diff --git "a/data/dm_maths/full_data_1/1651_11255.jsonl" "b/data/dm_maths/full_data_1/1651_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1651_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand -4*h**4 + 2*h**4 - h**4 + (-2*h**2 + 2*h**2 + 2*h**3)*(18 - 18 + 10*h).\nAnswer: 17*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243387 is divided by 243367?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**2 - 6*t + 3. Let r be 5 - (-4 - -3) - 2. Give q(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 4*n**2 - 18*n - 16. What is h(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/63 - ((-3)\/9 - 0)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) 1 (b) -1\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (2 - 2 - -5)) + 1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -1\/90 (c) -5 (d) -2 (e) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-68 + (-3597)\/(-109))*(9\/(-10))\/(4\/(-8))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6238 in 49, -0.1, 1, -4, -5?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -1368 and -1368 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - a**2 + a - 2. Let j(l) = -32*l**3 + 4*l**2 - 3*l + 5. Let m(c) = 6*h(c) + 2*j(c). What is the derivative of m(w) wrt w?\nAnswer: -174*w**2 + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t - 5. Let a(d) = -6*d - 4. Let c be (40\/(-16))\/((-2 - -5)\/(-6)). Let s(q) = c*a(q) - 4*n(q). Let v(j) = j + 240. Calculate v(s(l)).\nAnswer: 2*l + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 8:01 AM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 - 522*l - 342712. What is x(436)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181655.\nAnswer: 5, 47, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, m: 7, h: 5, u: 1, c: 1}. What is prob of picking 1 m and 1 c?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 9 + 4)*(-2 + 2 - 1 - b).\nAnswer: -11*b - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 - (-48)\/9. Let i be ((-10)\/g)\/((-4)\/6). Let j = i - -1. Sort j, -2, -5 in descending order.\nAnswer: j, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.23 + -1364233121.62\nAnswer: -1364233120.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 - 5*i + 6. Let q(l) = -2*l**3 + 4*l - 5. Let m = -17 + 23. Calculate m*q(g) + 5*h(g).\nAnswer: -2*g**3 - g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 296847592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32780 is divided by 2979.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -721125.98 rounded to the nearest 100?\nAnswer: -721100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 585, 588, 593, 600?\n\"Answer: v**2 + 584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-761490)\/351648 + 2\/(6*1). Let r = c + 8\/407. Find the common denominator of r and 103\/46.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -642, -752, -962, -1278, -1706, -2252, -2922?\nAnswer: -3722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19804 - 11341. What is the hundreds digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 8*k**2 - 10*k + 1. Let o be d(-9). What is the greatest common factor of 40 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 63*s + 370. Calculate h(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*s**2 + 12*s**2 - 193*s**3 - 41*s**2 + 17*s**2 + 77*s**3 + 109*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -3*x - 48. Let f be 63\/81 + 2\/x. Which is the second smallest value? (a) f (b) -0.3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3529 - 31763\/9. Does -651 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00019084 to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -77, 0, -38, -7566 in descending order.\nAnswer: 0, -38, -77, -7566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22*x**4 - 2*x - 21*x**4 + 6*x wrt x?\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (375*u - 471*u + 301*u)*(3 + 5 - 4)*(-2 - 2 + 5 + (1 + 1 + 0)*(4 - 1 - 1)).\nAnswer: 4100*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-26)*(-4)\/50*-5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 899 + 961. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(-3))\/((-3)\/(-9)). Suppose u - n = -5*m, -2*m = -3*u - 0*m + 21. Let b be -5*u*3\/(-15). Solve 0 = -2*g - 1 + b for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 3 - (3 - (7 - 0)). Solve 5*m = -d + 13, -14 - 2 = -2*m - b*d for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -31*c*o**4*x**2 + 158*c*o**2 - c*o*x**2 - 2882*o**4*x**2 + 659*o*x**2 wrt o.\nAnswer: -744*c*o*x**2 - 69168*o*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 0.051?\nAnswer: 0.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 876596.\nAnswer: 2, 7, 31307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (19\/2 + 3)*((4 - -95) + -3). What is the greatest common factor of 336 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -600 - -413. Let q = s - -386. Suppose -x - q = -5*t + 2*x, -x + 73 = 2*t. Calculate the greatest common factor of t and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 12*c + 12.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 122 = 3*k - 5*k, 4*i + 3*k + 265 = 0. Let j(s) = -10*s + 29. Let h be j(-7). Let r = h + i. Is 17 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 5:54 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s - 298. Calculate d(56).\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 105302254 (base 6) to base 10\nAnswer: 1936762","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-17 - -20)\/((-2)\/(-12)) and 51.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 b, and 1 a when four letters picked without replacement from {a: 3, v: 2, h: 3, g: 4, b: 1, n: 4}.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -85588704 divided by -876\nAnswer: 97704","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(1*sqrt(110) - sqrt(110)))\/(sqrt(30)\/(2*sqrt(3))) + (3 + sqrt(1100)*-1 - 6*(sqrt(1100) + -1))**2.\nAnswer: -1260*sqrt(11) + 53981","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 3*l - 3. Let t = -22 + 18. Let n(c) = -c**2 - 4*c - 4. Let a(i) = t*s(i) + 3*n(i). Let w(f) = -2*f**2 - 62*f + 62*f. Determine w(a(d)).\nAnswer: -2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.42855 to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and 8070.\nAnswer: -11298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -26 - -29. Let r be 3 + (-7)\/l + -2. Put r, -0.3, -15 in ascending order.\nAnswer: -15, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*q = -66*q - 136*q - 7209 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55728417 rounded to three decimal places?\nAnswer: -0.557","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356261 is divided by 2699.\nAnswer: 2692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -230 + (71 - (-159 + 116)).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5)\/(((c*c\/(c**(10\/9)*c))\/c)\/c))\/(c**(-25)*c*c*c*c\/(c**(-13\/6)\/c)*c) assuming c is positive.\nAnswer: c**(1741\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 + 10. Let a(r) = r**2 - 29*r + 114. Find the common denominator of 2\/(-6) + (-269)\/l and a(26).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b27 (base 15) to base 8.\nAnswer: -4720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.775 - 4.645. Let l = r - 1.13. Let z = 24.1 - l. Which is bigger: 28\/5 or z?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24621776 or 49243549\/2?\nAnswer: 49243549\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 98838 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 + 3*r - 3. Suppose 0 = -3*q + q - 4*b - 12, 3*q + 13 = -b. Let z be v(q). Let i be z - (0 - 3\/(-5)). Do i and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22815 at most as big as -22813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -4, 4, 12?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138, -306, -452, -594, -750, -938?\nAnswer: -1176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - 9*s - 138 = 0. Let g = 45 + s. Do 0 and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of j**8\/896 - j**6\/320 - 10*j**2. Factor b(z).\nAnswer: 3*z**3*(z - 1)*(z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1108 - -154. What are the prime factors of u?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -5*b**4\/12 - b**2. Let t(i) = -9*i + 11*i + 7 - 7. Calculate j(t(a)).\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 + 2*n + 9. Let r be o(-4). Let x = r - 101\/2. Let c be (-20)\/6*(-21)\/14. What is the second smallest value in x, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 9430 + 2138. Suppose 6*o - 10*o = -l. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, h: 3, o: 2}. Give prob of sequence hz.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 - 61. What is the second derivative of -25*w + x*w**2 + 15*w**2 - 6*w - 8*w**2 wrt w?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 242361926 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: Is 6556409 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccbbcccc. What is prob of picking 3 c and 1 b?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 170*f - 170*f - 22*f**2 + 23*f**2. Let l(j) = 195*j**2. Calculate l(s(m)).\nAnswer: 195*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**2 - 456291*s - 912570 = 0. What is s?\nAnswer: -152095, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 199*k**4 + k**3 + 3*k**2 - 9*k - 4.\nAnswer: 2388*k**2 + 6*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 r when four letters picked without replacement from aaaaeerrrrara.\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7590 and 30.\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, f: 4, p: 9, g: 2, i: 4}. What is prob of sequence fi?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/2)*c*c\/(c\/(c\/c**(-1\/5)*c))*c**(2\/5)\/(c**(-1\/5)*c))**(-50))**(2\/25) assuming c is positive.\nAnswer: c**(-46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 151, 306, 463, 622?\nAnswer: 783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1992)\/156 + -10 + (21 - -2)?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 432 = 4*d - 4*v, 3*v = -3*d + 243. Let p = d - 84. Put -7, -2, p in ascending order.\nAnswer: -7, -2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217a (base 14) in base 3?\nAnswer: 2020122100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**3 + o**2 + o - 1. Let f be y(1). Let s(x) = -10 + f + 4 + x**2. Let u be s(-1). Solve 0 = 2*l + 3*q - 14, u = -l + 2*l - q + 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -321?\nAnswer: 311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1521 - -4886. Suppose v = 6*b + 665. Is b a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 25 - 23. Let x(j) = -j**2 - j. Let m be x(0). Let d be (14 - m) + (1 - 3). Calculate the highest common factor of d and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2193, -4386, -6567, -8730, -10869, -12978, -15051, -17082?\nAnswer: -19065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -649984*c - 583631?\nAnswer: -649984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25715*n - n**3 + 968*n**2 - 18818 + 13173*n - 4*n**3 - 28040*n - 6075*n.\nAnswer: -(n - 97)**2*(5*n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 105, 2, 195.\nAnswer: 2, 4, 105, 195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/4091101 and -20\/187.\nAnswer: 45002111","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1814 - -241263\/133. Let n = -275\/1197 + y. What is the third biggest value in -1\/4, -4, n, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 15 - 45 = 0. What is the lowest common multiple of 82 and q?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 31*a**2 - 5*a - 3. Let m = -120 - -123. What is the units digit of o(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -30. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 200099339?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001164796614 rounded to 7 decimal places?\nAnswer: -0.0001165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 2*c + 3*c + (2 - 2 + 2)*(3 - 2*c - 3) + 40*c + 12*c - 16*c)*(0*c + 3*c - c) to x + j*c**2 + v*c and give j.