6 = -8*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*l - 11*i + 15*i - 14, 4*l + 40 = -4*i for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -333*r + 305*r + 162512 = 0. What are the prime factors of r?\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 392508605 to the power of 1\/3, to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77794, 77781, 77752, 77701, 77622, 77509, 77356?\nAnswer: 77157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m - 75. Let t be o(-16). Suppose -4*n - 5*s + 12 = 0, 7*n - t*n - 6 = -s. Determine v so that -6\/13*v**4 + 0 + 2\/13*v - 2\/13*v**n + 6\/13*v**2 = 0.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 10:55 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (69\/345)\/(4\/(-360)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7764 and 54?\nAnswer: -419256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -249*v**2 + 649*v**2 + 45 - 44 + v - v + v**2 + (-3*v + 0*v + 2*v)*(3*v - v - 3*v) as m*v**2 + q + u*v and give m.\nAnswer: 402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**3\/17 + 558*o**2 - 266784*o\/17 + 1870232\/17 = 0. Calculate o.\nAnswer: -4771, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 3*j - 3. Let k(h) = h**3 + 19*h**2 - 20*h + 5. Let n be k(-20). Suppose g = -n*g - 60. What is the tens digit of z(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -363496 < -3998452\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*z + 157 + 383. Solve -2*c - 2*c - z = 2*l, -11 = 2*l + c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -22\/3*k**3 - 1\/12*k**4 - 87*k - 92*k**2 + 0. What is the first derivative of m(n) wrt n?\nAnswer: -2*n - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/860 - 10427\/430. Find the common denominator of 67\/12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -554\/35 + 108\/7. Let o = 347 - 345. Let t = 0.4 - 0.3. Put o, x, t in decreasing order.\nAnswer: o, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of 0*m**3 + 1\/4*m**4 - 3 + m**2 + 25*m. Let y be r(0). Calculate the greatest common factor of 225 and y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 33. Suppose 0 = 4*j - h - t, -2*j - 3*h + 16 = -9. Let s(x) = x**2 - 2. Is s(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6874 + 172.\nAnswer: 172.6874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5825022 = -5*k - 1971550, n - 770698 = -k. Let b be 30\/18 + k\/3. What is b rounded to the nearest ten thousand?\nAnswer: 260000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 2*l = -78, 5*l = -k - 2*k + 43. Let f = k + -11. What is the smallest common multiple of f and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9352625 and 375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5234 is divided by 400.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 2 - 14 = 0. Let v = y + 8. Suppose -3*d + 25 = v*q - q, 0 = -4*q + 3*d + 55. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 + 1 + 5)\/(-2). Let y = 0.3 + -0.06. Let f = -0.06 - y. Which is the second smallest value? (a) -3\/4 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 378*d**3 + 401*d**3 + 16267*d - 16277*d in the form q*d**2 + i + r*d**3 + g*d and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5479110 is divided by 2739462?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 + 50*m. Let r(w) = -993*w. What is r(d(b))?\nAnswer: -1986*b**2 - 49650*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + -6. List the prime factors of 158\/3*(-6)\/s.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 177979080 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 319851?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-60)\/(-27) + (-4)\/18)*(-49)\/(-343). Let z be (1 - 12\/10)*-2. Put z, a, 1.14 in descending order.\nAnswer: 1.14, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*-18.\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 1 = -7. Suppose 0 = -0*w + w - 6. Suppose 0 = -u + w*u. Sort f, 1, u in decreasing order.\nAnswer: f, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - 13*z + 57. Let j be r(-16). Let l(c) = 7 - 222*c + j + c**2 + 210*c. Calculate l(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5626 is divided by 336.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**5 - 108*u**4 - 976*u**3 - 3264*u**2 - 1792*u + 6144 = 0.\nAnswer: -12, -8, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 101305 (base 6) in base 8?\nAnswer: 17651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8250 (base 15) to base 9\nAnswer: 41673","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 39\/1819 - -57330\/634831. Which is bigger: k or -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0868 times 0.2\nAnswer: 0.01736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15 from 117630714357.54.\nAnswer: 117630714342.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 > 105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.4, 4, -2\/15?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 121607?\nAnswer: 121613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 398 = -6466. Is 22 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1089 is divided by 389?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -10 + 11 - 6\/2. What is the closest to a in -1\/7, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-2 + 4) + 2. Let u = -1.144 + -0.006. Let g = u - -1.95. Which is the second smallest value? (a) w (b) 1\/5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*y + 16952, 8*y = 9*y + 2*c - 4241. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 82 and 0.054.\nAnswer: 82.054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1455.3 to the nearest ten.\nAnswer: -1460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-17020)\/8)\/((-8)\/16) a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 5, -1, 4, -369, 81, -18.\nAnswer: -369, -18, -1, 1, 4, 5, 81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 3*j + 34, -70*j - 10 = -75*j - 5*t for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33 + 20*b + 16 + 17)*(-1 + 8 - 1) to the form g + z*b and give z.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9403*o = 9617*o - 6420 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15610\/13 + -140360\/117. Find z such that 2\/9*z**3 - 14\/9 - a*z**2 - 26\/9*z = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-50505)*37)\/((-96)\/(-224))?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6*v**2 - 6.\nAnswer: -6*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1255355 - 170349. Suppose 0 = 4*g + s + 7714994. What is g rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3720 and 465?\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1255682?\nAnswer: 2, 627841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*b + 30, 3*m - b - 9 - 2 = 0. What is the remainder when 13 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wssww. Give prob of picking 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -720 divided by -180\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-100)\/(-156))*5. Let u = -35 + f. Put -0.7, 3, u in ascending order.\nAnswer: -0.7, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3869688 divided by -322474\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -1541*s - 278. Is k(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1190 - 1258 - (42 - 1).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -444348, -444380, -444432, -444504, -444596?\n\"Answer: -10*p**2 - 2*p - 444336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -32 - -13 - -1 - -10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8\/5)*g\/g**(1\/10)*g)\/(g**6\/(g\/(g\/(g\/(g*g**9))))) assuming g is positive.\nAnswer: g**(-147\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by -3\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 247 + 245 + 269 + 3*i to the form h*i + d and give d.\nAnswer: 761","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -93164\/133 smaller than -699?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-28)*4\/(-5).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1101, 1081, 1037, 963, 853, 701?\n\"Answer: -c**3 - 6*c**2 + 5*c + 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(36)\/sqrt(6)) + -4 - sqrt(76)\/(sqrt(400) + sqrt(400)*1 + sqrt(4)).\nAnswer: -4 + 20*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 541432495 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/(-297)*(-75)\/(-50).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -2*o + 6. Let k = 37 + o. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -154 + 352. Is v a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 10. Let y(n) = -n - 11. Let p(t) = 6*w(t) + 5*y(t). Let l be p(5). Solve 4*o - 4*r - 4 = 0, -l + 2 = 4*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c - 0?\nAnswer: -c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 34354 (b) 0.4 (c) -7 (d) -4\/7 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 30*a. Let y(s) be the second derivative of s**7\/2520 - 197*s**4\/12 - 3*s - 15. Let k(p) be the third derivative of y(p). Calculate k(x(f)).\nAnswer: 900*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**3 + q - q**2 + 8*q**2 + 2*q**4 + 0*q**3 - 2 to the form s + b*q**4 + a*q**2 + f*q**3 + u*q and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iwwe when four letters picked without replacement from seshsewsewi?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*m + 23658 = -23772. What is the greatest common factor of m and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -61094, -244439, -550036, -977885?\nAnswer: -1527986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 586828516?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one halves of a microgram in nanograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - ((-93)\/3 - -4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 10 = 0, 5*n + 19 = -4*g + 64. Solve -6 = -g*q + 3*t + 6, -2*t = -4*q + 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*g**2 - 13*g**4 - 8*g**2)*(4 - 1 - 2).\nAnswer: -13*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*p - 9 = 0. Let k = -1 - -1. Suppose -i + k*i = -2. Do i and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*h**3*z**3 - 38*g**3*h**2*z**3 - 3*g**2*h**3*z**3 - 6*g**2*h**3*z + 62*h*z**3 wrt g?\nAnswer: 12*h**3*z**3 - 228*h**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -205b8 (base 15) to base 16\nAnswer: -19094","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12106921 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 17) + (152 - 131) - 15?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.8 - -2.8. Which is the closest to 0.1? (a) u (b) -2\/9 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3*(-7 - -3)*1. Is (15 - 25)\/(2\/l) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -546 - -546.13. Let r = 0.03 - -0.1. Let l = j + r. Which is greater: l or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 956402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(220) + sqrt(220) + sqrt(220) + (3*sqrt(220)*-1 - sqrt(220)))\/((2*sqrt(15))\/sqrt(3)))\/(-4*(sqrt(360)\/(sqrt(160) + sqrt(10)) + sqrt(36))).\nAnswer: 5*sqrt(11)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*f - 25*f + 7008. Is 1168 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 189 - 159. Suppose 0 = 4*c - 107 - 133. Calculate the highest common divisor of c and p.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -106693 to the nearest 1000.\nAnswer: -107000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y**2 - 218*y**2 + 26*y**2)*(-2 - 3 + 3) to n + a*y**2 + c*y and give a.\nAnswer: 388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 0*f + 18 - 4 + f. Let k be z(6). Let y = 1083 + -1068. What is the highest common factor of y and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 37 = 7. Let y = 1 - 3. Let i = y - -2. What is the nearest to -2\/5 in -2\/9, i, j?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47462048 and 15220?\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50902980 divided by 6?\nAnswer: 8483830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**5\/20 - 7*g**4\/12 - 3*g**3\/2 - 2*g**2 + 41*g. Calculate y(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 1:46 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = 60*o - 48, -5*o = 4*z - 15009020 + 15009039 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 666, 2\/7, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.01 (b) 1\/413 (c) -2 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of a**4\/4 - 7*a**3\/3 + 4*a**2 - 7*a + 54. Let n be u(6). Let p(z) = -z**3 + 4*z**2 + 1. Let t be p(4). Solve g + n = t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 5 - 41. Let r = a + 39. Suppose 0 = -f + 4*h - h + 16, 2*f - r = 2*h. Calculate the remainder when 6 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76136358 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -8*o**2 + 6*o - 6. Let v = 61 + -43. Let b = -25 + v. Let w(x) = -9*x**2 + 7*x - 7. Suppose 5*a - 7*a = -12. What is a*w(p) + b*z(p)?\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31782 and 12.\nAnswer: 63564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -s**2\/7 - 1983*s\/7 - 736560\/7 = 0.\nAnswer: -1488, -495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 18314 = -8404. Let q = -2304 - o. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 223300326.\nAnswer: 2, 3, 677, 54973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 24368273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i + 2. Let w be a(-7). Let t = -18 - w. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 612\/(-255) + 6\/(-20)*2. Let b(k) = k**3 + 2*k**2 - 2*k + 2. Determine b(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 679177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (355 + 127 + 24)*(3 - 3 + 7*w**3) to j*w + c*w**3 + q*w**2 + a and give c.\nAnswer: 3542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3710593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k - 64 + k - 75 + 2*k + 0*k to the form g + w*k and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 1082*u. Let i(t) = -118*t**2 - 2. What is f(i(j))?\nAnswer: -127676*j**2 - 2164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12860955 - -3581708. Suppose -2*d = 5*i + 14896241, -6*d + 2*d = 2*i + 5958506. Let r = o - i. Round r to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221020 - 10210?\nAnswer: 1210110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (5 - -1) + (-12 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*((sqrt(143)*1*5 - sqrt(143) - sqrt(143)) + -1*(sqrt(143)*1 + sqrt(143))))\/(-2*sqrt(1100) + sqrt(176)*-1))**2.\nAnswer: 13\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -141 + -10420341302?\nAnswer: -10420341443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -13 + 21 + -37 - (-17 + -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 73.969 + -74. Let n = -0.03100108 - x. Round n to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6*1 + 2 + -8 + 2. Suppose -4*j + 5 - 1 = 0. Let i(z) = 2 + 0 + z**3 + 3*z**2 + j - 6*z**a. Determine i(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-594)\/363*330\/45?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 3*w - 153 + 112 = -0*h, -w + 8 = 21*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*l**3 + 5*l**3 + 2*l**3)*(2*l**2 - 3*l**2 + 3*l**2).\nAnswer: 36*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 61612 to the power of 1\/4, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 33 * 0.839\nAnswer: 27.687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + (0 - (-56 + 34)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (2 + 0 + -5). Suppose q*v - 4*l - 2 = 4, -2 = v - 4*l. Let n = 0.6 + -2.6. Put v, n, 4 in decreasing order.\nAnswer: 4, v, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.14 + -0.94. Let m be (2\/3)\/1 + 0. What is the closest to a in -2\/13, m, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i\/i**(-1))\/i)**(-1\/8)*(i**0)**(-15)*((i**(-5)*i)\/(((i**(-1\/7)*i)\/i)\/i))\/(i**(-1\/4))**(-9) assuming i is positive.\nAnswer: i**(-75\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**4 + 30*f**3 - 3*f**2 - 30*f = 0.\nAnswer: -10, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*i - 19 - 2, 3*i - 20 = 2*y. Suppose i = c - 2. Let v(l) = l + 7. What are the prime factors of v(c)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 3)*(0 + 2 - 3)*(0 + 0 - t**2).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 n when three letters picked without replacement from {l: 1, n: 7, q: 11}.\nAnswer: 77\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2248 - 2194. What is the remainder when 173 is divided by p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2738 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -5 + (-1138)\/342 + (-28)\/(-126)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 2*s - 3. Let v(w) = 5*w**2 + 7*w + 4. Let p(q) = q**2 + q. Let x(i) = 4*p(i) - v(i). Determine 6*r(a) - 4*x(a).\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1) + -10 + 40 + -33?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 82536?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -16*c - 4. Let o be w(2). Let s be 508\/24 - (-6)\/o. Let y = s - -1. What is the remainder when 64 is divided by y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -14*v**3 - 11834*v**2 - 3337*v + 36339. Calculate h(-845).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 295*c - 292*c + 348*c - 13689 = 0 for c.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (59 - 25) - -23?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -4*g + 1627168, g - 361863 = 3*h + 44938. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/18983208 and 29\/204?\nAnswer: 322714536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 7*t**2 + 8*t + 11. Is p(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 16*i + 5*i + 11)*(2*i**3 - i**2 + i**2 + i**2).\nAnswer: -16*i**4 + 14*i**3 + 11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1275382, -5101531, -11478446, -20406127, -31884574, -45913787?\n\"Answer: -1275383*o**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 g when three letters picked without replacement from sggxxsssxxxxgxsg.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/9 + (700\/(-72) - -9))*18.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 4:57 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 f when two letters picked without replacement from vcjfxxcfxxxffxxfx?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 72257, 0, -5, -1, -4, 7 in decreasing order.\nAnswer: 72257, 7, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, -0.4, -1\/73, -5 in increasing order.\nAnswer: -5, -0.4, -1\/7, -1\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44439 - -44443. Solve 3*p = -x*g - 26, 6 = -3*p - 0*p for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 458611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 - x**5 + 0*x**5 + (1 - 4 + 5)*(2 - 2 + x**5) - 15*x**3 + 15*x**3 - 12*x**5 + (4*x - 4*x - 3*x**5)*(1 - 3 + 1) - x**5 - 1 + 1.\nAnswer: -9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176562 is divided by 3560?\nAnswer: 2122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -15, -32, -45, -54, -59?\n\"Answer: 2*j**2 - 23*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8311762*v**4 + 27*v**3 - 305342965 wrt v.\nAnswer: 33247048*v**3 + 81*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11829 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -111*h**3*k*n + h**3*k*u - 2*h**2*k*u - 183*h*k**3*u - 2*h*k**3 + 10*k**3*n*u wrt n.\nAnswer: -111*h**3*k + 10*k**3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1767, 0.5, -0.01, 7.7?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -195547 and -149883.\nAnswer: -345430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 50*t**2 - 3. Let c(f) = 585*f**2 - 35. Let g(p) = 3*c(p) - 35*m(p). Let r(w) = 205*w - 1. Determine r(g(b)).\nAnswer: 1025*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3354369, 3354370, 3354371, 3354372, 3354373?\n\"Answer: j + 3354368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2585989*s - 3 = -2585992*s, 4*s - 82 = -26*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6*165\/450*5 - 5*1\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 2 (c) -495241.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -27.3014 - 11.3\nAnswer: -38.6014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -2*d + d - 2*d. Let g(b) be the third derivative of 0 + 15*b**2 + 0*b**4 + 0*b**3 + 1\/30*b**5 + 0*b. Calculate g(z(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zoaoonzzznnnnolz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/7, -4.642 in descending order.\nAnswer: 0, -2\/7, -4.642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7109 - 2804. What is v rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -4, -484, -12 in increasing order.\nAnswer: -484, -12, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/2 + (-2 - -2) - -1. Which is the biggest value? (a) l (b) 2\/17 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126674 <= 126675?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 590 = 7*z - 474. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -4*x - 680. Let o = x - -177. Suppose -v - 5*a = -27, 3*v = 3*a + 40 + 113. What is the remainder when o is divided by v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110101010110001 (base 2) in base 5?\nAnswer: 3410311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwywyypppppy. Give prob of sequence ww.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147953, 147955, 147979, 148037, 148141, 148303, 148535, 148849?\nAnswer: 149257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 3:15 PM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(15)\/sqrt(5)) - -1*sqrt(76))**2.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 PM and 9:21 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a + 15. Suppose -2*j = 3*j + 65. Let k be m(j). Solve -5*g + k*f + 28 = 0, g + 2*f + 8 = -f for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 5*b - 5*b. Let r(g) = -1 - g**2 + 1. Calculate r(i(y)).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -37. Is (-10)\/x*(-93)\/2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = -0*v + 5*v. Suppose -5*b + 4*b = -36. Calculate the greatest common divisor of b and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1953 a factor of 684465957?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnp when three letters picked without replacement from nunnnpnnnnyunn?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.86965 minus 0.7?\nAnswer: -9.56965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3)\/n)**(12\/7)*n**(-10)\/n*n*n**(2\/11) assuming n is positive.\nAnswer: n**(-932\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2555563 (base 7) to base 10\nAnswer: 333343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/169650 and -151\/237510?\nAnswer: 1187550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the first derivative of g**3 - 2*g**2 - g + 2. Is b(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 26. Let d(l) = -3*l + 2. Let u be d(-7). Let v = u + c. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/4428 and -29\/3936.\nAnswer: 35424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 10:46 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10711960, -10711961, -10711962, -10711963, -10711964, -10711965?\nAnswer: -10711966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28\/9 + 85\/36. Let r = -26 - -29. Let o = 0.6 - 1. Sort o, j, r.\nAnswer: j, o, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/sqrt(7) + 1.\nAnswer: 1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 182*a**4*i + 3*a**4 - 1215*a**3*i - a**3 + 6*a**2*i - 5*a**2 + a*i + 881*i + 2 wrt a.\nAnswer: 4368*a*i + 72*a - 7290*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fee when three letters picked without replacement from {f: 1, w: 4, x: 3, e: 10}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 631, -1, -3, 4, 2.\nAnswer: -3, -1, 2, 4, 631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 307439101 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -14c0?\nAnswer: 14c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of 5*p**7\/21 + p**3\/2 - 5*p. What is the second derivative of u(d) wrt d?\nAnswer: 200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 857157, 857159, 857161, 857163, 857165?\nAnswer: 857167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 42\/(-48)*4\/(-14). Let l = -5 + 4.6. Which is the third biggest value? (a) q (b) -5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*n - 4*a - 3, -2*a = 4*n - 6 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**2 - 8*f - 8. Let a(m) = -2*m**2 - 3*m - 3. Let p(b) = 8*a(b) - 3*r(b). Let z(u) = 24*u**2. Calculate p(z(c)).\nAnswer: -576*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 71. What is the closest to -2\/19 in 2\/13, x, -0.4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2200)\/(-66))\/(-2 + 64\/30) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2102 - -1?\nAnswer: 2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67669 = -38*x + 22391. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 496 - 434. Calculate the remainder when 123 is divided by q.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fdf46 - 17?\nAnswer: -1fdf5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 4885443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 384384 and 784?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = j - 1, -j - 4*y = y + 8 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13042622 (base 7) to base 4\nAnswer: -10201310102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 3*b + b)*(-b + b + 2*b + (0*b - 2*b + 5*b)*(1 + 4 - 7))*(22150*b**2 + 524*b**3 - 22150*b**2).\nAnswer: 2096*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2585211553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 0.1 (c) 9 (d) 3\/10 (e) 577 (f) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136395 divided by 7?\nAnswer: 19485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003381 rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2*r + 2. Let j be z(0). Suppose -p - 3*y + 33 = 0, -j*y = -3*p - 2*p + 233. Suppose 2*w + p + 75 = 0. Round w to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -h - 2*a - 9, -5*h + 385*a - 383*a + 15 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/6 - (-2214)\/492. Solve 9 = 3*t + 3*r, -l*t - 3*r = -6*r + 9 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4198, 8524, 12836, 17128, 21394, 25628, 29824, 33976?\n\"Answer: -a**3 - a**2 + 4336*a - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 266.86076 less than 141?\nAnswer: -125.86076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + 8 - (14 + (-52 - -43))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjtj when four letters picked without replacement from ttttjjjtttttttt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 723*k - 3610. Calculate x(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61 - 50*q**2 + 23 + 21 - 21*q + 17 to the form i*q**2 + h + o*q and give i.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**3\/3 - 2*z**2 - 2*z + 3. Let q be n(4). List the prime factors of 8 - (-2)\/4*q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4007?\nAnswer: 4007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -894\/4246837?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -5*c + 2*s - 9*s + 41, 43 = -4*c - 0*c + 5*s for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yxhyhkayhynakkhykyka. Give prob of sequence xkkh.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.58 - 0.28. Which is the nearest to 1\/18? (a) r (b) 0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1747, 6990, 15729, 27964?\n\"Answer: 1748*a**2 - a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28757417 a multiple of 3008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o + 43571987 - 43571987 - 135*o**3.\nAnswer: -135*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5 + (-8)\/16*-12. Let p be t*(-3)\/(-6)*4. Let u(a) = -2. Suppose -4*q - 4 = 8. Let v(f) = f - 3. What is p*v(h) + q*u(h)?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00081638946 rounded to 7 dps?\nAnswer: -0.0008164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4136038, -8272077, -12408116, -16544155, -20680194?\n\"Answer: -4136039*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-8) - 50\/(-4). Let n(z) = z**2 - 2*z + 4. Let r be n(4). What is the greatest common divisor of s and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 35461 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -6*k**3 - 65*k**2 - 28*k - 3584. Determine p so that h(p) = 0.\nAnswer: -7, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4172 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1038*f - 1113*f + 3382*f - 1230*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 8*q**2 - 10*q - 6. Suppose h = -2*k, 3*k + 0 = -6. What is the smallest common multiple of h and u(3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-9) + 1 - (55 + -55)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70615\/8 - -8827. What is the biggest value in -2\/15, 14, c, -2\/63?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 145821, 145616, 145411, 145206, 145001?\n\"Answer: -205*y + 146026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -8*d. Let g(l) = -l. Let q(a) = 14*g(a) - 2*p(a). Let u(x) = -x - 3. Let i(o) = o + 1. Let h(z) = -3*i(z) - u(z). Determine h(q(m)).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -20 in 0.5, -0.0751, 19\/2?\nAnswer: -0.0751","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaa when three letters picked without replacement from {a: 13, p: 3}?\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -1*-59*(0\/1 - -1) is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*s**3\/2 + 114681*s**2 - 229344*s - 917424 = 0. Calculate s.\nAnswer: -2, 4, 76452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: Does 14 divide 202655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.385 - -2.4. Let a = 16.115 - 16. Let r = a - x. What is the fourth smallest value in -4, r, 2\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -123 (b) 5 (c) 0.7 (d) -7 (e) 2\/9 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -11131388 to the nearest one hundred thousand.\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*x - 16*x = -21*x - 39 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 0 - (35 + -31)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (3 + 0) - 1) + 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.02 - 0.02. Let k = -4 + 4.3. Which is the closest to u? (a) k (b) -0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*r - 7961 + 2436 - 2602. What is the remainder when 782 is divided by r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 245 (base 9) to base 10\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*j - 29*j - 4*j)*(-3 + 0 + 1)*(2*j - 2*j**2 - 2*j).\nAnswer: -180*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 - 3*u + 8. Let l be t(-6). Let v(m) = -7*m + 19 - 2*m + 10*m. Let f(x) = x + 18. Let p(w) = -4*f(w) + 3*v(w). Give p(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(4 - (-63)\/(-15)). Suppose 3*d + 3 = 4*f - 3*f, -y*f - 4*d + 34 = 0. Solve 0 = -2*z - f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -298*j + 16991. What is w(57)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 728640 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 114 = -5*b. Let i be (b\/(-6) - 4)*(-9)\/(-1). Suppose 0 = -i*d - 4*v + 75, 3*d - 60 = 8*v - 7*v. Solve 2*t = 4*y - 6, -5 + d = 4*t - y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**3 - 9*c**3 + 5*c**3 + 8*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 4*f**2 + 3*f - 4. Let m be n(-3). Let d = -5\/36 + 8\/9. Which is the closest to 2\/3? (a) 0 (b) m (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(1377) - (sqrt(68)*3 + sqrt(68))\/sqrt(4).\nAnswer: -3 + 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1\/13281 + 2085113\/53124. Let k = l - 38. Which is the nearest to k? (a) 1 (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18.98269 to two decimal places.\nAnswer: -18.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26178599*j*w - 8008023*j wrt w.\nAnswer: 26178599*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15793 - -36327. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1129\/3 at most -376?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 2*f + 28, -p = 5*f - 0*f - 31. Calculate the common denominator of -1*22*p\/64 and 53\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*p - 74, 163*s - 161*s + 2*p + 32 = 0. Let a(j) = j**2 + 33*j + 233. Calculate a(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 - -2. Suppose -5*j - m*g = -j - 216, 0 = 2*j + 3*g - 113. What is the remainder when j is divided by 324\/20 + 12\/15 + 0?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124276 is divided by 122719?\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 264*j**3 - 120 - 46 + 723*j**3 - 11 wrt j?\nAnswer: 2961*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**5 + 16*h**4 + 16*h**3 - 8*h**2 - 20*h - 8.\nAnswer: 4*(h - 1)*(h + 1)**3*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3\/4, 14, 2\/7, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 4 - 14*a + 0 + 3.\nAnswer: -14*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 17. Let x be (-63889)\/(-28) + i\/(-4). Let l = -1238 + x. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -9683, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2042024057 to the nearest integer?\nAnswer: 1269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 420020737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6646.\nAnswer: 2, 3323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 339240 and 31635.\nAnswer: 715457160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 957 and 198.\nAnswer: 5742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(4\/5)\/s)\/s**(-6))\/(s**1)**(18\/13))**(-5\/2) assuming s is positive.\nAnswer: s**(-287\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60544, 243704, 548970, 976342, 1525820?\nAnswer: 2197404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 159 + -157. Calculate the remainder when (-16)\/10 + m - (-1505)\/175 is divided by (-2)\/(-7) - 24\/(-14).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.97*-0.6\nAnswer: 0.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 - (0 + -18) - (2 - 22) - (-4 - -4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 + 212012?\nAnswer: 212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*y + 25*y - 54*y + 2584064 = 2585464 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-12) + (-355)\/(-426). What is d in 10*d**y + 26 + 15*d**3 - 38*d**2 + 40*d - 38 - 2*d**4 - 11*d**2 = 0?\nAnswer: 1\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -16*69\/(-180) + -6\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4683*q = 4678*q - 3*u - 26, 5*q - u + 18 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2461*g**3 + 2 - 12 + 10.\nAnswer: 2461*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 16918 to the nearest one hundred.\nAnswer: 16900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25.1 - 23.93. Let n = -4.83 - i. Which is greater: n or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 448985336.\nAnswer: 448985336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 120220100 (base 3) to base 15\nAnswer: 367c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = 3*y + 4, 135*y - 139*y - 2 = 2*s for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1224 times -50503\nAnswer: 61815672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*g + 1190 = -64*g - 2548 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 3*o + 12. Suppose -25*t - 228 = -101*t. Let b(h) = -2*h**2 - 4*h + 4. Let c(z) = z**2 + 3*z - 3. Determine o*c(y) + t*b(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 8:28 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/4*(-6)\/9. Suppose x - 5*o = 26, 3*o = 3*x - 5*x - 13. Which is bigger: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221079719.\nAnswer: 7, 607, 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14495 - -14497. Suppose -18*m**5 - 1\/2 - 75\/2*m**t - 60*m**4 - 145\/2*m**3 - 15\/2*m = 0. Calculate m.\nAnswer: -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 12*g**2 - 6*g + 2. Let d = -189 - -183. Let r(h) = -12*h**2 + 5*h - 2. Determine d*w(j) - 7*r(j).\nAnswer: 12*j**2 + j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.62875 * 324.\nAnswer: 1499.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4131, 4063, 4031, 4053, 4147, 4331, 4623, 5041?\nAnswer: 5603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -0 + 16 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 346089 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024 minus -1678139?\nAnswer: 1678138.976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11, -35, -75, -131, -203, -291?\n\"Answer: -8*j**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-8))\/((-3250)\/(-2600)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 618 divided by -413.\nAnswer: -618\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/(-40) - (1 - (-61236)\/(-32)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4181*c**3 - 113*c. Let a(k) = 220*k**3 + 6*k. Calculate 113*a(l) + 6*w(l).\nAnswer: -226*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(((6\/3)\/4)\/(-1))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 0. Let h = n - 3. Let m(x) = x + 12. What is m(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -4*x - 3, 7*x - 153288*t + 29 = -153284*t for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 6 = -2*n, -4*j + 3*n = -3*j + 19. Let s be (2 + j)*-2*1\/(-14). Which is the nearest to 1? (a) 1 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.926064 litres in millilitres?\nAnswer: 926.064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 131?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(396)*2*6 - sqrt(396)) + 3)**2)*-2.\nAnswer: -95852 - 792*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3257 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(800)*2 + -1)*2 + ((sqrt(648) - -1*sqrt(648)) + sqrt(648) - sqrt(8))\/(sqrt(2304)\/sqrt(9)))**2.\nAnswer: -333*sqrt(2) + 110921\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyqb when four letters picked without replacement from qyyybbqyyq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16892 by -164.\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 7*u**2 + 18*u + 3. Let z be q(-9). Let c(g) = 14 + z*g - 8 - 6. Let l(k) = -7*k. What is l(c(n))?\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnj when three letters picked without replacement from {b: 1, q: 1, p: 1, j: 1, m: 2, n: 2}?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -100, -206, -312, -418, -524?\nAnswer: -630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 680*r - 4008.\nAnswer: -2*(r - 334)*(r - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -17*p + 6. Let x be n(2). Let k be x\/15 - (-6)\/(-45). Let d(r) = -432*r + 7. Is d(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/128242653 and -19\/33.\nAnswer: 128242653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 85866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4 + 0 = 0, i - 84591 = 4*m. Let c = i + -190486. Let k = 70699 + c. Round k to the nearest one thousand.\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50518302 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -3, 93, -2.41?\nAnswer: -2.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, m: 4}. What is prob of sequence mmm?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3955301 and 212341.\nAnswer: 3599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d - 16. Let h = 15 - 6. Let c be q(h). Suppose 2*l = -l + 5*j + 26, c*l = -2*j - 4. Solve f - 6 = 4*t, -4*f - l = f - 4*t for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d - 8. Let f be m(13). Which is the second smallest value? (a) -36 (b) 3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1759?\nAnswer: 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - f + 3)*(0 + 0 - 1) - 87152 + 87152 + 3964*f to g*f + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 50*p + 6. Let o(m) = -3*m**2 + 148*m + 16. Give -8*l(u) + 3*o(u).\nAnswer: -u**2 + 44*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1305\/104 + 168\/13. Let d be (-6)\/(-12)*(1 - -9). Suppose -2 = -3*m + 6*p - d*p, 2*p - 18 = -5*m. What is the third smallest value in 0.1, m, l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 2:53 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*h = 27*h - 88 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99865 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 4490, 7088, 9684, 12278, 14870, 17460, 20048?\n\"Answer: -m**2 + 2601*m + 1890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18624174 rounded to 4 dps?\nAnswer: -0.1862","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, -14, -1.9, 0.4, 0.3 in increasing order.\nAnswer: -14, -1.9, -2\/13, 0.3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-26))\/(190\/(-1235)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.74 to 0 dps.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y\/(y*y**(3\/2))*y**(-2\/9)\/y**2)\/((y*y**0\/y)**(-6)*(y*y**(-1\/7))\/y**(-6)) assuming y is positive.\nAnswer: y**(-1249\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10409\/17085 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:36 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 9:19 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3972519?\nAnswer: 3, 193, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -9*q - 8. Let h = 1051 - 1046. Let a(n) = -8*n - 7. Determine h*a(f) - 4*j(f).\nAnswer: -4*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 574, 5, 2\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04871 and 253999.\nAnswer: 253999.04871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 30. Let f(d) be the second derivative of -3*d**3\/2 - 2*d. Is f(j) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -29*h**8\/28 - h**5\/20 - 77*h**4\/6 + 89*h - 2. What is the third derivative of g(n) wrt n?\nAnswer: -6960*n**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 133 - 129. What is the nearest to -27 in -0.5, -5, r?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11050*z**3 + 14372*z**2 - 2 wrt z?\nAnswer: 66300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -20213522?\nAnswer: -20213515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-3)*c)*(c\/((c**(-2)\/c)\/c))\/c)\/(c**(-1\/3))**39 assuming c is positive.\nAnswer: c**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 5*z**2 - 6*z + 3. Suppose 0 = -4*d - 4*c - 8, -5*d = -5*c + 8*c + 2. Calculate y(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 116\/66)\/(354\/(-531)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 52 = -0*d. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 - 17)*(90 - -1). Let h = 91 + l. Let n = 8.6 + -9.2. What is the nearest to h in n, 3, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62735.\nAnswer: 5, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - -42. Let l be (g - 3)*-3 - -1. Suppose -105197 = -l*j + p, 4*j - 131494 = -j + 2*p. What is j rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-18)\/(-4)))\/((-16)\/72)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -4*c**2 - 4*c + 1. Let m(p) = -8*p**2 - 7*p + 1. Determine -3*m(n) + 5*q(n).\nAnswer: 4*n**2 + n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 + 132*z - 17*z - 19 - 297*z to the form b + n*z and give n.\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154682.\nAnswer: 2, 11, 79, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1445323 and 524?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 + 3 + -4 - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + 41)\/10 + 19 + 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*o + 38 + 113*o - 8)*(1 + 1 - 4).\nAnswer: -14*o - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + -28. Let w = -90 - y. Is 7 a factor of (0 + 112\/3)*(-72)\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 101 = 66*z - 71*z, 2*c + 28 = -z. Sort 3, 0, z, 4 in descending order.\nAnswer: 4, 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10865 is divided by 3099.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) 0.23 (c) 18 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54 + 86. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 8*l**2 - 4*l - 13. Let d(g) = 5*g**2 - 2*g - 7. Give 7*d(a) - 4*p(a).\nAnswer: 3*a**2 + 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 95100916 rounded to the nearest one million?\nAnswer: 95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-18))\/((1\/2)\/((-84)\/126))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 377841 - s**3 - 377841.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2622262 + -35?\nAnswer: -2622330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12*(-5)\/(-2) + -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3450648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 - -60)*(-61)\/(-183). Solve 2*f + 18 = 2*g, -5*g + q = -4*f - 21 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.08? (a) -5 (b) 2\/17 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 6:25 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7 - 6)\/(1\/27). Let c = 2 - -27. Let h be (-6)\/v - c\/(-9). Solve -f + 4*z - 2*z - 3 = 0, -3*f = h*z - 18 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 + 4*y - y**3 + 2*y + 0*y**3)*(0 - 3 + 2)*((0 + 5 - 3)*(4 + 3 - 4) - 1 - 6 + 3 + 3 + 1 - 2)*(0*y + 2*y - 3*y).\nAnswer: -4*y**4 + 12*y**3 + 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5889609?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 3*l**4\/4 + 843*l**3\/8 + 1431*l**2\/4 - 2067*l\/8 - 411\/2 = 0.\nAnswer: -137, -4, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -21*p + 65. Let q be g(3). Let c(h) = 3*h**2 - 9*h + 18. Let t(d) = d**2 - 4*d + 9. What is q*c(i) - 5*t(i)?\nAnswer: i**2 + 2*i - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Suppose 5 = -5*w + 40. What is the remainder when w is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(209))\/sqrt(11))**2 + (sqrt(190)\/(sqrt(10)*3))**2.\nAnswer: 703\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*h - 14, 18 = 5*f - 4*f + 4*h. Let w be (62\/6)\/(f - 10\/6). Solve 5*o + 0*o + 4*u - w = 0, -2*o = -u - 2 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - 1. Let u(d) = 7*d**2 + 5*d - 1. What is 2*p(r) + u(r)?\nAnswer: 9*r**2 + 5*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1 = -4, -55 = -5*u + 5*k. Suppose 5*y + u = 6*y. Calculate the remainder when 57 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 3*f - 4. Let n be d(3). Suppose -2*x + 12 + 28 = -4*g, x + n*g = 13. Suppose 0*a - 3*a = -x. Does 6 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 26139.11l?\nAnswer: 26139110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 6. Let q(u) = -1. Let w(m) = -i(m) + 6*q(m). Let v be (-2)\/(9\/(-3) - -1). Suppose v = -3*t + 4*t. Let o(b) = -14*b. What is t*o(y) - 12*w(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-8)*(-184)\/(-1932)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/3*-32044)\/(148\/(-444)).\nAnswer: 2, 8011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/7)*b)**(-36) assuming b is positive.\nAnswer: b**(-180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 6*k**2 + 5*k + 6. Let t(s) = -s**2 - s. Let p be t(-1). Suppose -4*r + 2 + 18 = p. Give l(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 13*m = 10*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a - 3155 + 2725 - 9695 = 0. What is the highest common factor of a and 7875?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 + 0 - 4*q**3 + 0 - 15*q**3.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*y = 110*y + 36. Let s be (y\/(72\/280))\/1. Solve -3*m + 0 - s = -5*p, 4*m + 28 = 2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2870985, 2870967, 2870949?\n\"Answer: -18*y + 2871003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 8\/495, 18?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*(k*k**5*k)\/k*k*k*k**1*k*k**(-3)*k**(-6) assuming k is positive.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -3*w - 39. Determine s(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a\/(a\/(a*a**(2\/11)*a)))\/a)\/a**(-3\/7)*a**(-3\/8)*a*a\/(a\/a**(-3))*a*a*(a**(-1\/2)\/(a\/((a*a*a**(2\/11))\/a)))\/a**(-36\/5) assuming a is positive.\nAnswer: a**(28081\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Factor 21*m**2\/4 - 555*m\/4 - 81.\nAnswer: 3*(m - 27)*(7*m + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*d + 1361 + 1417 = -3972 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0*z + 663 = 3*u, 0 = u - 3*z - 225. Suppose 6 = 3*i - 66. What is the lowest common multiple of i and (u\/126)\/((-2)\/(-7))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 979 + -983. Let f = -9\/35 - -24\/35. What is the second smallest value in -2, f, 1\/8, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26466 - -35?\nAnswer: -26431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4 - 8 = 0. Suppose -3 = -g*i - 23. Calculate the lowest common multiple of 30 and ((-4)\/i)\/((-5)\/(-200)).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 511532364 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18379 is divided by 409.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a second in microseconds?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -2. Factor -x**4 - 6*x**2 + 15*x**3 + d - 2*x**4 - 12*x**2 - 12*x + 20.\nAnswer: -3*(x - 2)**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 - 26*k + 25. Let o be y(-21). Let m = -89 + o. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 713*b - 2*p + 1856 = 715*b, b - 4*p = 928. Calculate the greatest common divisor of 1914 and b.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/429 and 121\/14334.\nAnswer: 2049762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 30 (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 14360 + 57 + (-2 + -1)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 18 - 16. Let z(h) = h**3 - 5*h**2 + 6*h - 3. Let b be z(4). Solve 2*c = -r - 5, r = a*r + 5*c + b for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c3b (base 16) to base 10.\nAnswer: -3131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -293 + 2*k**3 + 136 + 169.\nAnswer: 2*k**3 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66544 is divided by 174?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 7 = 3*d, -d + 2*d + 3 = -4*h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**3 - m**2 + 1. Let h be s(1). Let c = -9 - -11. Suppose c*b = b + h. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2653 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6132897677 to the power of 1\/2, to the nearest integer?\nAnswer: 78313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4584.268 millennia in centuries?\nAnswer: 45842.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 337, 612, 929?\nAnswer: 1288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7561186)\/(-672) - 20\/70. Let p = t - 11251. Calculate the common denominator of p and 79\/10.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -139.8 + 244.5. Let g = 104 - y. Which is the second biggest value? (a) 1\/8 (b) g (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 - 10*q - 5. Let f be w(-4). Let s be ((-3)\/(-6))\/(f\/12). Solve s*x - 4 = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of 0 + 17*y - 1\/6*y**3 + 1\/20*y**5 + 14*y**2 - 1\/8*y**4. Let t(j) be the first derivative of x(j). What is t(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 - 14*y**2 + 16*y + 38. Is 23 a factor of i(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50977686103 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 4) + (2 - (-1 - -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/5)\/z**8)**(-41)\/((z**(5\/2)\/z)\/z*z*z**(1\/5))**(1\/32) assuming z is positive.\nAnswer: z**(107567\/320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-9) + (-1)\/3. Let h = -1471\/3944 + -1\/493. Which is the third biggest value? (a) h (b) w (c) -7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 2, 8*v - 4*v + 19 = 5*g. Suppose -g*r + 5*i = -5*r - 8, 4*i + 22 = r. Solve -4*s + 18 = r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 - (-6 - -4). Calculate the remainder when (-39)\/(-9) + t\/(-6) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*2*sqrt(9)*-5)\/(sqrt(96)\/sqrt(2)*-6).\nAnswer: 5*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10\/7, -1\/7, -1, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32 - 28?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhj when four letters picked without replacement from jhhjhjj.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 76 = 5*d, 0 = d + 2*x - 9 - 4. Let k be 40\/d + 4\/(-6). Suppose p - k*c + 460 = 0, p - 5*p - 5*c = 1905. What is p rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-7\/5)\/u**(-13\/5))\/(u**(-1\/27)\/(u*(u\/(u**(-1\/20)*u))\/u)) assuming u is positive.\nAnswer: u**(139\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107131, -856987, -2892317, -6855859, -13390351, -23138531, -36743137, -54846907?\nAnswer: -78092579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7930 and 1543048.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*((-524)\/7 + (15 + -8)\/(-49)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f. Let i be p(5). Let z = -5 - i. Suppose z = -g + 8. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -304.08 - -314. Let o = 91 + -81. Let f = o - r. Round f to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17376 to the power of 1\/2, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10 - (-48)\/5. Let k be -2 + (j\/4 - 1). Let o = 104 + -102. Which is the nearest to k? (a) 4\/3 (b) o (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 l when two letters picked without replacement from {o: 7, l: 7}?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x + 52. Let u(q) = q. What is u(z) - v(z)?\nAnswer: -2*z - 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-45)\/6*(-2)\/3. Suppose 0 = -q - 4*o - 4, -q + 3 = 2*o + y. What are the prime factors of 5 + (q + 2 - 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 7:36 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f\/(f*f*f**(17\/5)))*f)\/f)\/f)\/(f**(-1\/37)\/f)*(f*(f*f**(-18))\/f)\/(f\/(f**7*f)) assuming f is positive.\nAnswer: f**(-661\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**0)**31\/(((h*h**(-3\/4))\/h)\/(h\/h**(2\/9)))*(h\/(h\/(h*h**4*h))*h**0)\/(h**(2\/7)*h*h*h\/h**(1\/3)) assuming h is positive.\nAnswer: h**(1153\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (-5)\/((-5)\/(-53)). Suppose y - 4*p = -2*y + 302, -2*y + 3*p + 201 = 0. Let x = y - h. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 7, n: 4}. Give prob of picking 1 n and 3 e.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 67.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 250*k + 246*k - 61 - 13 - 741*k + 243*k to m*k + d and give d.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2941611?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 171444 divided by -1092.\nAnswer: -157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 110 (base 12) to base 15\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a**2. Let f(g) = 0*g**2 + 6*g**2 - 7*g**2. Give b(f(j)).\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(-5 + 0 + 3)*(-3244 + 6690*c - 6691*c - 5137).\nAnswer: -4*c - 33524","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -4*i**2 + 263596*i + 790824 = 0?\nAnswer: -3, 65902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 691 and 3668519?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0046803035 rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w**3 - 7*w**2 + 91*w - 6. Let i(a) = 10*a**3 + 8*a**2 - 106*a + 6. Let b(l) = 6*i(l) + 7*o(l). What is b(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 f when three letters picked without replacement from iiiiiiifffffififffii?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.10973 + 0.11973. What is the closest to 0.09 in -5, m, -4, 1\/3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 5*y - 4. Let h = 10 + -3. Let z = 3 - h. Let c(k) be the first derivative of k**3\/3 - 2*k**2 - 3*k - 2. Calculate z*c(r) + 3*i(r).\nAnswer: 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000031 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 85 - 0.02.\nAnswer: 84.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*y**2)*(-3*y**2 + 2*y**2 + 0*y**2) + 3552*y - 3552*y + 188*y**4.\nAnswer: 186*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 590 + -437. Calculate the remainder when c is divided by 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 65470415 + 5?\nAnswer: 65470420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5603362 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 28*s**3 - 13*s**2 + 17*s - 511. Is l(18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 l, and 1 u when three letters picked without replacement from {n: 1, v: 7, a: 1, u: 1, l: 4, b: 4}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**2 - 1123632768*r + 78909412332708864.\nAnswer: 4*(r - 140454096)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/4 + 13*n**2\/2 - 14*n.\nAnswer: n*(n - 2)*(n + 28)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314805 + 314805 + 2*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of 0*s**6 + 3\/7*s**7 - 1 + 0*s**2 + 0*s**4 - 2\/3*s**3 + 0*s + 0*s**5. What is the third derivative of i(c) wrt c?\nAnswer: 360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 71*j + 311. Let g be o(-73). Calculate the greatest common divisor of g and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 9313809 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -237 divided by 3?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 415, -0.5, -5, -2\/7 in ascending order.\nAnswer: -5, -0.5, -2\/7, 10, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1141*p - 78. Let a be -4*(1\/3)\/((-12)\/63). Is q(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894271 is divided by 3011?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318910 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/464*1*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-9)\/(i*i\/(i**0\/i*i)))\/(i*i*i**(-1\/4)*i*i*i*(((i\/(i\/(i*(i\/i**1)\/i)))\/i)\/i)\/i*i))**(-1\/6) assuming i is positive.\nAnswer: i**(55\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1835*x**3 - 2502*x**3 + 2 - 4619*x**3.\nAnswer: -5286*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2) + (2*sqrt(2))**2)*3.\nAnswer: 3*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.223 smaller than 42119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/240 and 1\/50?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -72483299.\nAnswer: -8\/72483299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes before 4:21 PM?\nAnswer: 1:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*l + 10 - 64 = 178. Solve l*i - 2*r - 26 = 0, 33*i - 30*i - 17 = r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-4\/7))\/(h\/h**(2\/25))*((h*h*(h\/h**(-2\/7)*h)\/h*h)\/h)**31*(h\/h**(1\/6)*h\/(h**(-3)*h))\/(((h**9*h)\/h)\/(h\/(h\/h**(-8)))) assuming h is positive.\nAnswer: h**(94859\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 709 + -708.3. Let x = -0.3 - -0.6. Sort x, 4, p in descending order.\nAnswer: 4, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5 + 1*sqrt(847) - (1 + sqrt(847) + 0))**2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 272 a factor of 90479604?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -560061.77 minus 1852.23?\nAnswer: -561914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**4\/2 + 40*n**3\/3 - 37*n**2 + 36*n - 9. Factor g(r).\nAnswer: -2*(r - 18)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1536 by -202.\nAnswer: 768\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 47*a - 13 + 45*a - 2*a**3 - a**2 to the form h*a + j + z*a**3 + t*a**2 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 7) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2)*-1*-4 + -5 + 5)**2 + ((sqrt(162) - sqrt(162)*1)*3 - sqrt(162))\/sqrt(9).\nAnswer: -3*sqrt(2) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2)**(10\/13)*(f\/(f*(f\/(f\/(f\/((f**(-8)\/f)\/f))))\/f))**(-46) assuming f is positive.\nAnswer: f**(6000\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 4:51 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-12)\/3 + -2 + 83 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53870?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9158892.\nAnswer: 2, 3, 643, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 67175*h + 336000.\nAnswer: -5*(h - 5)*(h + 13440)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 5*d**2 - 3*d**2 - 8 + 5 - d to the form f + q*d**2 + l*d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/99 and -53\/27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -4815*z**4 - 3886*z**3 + 4815*z**2 + 3886*z = 0. What is z?\nAnswer: -1, -3886\/4815, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 8*c**3 + 3*c - 3. Let q(g) = -104*g**3 - 40*g + 40. Determine -6*q(b) - 80*w(b).\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2 + 3 + 1 - o - 9 - 9. Suppose t = -6 - 8. Let r be i(t). Solve 0 = q + r*q + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*(-13)\/((-91)\/(-126)). Solve c*x = 10*x - 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of j**3\/2 - 5*j**2\/2 + j. Let r be w(5). Let l(z) = 3*z - 31. Let v be l(27). What is the greatest common factor of v and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00508108518 rounded to 5 decimal places?\nAnswer: 0.00508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*g = -716, -15 = 5*g + 5. Let r = a - -186. Solve r*u = -0 + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 14 = 4*a, 0 = 2*a - 24*h + 22*h - 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -3\/44, -47?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 7*i**5 + i**4 + 12*i**3 - 2*i**2 - 508*i. Let y(d) = -d**5 - d**4 + 2*d**2 - d. Let j(h) = -s(h) - y(h). What is the second derivative of j(n) wrt n?\nAnswer: -120*n**3 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -12. Suppose -14*t + f*t = 378. Let r be 2*t\/(-6) - (-1 - -3). Solve l + 5*g = r, l - 5*g = 4*l - 17 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 95 and 1465.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 536290 to the nearest 1000.\nAnswer: 536000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/105 + (-52)\/(-10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(122*v - 67*v - 65*v)*(v**2 + 2*v**2 - 2*v**2)*(2 - v - 2).\nAnswer: 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1326*z - 1006*z + 1591*z.\nAnswer: 1911*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g - 7. Let m = 14 + 0. Let o(k) = -6*k - 8. Let w(u) = 7*u + 9. Let b(r) = 6*o(r) + 5*w(r). Give m*b(a) - 6*s(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 0*f - f = -81, a + 2*f = 5342 - 5235 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1079531, 1079537, 1079545, 1079555, 1079567, 1079581, 1079597?\n\"Answer: f**2 + 3*f + 1079527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*a - 2*z, 3*a - 22 = -2*a - 3*z. Let d(r) = 3*r**2 + r**a - 12*r**2 - 432*r + 433*r. Determine d(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -3*s**2 + 2 - 95*s + 87*s + 2*s**2. Calculate j(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 61*o*r**4 - 15*o*r**3 - o*r - r - 731 wrt r.\nAnswer: 732*o*r**2 - 90*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -21*i + 2. What is the tens digit of u(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 19 and 0.5?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {g: 4, s: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rifg when four letters picked without replacement from ffffriifgiffrrifgf.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 523*u**3 + 2 + 225*u**3.\nAnswer: 748*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57 and 2204.\nAnswer: 6612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*o + 170 + 736, -p + 2*o + 214 = 0. Calculate the least common multiple of 4004 and p.\nAnswer: 32032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -23. Suppose -2 = 2*w - o. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0 + 6 = 0. Suppose -4*c - 4*f - 56 = -5*c, 5*f + 97 = l*c. Let z = -1 - -10. What is the greatest common divisor of c and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b**2 + 0*b**2 + 2*b**2 + (0 + 0 - 2*b)*(5*b + 12*b - 10*b) + 3 + 3 - 3 - 2*b**2 in the form p*b**2 + k + d*b and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/544*-51 - 1*-49*(-17 + 16)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 12988\/7 + 327\/(-763). Calculate the greatest common factor of w and 58.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 726008868 to the power of 1\/3, to the nearest integer?\nAnswer: 899","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -4*j**2 - 28607228*j + 57214472 = 0.\nAnswer: -7151809, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 4485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.84 - 2.849516. Round q to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54482499?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37 and 1369?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 3*t - 34, -33*z = 5*t - 31*z - 36. Let k(h) be the first derivative of 5 - t*h - 1\/2*h**2. Give k(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -353322?\nAnswer: -2\/176661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 11*l)*(3 - 1 + 0)*(-2 + 19 + 21 + (-1 - 1 + 5)*(3 + 0 + 2)).\nAnswer: 1166*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 3:29 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1803 - 1804. Let j = 0.7 + -0.5. Let k be 2\/(-3) + (-7)\/12. Which is the closest to -2? (a) j (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**3 + 0*o**3 + 4*o**3 + 4*o**3 - 3*o**3 + 2*o**3 + (-2*o**2 + 4*o**2 - 4*o**2)*(0 + 2*o + 0).\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-3) - 2)*0. Let u be (-43 - -2) + p\/(-1). Let g = -36 - u. Solve -z = 4*z - g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.41 - -2.59. Let t = 0 + -1. Let g = 489.5 - 489. Which is the nearest to t? (a) g (b) d (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 966 divide 21015330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.4309 - -10.47. Let h = -0.44799 + -0.03011. Let j = h + n. Round j to two decimal places.\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -559*k**2 + 1120*k**2 - 561*k**2 - 3*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(18\/12*(-4)\/(-3))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + (1 + sqrt(17) - sqrt(17)))*4.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1403, -6, -4, -2.\nAnswer: -1403, -6, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1411753 + -362?\nAnswer: -1412335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*2.658.\nAnswer: -0.5316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g**2 - 3*g - 1. Let i(q) = 10*q**2 - 2*q - 1. Calculate -5*i(t) + 4*m(t).\nAnswer: -10*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 491076, 1964334, 4419770, 7857384, 12277176, 17679146, 24063294?\nAnswer: 31429620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k. Let m(t) = t + 135*t**2 - t - 141*t**2. Give y(m(r)).\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 6) to base 2.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 19*a**2 - 21*a - 4. Suppose -3*c + 115 = -5*w, -4*c + 25 = c. What is the lowest common multiple of y(w) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3971\/1399 smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8467.8597 minutes?\nAnswer: 5.880458125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 divided by 26?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 11686+-0.09\nAnswer: 11685.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -64 + 64. Suppose -3*q - 7 + 10 = o. Put q, -1, 4 in decreasing order.\nAnswer: 4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 152\/56 - 4\/(-14). Determine c so that -17*c + 12*c**4 + 1 + 12*c**r - 4 + 5*c - 9*c**2 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23299411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 57\/(-6))*4. What is the common denominator of 127\/18*3\/2 and ((-18)\/(-68))\/(m\/230)?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6 - 1 - 2*p + 5 + 0*p. Calculate l(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15327941 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 409*x**6 - 2*x**3 - 16*x**2 - 12*x.\nAnswer: 49080*x**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 19 + 6 = 0. Suppose 30 = x + 3*v, 24 = z*v - 1. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33051752 + 24.1358?\nAnswer: -33051727.8642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 14*b. Let g(c) = 27*c. What is 3*g(y) - 5*t(y)?\nAnswer: 11*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -11*q**2. Calculate a(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*c**2 - 4*c**3 + 3*c**2 + 3*c**3 - 5*c**2 in the form h*c + t + w*c**2 + p*c**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*s + 3*j + 28, 4*j + 60 = 5*s. Suppose -3*x + 4*x + 47 = 4*q, 4*x - s = -q. What is the lowest common multiple of 6 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**3 - 6440*l**2 - 3445808*l - 612520672.\nAnswer: -4*(l + 478)*(l + 566)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4 = -4*b, 3 = -x + 5*b + 5. Solve 0 = -0*u - x*u - 2*h + 18, 0 = 3*u + h - 19 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -576 + 591. Let f = 16.7 + -17.1. What is the nearest to 0 in 4, h, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(272)*6)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -809, -897, -985, -1073, -1161?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -18, 4, -754 in descending order.\nAnswer: 4, -5, -18, -754","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 314839.\nAnswer: 7, 41, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 934 + -2158. Let s = 2103 + m. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 11:01 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -5*n**3 + n**2 + 1274*n + 1273. What is u(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7505344785 and 614.09?\nAnswer: 7505344170.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**3 + 1 - 1)*(-5 + 3 + 5)*(-254 + 1364 + 1237 - 176) in the form h*t**2 + f*t**3 + j*t + l and give f.\nAnswer: 13026","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 125 and 1754684125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 5*y**2 - 9*y - 2. Let u be c(-4). Let q = -7 + u. Suppose -8*s - q = -35. Sort -2, -3, -1, s in decreasing order.\nAnswer: s, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**2 - 2*w + 2*w + (167*w + 5394 - 5394)*(2*w + 3 - 3).\nAnswer: 333*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -6 (b) 1121 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 802449 a multiple of 489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5129487 - 0.02\nAnswer: 5129486.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - -1*-2*1. Suppose g = 3*t + t + 20. Let n(c) = c**3 + 43*c**2 + 38*c - 169. Let y be n(-42). Sort -2\/9, y, t in decreasing order.\nAnswer: -2\/9, y, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 0)*(-3*w + 4*w - 2*w)*(2 + 2 - 1).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50\/(-540)*9)\/(105\/56).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -50994\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 9:45 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 20750 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5 - -2.5. What is the biggest value in 0.1, z, -7\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.005? (a) 2\/3 (b) -5 (c) 2\/7 (d) 6 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/2 - 23673*y**2\/2 + 45359337*y\/2 + 5330664333\/2.\nAnswer: 3*(y - 4001)**2*(y + 111)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 59503246*q**3 + 314*q**2 + 76720?\nAnswer: 357019476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 13*q**2 - 2*q + 1. Let h be d(1). Suppose 3 = b - h. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 10 + 2. Let c(g) be the second derivative of 1\/12*g**4 - 1\/30*g**6 + 0*g**2 + q*g - 1\/20*g**5 + 1\/42*g**7 + 0 + 0*g**3. Factor c(s).\nAnswer: s**2*(s - 1)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdkee. What is prob of picking 1 k and 1 e?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -53, -49, -45, -41, -37?\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.055061ng in milligrams?\nAnswer: 0.000001055061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 divided by 3?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - ((-4)\/12 - (-7507)\/15249). Let r be 4 - (-5)\/(7820\/(-6248)). Let o = n + r. What is the closest to 0 in -0.2, -2\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215511582.\nAnswer: 2, 3, 11, 13, 251179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 - 2)*(-5 + 0 + 2)*(-3*q**4 - 9064*q**3 + 9064*q**3 + 9) in the form g + o*q**4 + z*q**3 + x*q**2 + r*q and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15435910*r**2 + 38375*r + 3754 wrt r?\nAnswer: -30871820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/24 + (-2 - -1). Let m be (-16)\/44 - (-99)\/605. What is the second biggest value in m, z, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -12) + -19 + 18 + 11.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 22*o**3 - o**2\/2 + o + 12. What is the remainder when f(1) is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(-42) + (-110)\/84. Let c = 38\/21 + b. Let i = -0.3 - -0.4. Sort -2, i, c.\nAnswer: -2, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112402 - 1?\nAnswer: 112401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3*m**3 + 7*m - 1 - 12*m**4 + 86208*m**2 - 86208*m**2 to the form b*m**2 + j*m**4 + p*m + n*m**3 + i and give j.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -5*o + 205. Suppose o = -4*d - d. Is 11 a factor of 2*(d\/(-4) - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/3753615 and -97\/18.\nAnswer: 22521690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13504400\/250 - 6\/(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -217 - -226. Suppose -4*o = 8*f - t*f - 22, 33 = 5*o - 4*f. Solve -28 = 5*y - 4*p + o*p, 6 = -2*p for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2020561*d - 1018887 wrt d?\nAnswer: -2020561","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/2 - 39\/(-2). Let z = -21 + s. Suppose -2*t + z*t + 36 = 0. What is the greatest common divisor of 198 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l - 5*l = 11*l - 27 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5384, -10766, -16148, -21530, -26912, -32294?\nAnswer: -37676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(15\/(3\/(-1))))\/(441\/(-735))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -110111100101101111111101 (base 2) in base 12?\nAnswer: -4a69225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 - 5*p**2 - 10*p + 16. Let o be m(3). What is the smallest value in 7\/8, 1\/5, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 4876 = -46*w + 8356 for w.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w + 768 = -0*w. Let l be (-24)\/w - (11\/(-4) + 1). Solve 8 = 3*v + 4*m, l*v - 2*m = 4*v - 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -131*g - 5. List the prime factors of u(-1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + -15. Calculate the common denominator of 51\/7 and 61*1*-1*j\/(-24).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 PM and 10:51 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -2) + (8 - -11 - 11).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33216569 by 71.\nAnswer: -467839","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -38989 to the nearest one thousand.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 21*z**3 - 1 - 162*z**3 - 22*z**3 - 1 - 1.\nAnswer: -163*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-18)*-9*36\/99.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 5*g**2 + 3*g - 7. Let u be f(-7). Let p be 52\/14 + 20\/u. What are the prime factors of 2\/(-2) + p + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2910 by -3.\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**2 - 23*w + 11. Suppose -8*f = -15*f + 784. Suppose -5*q = 3*q - f. Is g(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1020*c**3 + 9*c**2 - 4. Let k(y) = 4 - y**2 - 2*y**2 - 6 - 4*y. Let j be k(-2). Let o be m(j). Round o to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 2\/3, 2\/169?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 285 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381094401.\nAnswer: 3, 179, 709673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(252))*3 - (-5*sqrt(252)*3)**2.\nAnswer: -56709 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/((-132)\/(-8)))\/((-4)\/3).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:09 PM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 838 is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 48. Suppose 0 = 6*v - a*v - 9. Suppose -n = v*n - 29600. What is n rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46030.\nAnswer: 2, 5, 4603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*n - 2683 = 0, 3*n = -3 + 6. Let y = h - -548. Which is the nearest to 1\/2? (a) y (b) 1 (c) -1\/2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000283 rounded to 7 decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/2 + 14*y**2 + 221*y\/2 + 169.\nAnswer: (y + 2)*(y + 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o. Let r(g) = -360*g - 8. What is r(j(d))?\nAnswer: -360*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 10:46 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -3*t + 331 - 265, 0 = v - 2*t + 44 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9048*d**3 - d**2 - 36*d - 9.\nAnswer: 54288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d - 28. What is the units digit of j(-21)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 363876717265862?\nAnswer: 363876717265862.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/68 + 22\/(-24))\/((-4)\/(-12)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 4:12 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-5)\/(3240\/(-2508)) - 6 and 9\/80.\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*l = 15*l + 156 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 - -76. Which is the third biggest value? (a) 5 (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 4990*i.\nAnswer: 2*i*(i + 2495)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5669303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-132)\/(-88))\/((-4)\/1)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 127*k + 71. Let c(q) = 9*q - 5. What is o(c(z))?\nAnswer: 1143*z - 564","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13840 + -13817. What is the greatest common divisor of 8648 and o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = -2*p - 0*p, 0 = t + 5*p + 18. Suppose -4*c - 3*r + 150976 = 0, -t*c + 54091 + 21391 = 3*r. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -2\/5 (b) 8\/5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 8*s**2 + 6*s - 10. What is the remainder when i(4) is divided by 51?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -9*h - 39. What are the prime factors of i(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -21*v + 250. Let g be p(12). Let t be g + 480\/124 + -2. Is 0 > t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 252 + -100. Suppose -4*x + 1 = -19, 4*h + 4*x - j = 0. What is the remainder when h is divided by 24?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89.4 + 32.4. Let u = 72 + g. Is u != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1402*m**2 - 2*m + 2*m + 0*m - 1396*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - -2 - (-8 + 3 + 3). Solve -o*b + 41 = 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 32 = 4*z, 4*z + 4*k - 4 = -8. Let l(c) = 6*c - 11*c + 24*c + 5. Let x(t) = -10*t - 3. Calculate z*l(r) + 5*x(r).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-228)\/(-171))\/(8\/10)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 320 - 318. Suppose b = -2*u, 2*m - u = -0*u + 7. Solve 5*g - 3*r = -5, -3*g - 21 = -6*g - m*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858 a factor of 1887200328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 5*j + 16, 151*o - 155*o + 12 = -5*j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -324 + 7.749253198?\nAnswer: -316.250746802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.55018 millilitres to litres.\nAnswer: 0.00855018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -40, -88, -156?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 10*b - 3. Let n(g) = -g**2 + 9*g - 3. Let w(i) = 4*h(i) - 5*n(i). Let t be 3\/(-2)*(-20)\/6. Let v be w(t). Sort v, 4, 0.\nAnswer: 0, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 - 3. Suppose 4*v + 7*v - 4*v = 0. Suppose 5*h = 4*h. What is the closest to v in h, -0.2, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 490645777*h**2 - 88261259*h?\nAnswer: 981291554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122513 (base 7) to base 14.\nAnswer: 830a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n. Let m(h) = -8*h + 6*h - 10*h. Give w(m(f)).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*d - 151*d + 0*j - j - 1179 = 0, 0 = -d + 4*j for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70575?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047971 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 14258.3 years?\nAnswer: 142.583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.8 - -10.8. Which is the closest to 0.32? (a) y (b) 1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 14 + 2, -4*y = -5*a - 34156. Is y a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1488178.6974 and -0.304?\nAnswer: 1488178.3934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20758466 is divided by 982?\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*a = -14*a - 228 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*m - 20. Suppose 3*b - 9 = -m*x, 0*x = -x. Calculate the lowest common multiple of ((-24)\/b - 2)\/(-2) and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + -2 + (-3 - -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.227 rounded to zero dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v + 6 = 0. Suppose -4*p - 9*b = -5*b - 20, 0 = p - v*b + 10. Suppose 2*d + d - 9 = p. Solve -4*t = -d*a - 2*t + 3, -t = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -749 + 184 + 184 + 182 + 15*r + 199.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*a + 3*h - 2*h, 0 = 3*a - 2*h - 15. Find the second derivative of 5*s - 3*s**a + 8*s**3 - 2*s wrt s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1b3d7a (base 15) to base 2\nAnswer: 101000100100100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2148, 8639, 19458, 34605?\nAnswer: 54080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13736 - -48141. Suppose -3*f = 9103 - z. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -5, -6, -7, -8, -9?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0445 - -0.0555. Let c = -1 - -2. What is the closest to 0.2 in c, 0.06, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-10))\/((-6)\/(-10)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26620*a**2*p - 2*a**2 + a*p**3 + 1367*a + 13*p**2 + 54 with respect to p.\nAnswer: 26620*a**2 + 3*a*p**2 + 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64466 + 34048 = c + 12*c. List the prime factors of c.\nAnswer: 2, 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 24*m + 3. Let n be z(2). What is the derivative of 6 + 0 + 20 + 2 - n*w wrt w?\nAnswer: -51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 668 - 265 = 0. Let q(b) = -7*b + 233. Let k be q(n). Calculate the greatest common factor of 8 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -13, -0.1, -4\/3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 410 is divided by 65.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 19. Suppose -d - 1 = -f. Solve -5*x = -2*x + f for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4103440011 (base 5) to base 12\nAnswer: -2926ba6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -64, -1, -3 in descending order.\nAnswer: 2, 1, -1, -3, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -93*f*r**3 + 946*f*r**2 - f*r*x**2 + 3*f*r*x - 2*f*r + 26*f*x**2 + f*x - 2*r**3*x**2 - 49*r*x**2 wrt r?\nAnswer: -558*f*r + 1892*f - 12*r*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 4*l = -109, 2*b + 5*l - 1560 + 1692 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.9 - -6.9. Let u = 4.2 - o. Let d = 0.4 - u. Which is the second biggest value? (a) d (b) 3 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 15 + 0*y - 1 + 2*y. Let z be c(-10). What is the units digit of 3\/z*-2 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14473123823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d\/(d*d**(-14)))*d\/d**(-3)*d**14\/(d\/d**(-2\/23)) assuming d is positive.\nAnswer: d**(90\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.7 and -0.0737227049434.\nAnswer: -5.7737227049434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w - 73*w - 12*w.\nAnswer: -93*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2) + 4*12\/(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -21. Find the common denominator of -73\/2 and (-14)\/8 + (-5)\/c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 7. Let u(r) = 7*r**2 - 7*r + 3. Let f(b) = 3*b**2 - 3*b + 1. What is a*u(z) - 5*f(z)?\nAnswer: -z**2 + z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*r**2 - 2*g**2*r + g - 5*r**2 + 308 with respect to g.