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 2.3352.\nAnswer: 4.6704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 15 + 61 = -3*r, -2*r - 4*s - 40 = 0. Let x = r - -43. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from demimimeeeippm. What is prob of sequence id?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 - 7 = 0. Let r be 2\/s*(-2 + 3). Find b, given that -1\/3*b**3 + 0 + 2\/3*b**2 - r*b = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiai when four letters picked without replacement from {a: 14, i: 5}?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i + 6. Let o be s(5). Let l = o + -25. Let t be (-20)\/6*6\/l. Solve 5*b + 4*c = -11 - 10, 3*c = -t*b - 17 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Suppose 2*j - 2*t + 7 + 7 = 0, -2*j - 2*t - 22 = 0. Let b be 2 - 5\/(15\/j). Solve -5*q - b*w - 5 = d, -5*w + 1 = 2*q + 9 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10447.6927 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of w + 12*w**3 + 15*w**4 + 0*w**2 + 5*w**2 + 5*w - 11*w**3 wrt w?\nAnswer: 360*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 AM and 5:19 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + m**2 - 2*m - 8. Determine n(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 291606503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3441232 (base 5) in base 13?\nAnswer: -22335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 8 = -13086*j + 13082*j, -5*i + 5*j = -65 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*k**2 - 9*k**3 + 6*k**2)*((-5*k + 4*k + 2*k)*(6 - 2 - 1) - 3*k + 3*k + k)*(-1 + 4 - 2*k + 1).\nAnswer: 72*k**5 - 144*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54\/(-7 - ((-1 - -7) + (-3941)\/303))?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1266350 and 25650?\nAnswer: 34191450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4057 + 4.\nAnswer: 4061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 + 33 + (-2 - (-1 - 1)) + -18.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25252, -52762, -80272, -107782?\nAnswer: -135292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = 18*a - 1044. What is the common denominator of (-27)\/a*108\/105 and 77\/4?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, m: 1, v: 1, s: 2, t: 2}. What is prob of picking 1 s and 1 v?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 609786 divided by -3?\nAnswer: -203262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13 or -184?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4))**(-1\/5)*(i**0\/i)\/i**(-1\/4) assuming i is positive.\nAnswer: i**(-4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**3 + 15*m**2 - 14*m. Let k be b(14). Suppose k = 13*d - 5*d - 96. Factor d*v**3 + 21*v**5 - 14*v**5 - 11*v**5 + 8*v**2.\nAnswer: -4*v**2*(v - 2)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9029857.\nAnswer: 139, 167, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 169928?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 109 + 112. Solve -m = 3*n + 12 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/4 - -2 - (-16720 - 2). Suppose -5*x = 2*w - a, 3*w - 54*x = -57*x + 25068. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 91\/4 of a kilogram?\nAnswer: 22750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 173.6.\nAnswer: -167.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -0.08, -6, -0.5, -2\/15?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -69, -3, -0.2, -3\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 119467 in 4, 5, -3, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*o + 1 - 2 + 1 - 2*o**2 + 354*o.\nAnswer: -2*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -173*t + 172*t - 20 + 19 + t**4 - 2*t**2 in the form c*t**2 + i*t**4 + u*t**3 + l + g*t and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-820)\/(-3198)*(3 + 27\/(-15))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1852915 * 189.\nAnswer: 35.0200935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*n = 181*n + 12. Suppose -5*g = -4*j + 44, 4 = -n*g + 3*g. Solve -j = 3*a - 15 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(220)\/(sqrt(4)*1))\/sqrt(11)*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -1\/6*d**3 + 1\/2*d**2 - 4*d + 0 - 5\/12*d**4. Let v be (-1)\/((-2 - 0)\/2). Give y(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226833 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + -74 + 60 - -22?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-48)\/(-60))\/(4\/50). Let y be 4\/(0 + 4) + g. Let k = -67 + y. Is -57 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 102*k**3 + 3*k**2 + 4*k - 18. Let v(n) = -n**3 - 35*n**2 - 64*n + 68. Let c be v(-33). What is the units digit of j(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2448 * -1.\nAnswer: -2448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4\/11, 1, -648, 0 in descending order.\nAnswer: 1, 4\/11, 0.3, 0, -648","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -1091, 1, -5, 0 in ascending order.\nAnswer: -1091, -5, 0, 0.5, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**5\/15 + l**4\/4 - l**3 + l**2. Suppose 5448*s = 6849*s - 8406. Let z(f) = -5*f**2 - 5*f + 5. Determine s*z(b) + 5*g(b).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000492437 rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3006 is divided by (-2)\/5*(12 - 32).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -571*z**2 + 327*z**2 + 236*z**2.\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -1 - (2 - -3). Let q(u) = -3*u - 1. Is 4 a factor of q(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuzu. Give prob of picking 2 u and 1 z.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 4*w - 2, -v - w + 13 = 4*v. Suppose -4*p - v = -174. Calculate the common denominator of (7 - 5) + p\/22 and 75\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17 - -5) + 6)*1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9800\/(-325))\/(-98) + (-166)\/286.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.0113, -2, 6?\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -86206 + 183704976\/2131. Let t = j - 27163\/115074. Find the common denominator of 23\/2 and t.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -541 - -541. Sort w, 15, -3 in increasing order.\nAnswer: -3, w, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1057801712 to 3 dps.\nAnswer: 0.106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, f: 1, s: 1, a: 2}. What is prob of picking 1 a and 1 o?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2807034?\nAnswer: 2, 3, 587, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 8*x + 20. Let m be n(10). Let 6\/5*u + 4\/5 - 2\/5*u**3 + m*u**2 = 0. Calculate u.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -178 - -176. Let j(f) = -f**2 + 7*f + 10. Let u be j(7). Put u, 3, b in descending order.\nAnswer: u, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2*q = -2, -o = -q - 13 + 6. What is the units digit of o\/(-32) - (-8370)\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0605405283 rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-385)\/(-14))\/11)\/((-3)\/(-6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/10*10 - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + -3)*(4 - (-51)\/(-12)). Which is the third biggest value? (a) 0.4 (b) -3\/10 (c) -1 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 150112210 or 150112211?\nAnswer: 150112211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 869907942 or 869907940?\nAnswer: 869907942","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*p - 26, -p + 0*p + 25 = 5*x. Let z(j) = 3*j + 8*j**2 - 4*j + j**3 - 12 - p*j - 5*j. Calculate the lowest common multiple of z(-9) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 737 and 59161.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 12 - 19 = -g, -2*g - 5*v + 82 = 0. Suppose -13*i + 6*i = -1477. Suppose -l + i = 4*o + 2*l, -220 = -5*o + 5*l. Is g greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of -b**8\/84 + 92*b**7\/105 + 97*b**6\/30 - 46*b**5\/15 - 16*b**4 + 29*b**2 - b + 8. Let c(m) = 0. Calculate m.\nAnswer: -2, -1, 0, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 1 - (45 + -18 + 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 45002441?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 2*w + 6. Suppose -4*g - 80 = -68. Let i be q(g). Factor 2\/3*v**i + 0*v + 2*v**2 - 8\/3.\nAnswer: 2*(v - 1)*(v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrabai. What is prob of picking 1 b and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -405\/13. Let r = -758\/9 + 84. What is the closest to 0 in r, -0.4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47702 divided by -457.\nAnswer: 47702\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39 + -10 - 7) + -33 + (1 - 1 - 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f + 24. Let o be s(10). Suppose 3*a = r + o*r - 6, 24 = 4*r + 4*a. Put 10, -3, r in increasing order.\nAnswer: -3, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**4\/2 - 11*x**3\/2 + 5*x**2 = 0.\nAnswer: 0, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21048 and 180.\nAnswer: 315720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 6*l + 42. What is the closest to -2 in 2, l, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*l - 15 + 22 - 12, -2*q + 2*l = 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88647?\nAnswer: 3, 13, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -51*r**3 - r*t**3*y + 8*r*t*y - 2*t**3*y - 79*t**3 - t**2 wrt r?\nAnswer: -153*r**2 - t**3*y + 8*t*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 410 = 403 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*s - 12 = 14*s. Suppose -s*d = -7*d. Suppose -y + l - 17 + 74 = d, 66 = y + 2*l. What is the greatest common factor of 24 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12701526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 367*q = -1448 + 2182 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 11650.99960985 + -11651. Round c to five decimal places.\nAnswer: -0.00039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p**2 + 2*p + 2. Let g be f(-1). Solve g = 2*h + 17 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 132061755 to the nearest integer?\nAnswer: 11492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 3:17 AM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*p + 3 = -60*p + 30. Put -2, -26, p, 4, 0 in descending order.\nAnswer: 4, p, 0, -2, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 11 - 1 - (0 + -1). Let i(u) = -2*u**2 - m*u**2 + 17*u**2 + 4 + 3*u - u**3. What is i(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1034 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18172?\nAnswer: 2, 7, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and -299593.\nAnswer: 29959.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 2:14 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 14*z + 112. Let k(v) = 4*v**3 - 7*v**2 + 19*v - 17. Is k(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, 50, 209, 426, 701, 1034?\nAnswer: 1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019601 rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -142\/5. Let z = 1.89 - -0.11. Let v = -1.9 + z. Which is the second smallest value? (a) v (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 65884751421 and 15?\nAnswer: 65884751406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (17640\/4704)\/(120\/1504)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 259444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010111110101101000010 (base 2) to base 12.\nAnswer: 17bb36a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 970502?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b - 3. Calculate n(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**5 - 257646*z**4 - 1030604*z**3 - 1545916*z**2 - 1030614*z - 257654 = 0.\nAnswer: -1, 128827","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 294*t + 158. What is z(1)?