\nAnswer: 2*g*r**2 - 4*g*r + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 9. Let r be j(14). Suppose -2*l = 5*w + 76, 3*w - r*l = -l - 30. Let k be (-1 - 8)*w\/6. Solve -5*a = -6 + k for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + h = 11, 0 = 297*r - 301*r + h - 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1094411 divided by 1094411\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -20, -2, 5, -200?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) - sqrt(2057)*-1)*-2 - (4 + -1 + sqrt(2057)) - (-1 + sqrt(2057)*3 + 3))**2*5.\nAnswer: 4400*sqrt(17) + 658365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 6, 11.\nAnswer: 6, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/2 of a centimeter?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-172)\/(-5)*2\/(-12)*1155\/(-154)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -9*s**2 + 7*s - 4. Suppose 3*v = -3*m + 12, -m - m + 14 = -4*v. Suppose 3*k = 7 + m. Let l(u) = -5*u**2 + 4*u - 2. Calculate k*x(q) - 7*l(q).\nAnswer: -q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**2 + 9*x + 2. Let s(v) = -4*v**2 - 5*v - 1. Determine -5*s(g) - 3*u(g).\nAnswer: -g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-308 - -223) + -6 + 53\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - -87) + -5 + 1. Let t = -82 + k. Solve 0 = 5*q + t*p + 22, -2*q - 13 + 0 = -3*p for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1151274 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -3*(-3)\/6 + 40\/(-40)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -8*n - 10. Let p(f) = 5*f - 3. Let i be p(1). Let q(d) = -3*d + 22 - 41 - 10*d - i*d. What is 6*q(r) - 11*z(r)?\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77.96045 millennia to months.\nAnswer: 935525.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101176483?\nAnswer: 101176483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/75)\/((4\/(-125))\/(2\/(-10)))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -2*o - 128. Is 16 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -518 = -2303*z + 2266*z for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*y + 0 = -18, 0 = 2*z + 5*y + 7. Let x = 13 + z. Suppose -x*c + 14*c + 66 = 0. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 0.025\nAnswer: -0.0275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5601 times -4\nAnswer: 22404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 7*i + 196. Suppose -2*k - 21 = 2*y + 7, 2*y = 2*k + 8. Let m be v(k). What is m rounded to 0 dps?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + 4*v - 8. Let t be i(-6). Suppose 0 = -2*m + t*m - 76. Calculate the remainder when m is divided by 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -236*p - 4*p**3 + 236*p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3447, 6835, 10211, 13569, 16903, 20207, 23475, 26701?\n\"Answer: -y**3 + 3395*y + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 28654.\nAnswer: 49\/28654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fb when two letters picked without replacement from {b: 2, f: 1, v: 5, z: 5, y: 1, j: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (8\/(-12))\/(1\/60). Let b be (-32)\/w*(-10)\/(-4). Solve -4*n + b*j - 32 = 7*j, -n = j + 7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 11*g. Let y(d) be the second derivative of -1\/60*d**5 + 0 + d**3 + 0*d**4 + 0*d**2 + 6*d. Let t(i) be the second derivative of y(i). Give s(t(f)).\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -34*q + 2. Let r be c(-1). Let b = -20 + r. Let w(p) = -p + 18. Let k be w(b). Solve t - 3 - 2 = g, k*t = 4*g + 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -10.899672 and 49.668.\nAnswer: 38.768328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38\/266*14\/(-12).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 2:29 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 - 21*o + 57. Calculate h(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88140129 is divided by 5212.\nAnswer: 5209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 4*y**2 + 10*y + 6. Let g(i) = -3*i**2 - 10*i - 5. Calculate -5*g(l) - 4*t(l).\nAnswer: -l**2 + 10*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 7*x**2 + x - 4. Let d be s(7). What is t in -7 + d*t**2 - 1 - 6*t + 8 = 0?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 40.18854 kilograms?\nAnswer: 0.04018854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4440 = 2*m, -5*m - 10*u + 11140 = -5*u. Suppose -6*f = -m + 538. List the prime factors of f.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -s + 1525, j - 3*s - 293 - 98 = 0. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10138337067*r**2\/2 - 6801561*r - 4563\/2.\nAnswer: -3*(58133*r + 39)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.10675 + -0.02555. Round g to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + 2*a**3)*(11 + 1 + 11) + 0*a**3 + 0*a**3 + a**3 + a**3 - 2*a**3 + 4*a**3 as w*a**2 + x*a + v*a**3 + d and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(76) - (sqrt(76) + 0 - sqrt(76)) - sqrt(76)) + -1 + sqrt(76) + -2*sqrt(76) + -1 + sqrt(76) + -4 + sqrt(76)*-2 + -4.\nAnswer: -4*sqrt(19) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from ldllllll.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 772*l**2 - 9*l - 12. Is 13 a factor of a(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41115.38 millimeters in meters?\nAnswer: 41.11538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 10, -3, -4.\nAnswer: -4, -3, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 43. Let w be ((-10)\/y)\/(15\/9). Put w, 0.06, -2 in descending order.\nAnswer: w, 0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8, 10, 18, 38, 76, 138?\n\"Answer: w**3 - 3*w**2 + 4*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.6 + 0.4. What is the nearest to 2\/7 in g, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.7 (b) -546 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -4, 4\/5, 0, -0.289?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 34. Which is the closest to 2? (a) -4 (b) -1\/3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 - 5*m + 3. Let p be y(0). Suppose 12 = 3*h - 4*i, 19 - 3 = 4*h - p*i. Factor o + 3\/2*o**5 + 0 - 9\/2*o**2 - 11\/2*o**h + 15\/2*o**3.\nAnswer: o*(o - 1)**3*(3*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/159 and 51\/2?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 25 = -5*r, -2*r = -r - 1. Let h = 3729\/13 - 287. Let f = 4 + -4. What is the smallest value in w, f, h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 4:45 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sft when three letters picked without replacement from {s: 3, f: 7, t: 1, b: 5, i: 2}.\nAnswer: 7\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 3:32 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 331616697*d**3 + 830754815 with respect to d.\nAnswer: 994850091*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(8\/14439)*-14. Let j = -389423\/4 - x. Let p = -3736 + j. Calculate the common denominator of -3\/20 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*g = 4*z - 45, -30 = -4*z + g. Solve -4*c = 5 + 7, i + z = -c for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1162613 to the nearest integer?\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2886 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 25.5. Let d = 3.34681278 + -1.84681352. Let w = d + r. Round w to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 = 2*a, 4*u + 34 = -2*a + 38. Solve 0 = u*y + 3*m + 35, 15*m = -4*y + 22*m + 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 0) + (-3 - (3 + -3)) + 135 + -136.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 270240?\nAnswer: 270241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t**2 + 0*t**2 + t**2)*(33 - 8 - 72)*(-3*t + 0 + 0) to m*t**2 + f*t**3 + a*t + d and give f.\nAnswer: 282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21\/2)\/3)\/(((-34)\/136)\/((-4)\/(-8))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/1260 and -27\/4.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 1. Let t(h) be the third derivative of h**6\/120 + h**5\/15 + h**4\/8 + 3*h**2. Calculate t(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14954832961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**2 - 1326 + 495 + 390 + 696 - 2795 to the form w*n**2 + b*n + a and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, 4, -3, -2, 16 in ascending order.\nAnswer: -3, -2, 4, 16, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 15*n + 17. Let z be s(14). Suppose -2*t = t + 4*b - 166, 2*b = -z*t + 170. List the prime factors of t.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31406839?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -109184, -109160, -109136, -109112, -109088?\n\"Answer: 24*t - 109208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 2*d**3 - 2*d**2 + 2*d**3 - 7*d**2 - 1. Let h be g(-9). Let x(a) = 23*a**2 + 2*a + 1. What is the remainder when x(h) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - -60.2.\nAnswer: 52.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*k*o**2*u - k*u - 9*k - 4*o**2 - 3*o*u - 10 wrt k?\nAnswer: 2*o**2*u - u - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1268, 2538, 3808, 5078?\n\"Answer: 1270*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 7*h**2 - 3*h + 5. Let f be c(-6). Suppose -19*w + 2*j = -14*w - 12, 7*j + 3 = -2*w. List the prime factors of (w - 1) + f + 98.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 + (111 - (89 - 25))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**6\/120 + a**5\/30 - 5*a**4\/24 + 2*a**3\/3 + 13*a**2. Let o(u) = -u**3 + 3*u**2 - 6*u + 5. Give -5*n(r) + 4*o(r).\nAnswer: r**3 + 2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-15\/2)*x**(9\/5))**(12\/5))**44 assuming x is positive.\nAnswer: x**(-15048\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 4*r + 126 = 136, 0 = l + 3*r + 17 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163713, 327485, 491257, 655029?\nAnswer: 818801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**3 + 17*z**2 - 6*z - 13. Let h be v(-6). Suppose -c = -12*c + 231. Let d = 8 - c. Is h at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*a**2 + 7*a**2 - 5*a**2)*(a - 11 - 7*a + 8*a) in the form j + w*a**2 + t*a + g*a**3 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, e: 1, j: 2, l: 2, v: 1}. What is prob of picking 1 e and 1 l?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -8\/38659903?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -12*l**2 - 2*l + 12. Let b(a) = 11*a**2 + 3*a - 11. Let j(w) = 3*b(w) + 2*s(w). Let c(x) = x - 1. Let h be c(-6). Is j(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 227 = 191. Let l(g) = 5*g + 7. Determine l(v).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 4) + -2 + 24. Let m = 7 + n. What is the greatest common factor of m and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6*(2 - -1). Let x(z) = 3*z - 32. What is the remainder when x(17) is divided by ((-1)\/p)\/((-1)\/(-14))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-55)\/(-11) - (3 - (7 + 0)). Let 15*n + k*n + 72 - 111*n**2 - 114*n**2 + 227*n**2 = 0. Calculate n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 66 = 5*p - 2973, -587 = -p + 5*x. Does 97 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1793 = 2*v - k, -3*v + k + 2692 = -3*k. Suppose -5*i + v = -1079. What are the prime factors of i?\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Let g be (-3)\/4*24\/(-6). Suppose 0 = j - 5*j + 5*h + 20, 4*h + 16 = 0. Let c = j + g. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1565271, -3130530, -4695787, -6261042?\n\"Answer: r**2 - 1565262*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1403984*v**2 - 369586*v**2 - 229931*v**2.\nAnswer: -2003501*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -96381, 1\/5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 465.\nAnswer: 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-542)\/(-18) + (-2510)\/2259?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - -3. Suppose 2*n - 1 = -5*m + 24, -5*n + 2*m = -r. Solve 13 - 3 = -n*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + t + 19 = 5*w, -7 = -5*w - t. Suppose -11*r + 10*r - 28 = -15*r. Solve 2*c = -5*b + 7, -4*c = w*b + r*b + 4 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 12. Let t(c) = c**3 + 2*c**2 - 4*c + 1. Let k be t(-3). Suppose 0*x - 5*x + 16 = k*n, 0 = 4*x - 3*n + 12. Give d(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7522481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*53\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 7 = d, -k - 5*d + 1 = 2. Suppose -10 = -c - k*c. Solve -10*u + 34*u**c - 8*u**2 - 18*u**2 + 2 = 0 for u.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18188 + -15468. Does 94 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3476aa (base 15) to base 8.\nAnswer: -11436040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -17510440 divided by -1751044?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 6*m - 2. Let p be u(-6). Let w = 67\/76 + -5\/38. Which is the third biggest value? (a) -3 (b) p (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 6:22 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -9*i**2 - 4*i. Let r be (-2)\/(-4)*(-6 + (1 - 7)). Let o(a) = -10*a**2 - 5*a. Calculate r*o(w) + 7*u(w).\nAnswer: -3*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y - 25. Let q be f(10). Suppose 11 = -q*o + 36. Let r = 7 + o. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*p - o, -15 = 5*p - 0*p - 4*o. Let w = 6 + p. Suppose 5*b - 48 = w*b. Solve -4*n = -3*i + n + 17, -5*i + 4*n + b = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2025\/(-25))\/((-3)\/2). Let u = c - 52. Suppose -82 - 76 = -2*z + u*v, -2*v - 242 = -3*z. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (-14 + -2 + 4 - (580 + -541))\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -3, 10, 145, 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*b**2 + 5*b**2 + 1 + 1 - 2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 72 - 27. What is the highest common divisor of 5 and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 23545?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 903340?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2542*p**3 + 2266*p**3 - 2707*p**3.\nAnswer: -2983*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2167515815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15 - -4)\/(4*(-1)\/(-16)). Is z >= -44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = 2*z - r + 27, 3*z + 160 = -4*r. Let l be 5\/((-7)\/(z\/10)). Suppose -l*t + 46 = -3*b, 9*t - 14*t + b + 52 = 0. Solve -k - t = -3*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -21, 0 = -5*b + 15*w - 17*w + 200439. What is the hundreds digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 2:14 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/201, 15, 3, 1 in decreasing order.\nAnswer: 15, 3, 1, 2\/201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8118 - 2540932\/313. Is 1 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2037.0135 months in years?\nAnswer: 169.751125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 139*y - 466834 - 1438022. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*v = 28 + 5 + 27 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(11))**2 - (sqrt(132)\/sqrt(4))\/sqrt(3)) + -4.\nAnswer: -sqrt(11) + 392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11264 and 1024.\nAnswer: 11264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 266806 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18801.8 + -18803. What is the third smallest value in m, 3, 0, 4\/5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/(-2)*(6*62 + 2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-14)\/24))\/((-792)\/1848).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 258?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -41 times 10\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12675607?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 55106 a multiple of 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 1, h: 1, c: 4, k: 5}. Give prob of sequence cw.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 4*d + 44772 = 44658, 12*u + 4*d = 492 for u.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 - f**3 + 3*f**3 + (1 - 5 + 2)*(4*f**3 - 2*f**3 + 0*f**3) + (1 - 6 - 4*f + 6*f)*(2 - 2 + 2*f**2).\nAnswer: f**3 - 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**3 - 10*u**2 + 9*u - 15. Let d be t(-11). What is the closest to d in 0.2, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4913 (b) 27 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 0.0522?\nAnswer: 0.1566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 3*i - 30 = -127, 5*n = 4*i + 447. What is the remainder when n is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0.1. Let i = -3.039 - -0.039. Let z be (-10)\/3*6\/(-5). What is the closest to d in z, -0.3, i?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*s**2 - 7*s**2 + 9*s**2 + 2*s**2 + s**2 - 5*s**2 + (s - 4*s + s)*(-1 + 2*s + 1) + 4 + s**2 - 4 + (0*s - 2*s + 3*s)*(-3*s - s + 2*s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 f, and 1 n when three letters picked without replacement from {g: 3, f: 2, j: 1, c: 2, r: 2, n: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -2*s - 99. Does 21 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2555291 to the power of 1\/2, to the nearest integer?\nAnswer: 1599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2462*x + 699. What are the prime factors of s(-2)?\nAnswer: 5623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 352 - 354. Let s = -1 - -0.5. What is the third biggest value in -0.1, m, s, -5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n + 1. Let z be a(-2). Let i = 8 - z. Solve -6 = 4*r + 3*o + i, o + 10 = -3*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431.3995 nanograms in milligrams?\nAnswer: 0.0004313995","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 + 2*u + 2. Let v(f) = 3*f**2 - 2*f. Let d be v(2). Suppose c - d = 5*c. Calculate the lowest common multiple of 2 and l(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67841 + 180820. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xlpxlqpy. Give prob of sequence ll.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 272959, 545924, 818889, 1091854?\n\"Answer: 272965*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/7 - 1614*a\/7 - 21151\/7 = 0 for a.\nAnswer: -13, 1627","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 8 - (1 + 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z**3 - 204*z**2 + 1784*z + 7296 = 0 for z.\nAnswer: -3, 16, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.274 + -4.274. Which is smaller: o or 42?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 222.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*t + 132 - 4 - 38 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvvv when four letters picked without replacement from xxxvvvxvxvxxvvxxvxvv.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 232 - 219 - ((-3 - -19) + 7)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1162 - -133628\/115. Is 1 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -382 and -471682.\nAnswer: -472064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 256 or -1?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -42, 0.2, -1\/6, -72, -2, 6\/89?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1*(93 - -1))\/((-222)\/555). Let s = 430 - p. Is s a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - f + 31. Suppose 0 = v - 5*v + 12. Suppose -3*b = -2*c - 3, 5*c - v*b - 2*b + 5 = 0. What is the tens digit of a(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 49 = -a, 13 + 35 = 5*p + 2*a. Differentiate 30 + 3*m - 5 - 14 + p*m with respect to m.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cs when two letters picked without replacement from sic?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 184*w - 2741. Let j be f(15). Suppose -3*c - 2*c + 95 = 0. Calculate the greatest common factor of j and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 6*g - 9. Suppose -y - 4 - 2 = 3*c, 2*y = 3*c + 15. Let d = c - 6. What are the prime factors of l(d)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*n = -7*n - 69*n. Solve -6*m + 5*m = -3*f + 5, -5*f + 5*m - 5 = n for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45634.9 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 202022123102 (base 4) in base 7?\nAnswer: 136056425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 4 + -5)\/((-1)\/103). Suppose -128 = -11*x + z. Calculate the remainder when 208 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**3\/3 - 262*g**2 + 2372*g\/3 - 528 = 0. What is g?\nAnswer: -396, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -29*i + 13. Let q(w) = -14*w + 6. Give -6*l(s) + 13*q(s).\nAnswer: -8*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a - 518*a + 921*a.\nAnswer: 415*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l = -5*g - 10*l - 15, 4*g - 4*l = 24 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 304097 - -0.06629585?\nAnswer: 304097.06629585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*x - 2902*c**3 - 95561*c**2*x wrt c?\nAnswer: -12*x - 17412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/124 and 7\/40.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -747*c**2 - 265*c**3 + c**4 - 26*c**3 + 1482*c**2 - 763*c**2 + 23 wrt c.