\nAnswer: 452","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:23 PM and 8:03 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 28 (c) -0.1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729885561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 4)*(3*c - 3*c + 10*c)*(-2*c + 3*c + c) to the form y*c**2 + k*c + v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 479247 is divided by 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*q - 249 + 289 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 917052310 to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54 + 10*f**2 - 42*f - 2\/3*f**3.\nAnswer: -2*(f - 9)*(f - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 10*y**2 + 3*y - 17. Is 3 a factor of f(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2872027013 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 278691*205\nAnswer: 57131655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -345639*r + 4147665. Determine h(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.3 - -0.1. Let f be 1*(2\/4 + 0). Let a = 1158 + -1161. What is the closest to j in a, f, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*q - 18 = 0, -3*h + 0*q - 5*q = 8. Let w(n) = n**3 + 7*n**2 - 4. List the prime factors of w(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3647824.\nAnswer: 2, 227989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42407 + 298 = 454*a + 483 for a.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115392090 divided by -11055.\nAnswer: 10438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 37*o - 128. What is the remainder when 3743 is divided by f(-21)?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 428 + 29*t - 212 + 7*t - 3*t**2 - 7*t**3 - 216 in the form x*t**3 + o + z*t**2 + v*t and give v.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 9:36 AM?\nAnswer: 12:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 420\/(-16086)*(-12)\/15. Do -1 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*12851078.\nAnswer: 1285107.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqqbqffqbqbqb. Give prob of picking 1 b and 1 f.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/18, 2, -3\/10 in decreasing order.\nAnswer: 2, -1\/18, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -634*x**2. Let n be t(1). Let h = 406 + n. Let y = -15 - h. List the prime factors of y.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - d + 28 = -4*u, 0 = 2*u + 3*d + 4 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m. Let x(f) = -f**2 - 9*f + 8. Let q be x(-10). Let y be v(q). Suppose 40 = 2*a + y*a. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 13. Let i be m(-12). Which is the closest to 0? (a) i (b) 7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21479000 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -85.\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15355, -15354, -15353, -15352, -15351?\n\"Answer: t - 15356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -48 - -7582?\nAnswer: 7533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1478 = 3*p - 2*y + 1485, -4*p - 4*y = -0*p - 2*y + 14 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + l - 3)*(-1 - 11 - 4)*(0 + 0 + l).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 8 = -2*l, 3*c + 20 = 2*l + 8*c. Which is greater: l or 2\/575?\nAnswer: 2\/575","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 377636, 757055, 1136484, 1515929, 1895396?\n\"Answer: k**3 - k**2 + 379415*k - 1779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 - (-1)\/(-2)*2 is divided by (-147)\/(-14) + (-2)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 1. Let l be c(-3). Let g = 23 - l. Suppose 3*s - 26 = g. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 0.1, 2\/7, 0.9 in ascending order.\nAnswer: -13, 0.1, 2\/7, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 48788.1 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*b + 15. Let k be 300 - -2 - (3 - 5). Suppose b*u - 82 = -2*d + 74, -4*d - 2*u + k = 0. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence brrb when four letters picked without replacement from {s: 2, r: 2, b: 7}.\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6*9006 + (38 - 23 - 22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10*318\/(-22525))\/((-6)\/3))\/((-3)\/5).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*(-1)\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/12 and 13\/8562.\nAnswer: 17124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 671919 to the power of 1\/2, to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327867?\nAnswer: 41, 139, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2\/13 (c) -2\/9 (d) -2\/5 (e) 13 (f) 584\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 = -26*f + 163. Which is the closest to -0.2? (a) 0.5 (b) f (c) 2\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three eighths of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1368)\/42)\/(-3)*21\/6. Solve 0 = 2*z - 5*q + 2, -w*z - 5*q + 18 = -36*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 90072 and 30024.\nAnswer: 90072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (45\/10 + -2)\/((-19)\/(1216\/(-48)))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**7\/5670 - r**6\/270 - 4*r**5\/135 + 19*r**4\/12 - 66*r**2. Let j(o) be the second derivative of d(o). Factor j(c).\nAnswer: -4*(c + 2)*(c + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (-1)\/(2\/4). Suppose h = 3*r + o, 0 = 2*r - 5*r + 5*h + 9. Let g = 7 - r. Is 4 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2038606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g, -344*t + g = -345*t - g - 20 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38772522125.2 less than 217?\nAnswer: -38772521908.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*o - 291*o - 109*o.\nAnswer: -455*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 191*h**3*i**2 - 257*h**3 - 2832*i**2 + 20*i wrt h?\nAnswer: 573*h**2*i**2 - 771*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7083 + 11*f - 4*f + 43*f**2 + 7081 + 77*f**2 + 54*f**2 in the form n*f + r*f**2 + q and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - -8)\/(-4)*-5. Suppose 72 = l*p - 6*p. Suppose -4*r + 20 = 5*u - 3, -p = -3*r - 4*u. Solve f + 0 = r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**3 + 5*p**2 + 1 + p**2 - 12. Let d(n) be the second derivative of n**2\/2 + 7*n + 6. Let c(a) = 3*d(a) + v(a). Find w, given that c(w) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 + 10. Let c = 65 + i. Suppose -4*z = -116 + c. Calculate the remainder when z is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 436 + -437. Which is the smallest value? (a) -4\/7 (b) 2\/3 (c) 2\/9 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -347.12 and 0.01 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -29, 1\/3 in ascending order.\nAnswer: -30, -29, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 1. Let c(x) = 1. Let f(w) = -c(w) - q(w). Let i(p) be the third derivative of -p**4\/24 + 10*p**2. What is i(f(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -592, -2359, -5304, -9427, -14728, -21207, -28864?\n\"Answer: -589*z**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*g + 16*g + 15*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 50 = -2*c, 11*c - 36 = -4*z + 6*c. Let q = 18 - z. Suppose 0*i + 28 = q*i. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-396))\/(3140\/3454)\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -52*o + 61. Suppose 0 - 1\/4*h**o + 0*h = 0. Calculate h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -10, -3, -2\/3 in decreasing order.\nAnswer: 2\/7, -2\/3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -1. Let m be 0\/(-1) - 3 - 104\/(-13). Let h(b) = 19*b - 21. Let a(u) = 9*u - 10. Let s(y) = -13*a(y) + 6*h(y). Let z(c) = m*j(c) + s(c). Give z(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 1. Let k(v) = -v - 8. Let q(g) = -2*g**3 + 58*g**2 + 2*g - 53. Let a be q(29). Determine a*u(c) - k(c).\nAnswer: c + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 2 + ((-7984)\/(-2) - (-1)\/(-5)*-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 10:47 AM?\nAnswer: 11:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1245 - b**2 - 6*b + 1174 + 6*b to v*b + q*b**2 + k and give k.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ih when two letters picked without replacement from {i: 1, h: 1, p: 2, c: 2, z: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10906234*r**5 + 11807596*r**2.\nAnswer: -654374040*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2026 - 326 = 0. Suppose -438 = -4*w + t, 3*w - l + 5 = 4*t. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 3*d**3 - 5*d**2 - 5*d + 16. Let l(f) = 4*f**3 - 7*f**2 - 7*f + 24. Let a be (-1)\/(4\/140*-7). Calculate a*l(b) - 7*w(b).\nAnswer: -b**3 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15120435801 + -15121208600.9983. Let h = 772837 + r. Let l = 37 - h. Round l to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -114 - 12?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6 - (-26)\/(-6)) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + i + 1. Let y(z) = -2*z**2 - 3*z - 2. Let c be ((-180)\/(-450))\/((-2)\/150). Let r be (-244)\/c - 64\/480. Calculate r*q(l) + 3*y(l).\nAnswer: 2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88061 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1153?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/36)\/((-20)\/90)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101001 + -100000111011010111000?\nAnswer: -100000111011000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 7, 11 in increasing order.\nAnswer: -4, -3, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -2*q + 6, 0 = -q + 5*o - 146 + 131 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-5)*z**(1\/2))**(14\/9))**(6\/5) assuming z is positive.\nAnswer: z**(-98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, -1.4, 5 in decreasing order.\nAnswer: 5, -1.4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7507*b**2 + 142*b**3 - 7507*b**2)*(26 - 74 - 55).\nAnswer: -14626*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 893 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v = 5*y + 21, -3*v + 3*y + 21 = 0. Let s = 0.13 + 3.87. Let h = -4.5 + s. Which is the second smallest value? (a) h (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -449.044 - -450. Let v = 0.016 + -0.06. Let y = v - d. What is the closest to 2 in 1\/4, y, -2\/19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 4*m + 8. Let f(q) = -5*q - 7. Give -7*f(t) - 6*p(t).\nAnswer: 11*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 0*b**2 + 2*b**2)*(3 - b - 3 + (4 + 2*b - 4)*(1 - 5 + 2) + (-8 + 13 + 8)*(9*b + 4*b - 10*b)).\nAnswer: 136*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + 75\/(-10))*(-5 + -1). Let l(m) be the first derivative of -m**4\/4 + 2*m**3\/3 + m**2\/2 + m + 2. Calculate l(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18090389 - 36180880 + 3*l + 18090494.\nAnswer: 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/221350 and -77\/7238145.\nAnswer: 72381450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -5. Let w = -1707477\/2 - -853739. Solve 20*y + 5*y**u - 33\/2*y**2 - w*y**4 - 8 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 AM and 2:10 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, n: 4, y: 2}. What is prob of sequence ne?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5*c = 90, 3*i + 50 = -0*i - c. Let k be i\/28 + (-36)\/(-14). Suppose -5*p = 2*y - 26, -2*p + 3*y + k*y = -22. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*b - 569, 0 = -4*b + k + 566 - 109. Suppose d = 68 + 8. What is the highest common divisor of b and d?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x + 50*x**2 + 284 + 1542*x**2 - 277.\nAnswer: 1592*x**2 + x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2892*0.01.\nAnswer: 28.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**2\/7 - 169*f\/7 + 8 = 0.\nAnswer: 1\/3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 45819?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pnpp when four letters picked without replacement from nptppptptnyppptp.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4046.31312 - 59879.28508. Let s = 63920 + i. Let f = s + 5.6. Round f to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27418*c**5 + 22*c**3 - 3568132*c**2.\nAnswer: -1645080*c**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 278832394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 - 17*s**2 + 89*s - 1. List the prime factors of f(7).\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**9\/(d\/d**(-40)*d) assuming d is positive.\nAnswer: d**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 632742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or 12.40974?\nAnswer: 12.40974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(6\/5))\/i**5*i**6\/(i*(i\/(i\/i**(-8\/3)))\/i) assuming i is positive.\nAnswer: i**(52\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/((-60)\/8))\/(-32)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (1 - 0) + 0. Let r(i) = -i**3 - i**2 + 2. Let l be r(d). Put l, -3, 1 in descending order.\nAnswer: l, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -16*v**2*w**2*z + 18*v**2*w**2 + 5*v**2*w*z**2 - 2114182*v*w**2*z**2 - 2*v*w + 1074*v*z wrt z?\nAnswer: 10*v**2*w - 4228364*v*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 2315\nAnswer: -11575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - o - 10 = 0, 4*o = -k + o - 6. Let q(z) = -z**2 - 13*z - 8. Let u be q(k). Solve x + 3 = 3*p, 8 + 4 = -u*p - 4*x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-14) + ((-14)\/(-49))\/((-4)\/(-88)). Solve 2*j = -j + g - 9, 2*j - g = -i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*x + 6 - 2, 0 = 3*k + 2*x - 4. Solve r - 2 - 3 = k for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -226 - 89. Suppose 5*i - j - 2*j = 95, 3*j + m = 3*i. Suppose 2*f - i = -0*f. What is the highest common divisor of f and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) -1 (c) -114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**3 + b**3 - 3*b**3 + (b**2 + b**2 + 0*b**2)*(-2*b - 4*b + 3*b) to t + l*b**2 + z*b + r*b**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -16. Solve l*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 + b - 3. Let u be r(-3). Let n = u - 3. Solve -3*x**4 + 4*x**4 + n*x**3 - 6*x**2 - 6*x**4 + 2*x**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2601474262 to the power of 1\/2, to the nearest integer?\nAnswer: 51005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express j**4 + 59602826*j**2 - j**3 - 59602823*j**2 - j**3 as o*j**3 + y*j**2 + k*j**4 + u*j + m and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 155*d**2 - 94 + 79*d**2 + 78*d**2)*(-6*d - d + 3*d).\nAnswer: -8*d**3 - 8*d**2 + 376*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 396\/(-11)*(-72)\/(-16)*8\/48\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 0*x**2 + 5*x**2 - 5*x**3 - 3*x**2. What is the tens digit of p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 217720 to the nearest integer?\nAnswer: 467","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 PM and 12:03 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.7233 millimeters to kilometers.\nAnswer: 0.0000927233","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of -8*n + 1\/3*n**3 + 0 + 0*n**2. Let q(a) = -9*a. What is r(q(f))?\nAnswer: -18*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**3 + 49*g**2 + 19*g - 48. Determine l(-15).\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7*i - 4*q = 125, 0 = -q. Suppose c + i = 6*c. Is 25\/1 + c + -4 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, w: 2, f: 1, j: 2, z: 2, e: 2}. What is prob of picking 1 f, 1 v, and 1 j?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-39 + 2 + -20)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 487\/4 + -481\/4. Which is the nearest to -2? (a) z (b) 0.6 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 119.5 * -3.\nAnswer: -358.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c + 4. Suppose g + 0*g = -a + 3, 2*a + g = 7. Let l(o) = 6*o - 7. What is a*l(n) + 7*h(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 - 4*k**2 - 5*k - 3. Let i be n(3). Solve i*c - 1 = c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 + 12*i - 11. What is the tens digit of f(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234*n = 237*n + 2*j - 1, -158*j = 3*n + 155 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27050000 rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5*(sqrt(102) + (sqrt(102) - sqrt(102)*1) + sqrt(102) + sqrt(102)))\/(sqrt(54)\/(sqrt(18)\/sqrt(2))))**2.\nAnswer: 3828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21518, -172294, -581536, -1378478, -2692354?\nAnswer: -4652398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8305568?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 7)*-3 - 114\/20. Let u(n) be the first derivative of 5 + k*n**2 - 1\/15*n**3 + 0*n. Factor u(a).\nAnswer: -a*(a - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41 and 233249.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -4*t. Suppose -3*p = -8*p. Let n be 10\/5 + (p - -2). Let a(x) = -n*x + 0*x + 7*x. Determine a(i(h)).\nAnswer: -12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yjujjjzpjvjyy. What is prob of sequence yy?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 556961.\nAnswer: 37, 15053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q - 7. Let m be f(-5). Find the first derivative of -8*v + 2 + 3 + 2 - m*v wrt v.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9777.08 rounded to the nearest 10?\nAnswer: -9780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1110*a**3 + 1110*a**3 - 41 + 20*a**4 wrt a?\nAnswer: 80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - s. Let v(r) = -24*r**2 - 3*r. Calculate 3*d(m) - v(m).\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460524 to the power of 1\/3, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -3.2. Let m = 7 - 11. Sort -0.5, p, m in increasing order.\nAnswer: m, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50074954?\nAnswer: 2, 25037477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 102294587 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-320)\/(-24))*3\/(-2). Solve -2 = -v + z, -4*v + 2*z - c = -8*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3593\/3 - -1241. Let f = 44 - z. Let w = 24 - 122\/5. What is the nearest to w in f, -2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7479432?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 + -1)\/((-2)\/(-1)). Suppose -2*b = -3*x - 197, -5*b - h*x + 192 = -3*b. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 AM and 1:01 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 165 - 168. What is the least common multiple of (-82)\/(-8) - 3\/12 and 2\/(0 + (y - (-39)\/12))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/7 - 7486*w**2\/7 - 222780*w\/7.\nAnswer: -2*w*(w + 30)*(w + 3713)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 + 3*q**5 + 0*q**5 + (-2 + 1 - 1)*(0*q**2 + 2*q**5 + 0*q**2) - q**5 + 7*q**4 - 7*q**4 + (0*q**3 - 2*q**4 + 0*q**3)*(-15*q + 18*q - 116*q).\nAnswer: 223*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -275717*q + 137864*q + 138107*q.\nAnswer: 254*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m**3 + 6*m**2 - 5*m + 20. What is the tens digit of h(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87785 is divided by 85568.\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75 and 20350.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -84 + 86. Put h, 2\/17, -1, 0.04 in descending order.\nAnswer: h, 2\/17, 0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 2 - 6\/(-6). Let v be (-2468)\/10*x\/14. Let g = v + 9567\/80. Find the common denominator of g and -29\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-10) - (5 - 246\/(-10)). Calculate the common denominator of (-119)\/(-15) - (-3)\/18 and -3 - (9\/o)\/(12\/(-295)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - 9\/(0 + 3). Suppose -5*c + 4 = 3*f, 5*c = -a*c + 4*f + 18. Let s = 3.4 + 0.6. What is the closest to c in 2, -2\/3, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/4 (b) 235 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = -25*z + 71 + 33 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 20 = -0*p. Let q = p - 6. Let n be (q\/8)\/(2\/8). Solve n*k - 8 = -0*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/9 + (-152)\/12. Let t be ((-4)\/4)\/(2\/b). Solve 17 = -3*u - 2*d, 0*u + u + d + t = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 - 1 + 1 + (-3*v + 2*v + 6*v)*(-2*v + 0*v + 3*v) + 2 - 2 + v**2.\nAnswer: 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 230*c = 233*c + 36, -k + 24 = -2*c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*s**3 - 60*s**2 + 216*s + 3 wrt s?\nAnswer: -30*s - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/158 and 12\/395.\nAnswer: 790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x + 1. Let w be n(-5). Let d(z) = z**2 + 52*z + 352. Let l be d(-44). Sort -5, l, -6, w.\nAnswer: -6, -5, l, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3088?\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1930*r**5*s**3 - 8*r**5*s + 2*r*s**3 + 2*r - s**3 - 5324*s**2 + 5*s wrt r?\nAnswer: -38600*r**3*s**3 - 160*r**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nqrqyrqjrqyqjrrlr. What is prob of picking 1 y and 2 j?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3 - 2*m - 4 + 4 - 7 - 2*m**2. Let q be x(3). Let p = -15 - q. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4364364 and 60188?\nAnswer: 1468","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 2*h - 0*h - 81, 4*h = -3*j + 63. Let w(o) be the first derivative of -o**2\/2 - 7*o - 10. What is the remainder when j is divided by w(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4015, -7664, -11313, -14962, -18611?\nAnswer: -22260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*i + 19*i = 495. Solve -1 = -q - 5*x + i, 0 = -2*x for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1956\nAnswer: -7824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*j - 222537*j**2 - 25*j - 38*j - 28*j.\nAnswer: -222537*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -449 + 447. Let v = 42.07 - 42. Let j = v - 3.47. Sort 2\/13, j, g in descending order.\nAnswer: 2\/13, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49801 = 91*y + 37061 for y.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o - 16. Suppose -a - 40 = 7*a. What is the remainder when 87 is divided by r(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22*s - 13*s + 8*s - 9 + 2*s + 9 + (0*s + 4*s - 5*s)*(1 - 4 + 2) - 3*s + 5*s - 5*s - 4*s + 5*s + 0*s + 2*s + 0 + 0.\nAnswer: 20*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-three eighths of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -15*a. Let p(t) = 22*t + 23*t + 22*t - 69*t + 3 + t. Determine p(z(r)).\nAnswer: 15*r + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.047942231 + -128.908?\nAnswer: -128.955942231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/176 at least as big as 0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -4*p**3 - 322*p**2 + 1647*p + 41. Determine s(5).\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -247 - 421. Let b = c + 1196. Does 48 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 12) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) -3\/7 (b) -0.49 (c) 5\/2 (d) 1\/2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 327971 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-16))\/(10\/(-16)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 3*m**4\/4 - 11*m**2\/2 + 7*m - 1. Let q(z) = 2*z**3 - 6*z + 4. Let f = -689 + 682. Give f*q(u) + 4*y(u).\nAnswer: -2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1) + (-16)\/10. Let c = 1600\/9 - 178. What is the nearest to 0 in b, c, -6?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 333*u**3 + u**2 - 232 wrt u?\nAnswer: 1998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 19*q - 1. Suppose 0 = 29*x - 197 + 52. Let a(v) = -2*v - x*v + 5*v + v. Determine b(a(l)).\nAnswer: -19*l - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39808 by -561.