\nAnswer: 24*c - 1746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84629473 is divided by 1666?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2584 - 69*z**2 + 2584. Let o(v) = 306*v - 102*v - 107*v - 96*v. What is r(o(b))?\nAnswer: -69*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1161 (base 16) to base 14\nAnswer: 189b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*d + 415158 - 415150 + 28*d - 9*d.\nAnswer: -27*d + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**0*g)\/g)\/(g**8\/g) assuming g is positive.\nAnswer: g**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 a factor of 597416903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.21529 + 31.78471. What is the nearest to y in 5, 1, 0.3, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 555355*d + 1785393 wrt d?\nAnswer: 555355","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50486, 100709, 150932, 201155, 251378, 301601?\nAnswer: 351824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42894 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-1.49.\nAnswer: -1.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/6, 21 in ascending order.\nAnswer: 1\/6, 2, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*y**4 + 72160*y**2 + 65776*y + 1 wrt y?\nAnswer: 36*y**2 + 144320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/32)\/(1720\/1376).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 401501420 (base 6) to base 14.\nAnswer: c91a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 326826 is divided by 4176?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 + 79. Let v(m) be the first derivative of 1 + 0*m**a + 0*m - 2\/3*m**3. Let u(g) = -5*g**2. Calculate v(u(t)).\nAnswer: -50*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 112 and 1384306?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34925 is divided by 74.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-674.8916.\nAnswer: 2024.6748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*h**3*w**3 + 27*h**3*w - 3*h**2*s*w**2 + 1898430*s*w**3 - 22589*s*w wrt w?\nAnswer: 18*h**3 + 11390580*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 + 6*z + 18*z + 9 + (2 - 2 + 2)*(-4*z + z + 4*z))*(6 - 6 + 6*z**2) to the form l + s*z**2 + j*z + x*z**3 and give x.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = x - 3*b, -7*x + 3*b + 7 = -5*x. Let u(v) = -6*v. Let d(y) = 1. Let g(w) = -w + 1. Let k(r) = d(r) - g(r). Let h = -8 + 5. Determine h*k(t) + x*u(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 5:44 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (10 + (-1 - 0)). Let a be 2\/c - (-114)\/27. Solve a*m + 2*v - 16 = 6*v, 0 = -3*m - 2*v - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 122072\nAnswer: 36621.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -112200100102 (base 3) to base 7\nAnswer: -2312246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/4, -1, -15, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3502*i**4 - 34*i**3 + i**2 - 2224778*i.\nAnswer: 42024*i**2 - 204*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 5:39 PM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 + 10*w**2 - 12*w - 14. What is the remainder when 53 is divided by y(8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 78751 and 1403?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 15?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiiii. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*z + 2 = 35 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-7 + (1 - -8)) - -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*g**3 + 2)*(-3*g + 4*g - 3*g - 4*g - 5 + 5 + (-2 + 2*g + 2)*(-7 + 3 + 0))*(-3 + 1 + 4).\nAnswer: -56*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 9682, 4, -4, -2.\nAnswer: -4, -2, 4, 45, 9682","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17526?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - -b?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h + 1 + 1 + 1 + 2*h.\nAnswer: 4*h + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32253, 32238, 32245, 32280, 32349, 32458?\nAnswer: 32613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g*w**2*y - 367*g*w**2 + 54*g*w*y**2 + 2*g*y - 2*y**2 wrt y?\nAnswer: g*w**2 + 108*g*w*y + 2*g - 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7199826 to the power of 1\/3, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**(-3)\/b*(b*b**14*b*b)\/b*b**15*b**17 assuming b is positive.\nAnswer: b**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29329 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -11*m + 16*m - 6*m. Let f(s) be the first derivative of -s**5\/10 + 5*s**2\/2 - 3. Let q(i) be the second derivative of f(i). Calculate q(t(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 + 47?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27\/2 - -55\/4. Let c(i) be the first derivative of 1\/8*i**4 + l*i**2 + 1\/3*i**3 + 0*i - 5. Factor c(f).\nAnswer: f*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 101206, 101314, 101536, 101866, 102298, 102826, 103444, 104146?\nAnswer: 104926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3 - (4 - 5) - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 719*d - d**2 - 5*d**3 + 725*d + 3*d**2 + 4*d**3 - 4*d**4 in the form k*d**4 + o*d**2 + s*d + p + c*d**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15649?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -434 + 430. Let o = 3 + -2.8. Which is the nearest to o? (a) t (b) -3\/2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (187*r**4 - 283 - 183*r**4 + 470)*(-2 - 3 + 3)*(-1 - 2 + 1).\nAnswer: 16*r**4 + 748","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*q + 1437396 + 2428358 - 1082990 = 0. List the prime factors of q.\nAnswer: 2, 4547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-17)\/a**(-14)*(a\/a**(-1\/6))\/(a*a*(a\/(a\/(a**(-23)*a*a)*a))\/a) assuming a is positive.\nAnswer: a**(115\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 269.9 - 270. Are g and -4\/235 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00939522 rounded to 3 dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*r - 86*r - 9*r)*(7 - 7 - 3*r**2) + (r**2 - 3 + 3)*(0*r - 3*r + 2*r) - r**3 + r**3 - 2*r**3.\nAnswer: 354*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1577)\/114 - -14 - (-9946)\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -326*c + 315*c = -66. Let f(h) = 6*h**3 - 6*h**2 - 7*h + 5. Let m(o) = o**3 - o. Let n = 1 - -4. Let g(z) = n*m(z) - f(z). Determine g(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(3\/2)*z*(z**(-4\/3)\/z*z)\/z)\/(z\/z**(-1))**39*(z**3\/z**(-2))**(-5\/2) assuming z is positive.\nAnswer: z**(-268\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 640 and 18583520?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016 - 2.6?\nAnswer: -2.616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112 (base 4) to base 12.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5129 by -23.\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 306535 divided by -505\nAnswer: -607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.1 - 1.3. Let u = l - 5.79904. What is u rounded to four decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006941425 rounded to 5 dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/10, -70, -2, -3, 210, -1 in decreasing order.\nAnswer: 210, 1\/10, -1, -2, -3, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 75772260 to the power of 1\/4, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -55.17, 4, -8\/7, 0 in decreasing order.\nAnswer: 4, 0, -8\/7, -3, -55.17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/13 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5*j**2 + 16*j + 5. Let r(l) = -3*l**2 - 8*l - 3. Let g(y) = 7*r(y) + 4*t(y). Let d(h) = -7*h. Let v be d(-1). List the prime factors of g(v).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -12, -3, 0 in decreasing order.\nAnswer: 4, 0, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2725 + -39094?\nAnswer: -3666c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -30*y**5 + 14*y**4 - 369*y - 11. Let h(s) = 16*s**5 - 5*s**4 + 185*s + 6. Let i(k) = 11*h(k) + 6*t(k). What is the second derivative of i(u) wrt u?\nAnswer: -80*u**3 + 348*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34229 and 3107?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 12:03 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001888192 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 7 = 3*b, 4*f + 2*b + 24 = -2*b. Sort f, -1, -2 in increasing order.\nAnswer: f, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-2)*4\/(-12). Suppose k*c - b - 11 = 0, -c + 3*b = 2*c - 9. Suppose -14 = -2*i - c*i - 2*f, 5*f + 5 = 0. Solve -q - i = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.86304 to 2 decimal places.\nAnswer: 3.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54633 (base 10) to base 7.\nAnswer: -315165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 26*-1 + 52\/(-130). Which is bigger: p or -27?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 17*z**2 - 50*z + 14. Determine l(4).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mmhhhmhhhhmhkmkhmh.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -13, -1.6.\nAnswer: -13, -1.6, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**(6\/5)*r))*r*r\/r**(-4))**(-1\/34))**17 assuming r is positive.\nAnswer: r**(-23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 112*h**3 - 6*h**2 + 8*h + 2. Let u be w(2). Let d = -2179 - -15311\/7. Find the common denominator of u\/40 + (-5 + 2 - 0) and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7*-12543649.\nAnswer: -87805543","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1419513 less than 1419513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 4.52736?\nAnswer: 4.92736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(11) + (sqrt(275) - sqrt(275)*2)))**2 - (1 + (sqrt(204) - (2*sqrt(204) - sqrt(204) - sqrt(204)))\/sqrt(12)).\nAnswer: -sqrt(17) + 1\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -37 - 3 - (9 + -15 + 16).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1101 (base 2) to base 10\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 18b939?\nAnswer: -18b936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -282?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -88*h**2 + 3*h - 3. Let y(r) = -88*r**2 + 3*r - 1. Let w(b) = -2*k(b) + 3*y(b). Find the second derivative of w(l) wrt l.\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 AM and 7:42 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2300 and 5543.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171250 is divided by 233.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126568 - -126571. Let j(o) = 4*o. Let r be j(-2). Let x be 3\/(-2)*r\/42. Which is the closest to f? (a) x (b) -4 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 + -44. Let d be (-16)\/6*24\/n. Find c such that -12*c + 12*c**2 + 13 - 9 - 4*c**d = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**1)**(2\/9)*(l**0)**(-8)*(l**(-1\/7)*l\/(l\/l**(2\/17)))**(-4\/3) assuming l is positive.\nAnswer: l**(512\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21162994 to the nearest integer?\nAnswer: 4600","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwew. Give prob of picking 1 e, 1 f, and 1 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3821869.\nAnswer: 19, 201151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + z = -p - 4, 3*z = -p - 12. Which is the biggest value? (a) 4 (b) p (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39238875 + -15\nAnswer: 39238860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*13\/(-528320)*2. Which is bigger: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 3*h**3 - 2*h + 10*h**3 + h**2 - 17*h**3 to o*h + k + c*h**3 + g*h**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 15*s**3 + 83*s**2 - s - 23. Let t(n) = -30*n**3 - 166*n**2 + 2*n + 40. Determine -7*g(i) - 4*t(i).\nAnswer: 15*i**3 + 83*i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -18. Let x = b + 21. Calculate the highest common divisor of 42 and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3193899, -4, 5?\nAnswer: 3193899","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-12) + 60\/16. Suppose v - 4*h = -1, -2*v - l*h + 0*h - 14 = 0. Let o be (1\/3)\/(v\/(-3)). Which is the smallest value? (a) o (b) -0.6 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 4:35 PM?\nAnswer: 7:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1331 + -333122233?\nAnswer: -333130230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 4. Let a be f(-3). Suppose -2*l + a = 3*r - 2*r, 3*r + l - 15 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (3 - 12) + (0 - 17)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*h**5 - 373*h**4 - 899*h**3 + 1580339950*h**2?\nAnswer: 2520*h**2 - 8952*h - 5394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14364 = -22*s + 61822. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20887 + -83025\/4. Let k = -130 + d. Let y = -25\/3 + 8. What is the closest to 0 in 4, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.297163554 to 5 dps.\nAnswer: 1.29716","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**3 + 14*z**2 - 4*z + 2. Let v(c) = -c**3 - c - 1. Let x(p) = j(p) - 3*v(p). Let u = -16 + 8. Is x(u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/4 - 10\/(-40). Suppose 5*z = -i*z + 10. Suppose 2*y = -y + 30. What is the greatest common divisor of y and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8505.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9647792\/305 - -31632. Find the common denominator of l and 64\/5795.\nAnswer: 5795","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 122*z**3 + z + 89?\nAnswer: 732*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {u: 16, h: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 2*h + 10*h)*(0 - 2 - 1)*(-3 - 1 + 5)*(-16 - 6 + 7)*(-1 + 0 - 1) to the form g + p*h and give p.\nAnswer: -900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(28*36\/(-192)). Let p(r) = -r**3 - 24*r**2 - 23*r - 4. Let f be p(-23). Which is the closest to -2? (a) f (b) -11 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 23 = 4*v - 240, 4*g = -v + 52. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35273.\nAnswer: 7, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220201 (base 3) to base 4.\nAnswer: 111310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.033 - -6.313. What is the second biggest value in x, 2\/3, -7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 965524?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 280 - 544. Let l = -234 - t. What is the greatest common divisor of l and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 16 = -4*v + 4, -2*p + 3*v = -19. Solve -2*c + 13 = p*c - o, 5*c = -2*o for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-35)\/(-3500)*30)\/(6\/(-3))?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*c + 2 = -l, 3*l - 6 = 4*c. Suppose -j - n - 4*n = 1, -l*n - 14 = -3*j. Solve j*q - 9 = -5*r + 8*r, 3*q - 6 = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(((-36)\/90)\/(160\/50))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 1. Let u = -132 + 135. What is the closest to 1 in h, 9, u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -129114884 from 5.\nAnswer: 129114889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -573, -2334, -5279, -9408, -14721?\n\"Answer: -592*q**2 + 15*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491271853?\nAnswer: 491271853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -7. Find the third derivative of 3*l**2 - 16 + w*l**5 + 16 - l**2 wrt l.\nAnswer: 240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 481832 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 8*k + 180. Let x be q(-20). Let n(j) = 48 + 8*j - x - 20. Calculate n(-7).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 564*l + 42019 + 4555 - 7094 = 0 for l.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 903738960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9062 * 1039.\nAnswer: -9415418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152*t - 6*t - 864 = 304 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 9*c**2 - 18*c - 24. Let w = 21558 + -21565. Determine z(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1250*c**2*l**3*z + 162465*c**2*l**2 - 4*l**3*z + 11*l**3 + 60*z wrt z?\nAnswer: 1250*c**2*l**3 - 4*l**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*((-4*(sqrt(11) - sqrt(88)\/(sqrt(32)\/sqrt(4)))*6 - 5*(sqrt(1331) + -1 + -1*sqrt(1331) + sqrt(1331))) + 4).\nAnswer: -9 + 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 11:15 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 8839505.969?\nAnswer: -8839506.069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -37665\/704 + 588\/11. Let u = t + 11\/64. Let p = -0.6 - -0.5. Sort 0, p, u in decreasing order.\nAnswer: u, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68.96519 minutes to nanoseconds.\nAnswer: 4137911400000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Do 46 and 54 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gl when two letters picked without replacement from {a: 7, l: 3, g: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that u**5\/5 - u**4 + 6*u**3\/5 + 2*u**2\/5 - 7*u\/5 + 3\/5 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-84))\/(10\/(520\/247))?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 3 = -4*b. Let m be 40\/b*(-2)\/(-4). Suppose y - m = -g + 1, -y = -5. Do 2 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 6*s - 20. Let x be 3\/(-6)*(0 - 4). Let l be 34*-1*x\/(-4). Solve -21 = -4*r - s*n, -2*n - n = -2*r - l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2 + -111*3\/(-252) and -18*((-108)\/64 - -2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -127644\/7? (a) 0.4 (b) -0.3 (c) -1\/8 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 10*5\/(-300)*80\/1*-153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43741 + 43286 = -13*r for r.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1841, -3653, -5465, -7277, -9089?\nAnswer: -10901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -0 + 4, -g - 195 = 2*q. Let a(n) = n**3 + 26*n**2 + 26*n + 45. Let p be a(-25). Let f = p - g. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7568, 5.\nAnswer: -7568, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 10:37 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (75*h**2 + 1172*h - 187*h**2 - 1171*h + 2)*(h + 3*h - 5*h).\nAnswer: 112*h**3 - h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = 46 + 75. Let g(r) = r**3 + 13*r**2 + 22*r - 15. Calculate g(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265 (base 7) in base 10?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 21\/3 - (-8 - -16)\/(-8). What is the highest common divisor of b and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -59 (base 16) to base 6\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497*v - 541*v - 7 + 1547*v - 535*v + 5 + 2.\nAnswer: -26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -86019.\nAnswer: -430095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -355, -346, -323, -280, -211, -110, 29?\n\"Answer: s**3 + s**2 - s - 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9724 and 25424384.\nAnswer: 3635686912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfd when three letters picked without replacement from {f: 1, m: 3, d: 11}?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfnnnnhnnnhnnnn. What is prob of picking 1 h, 1 f, and 1 n?\nAnswer: 33\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*z + 13*z - 11000016 = 5*t, 4*t = -4*z - 8800016. Round t to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-18))\/(59\/(36639\/46)).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 272401 to the power of 1\/2, to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + 278 + 0\/3. Let r be (-3 + -1)\/(0 + -1). Suppose -v = -r*u - 44. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28066365 rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36358*b**2 + 5*b - 36335*b**2 + 109041*b**2 - 36352*b**2 + 3*b**3 - 5*b.\nAnswer: 3*b**3 - 4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 18\/(-4 - -3 - 15\/(-6)). Calculate the common denominator of 1 + -4 + 122\/k and -23\/9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 70*x - 2234. What is p(32)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 4*w**2 + 2*w - 1. Let m be k(-4). Sort -0.2, m, 5.\nAnswer: m, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**5 + 324*h**4 + 139101*h**3 - 8431362*h**2 - 1798117860*h + 11061793800 = 0.\nAnswer: -134, 6, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -4 (c) -102.3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2095*n**2*s**3 - 78485*n**2*s + s**3 + 2*s wrt s?\nAnswer: 12570*n**2*s + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3652*t - 2199. List the prime factors of i(5).\nAnswer: 16061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3935 from -0.0224.\nAnswer: -0.4159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**3 - 112547*n**2 - 84407*n + 28136.\nAnswer: -(n + 1)*(n + 28136)*(4*n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.1, -12\/5, 2\/15, 2\/5, -1.06, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/6 + 7*f\/6 - 5\/3.\nAnswer: -(f - 5)*(f - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2291\nAnswer: -1\/2291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (623\/(-126))\/((-1)\/(-3)). Let r = 15 + k. Does r = -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = g - 3. Suppose -15 = -g*u, -2*v + 5*u = -16 - 3. Does 8 divide v - (-1 + (1 - -2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**1*s)*s)**(-1\/11)*(s**(-2\/5))**(-50))\/(s**(2\/19)\/s**(-1)*s*s**5*s\/((s*s*s\/s**(-7)*s)\/s)) assuming s is positive.\nAnswer: s**(416\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 10:46 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -71 - -215\/3. Let p = -0.2 - -0.2. Which is the closest to p? (a) 1 (b) w (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**3 + 1266*t**2 - 16259*t - 37590 = 0. Calculate t.\nAnswer: -2, 15, 1253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 469710984 a multiple of 3971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/3318 and -29\/126?\nAnswer: 9954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2\/9 - 35\/(-45))*207?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1798496 a multiple of 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 7*f**2 + 9*f + 1. Let x be t(5). Which is the second biggest value? (a) -2\/7 (b) 1\/2 (c) 0.006 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 55*n**3 + 824*n**2 - 21*n - 56. Give o(-15).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*n + 5*n + 12*n + n to p + r*n and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + 72526?\nAnswer: 72528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*(b\/(b**(-2\/3)\/b))\/b*b*b)\/b**(-12))**(-1\/54)*(b\/(b\/(b*b**(-5))))\/b**(-8)*b**(2\/5)\/(b*b**(-1\/12)) assuming b is positive.\nAnswer: b**(5113\/1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 28 = -2*l. Let -16*a - a**3 + 25*a**4 + 0*a - 24*a**2 - 19*a**4 - l*a**5 + 3*a**5 = 0. Calculate a.\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42447*f + 34632*f + 734610 for f.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*r - 3922 = 0, 5*r = a - 3862 - 12. Do a and 3906 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*4*15\/(-280)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1.46 and 17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 4. Let b be (-4 + 2)\/(k\/5). Solve -12 = -3*c, 2*o = 5*c - 10 - b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69555*m**2 - 58830*m**2 - 10719*m**2.\nAnswer: 6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 - -81. Sort 1, u, 16 in descending order.\nAnswer: 16, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -3*n**2 + 1\/4*n**4 + 4*n + 17 - 5\/3*n**3. Let a(z) = 5*z + 1. Let q be a(1). Calculate c(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(2\/23))**(-35)*(f\/f**(-2\/27))\/f*f**(-5\/4) assuming f is positive.\nAnswer: f**(-10481\/2484)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = 2*j. Suppose -j = -v + 8. Solve -w = 3*w + v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 - 2*3\/6 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/11 in 5, -1.97, 1, -1\/145, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 1)*-3*7\/21. Let d(k) = -5*k**2 + 11*k + 11. Let j be d(l). Put j, 3, -1, -10 in descending order.\nAnswer: 3, -1, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 - -2. Let h be ((-7)\/21)\/((-1)\/p). Let s = 12 + h. Solve -3*m + 23 = -0*x - s*x, 2*m - 10 = 2*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*v + 268, 6*p - p = -v + 1292. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 11*s**2 - 10*s + 6. What is the remainder when 22 is divided by g(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/160 and -17\/80.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 351d2 + 4?\nAnswer: 351d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -126810.\nAnswer: -12681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -267 (b) -781 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -48*g**2 - 106*g. Let n be s(-2). Which is the second smallest value? (a) 1\/8 (b) -2\/3 (c) n (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 - 13*b - 4. Let w(l) = 5*l**3 - 3*l**2 + 2*l + 1. Let h be w(2). Let o = 48 - h. What is the remainder when 51 is divided by r(o)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 4. Suppose 0 = -q*b - 4*b + 52. Let h(r) = 7*r**2 - 56*r + 222. Let z be h(5). Calculate the greatest common divisor of b and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36193672 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14994.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Suppose -4*b - 3*i = -8, -5*i = b + 2 - z. What is the nearest to -0.1 in 2\/3, b, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = -0*n. Suppose 2 = 2*x - 6. Solve 14 = -n*c + 2*f, 4*c - 2*f + 4 = -x*f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**2 - 256082*d + 256080 = 0.\nAnswer: 1, 128040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 87\/44 and 399\/84 + -1 + 1 - -6?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1006507 (base 9) in base 2?\nAnswer: 10000010111010100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 43172243 (base 8) to base 3\nAnswer: 122101022200211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, a: 1, s: 6, h: 1, r: 1}. What is prob of sequence ass?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*2\/(-6)*5. Suppose 10 = t*c - 15. Suppose -c*o + o + 148 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -18331959\nAnswer: -9165979.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.53 - 4.8. Let z = b - 0.23. Let f = 13 - 92\/7. Sort z, -1, f in decreasing order.\nAnswer: f, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -51*-0.21\nAnswer: 10.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -113*y**3 - 101*y**3 + 110*y**3 - 2*y**3 - 4*y**3 + 7*y**3 + (y - 4*y + 5*y)*(0*y**2 - y**2 + 0*y**2) in the form p*y**3 + t + b*y**2 + q*y and give p.\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3064375 (base 8) in base 10?\nAnswer: -813309","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/5, 55, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.3 (b) 17 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59470 is divided by 4013?\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1. Let u(s) = -221*s**2 - 153. Give -306*j(g) + 2*u(g).\nAnswer: -442*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96909820.\nAnswer: 2, 5, 7, 157, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 - 26. Let l(p) be the third derivative of 0*p - 5\/24*p**4 + 0*p**3 + p**2 + v. Let a(j) = -j**2. Determine a(l(s)).\nAnswer: -25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -4*s**5\/5 - 3*s**4\/4 + 5*s**3\/3 + 3*s**2\/2 - s + 5. Factor l(b).\nAnswer: -(b - 1)*(b + 1)**2*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {z: 2, k: 1, r: 1, b: 1, e: 1, o: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121 = 255*i - 3166 - 15 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127720194?\nAnswer: 2, 3, 7, 1193, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/5 (b) -3 (c) 15730 (d) -4 (e) 0.34 (f) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000069414913 to seven decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1))**(3\/13)\/((t*t*t**(5\/4))\/t**(-2\/7)))\/(t**(1\/2)*(t*t\/t**11)\/t)**(-34) assuming t is positive.\nAnswer: t**(-118943\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89984.\nAnswer: 2, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a centimeter in millimeters?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -154186, -154202, -154218, -154234, -154250, -154266?\nAnswer: -154282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 7*a - 2*a. Suppose -4*p = -31 - a. Calculate the remainder when ((-15)\/p)\/(4\/(-128)) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158621.7 millimeters to micrometers.\nAnswer: 158621700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*6\/72*4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + 4. Let p = 57 + n. Let h(i) = -p*i**2 + 14*i**2 + 14*i**2. Let c(b) = -b. What is h(c(k))?\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of a*p**3 + 8*a*t - 13143*a + p**3*t - p**3 + 4*p*t + 8701*t wrt a?\nAnswer: p**3 + 8*t - 13143","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z. Let g be w(-2). Let m be (g - 0) + (1 - -2). Let o be (-38)\/(-4)*10\/m. Calculate the highest common divisor of 38 and o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 - 5*j + 3. Let m be g(8). Suppose 382 - 127 = -3*z. Let b = z + m. Does 16 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*t = 5395818. Let j be (-51)\/(-2)*(-799672)\/(-6). Let u = t - j. Round u to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 540481055?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 28\/(-42) + 932\/(-6). Let f be 3\/(-5) - m\/160. Sort f, 0.3, 3 in decreasing order.\nAnswer: 3, f, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = -17*v - 5, -36444926*t - 3*v = -36444924*t - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 14. Let v = -0.79 - -0.49. What is the nearest to -2 in v, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j. Let f(x) = 1382*x**2. What is t(f(i))?\nAnswer: -2764*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 5*c = -2*d - 19070, -3*d = 2*c - 7628. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g**2 - 29*g - 75. Let c(h) = -7*h**2 - 29*h - 76. Let b(i) = 7*c(i) - 6*j(i). What is the least common multiple of 88 and b(-23)?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2120 and 10?\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1656*y = -1666*y - 100 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 910 = 2*l + 2*q, 2*l + 5*q + 0*q = 916. Suppose -t + 5*t - 1345 = -3*h, 0 = -h + t + l. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rerprphreaehea. Give prob of picking 1 h, 1 p, 1 r, and 1 e.\nAnswer: 64\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3 + 462*d**2 - 20444*d.\nAnswer: 2*d*(d - 38)*(d + 269)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 695*f**3 - 986901*f**2 + 2955865*f - 4251 = 0. What is f?\nAnswer: 1\/695, 3, 1417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g + 126 - 120 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 2*w + 20 = -w, -5*r + 3*w - 20 = 0. Let j be (45\/(-18))\/(2\/r). Find the first derivative of -4 - 12 + 10*a**4 + j wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.9 and -14642092.\nAnswer: -14642092.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1, 0.0067, 2\/15, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 AM and 1:24 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 3082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -5*n**6\/6 + 35*n**4\/4 + 10*n**3\/3 - 30*n**2 - 40*n + 18. Determine j so that i(j) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/472 and 45\/2714.\nAnswer: 10856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/8)\/m**9*(m\/(m**(-1)\/m*m*m))**(-2\/15) assuming m is positive.\nAnswer: m**(-1111\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-14)*n*n)\/n**0)**(4\/7) assuming n is positive.\nAnswer: n**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 452 divided by -10098\nAnswer: -226\/5049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127703*l**3*m*u**3 - 2*l**3*m*u - 12*l**2*m*u**2 + 530*l*m + u**3 wrt l.\nAnswer: -766218*m*u**3 - 12*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -33433.\nAnswer: -2\/33433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-30) + (-8)\/(-10). Let t = 21 - 19. Sort t, -2\/5, j.\nAnswer: -2\/5, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/((-2)\/(-72)*-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48.3 - -125. Let s = x - 72.7. Let z = 2849\/16 + -178. Put 4\/3, z, s in increasing order.\nAnswer: z, 4\/3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -62*h**2 + 44*h**3 + 9*h**3 + h**4 + 327995 - 420*h - 327347 = 0.\nAnswer: -54, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + n = 2*n + 3, 12 = 4*m + 3*n. Let y(o) be the first derivative of -o**4\/4 + o**3 + o**2 - 34. What is y(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*t**4\/8 + 21*t**3\/4 - 3*t**2\/8 - 21*t\/4 = 0. What is t?\nAnswer: -14, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) -0.2 (b) 0.1 (c) 2\/3 (d) -4 (e) -361\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t - 15. Let u be x(6). Suppose -u*h = -757 - 227. Suppose 4*n - h = -6*c + 2*c, -4*c + 343 = n. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2327*u - 160562. Calculate q(-69).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.2 + 2.33. Let u = 0.12 - m. Let n = 0.02 + u. What is n rounded to two dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 163497285.\nAnswer: 3, 5, 7, 101, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (597 - 583) + (-30 - 0).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(2\/19)*g**0\/g)\/((g\/(g\/((g*g**(1\/5)*g)\/g*g*g)*g))\/(g*((g\/(g**(-1\/15)*g))\/g)\/g)) assuming g is positive.\nAnswer: g**(-923\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21, -83, -209, -429, -773, -1271, -1953?\nAnswer: -2849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4127647 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -7*r - 1. Let z be 1*-3 - -5*48\/40. Suppose -2*k = z*y + 2, 0 = 5*k - 5 - 5. Calculate p(y).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*u**2 - 30*d**3*u - 19*d**3 - 2*d**2*u + 8*d**2 - 11489*d*u**2 - 2*u**2 wrt u?\nAnswer: 4*d**3 - 22978*d - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 53\/5 + 2\/5. Let b be (2 - w\/5)\/1. Let m be 1*(-2 + (-17)\/(-8)). Sort m, b, 3\/2 in decreasing order.\nAnswer: 3\/2, m, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -12511, -12368, -12225, -12082?\n\"Answer: 143*k - 12654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 - 12*s**2 + 10. Let c be a(-12). Let g be 6\/c - -2058*7\/(-10). Round g to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 368 - 396 - 1964\/(-70)?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 26*p - 30*p - 268. Let s = -65 - p. Solve s*y = -0*x + x - 1, 0 = -y - 5*x - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 842099735.6 rounded to the nearest 1000000?\nAnswer: 842000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**2 - 2663. Let q(y) = -y**2 + y - 771. Calculate z(q(p)).\nAnswer: 2*p**2 - 2*p + 1542","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j + 2*j**4 + 2*j**3 - j + 2 + 3*j**2 - 2*j**2 + 9*j**2 to the form c*j + g*j**2 + b*j**3 + t*j**4 + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/378 - 74\/333.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = z + 3*z + 3, 2*z + i = 11. Suppose 0 = -z*q + q + 6, 0 = 4*w - 4*q - 4. What is the second derivative of -3*x + 2*x + 0*x - w*x**5 + 3*x**5 wrt x?\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.04 and 264313?\nAnswer: 10572.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*n - n. Suppose 122 = n*d + 5*w, 0 = -4*d + d + 3*w + 105. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2856 smaller than -2858?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbmvynmymnkn. Give prob of picking 1 k and 1 m.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 648 and 94716.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 915216222 and -0.2.\nAnswer: 915216221.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3005)\/2404)\/(15\/21))\/((-4)\/16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -83, -2, 1, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11175277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-24) - 65\/(-105)*-1. What is the smallest value in 12\/5, -1, 0.4, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 - ((-46 - -48 - (6 - (3 + 1))) + 1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 604\/3 + 296\/3*u**2 + 902\/3*u - 2\/3*u**3.\nAnswer: -2*(u - 151)*(u + 1)*(u + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b3878 - 4?\nAnswer: -1b3880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 262670 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1130 - 2303?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**2\/4 - 4965*g + 4372235 = 0.\nAnswer: -4714, 742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3\/2 (b) -7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 - 4 + 4)*(-3*k + 10*k + 2*k).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.083872 to 2 decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 380 and 1064?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58875660?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -879, -1796, -2739, -3702, -4679, -5664?\n\"Answer: j**3 - 19*j**2 - 867*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422781285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h - 14*h - 11*h)*(6 - 2 - 2)*(10*h + 10*h - 4*h - 19*h**2).\nAnswer: 1064*h**3 - 896*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 4, -81 in decreasing order.\nAnswer: 24, 4, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 460, 870, 1286, 1714, 2160, 2630?\n\"Answer: o**3 - 3*o**2 + 412*o + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1.5, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110222110011 - 12?\nAnswer: 2110222102222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -21. Suppose y*r - 46 + 34 = 0. Suppose 2*k - 101 = -u + 12, r*k = -5*u + 187. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -0.4, 0.5, -0.0052 in decreasing order.\nAnswer: 0.5, 0.3, -0.0052, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16189476.\nAnswer: 2, 3, 179, 7537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -265675 or -265674?\nAnswer: -265675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00747621 rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 45 = -4*v, -v - 5748 = 3*s - 5778 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 4*w**2 - 9*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-10)*(186\/(-36))\/(-31)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 104\/12*(-8 + (-285)\/(-30))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 5 = 4*k. Let i(n) = -3*n**3 - 3*n**2 - 14*n + 8. Let b(j) = 5*j + 6*j + 2*j**3 - 2*j - 5 + 2*j**2. Calculate k*i(y) - 8*b(y).\nAnswer: -y**3 - y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 6 = -4*r + 18, 9 = r + 2*l. Suppose -r*a = -0*a + 4*s + 74, 80 = -4*a + 2*s. Let f = -535\/4 - -157. What is the common denominator of a and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = q + 63, w - 5*q - 3 + 78 = 0. Let t = -61 - w. Let a(p) = 21*p - 75. What is the least common multiple of a(4) and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-13)\/(q*q**(1\/4)*q) assuming q is positive.\nAnswer: q**(-61\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1627 - 94*j - 3248 + 1621 - 462*j)*(3*j + j - 5*j)*(-1 + 0 + 0).\nAnswer: -556*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/4 + 30*s - 123\/4.\nAnswer: 3*(s - 1)*(s + 41)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 80.31334 tonnes?\nAnswer: 80313340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from hhhmmhmmhhhhm.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + n - 3. Let c be a(0). Let r be -1 + (0 - (c - 2)). Let x = r - -1. Let l(q) = -q**2 + 2*q + 3. Calculate l(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -r - 4, s - 4*s + 18 = -5*r. What is the tens digit of (-29 - s)*7\/((-21)\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 4*m + 17 + 15, 0 = s - 4*m - 17. Suppose -2*v - 3*j - s + 3 = 0, 16 = 4*v + j. Suppose 0 = -5*h + 4*h + v. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 33 = 39. Suppose -6 = 6*h - m. Suppose 0 = -3*x - 4*b + 8, b + 2 - 4 = -3*x. Solve x = 2*y - 2*z - 2, -4*z = 1 - h for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 178.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 726883 and 2223.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 172772780?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.5091559km?\nAnswer: 50915.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*x + 3 + 2 + 16 - 1.\nAnswer: 17*x + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of 10*t**3\/3 - 1. Let f(c) be the first derivative of -2*c**2 + 2606. What is n(f(x))?\nAnswer: 160*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 9*a + 5*k = -10, 3*a + 15*k = -60 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 366?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4214439, -4214429, -4214419, -4214409?\nAnswer: -4214399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 728641.4 nanograms?\nAnswer: 728.6414","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*y - 41 + 4, y + 60 = 2*v. Solve 50*m = 271 + v for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1882*d + 28086. What is n(-15)?\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**3\/6 + 8*v**2\/3 + 17*v\/6 - 2\/3 = 0. Calculate v.\nAnswer: -1, 1\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 20*f - 11. Let y be l(5). Let n = 22 - y. Find the common denominator of n and (1 - 0) + -2 - -8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -33, -88, -185, -336, -553, -848?\nAnswer: -1233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 + 27. Let m(n) = -42*n**2. What is s(m(j))?\nAnswer: -8820*j**4 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 22*h + 77. Let b be a(4). Suppose 5*k = -b*q + 40 - 45, 3 = 5*q + 3*k. Solve i = q*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95\/(-175) + (-4)\/(-10)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641*o - 705*o - 1290*o.\nAnswer: -2636*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 132 = 2*p, 9*j - 4*j - 126 = 4*p. Solve 4*k + j = -2*o, 4*k - 3*o - 3 + 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 23 + 37, c + 547 = 3*s. What is the greatest common factor of s and 3285?