\nAnswer: -39808\/561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 4*r + 708 = 0, 5*r + 735 = y + 2*y. Let i be 28\/8*44\/(-3 + 5). Let s = y - i. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 - 1)*(11*s - 4*s + 8*s)*(2*s - 4*s + s + (-s + 3*s - s)*(-5 + 4 - 1))*(3*s + s - 6*s + (s - 3*s + 0*s)*(0 - 4 + 6)).\nAnswer: -540*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 561204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 138.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/10)\/(((-6)\/(-210)*-7)\/1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/(-15) - 5\/(-3). Let j be 0 - (w + 652\/(-18)). Let o = -106\/3 + j. Which is the smallest value? (a) -2\/19 (b) o (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7191.\nAnswer: 3, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 129*h**2 - 4388*h + 66. What is r(34)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -861965, -1723861, -2585745, -3447611, -4309453, -5171265?\nAnswer: -6033041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -650 less than or equal to -40103?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a microgram in nanograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of -f**4\/6 - 11*f**3\/6 - 16*f**2. Suppose 5*z = z + 40. What is the least common multiple of z and h(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3*q**3 - 2321*q**2 + 448*q - 252327. Calculate f(-774).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-47 - -47)\/(-8*1). Let k(f) be the first derivative of 0*f**4 + 0*f**3 - 1 + 1\/51*f**6 + 0*f + 2\/85*f**5 + y*f**2. Solve k(i) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 119\/241 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/49 and 46\/1547?\nAnswer: 10829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/280*(8 + -3).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*w - 29 - 22 + 763*w - 379*w - 101.\nAnswer: 5*w - 152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 11:54 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + t - 1. Let p(x) = -3*x**3 - 16*x**2 + 2*x - 11. Let m(q) = p(q) - 6*y(q). Let u be m(-4). Calculate the highest common factor of u and 387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 12*j**2 - j - 8. Let n be m(-12). Suppose -4*p = -3*l + 9, l - 19 = 4*p - 0*l. Let b be (-4)\/(-6)*9\/p. Sort 0, n, b.\nAnswer: b, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 + 4560?\nAnswer: 4611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1127 and 53634.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-18))\/(-17)*3\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 6440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1634 - -1650. What is the least common multiple of 8 and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 5, 2*f + f = -2*r - 22. What is the units digit of -30*(1 + 1*12\/f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 153667 or 153808?\nAnswer: 153808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*h = -475*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 3. Let z be s(8). Suppose z*d - 14*d + 42 = 0. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + 5\/((-10)\/(-4)). Let c = -6 + 2. Sort c, g, -2 in descending order.\nAnswer: g, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 5, 0.5, -9, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1488)\/9 - 2)\/((-146)\/876). Calculate the greatest common divisor of 12 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, -8535, -31800, -77005, -151464, -262491?\nAnswer: -417400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150610635?\nAnswer: 3, 5, 7, 478129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 22837608536 + 6?\nAnswer: 22837608542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - 4*x**2 + 5*x + 5. Let i be c(-5). Suppose -2*b - 5*o = -236, 4*b + 10*o = i*o + 452. Is 27 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes after 12:22 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26578 times -34103?\nAnswer: 906389534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 x when two letters picked without replacement from uxuxxu.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -2\/9, 45?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 1. Let y(f) = 396*f - 442. Let c(b) = -6*l(b) - y(b). Find the first derivative of c(q) wrt q.\nAnswer: -390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2160738627 rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 4*w = 168, 4*v + 3*w - 4*w - 642 = 0. What is the highest common divisor of 20 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 31040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 9506072 and -1.144305.\nAnswer: 9506070.855695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51 - 51. Solve g = r + r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1 + 3\/6). Suppose 0 = -w*d - 1 + 11. Let m = 13 - d. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 791658*y - 70457555. Give u(89).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52) + 1 + sqrt(52)\/sqrt(4) + -2 - (sqrt(1300) + (sqrt(1300)*1)**2 - (sqrt(13) + 0 + -2)).\nAnswer: -1303 - 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17563, -34734, -51923, -69130, -86355, -103598?\n\"Answer: -9*r**2 - 17144*r - 410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3433*43.\nAnswer: 100.7619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-3)\/2 - ((-16863)\/726)\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 44 = -7*b. Let k(y) = 1 - y**3 + 21*y - 22*y - 7*y**3. Let m(n) = 15*n**3 + 2*n - 2. Give b*k(h) + 6*m(h).\nAnswer: 2*h**3 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 200539*h - 66806*h - 66913*h - 66820*h + 3 - 3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5072414 millimeters to nanometers.\nAnswer: 507241.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-4)*-1*9*(-9)\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -155 - 26261?\nAnswer: -26436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - z**2 - z - 8. Suppose -j = 3*j - 16, 0 = -5*c - 3*j + 62. Let x be 6\/c - 9\/15. Give n(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 192318*s**3 - 304983*s**2.\nAnswer: 1153908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 12*f**2 - 12*f + 17. Let p(w) = w**3 - 10*w**2 - 15*w + 31. Let c be p(11). Let b be v(c). Solve b = -0*s + 2*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000236638038 to 7 dps.\nAnswer: 0.0002366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 166, 234, 122, -260, -1002, -2194, -3926, -6288?\n\"Answer: -15*b**3 + 173*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 30176.103 to the nearest 100.\nAnswer: 30200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (0 + -2 + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 210*x**2 + 28*x - 127. Is t(12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, f: 4, e: 8, q: 2}. What is prob of picking 1 i and 2 f?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.03401 meters in millimeters?\nAnswer: 7034.01","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28916 a multiple of 145?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7094 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15017 + -1?\nAnswer: 15016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a century in years?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/(-3))\/((-26)\/(-1833)). Let u = -47 - p. Solve -3*b - 10 = -t, 2*t + u = -3*b - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/189 and -31\/9922787.\nAnswer: 267915249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.209 * -0.71\nAnswer: -0.14839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/4 - 1077*v**4\/4 + 2173*v**3\/2 + 11889*v**2\/2 - 4345*v\/4 - 22701\/4 = 0. What is v?\nAnswer: -1081, -3, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -301, 280, 1241, 2576, 4279, 6344, 8765?\n\"Answer: -b**3 + 196*b**2 - 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 0 + 4393*p**2 - 4392*p**2 - 2. Give f(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -147*v**3 + 1386756*v**2 - 3251063952*v - 92120234304.\nAnswer: -3*(v + 28)*(7*v - 33116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.91066 - -21.08794. Let u = 19 - 43. Let o = u + a. What is o rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the second derivative of 3*n**4\/4 + 2*n**3\/3 - n**2 - 6*n. Let y be r(3). Suppose -5*z + 39 = -y. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1883882*s**5 + 10*s**3 + 5934*s**2 - 2*s + 2254 wrt s?\nAnswer: 113032920*s**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*f**2)\/f*f)**(-1))**16)**30 assuming f is positive.\nAnswer: f**(-1920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -187336.3 - 10.68\nAnswer: -187346.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*w + 10*w - 388712 + 388712.\nAnswer: -27*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 divided by 12.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = -2*i, 4*i + 4 = -2*t + 6*t. Let p(g) = -2*g**i + g**2 + 4*g**2. Let a(x) = -2*x**2. Let v = 6 - 2. What is v*p(s) + 7*a(s)?\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 10*s - 12. Let o be j(8). Let c be (-1)\/(o + (-17)\/4). Solve 2*h = c*h - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 81972, -33, -60?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a1 + -2?\nAnswer: 9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 5648276.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2861 + 4437. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (12 - 2 - 11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q - 2. Let m be p(2). Suppose -5*s = -6*s + 15. Let l = m + s. Does 15 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l. Let o(f) = f**3 - 16*f + 2. Let c be o(-4). Let y be 2*17 - (-4 - -4). Let q(a) = 24*a**2 - y*a**2 + 16*a**c. Calculate q(n(g)).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2253, 2262, 2285, 2328, 2397, 2498, 2637, 2820?\nAnswer: 3053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l, 1 v, and 1 m when four letters picked without replacement from {o: 4, m: 1, l: 2, v: 8, d: 2, z: 2}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20ff9 (base 16) to base 11.\nAnswer: -92604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 522197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.008 + 4.992. Which is the nearest to -1? (a) -3\/2 (b) -2\/3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2070926?\nAnswer: 2, 11, 13, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1020002022 + -1?\nAnswer: -1020002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u - 277 + 161 = 196 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 10*v**2 + 31*v + 124. Calculate the remainder when 334 is divided by c(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68785, 272823, 612893, 1089001, 1701153, 2449355, 3333613?\nAnswer: 4353933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 6*z + 155 = 0. Suppose -7*j + z = -11. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**5\/5 + 3792*p**4\/5 = 0.\nAnswer: 0, 1264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 148 = -4*j, z - 38 + 5 = j. Does 35 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -111 - 10120211101?\nAnswer: -10120211212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 551*f + 554*f = -61, v = 2*f + 19 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:27 PM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.020211ng to tonnes.\nAnswer: 0.000000000000009020211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (30408\/(-27))\/(146\/(-1314))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -49c (base 13) to base 14.\nAnswer: -417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2 + sqrt(320))**2*6*-5.\nAnswer: -48600 + 4800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/2 (b) 158.6 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 3*v + 1. Determine z(3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3587517, 3587509, 3587495, 3587475, 3587449?\nAnswer: 3587417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 g when two letters picked without replacement from {x: 1, g: 4, y: 1, e: 1, o: 3, s: 4}?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/(-98))\/(11\/(-2))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 6*s + 2. Let f be o(-6). Let l(x) = -2*x**2 + 6*x**f - 2*x**2. Let a(v) = -v. Determine l(a(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*d + 2*d - 4*d)*(-5*d + 3*d + 4*d) + 2*d**2 - 5 + 2*d**2 + 7.\nAnswer: 6*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, 1\/103, 2.64 in ascending order.\nAnswer: 1\/103, 0.02, 2.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -509.841 + 510. Which is the smallest value? (a) p (b) 5\/3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c**3 - 132*c**2 - 567*c - 1. Determine p(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224962113 is divided by 2103?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1495 divided by 5.\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 691699 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.041 - -38.041. Let k = p - 28. Let l = k + -10.02. What is the closest to -1 in 4, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-160)\/(-20)*278\/16. Let x = h - 134. Solve 4*t = -2*f + 3*f + 19, 2*f - 14 = -x*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + -5. Let c = 39 + q. What is the remainder when c is divided by ((-16)\/(-6))\/(1\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-10))\/(((-35500)\/10625)\/(-142))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 6*s**2 - 5*s. Let b be y(5). Let u be 48\/110 - 2\/5. Let t = u - 12\/55. What is the nearest to b in t, -1, -0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1367*r**3 + 1359*r**3 - 2724*r**3.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 172800929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 368, 708, 1050, 1394?\n\"Answer: f**2 + 337*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + m + 1. Let h be s(3). Let f be -1*2 + 1 + -1. Let p = f - h. Which is smaller: 2 or p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1134)*-2)\/(sqrt(7) - sqrt(1225)\/sqrt(7)).\nAnswer: 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*w - 6 = 0. Suppose -o = w*f - 70980, 2*f = 4*o - 2*o + 70986. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 16.99974. Round x to four dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 10543 = -27617. What is b rounded to the nearest 100?\nAnswer: -9500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/6 and -181\/90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and -10176?\nAnswer: 10173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**2 - 17*a - 31. Let q be m(-5). Solve 12 = -4*u - 2*d, -6*d + q*d = 2*u + 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(((-5)\/4)\/(-5)). Let q be (1 - i\/(-4))*-12. Solve -4*f - 8 = q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6809642 rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -5. Let x be -11 - -2 - (-3)\/(0 + 1). What is the units digit of (-3 - p)*x\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, -0.3, -3\/7, -42.6, -0.2.\nAnswer: -42.6, -3\/7, -0.3, -0.2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 202*d - 167*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1329 + -1329. Let v(q) = q**3 - 24. Give v(a).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 82*f**3 - 56*f - 11. Let g(w) = -16*w**3 + 11*w + 2. What is 2*d(c) + 11*g(c)?\nAnswer: -12*c**3 + 9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((sqrt(325)*-1 - sqrt(325)) + 3 + 4*(-1 + sqrt(325)) - -1*sqrt(325)*-2*-4) + 1)**2.\nAnswer: 32498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 4, b: 3, z: 4, g: 1, v: 1}. Give prob of sequence zbb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 - 26. Let g be (-5 - 1)*c\/3. Suppose 4*b = -5*t + 250, 0*t - g*b - 118 = -3*t. List the prime factors of t.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 820.4482 days in milliseconds?\nAnswer: 70886724480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35526 + 6751*j + 2402*j - 35526 to the form r + s*j and give s.\nAnswer: 9153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2431389 to the nearest 10000.\nAnswer: 2430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*w - 1448 - 27784. What is the tens digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*k + 2*k - 530, 0 = 5*k + 4*b - 1391. Suppose 0 = 6*t - 730 - 170. Suppose 0 = c + 5*c - t. Calculate the greatest common divisor of k and c.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.028 - -0.028. Let c = z - -23.73. Let s = c - -3.27. Sort 0.4, s, 0.5 in ascending order.\nAnswer: 0.4, 0.5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3296\/(-412)*(-6)\/(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-17))**(-33)\/(((o*((o\/o**(4\/17))\/o)\/o*o)\/o)\/(o**23*o)) assuming o is positive.\nAnswer: o**(9949\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (((-7502)\/33)\/(-31))\/(12\/(-9))\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = 3*a + 2*s, 2*a - 2*s - 47 - 13 = 0. What is the remainder when 234 is divided by a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 1\/24*m**4 + 10\/3*m**3 + 3*m**2 + 0 + 0*m. What is the lowest common multiple of 11 and l(-10)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 461*w**2 - 38*w - 6. Let d(p) = 374*p**2 - 37*p - 5. Calculate 5*d(v) - 4*g(v).\nAnswer: 26*v**2 - 33*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 3244214535+11.6\nAnswer: 3244214546.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-21450)\/585*(-378)\/231\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 134*l - 589. Let z be f(-61). What is the greatest common divisor of z and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -101, -75, -33, 25, 99?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -49679, -99356, -149045, -198752, -248483, -298244?\n\"Answer: -f**3 - 49670*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 14*d - 15*d + 17 - 9 - 32.\nAnswer: -d - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-15))\/(2\/(-10)). Let h = -2 - v. Let z(u) = -4 + 2*u**2 - 5*u + 2*u**2 - 5*u**2 + 2*u**2. Calculate z(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 28 = -5*o + 12, p = 2*o + 1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*a = 94*a - 191750. Calculate the remainder when a is divided by 231.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 21*t**2 - 44*t + 50. Let o be b(23). Suppose 0 = 107*j - o*j - 363. Does 3 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -3*c - 10, -460*c + 455*c + 45 = 4*p for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 24, -3 in decreasing order.\nAnswer: 24, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (638 + 125*z - 638 + (1 - 2 - 1)*(z - z - 2*z) + 0*z - 5*z + 3*z)*(3*z + 3*z - 4*z).\nAnswer: 254*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -22*n**5 + 194*n**4 - 404*n**3 - 80*n**2 = 0?\nAnswer: -2\/11, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133902 to the power of 1\/3, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43827 and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3.287 + 0.5\nAnswer: 3.787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 84, 4, -2, -6519, 1 in descending order.\nAnswer: 84, 4, 1, -2, -6519","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 845335 - 6*q**3 - 422390 - 422947.\nAnswer: -6*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4701.999989251 - 4702. Round v to 7 decimal places.\nAnswer: -0.0000107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 9*m - 2*m + (-m + m - m)*(-2 + 4 - 1) - 13*m + 571 - 571)*(m**2 - 2*m**2 + 3*m**2).\nAnswer: -16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.03 and 427193?\nAnswer: 427193.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - r + 135, -c - 5*r - 256 = -3*c. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2880682 to the power of 1\/2, to the nearest integer?\nAnswer: 1697","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482110297?\nAnswer: 29, 263, 63211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 77?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -38.2? (a) 2 (b) -1\/22 (c) -1\/5 (d) -3\/4 (e) -18 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 718543\/55 + -13064. Find the common denominator of 181\/30 and u.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -140 - -1259\/9. What is the smallest value in g, 0.3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 3216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -27008.4 and 42?\nAnswer: -1134352.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3129 or 2928?\nAnswer: 3129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1527 + -1504. What is the remainder when 110 is divided by i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - h**3 + 9 + 2*h)*(-39*h + 51*h + 82*h).\nAnswer: -94*h**4 + 188*h**2 + 658*h","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*r**6*x + 2*r**6 + 9*r**3*x - 126*r**2*x wrt r.\nAnswer: -240*r**3*x + 240*r**3 + 54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 1136\nAnswer: 1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54*-0.5.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.25616 times -7004?\nAnswer: -1794.14464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 10:51 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (287\/(-205))\/((-2)\/(-35)) and (1\/24)\/((-4)\/402).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 91? (a) -4 (b) 0.02 (c) -2\/5 (d) 0.2 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5912 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92043?\nAnswer: 3, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 4:39 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 76771 - -79888. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 9}. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 180389028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1127231m in millimeters?\nAnswer: 112.7231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 - 59*j**2 - 48*j + 583. Give w(-58).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (3 + 2)\/((-1)\/(-2)) and 9\/(-1)*(-2)\/2?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((80\/(-25))\/4)\/(2\/10)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 579447 or 579445?\nAnswer: 579447","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -21*n**2 + 17*n - 15. Let v(f) = 10*f**2 - 8*f + 7. Let a(u) = -6*g(u) - 13*v(u). Let h be a(1). What are the prime factors of h\/2*520\/(-15)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - v - 5*k - 15 = 0, -2*v - 22 = 5*k. Let u be (-223 - -225)*(5\/(-100))\/1. Sort u, v, 21 in decreasing order.\nAnswer: 21, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/2)*(q\/q**(-4))\/q)**(-14\/11))**(2\/13) assuming q is positive.\nAnswer: q**(-98\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(12\/(-10)))\/(2\/(-2252)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - ((-15)\/40 - (-69)\/(-8)). Put m, 2, 0, 1 in ascending order.\nAnswer: 0, 1, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 0 - 5)*(-1 + 4 - 2) + 1 + 0 + 0)*(-413823 - 93*v - 7*v**2 + 413823) as q*v**2 + l*v + p and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + 6 - 7 - -68) + -4?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*d**2*n**2 - 114*d**2 - 3346*d*n**2 - 1269194*d*n + n**2 wrt n?\nAnswer: -6*d**2 - 6692*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 55 by 9.\nAnswer: 55\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 b when two letters picked without replacement from ikiffibfpckc.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1716 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (21 + -2 - (-65 + 69)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - f + 0 + (35*f - 262*f - 25*f)*(-1 + 5 - 3).\nAnswer: -253*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -5*b + 320, -4*k - 77 = 5*b - 502. Solve -84*v = -105*v + k for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*o - 235 = 97*o. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 4*j + 29*j. Solve -4*d + 0 = -j for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1031*m**2 - 3429*m**2 - 7405*m**2 + 1548*m**2 - 5767*m**2.\nAnswer: -14022*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*b + 17*b - 7*b + 14*b.