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 2:00 AM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/(-125)*(-1)\/2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (-6 - -13) - (-3 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/5 in 2, 0.144, -2\/9, 2\/3, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c + 0 + 0)*(4*c**3 - c**3 - 2*c**3) + (2*c**2 - c**3 - 2*c**2)*(1 - 1 - 2*c) - 113*c**4 + 2967 - 2967.\nAnswer: -110*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4376 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106997, -106992, -106987, -106982?\nAnswer: -106977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - q**2 - 3)*(-369*q**3 - 1245*q**3 - 629*q**3).\nAnswer: 2243*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -1745 and -0.5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 9) in base 7?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 5:48 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2*c - 1848 = -1857, 60 = -4*b + c + 33 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/7, 2\/7, 65, -1\/5, -2\/1013, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 38766 and 48.\nAnswer: 310128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 + -4 + -4)*14\/(-189)*90?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.54159 rounded to two dps?\nAnswer: 12.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174136*y**3 + 58053*y**3 + 58061*y**3 + 58061*y**3.\nAnswer: 39*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -88, -169, -250, -331?\n\"Answer: -81*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1573) + 4 + sqrt(1573)*-2 + 2)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(((-66)\/(-24))\/(-11)). Let l(u) = u**3 - 7*u**2 + 15*u - 8. Let c be l(x). Solve c*k - 4 = -3*n, 5*n - 7 = -2*k + 9 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 408 or 404?\nAnswer: 404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11729375 a multiple of 1225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 11:16 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.23 + 23.23. Let j = w - 17.8. Which is the closest to -1? (a) -4 (b) j (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.4441 rounded to 1 dp?\nAnswer: -18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1490107 divided by 4?\nAnswer: -1490107\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 96 = -4840. Suppose 3 = x, -2*n - 8*x + 4*x = -v. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1\/135 - 668\/945. What is the common denominator of n and 65\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937093 is divided by 9562?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 785137.8 litres?\nAnswer: 785137800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 - 1) + (3 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 - 4002995*k**2 - 801172428400*k + 10415918086340.\nAnswer: -5*(k - 13)*(k + 400306)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 202 and 9696.\nAnswer: 9696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:19 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12380\/7 + 4\/7*i**2 - 12384\/7*i.\nAnswer: 4*(i - 3095)*(i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a century in months?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k - 5. Suppose l = -2*l + 15. Let i(h) = 53 - 16*h - 101 + 57 + h. What is l*i(r) + 9*z(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22602 + 22669. Solve -u*r + 118 + 83 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 15. Let c be (-5)\/(0 - 5)*(k - -2). Let r be 4\/c*(1 - 25\/10). Sort 4\/7, -0.5, 0.5, r in increasing order.\nAnswer: -0.5, 0.5, 4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 11100111010100100?\nAnswer: 11100111010101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 656 times -0.2?\nAnswer: -131.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 1\/12325 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 527620923?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 - 42*o + 1163. Let k be z(-61). Solve -5*d = -d - 12, -2*y - 20 = -k*d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1441.11676 + -0.08324. What is z rounded to the nearest 10?\nAnswer: -1440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*n**2 - n**2 + 0*n**2)*(3234161 - 2015*n**2 - 3234161) to d*n**2 + j*n + o*n**3 + c*n**4 + u and give c.\nAnswer: 2015","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 12637600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 29 in descending order.\nAnswer: 29, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -154899171 (b) 0.2 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -8*z + 3*z + 37, 4*w + 19 = -4*z + 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3668, 12498, 27214, 47816?\nAnswer: 74304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1 + -0.1. Let s be (-2 - (-16)\/6)\/((-20)\/(-12)). Which is the nearest to p? (a) 1 (b) 2\/17 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0762483 millennia to decades.\nAnswer: 7.62483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + -20. Let w = c + 18. Let d = w - -42. Does 31 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 48 + 80 = 0. Let m(n) = n + 2. Give m(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6*74\/(-555)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of r*w**6 + 604*r*w**2 + 226*w**6 - w**2 wrt w.\nAnswer: 120*r*w**3 + 27120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 22*i**2 - 96*i - 7. What is s(16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 12 = -0*g. Let r = g - -30. Let l = 54 - r. What is the lowest common multiple of 8 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3200*o - 571*o - 5183*o - 3822 + 1186 wrt o?\nAnswer: -8954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 14 = -3*o. Let s(g) = 7*g**2 + 5 - 12*g + 5*g + 4 - g**o. Calculate s(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1066842?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvqd when four letters picked without replacement from idvgdddvdmvmvqd.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 l when four letters picked without replacement from {l: 9, a: 3}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 17. Solve 4*t - b = 7, 4*t - 28 = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (22 + -28)*(3 - (-15)\/(-6)). Let p(w) = w**2 + w**2 - w**3 + w**2 + 3. Let h(x) = -x**3 + 2*x**2 + 2. What is j*h(o) + 2*p(o)?\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 10*t - 2. Suppose 37 = 6*c - 17. What is w(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 157\/60 and -43\/166020.\nAnswer: 166020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/21*-3*1. What is the closest to 2\/7 in -4, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -149, 5.\nAnswer: -149, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 1694, 3\/7, 2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*k = -2 + 7, 0 = -r + 5*k - 5. Suppose r*t = 2*t + 16. Let c = t + 12. Solve 2*z - z + 5*g - 8 = 0, -c*z = -3*g - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13736264 is divided by 6868042?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2657402.6 and -5.\nAnswer: 13287013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 + 33\/(-12). Let c(y) = 2*y**2 + 4*y + 2. Let f(q) = 7*q + 29*q**2 - 28*q**2 + 3*q**2 + 4. Let k = -5 - -10. Determine k*c(t) + o*f(t).\nAnswer: -2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*(43080\/(-5406))\/10 - (-108)\/(-2862). Find y, given that -28\/17*y**3 - 90\/17*y**2 - 2\/17*y**4 - 104\/17*y - i = 0.\nAnswer: -10, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/58 at least 8808\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1285 - -8. Let a be (-2)\/(-66)*j + 4\/(-22). What is the highest common divisor of 351 and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = n - 3287, -2*n + 250*y + 6598 = 246*y. What are the prime factors of n?\nAnswer: 5, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5527302 + -1?\nAnswer: 5527301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in thirteen fifths of a millisecond?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (-2 - 1 - (-16 + 13)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 3\/2 (c) -26457 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 28166232264 minus -182?\nAnswer: 28166232446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3367 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 279902629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -t - 5. Let h = -3 - t. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.3 (b) 1\/6 (c) 50\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14186 - -14185.89846. What is the second smallest value in -2, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 AM and 10:42 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.918 millilitres in litres?\nAnswer: 0.060918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -6*u**4 - 3884*u**3 - 72994*u**2 - 91724*u - 22608 = 0.\nAnswer: -628, -18, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -136333, -136323, -136307, -136285, -136257?\nAnswer: -136223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-38)\/g**(-30)*g**(1\/83)*g**(-2\/81) assuming g is positive.\nAnswer: g**(-53869\/6723)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/19 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (2*-2*sqrt(68) - sqrt(68))) + sqrt(68))\/(sqrt(16)*2 - sqrt(4)).\nAnswer: 7*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = 8*g - 51*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/127519 or 1?\nAnswer: 2\/127519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*r + 4*p, 2*p - 10 = 7*r - 2*r. What is the third smallest value in -2, -3, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2 + 47)*9228\/84?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.7 - 3. Let g = w - -0.3. Let n be (-28 - -30) + -2*(-33)\/(-30). What is the nearest to g in n, -2, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/2))**2*h**(-2)\/h**(-7)*(h**(2\/21)\/h*h\/h**(1\/8))**47 assuming h is positive.\nAnswer: h**(773\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2*j - 4)*(-j**2 - 9*j**2 - 15*j**2) + 15*j**2 - 96*j**3 - 2*j**2 + 2 + 98*j**3 in the form k*j**3 + z + p*j + n*j**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -24, -3 in descending order.\nAnswer: 5, -3, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 3*g - 65 = 0. Let q be (2 - (0 + 28))*(-39)\/26. Suppose 16*i = 19*i + q. Is g > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v - 2*v + v**3 + (-4 + v**2 + 4)*(-2*v - v + 4*v) + 5*v**2 - 9 - 6*v**2 - v**3 + 8.\nAnswer: v**3 - v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -139+213669818130\nAnswer: 213669817991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8405 - 48298?\nAnswer: -56703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*h - 0. Let s be h\/2*0 - 89. Let t be (1 - 0)*1*s. Round t to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*p = -p - 7*p - 432. Let w(g) = g**2 + 4*g - 43. Calculate w(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r + 3. Let n(f) = 2*f + 4. Let m(w) = 3*j(w) - 2*n(w). Let a(o) = 6*o - 4. Determine 2*a(u) + 10*m(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, -403, 160, -2 in decreasing order.\nAnswer: 160, 3, -1, -2, -403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/((-5)\/((-60)\/6))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 6*k**2 + 6*k - 3. Suppose 5*y = 3*c - 4*c + 6, y = 1. Let q(m) = c - m**2 - m + 8*m - 2. Let t be q(6). Calculate v(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53 - -52. Let d = 0.92 + v. What is the biggest value in 1, d, 0.1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.855 and -6393.984?\nAnswer: 6394.839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/75 and 13\/30.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5196 rounded to 1 decimal place?\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/u**(5\/12)))*u*u*u\/(u\/u**(5\/2)*u)*u)\/(u**(-30)*u*u*(u*u**(-17)*u)\/u) assuming u is positive.\nAnswer: u**(589\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*c - 14*c**2 + 2*c**2 + 10*c**2 in the form n*c**2 + y*c + j and give y.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.082108 rounded to 3 dps?\nAnswer: -1.082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -65.42 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = i - 1. Suppose 3*t - 3*f - 17 = 82, i = t + 4*f. What is the lowest common multiple of (-124)\/(-6) - (-4)\/(-6) and t?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -102*w. Suppose -4*a + 4*d - 36 = -6*a, 3*d = 4*a - 61. Let f(m) = -m**2 + 11*m + 5*m - a*m. What is f(o(q))?\nAnswer: -10404*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 116*m**2. Let i(l) = -l - 64740. Calculate i(w(x)).\nAnswer: -116*x**2 - 64740","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3241*k = 389906 + 133044 - 130789 for k.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0.5. Sort v, -33, 1.\nAnswer: -33, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1331))**2 - (-4 + 2*sqrt(11)).\nAnswer: 20*sqrt(11) + 1336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 301\/21*66\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*j - 5 + 6 - 3*j)*(0*j + j + j).\nAnswer: 2*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93738 = -4685*h - 29391 - 40846 for h.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/2)\/(2\/24). Let n = 87 - 46. Let q = n + -35. Solve -3*y + a = -q*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -210 + 218. Suppose -15*z**5 - 551*z**4 + 24*z**3 + 8*z - 12*z**2 - b*z + 572*z**4 = 0. What is z?\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2968069 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 1 - (79 + -62 + 2385\/288*-4)?\nAnswer: 17\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -53347.5 bigger than 0.505?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 48226264061 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*l - 4*l - 1338 = -437 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -3\/10*r**2 + 0 + 14*r - 1\/5*r**3 - 1\/20*r**4. Let w(h) = 0. Calculate h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*q - 12*z = -9*z - 48, 4*q = -7*z - 2 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -10*y + 14*y - 8, y = 3*n + 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9 - 3\/84*236. What is i in -2\/7 - 2\/7*i**2 + c*i = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + j + 14*j = 4*y + 3*y + 41, -13 = -2*y - 4*j + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 3*m - 4. Let y be o(3). Let x be (-4)\/7*(-21)\/18. Put 1\/19, x, y in ascending order.\nAnswer: y, 1\/19, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 353 = 62. What is the remainder when y is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-34864)\/840 - (225 + -269)) + (-12)\/5.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 900972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, u: 2, v: 1, n: 1}. What is prob of sequence uu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, j: 5, p: 1, t: 1}. What is prob of sequence ft?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2320 divided by -464\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 7)\/(2\/(-1)). Differentiate u + 3 - i*u + 3*u - u wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = v - 4324*a + 4321*a + 39, 0 = 2*v - a + 18 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 167, 5, -1 in decreasing order.\nAnswer: 167, 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes before 8:56 AM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -0.1. Let u = -1.26 + -3.74. Sort 0.19, l, u in descending order.\nAnswer: 0.19, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3657263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*y - 4*t - 13, -3*y = -3*t - 24. Let u(w) = 5*w**2 - 4*w + 4. Let z(b) = 4 - 6*b**2 - 2 - 7 - b**3 + 5*b. What is y*u(p) + 4*z(p)?\nAnswer: -4*p**3 + p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463 is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 3*i**2 - 9*i - 23. Let m be o(-3). Let x(a) = -2*a**3 + 7*a**2 - 6*a + 7. Calculate x(m).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 43*a**2 + 3. Let m(b) = -86*b**2 - 7. Let l(c) = -2*m(c) - 5*u(c). Let h be l(-1). Let n = -11 - h. What are the prime factors of n?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*((-9)\/(-3))\/(-3))\/(-4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.751563 hours in weeks?\nAnswer: 0.540187875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77488 + 111760. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2\/221, 1.8 in descending order.\nAnswer: 1.8, 2\/13, 2\/221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**3 + 4*a**2 + 6*a + 2. Let i(p) = -2*p**3 + 4*p**2 + 6*p + 3. Let f(c) = 2*i(c) - 3*s(c). Solve f(o) = 0 for o.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 178 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(6))\/sqrt(2)*-1.\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/255 and -13\/102.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 182055 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 332 = -2*i + 2*s + 212, -22*i + 20*i - s + 45 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 777167 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 829055205 to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*j*o*v - 226*j*o - 55*o*v - 178*o - 2*v - 2 with respect to j.\nAnswer: 7*o*v - 226*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -83, -39, 0 in ascending order.\nAnswer: -83, -39, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.814 + -7.89. Let j = a + 3. What is j rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 130.3438 to 1 dp.\nAnswer: 130.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 3 - 1)*(-3 - 3 + 4) + 30 - 13 + 22 + (-1 + 0 + 4)*(-2 - 2 + 2))*(-33*l**3 - 19*l**3 + 24*l**3).\nAnswer: -868*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 4*r**3 + r**2 - 1. Let a be v(1). Let d(k) = k + 6. Suppose 6 = -2*n - 0*n. Let h be d(n). Solve -a*z + 23 = h for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j**3 - 42*j**2 - 130*j. Let z(t) = -2*t**3 + 28*t**2 + 87*t. Calculate 5*f(q) + 7*z(q).\nAnswer: q**3 - 14*q**2 - 41*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*h - 2 - 2, 3 = w - h. Suppose 0 = -w*a + 2*a + 252. Let x be 2\/(-7) - (-92)\/a. What is the second biggest value in -1, x, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15432646 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - (-3 + 7 + 6) - (1 + 0)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44, -197, -458, -827, -1304, -1889, -2582?\n\"Answer: -54*w**2 + 9*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 185 = 9*k. What are the prime factors of k?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-1)\/(-1)*-1. Suppose -3*i - 2*z = -0*i - 4, s = -5*i + 4*z - 8. Let q = 5 + i. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -2. Suppose n + 2*z - 39 = b, -5*n - 5*z = -80 - 100. What is the remainder when n is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6397.0889 to the nearest 100.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22.889 * 0.113\nAnswer: -2.586457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13260 - 39789 + 729*s**2 + 13271 + 13258.\nAnswer: 729*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 5)*(12\/(-2) + 8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-2 + -8 - (-9 - -27 - 95)) - -6.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10202120 + 0?\nAnswer: 10202120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 111947.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1121, -9547, -32457, -77105, -150745, -260631, -414017, -618157?\nAnswer: -880305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16279 = 915*b + 4766 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 12:42 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + 20.4157\nAnswer: 20.0157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -v - 0*v + 33, -5*p = -5*v + 90. Factor 8*n**4 - 17*n**3 + 42*n**3 - v*n**3 + 4*n**5.\nAnswer: 4*n**3*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 169*j - 2. Let w(y) = -4*y - 6910. What is n(w(m))?\nAnswer: -676*m - 1167792","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -27, 6, -83, -0.2 in decreasing order.\nAnswer: 6, -0.2, -27, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14011184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3779 (b) -4 (c) 0.3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 28 = -2*j, -2*x = 4*j - 0*j + 36. Which is smaller: -11 or x?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1103, -1572, -1993, -2366, -2691, -2968?\nAnswer: -3197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5649 + -5648.999994641. What is f rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455628892.3 plus 4?\nAnswer: 455628896.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + (sqrt(288) - (sqrt(288) + 0 + sqrt(288))) + 5 - sqrt(288) - 4*sqrt(288)*5)**2.\nAnswer: -2520*sqrt(2) + 127033","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1340653 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = 17*r + 6918184. Let w = -748048 + r. What is w rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7 less than 0.17742477?\nAnswer: -1.52257523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000001010 + 10001?\nAnswer: -1100111111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}