\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 29 - 9 = 0. Suppose -3*p - a + 49 = 0, -4*a - 56 = -j*p + 3*p. Solve -t - u = 10, 5*u = t - 2 - p for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -2.57.\nAnswer: 0.257","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -59362\/39 - -1522. Let f = p - 16\/13. Let j = 83\/7 - 60\/7. Find the common denominator of j and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -450*g**3 + 9*g**3 - 261*g**3 + 25*g**3 + 51*g**3.\nAnswer: -626*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -25564.\nAnswer: -10225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 183\nAnswer: 5\/183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-143)\/(-9152)*384)\/(28\/(-18)).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 5*u**3\/6 + 15*u**2\/2 - 28*u. What is the derivative of w(d) wrt d?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -30 + 0*f**2 + 10*f**2 - 2*f - 9*f**2. Let t be n(7). Solve -2*j + 5*w + t = -2, j = 3*w + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in 0.5, -0.07, -4, 3\/1750, -1\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2 (b) -3 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*j**4*y**2 - 4*j**3 - j**2*y**2 + 2*j**2*y - 16*j**2 wrt j.\nAnswer: -264*j*y**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 - 25*r + 108. What is h(0)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11569, 1, -38 in decreasing order.\nAnswer: 11569, 1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -509, -1004, -1479, -1928, -2345, -2724, -3059?\nAnswer: -3344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23094 is divided by 77?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624794499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, u: 3, m: 1, q: 2, p: 4}. What is prob of sequence gpgp?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.06 + -6. Let n = -1.013 - 0.047. Let z = n + v. Which is the closest to 0.1? (a) z (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 6*d**2 + 3. Let i be b(6). What is the remainder when (-1)\/i + 424\/12 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4460726?\nAnswer: 2, 67, 33289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4538927579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19) + sqrt(19))*-6 + (-3 + sqrt(19) + -1)**2.\nAnswer: -20*sqrt(19) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2846 is divided by 584.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (3 - 3) + 0 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 96506580871 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + s - 3 + 0 + 2*s. Let u(o) = 4*o + 163. Let t be u(-29). Let i = 50 - t. What is x(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-5\/2)*q**(-2\/11))\/((q*q**(3\/4))\/q*q**(-8\/7)*q))\/(q**(-1\/2)*q*q*q**4)**(-6\/25) assuming q is positive.\nAnswer: q**(-7461\/7700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 146563557 + 849.\nAnswer: 146564406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.6657 (c) -0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 10*x - 48 + 8 = 0, 2*k - 5*x = -0*x + 881 - 883 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 362987.617 to the nearest 1000.\nAnswer: 363000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = 35*r + 264 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(2\/7)\/o)**(-2\/3) assuming o is positive.\nAnswer: o**(-4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) 5941 (c) 1\/5 (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -10*z**4 + 12*z**3 + 15*z**2 - z + 3. Let u(w) = -w**4 + w**3 + w**2 + w + 1. Let a(s) = 6*u(s) - 2*v(s). Factor a(i).\nAnswer: 2*i*(i - 2)*(i + 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (2*sqrt(17) + 1 - (0 + sqrt(17))*3)**2.\nAnswer: -2*sqrt(17) + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -33 - 23 - -67.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623065 is divided by 7253.\nAnswer: 6560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 45 = h + 11*h. What is r in -136\/5*r**h - 56\/5*r**2 - 4\/5*r**5 - 44\/5*r**4 + 20 + 28*r = 0?\nAnswer: -5, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516337.7l in millilitres?\nAnswer: 516337700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -1690 + 394. Does 8 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 364206 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-4\/11)*r))\/(r*r**5)*r**(-2\/11)*r\/(r**(-7)\/r) assuming r is positive.\nAnswer: r**(35\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - -14. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -4*o + 4, -s + 16 = 3*s. Let x be -3*o\/6*4. Solve -5*g = h - 19, -1 + x = -2*h + 3*g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 13. Let w = 4 - 4.1. What is the closest to w in -2\/11, c, 1\/5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 487 + -464. Let z = -7 + 33. Which is greater: z or w?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*z - 133 - 191 = -36*z. Calculate the least common multiple of 105 and z.\nAnswer: 5670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 215019901 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 0 = 15*f - 3*f + 12. Let v be 405\/30 + 2\/(5 + f). Solve -2*x + 14 + v = -4*a, -3*a - 15 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/6*(-2 - 4). Suppose -2*c = -0*g - g - 5, g = -f*c - 5. Suppose -4*j + 222 - 2 = c. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {b: 2, n: 1, a: 2, v: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + m**2 + 2*m**2)*(m - m + 2*m) + (-2 + 5 - 2)*(2*m**3 - 2*m**3 - 2*m**3) + 2*m**3 - 6*m**3 + 2*m**3.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44387 and 476?\nAnswer: 177548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 0 (c) 3\/4 (d) 0.3 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0348 less than 5383.1?\nAnswer: 5381.0652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 65815?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2 + 1. Differentiate -1 + 4*m**2 - 8*m**2 + 0*m**2 - q wrt m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 + 27 = 3*f. Let z be 171\/4 - 12\/f. What is the units digit of z\/5 + (-6)\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**2 + 8*q + 144. Let t be c(0). What is the greatest common divisor of 162 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 15*t**2 - t - 1. Determine m(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*w**3 + 865315 + 865322 + 865307 - 2595944.\nAnswer: -17*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (101 + -255 - -159) + 1 + -2 + 2*-1. Suppose 1\/8*y**5 - 3\/8*y**4 + 1\/2 + 11\/8*y**c - 1\/8*y**3 - 3\/2*y = 0. What is y?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (268\/(-10))\/((-1170)\/2925)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 7*b + 1. Calculate a(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + (sqrt(112) - (-2 + sqrt(112))) + sqrt(112) + sqrt(7))**2 + sqrt(42)\/(-2*sqrt(6)).\nAnswer: 71*sqrt(7)\/2 + 571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -194 - 7*j**2 + 21*j + 5*j**2 + 186. Let r be l(10). Let s = -18 + 32. Solve r*a - 3*u = s, -6*u + 2*u = -2*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 + 6. Let i = 3 + j. What is the biggest value in i, -5, -2\/13?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1145 (b) -174 (c) 65 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 37172673 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 4 + (-3 + 0 + 1)*(5 - 5 - 1))*(8 - 1 + 9)*(2 - 2 + 1)*(b**3 + 0*b**3 + 0*b**3) to q*b**2 + k*b + c + d*b**3 and give d.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 130 times -16\nAnswer: -2080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -5*s**2 + 3. Let i be (-5 - (-13)\/3) + (-1)\/3. Let t be (0 + i)\/(5\/3 - 2). Let r(v) = -8 + v**2 + 5*v**2 + 4. Give t*r(u) + 4*x(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*sqrt(49))\/sqrt(7)*-1 + (2*sqrt(63))**2 + -4 + -1.\nAnswer: -30*sqrt(7) + 247","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -87827 divided by 574\nAnswer: -87827\/574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1744.406 + 1.406. Let m = w - -1742.98611. What is m rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 65 = 34*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*f - 32*f = -444 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -2. Suppose v - p*v = 0. Solve w + 4*f = -2*w - 8, -f + 1 = v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 373\/14 - 190\/7. Does u = -0.004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of 2*m**3\/3 - 8*m**2 - 2. Let b(f) = 61 + 66 - 127 + 96*f + 103*f - 200*f. Give b(j(s)).\nAnswer: -2*s**2 + 16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 4.693569 millimeters?\nAnswer: 4693569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2421489649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 6*l - 7. Let q(w) = -3*w**2 - 7*w + 8. Let x(a) = 2*a**3 - 12*a**2 + 7. Let k be x(6). Calculate k*s(h) + 6*q(h).\nAnswer: 3*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51329 is divided by 276?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11722 and 66668.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 3\/5*t**3 - 3\/5*t - 3\/5*t**2 + 3\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*m + 2*a, -m - 4*a = 4*m - 31. Suppose -2*q + 10 + 280 = 3*s, -m*q - 5*s + 434 = 0. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 131 - -116. Calculate the highest common divisor of 76 and t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5942?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2711552*x + 18980871. Give q(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*m + 4*y, 4*m - 5*y + 1 = 3. Suppose -m*z = -z. Sort 3, -2, z in ascending order.\nAnswer: -2, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2 = -1. Let u = 10 + m. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422 = -318*w + 202*w - 506 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5234577.\nAnswer: 3, 1744859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d**2 - 52*d + 1298. Calculate i(11).\nAnswer: -242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 6:57 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -2cf99?\nAnswer: -2cf97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 34779, -14, 1 in decreasing order.\nAnswer: 34779, 1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*6*(1*(sqrt(133)*-1 + sqrt(133)))\/(sqrt(175)*2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -499*p + 574*p - 305 + 2630 for p.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 8*y + d = 1, 9 = 2*y - d. Let f(a) = 9*a + 1. Is f(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 51\/5 of a kilogram?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3622360280 - -0.3.\nAnswer: 3622360280.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (58 - 2 + 29)*(0 + 3 - 4)*(27*o**2 - 8*o**2 + 12*o**2) to r*o**2 + n*o + b and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*q**3 - 2*q**3 + 12*q**3 - 6*q**3.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 40, -2, -0.5, 0, 0.3, -0.032?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 - 922*f**2\/7 - 3090*f\/7 + 29981034\/7.\nAnswer: 2*(f - 309)**2*(f + 157)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqfmllqeml. Give prob of sequence mfl.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1262 <= 0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64572 is divided by 425.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56862?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 50 - (129 + -167)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 1839?\nAnswer: 2\/613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10761332?\nAnswer: 2, 23, 53, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 2*n**3 - 3)*(3*n - 2*n - 2*n) + 8*n**4 + 29 - 29 to the form q*n**3 + w*n**2 + l + c*n**4 + b*n and give c.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(504) - (sqrt(504) + sqrt(504)*2))\/sqrt(8) + -3)**2.\nAnswer: 36*sqrt(7) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -6595359.\nAnswer: 1\/6595359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 3. What is the greatest common factor of 22 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = h + 2*y, -55 = -h - 4*y - 46 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12\/31, 23, 0?\nAnswer: -12\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46 + -31. Suppose -m = -j + 5. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -21 - -26. Let x be (2\/(-12))\/((-7)\/(-1946)). Let i = x - -46. Is t smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) -0.6 (c) -4 (d) 3\/7 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.1 + -1.7. Let c = -0.6256 - m. Round c to three dps.\nAnswer: -0.026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89915726 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 6) to base 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 4:37 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 + 117*x**2 + 164*x - 19230. Calculate v(117).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16744 is divided by 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z**3 - 19*z**3 + z**3 + 11*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 216410844 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 greater than 39026\/383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*o + 2*o = 553, 4*o - 20 = 0. Let i be ((4304\/(-6))\/(-1))\/(k\/20925). Round i to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1499 divided by 60.\nAnswer: 1499\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43.81 and 11461.\nAnswer: -502106.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (23 - (-9 - -12)) + -11\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - x + 0*x + 37 = 0, 3*x - 39 = -4*a. Suppose 4*p - k + 1 = a, 3*k = -p + 2. Suppose 6*m - 136 = p*m. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 3 - 83. Is (248\/(-32))\/(2\/g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3\/3 - 884*t**2 - 1769*t - 2654\/3 = 0.\nAnswer: -1, 2654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 * 56718\nAnswer: -2835.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((30\/(-9))\/10)\/(1\/1)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043939553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c. Let s(l) = 3*l + 4. Let j(i) = -4*k(i) - s(i). Determine j(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/11 - (-418)\/2299)*(-108 - (-24 + 17)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 60465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*t - 12*t = -36 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 170*o + 1. Let g(s) = 339*s + 3. Let l(u) = -2*g(u) + 5*r(u). Let j be l(1). Suppose 0*k + k = 2*t - 58, 4*k = -5*t + j. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 92725226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 13*a**2 + 19*a - 10. Is 12 a factor of j(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -842b34 (base 16) to base 14\nAnswer: -12168cc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 48. Let t = 26 + s. Let z(j) = j - 15. Calculate the smallest common multiple of z(24) and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 234 + -151. Suppose -3*n + 82 = -u. What is the highest common factor of 5 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5508 is divided by 610.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 108*o - 3. Let l be u(1). Calculate the greatest common divisor of l and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 5)*(-2*k**4 + 1 - 1) + (34 - 34 - 4*k)*(2*k**3 - 6*k**3 - 6*k**3).\nAnswer: 26*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqqqzzqzzz. Give prob of sequence zzz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79344 and 22562.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -47 in 2, -3\/5, 0.17?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*m + 5*m - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*j - 7 + 3, -2*w + 58 = 6*j for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10051 - -9995 - 1496\/(-26)?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -6*s**2 - 7\/3*s - 5\/3*s**3 + 2 = 0.\nAnswer: -3, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12) - sqrt(24)\/sqrt(2))**2 + sqrt(3) - sqrt(3) - 2*(sqrt(12))**2.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (-87 - -85) + -1 + -41\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-361)\/(-171)*3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3293 + 0.329300894. Round q to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1972 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 60022719, 60022717, 60022715, 60022713, 60022711, 60022709?\n\"Answer: -2*u + 60022721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14*(-2)\/4\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = -4*g + 24, 2*k - 5*k = 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -26, 0.1, 0.3, 0.5, -48?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*h - 906 - 294 = 183*h for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2. Let w(f) = -7*f. Let i(k) = -20*k. Suppose 0 = 4*s - 3*s + 4. Let n(a) = s*i(a) + 11*w(a). Calculate n(p(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0052 and -32.\nAnswer: -31.9948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22 + 1112111202200?\nAnswer: 1112111202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -20*w + 6*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27376944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/598 and 129\/960310.\nAnswer: 22087130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 14. Let u = 4 + o. What is the third derivative of 158*p + 5*p**4 - 158*p - 3*p**u wrt p?\nAnswer: 120*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g - 396*g**2 - 69*g + 729*g**2.\nAnswer: 333*g**2 - 81*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 157 + -152. Solve 0*g - g = f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akkufu. What is prob of sequence fa?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 7 = -2*q + 1, 3*q + 22 = 5*o. Put o, 1, 4 in ascending order.\nAnswer: 1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {r: 1, d: 1, u: 1, v: 1, a: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086601 to the power of 1\/3, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22091808 and 115981992.\nAnswer: 463927968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17331830*s**4 + 14442070*s**2?\nAnswer: 415963920*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 578*f = 613*f - 420 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8626 and 190?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**4 + 0*f**4 + 4*f**4)*((2 - 1 - 3)*(-2*f + 2*f + 2*f) + 185*f + 249*f + 265*f).\nAnswer: 695*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 477.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1356 divided by -452.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6679*w**2 + 2193*w**2 - 5370*w**2.\nAnswer: -9856*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6332501 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 5:13 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584540319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 8*q**2 + 10. Let k be d(-8). Solve -2*h = -0*h - k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m**2 - 4*m - 8778 - 5*m + 8781.\nAnswer: 7*m**2 - 9*m + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -6 - 4. Let y(f) = -6*f - 10. Let u(x) = 13*x + 21. Let r(i) = -4*u(i) - 9*y(i). Give r(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 288865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180*c**5\/7 - 1259*c**4\/7 + 2693*c**3\/7 - 1605*c**2\/7 - 9*c\/7 = 0. What is c?\nAnswer: -1\/180, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-51))\/((-2)\/6*-3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-84)*-2*(-3052)\/654.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5067289 is divided by 723882?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**4\/4 - 1623*t**3\/4 + 85887*t**2\/2 + 983595*t + 5128350 = 0.\nAnswer: -10, 179, 382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 9:20 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 7*u - 21. Let b be l(-2). Find the common denominator of ((-612)\/160)\/b - 0 and 3\/55.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 500642195 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5233229 milliseconds in microseconds?\nAnswer: 523.3229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j**2\/6 - 3008*j\/3 + 4524032\/3 = 0. What is j?\nAnswer: 3008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 19018, 25078, 31138, 37198, 43258, 49318?\n\"Answer: 6060*l + 12958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -217 and 22.\nAnswer: -4774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/5 in 483802, -0.1, 47?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 8) in base 5?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 8*w. Let u be h(8). Suppose 2*q + 4*f - 4 = u, -q + 0*f = -5*f - 2. Suppose q*y = -13 + 5, 0 = -d + 3*y + 271. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, d: 13}. What is prob of picking 4 d?\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383 - 1078 = 161*c + 632 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 978852 and 18424?\nAnswer: 644084616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z - 2. Let x be 6\/(-8)*(0 + -16). Suppose -2*t + x = -0*t. Suppose -t*v - 20 = -2*v. Determine j(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/5, -11, -0.2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1228 + -1227 - (-27 - 1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 18*u**2 - 4 + 4 - 10*u**2. Let z(g) = -2*g. What is z(b(d))?\nAnswer: -16*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 589, 0.4, 4\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2160)\/(-25))\/(-8)*(-12)\/24.\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -63. Suppose 3*i - 5 = -11. What is the closest to i in -2\/9, l, 5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3719*g + 7784. Give x(-2).\nAnswer: 346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*o**2*p**3 - 13*o**2*p**2 + 7*o*p**3 + 3*o*p**2 - 2 wrt o.\nAnswer: -48*p**3 - 26*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5ad + -9?\nAnswer: 5a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21637 + 30775. Suppose 3*r + 35143 = 5*q, 3*r = -2*q + k + 4936. Suppose q + 7969 = 3*t. What is t rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 392 = 32*k + 104 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 3 + (0 + sqrt(17))*4)*5)**2.\nAnswer: 1200*sqrt(17) + 7700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-9) - (-137)\/9. Suppose -4*o - 110 = o. Let w = o - -25. Solve -2*q - 4*i - 20 = 0, -2*i - w*i - c = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50655862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -19, -2, -3, -4 in ascending order.\nAnswer: -19, -4, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 25 = 25. Put -25, b, 4 in ascending order.\nAnswer: -25, 4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 11*h + 9*h = -10, -5*u + 2*h = -2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2276\/31059 + -3\/493. Put 5, -0.4, d in ascending order.\nAnswer: -0.4, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/12)\/(6\/39)*-12*(-39)\/624?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*w - 172 - 510 = 0. Let l = w - -418. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**4\/24 + y**3\/6 + 86*y**2. Let a(u) = u**3 - 2*u**2 - u. Calculate 2*a(z) + 2*k(z).\nAnswer: 2*z**3 - 4*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07285109878 less than -0.2?\nAnswer: -0.12714890122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -4. Let c(k) be the second derivative of k**5\/20 - k**2\/2 - 8*k. Give -4*c(m) + r(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + q - 1)*(-2847 - 2807 + 5887 - 1 - 1 + 0 + 6 - 4 - 4 + (-2 + 3 + 1)*(1 + 2 - 2) - 2 + 4 - 1 + 5 - 5 - 4).\nAnswer: 228*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3*b - 16. Let p be o(-4). Is 0 + (306 - (1 + p)) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 1. Let d(a) = 10*a. What is d(o) - 2*s(o)?\nAnswer: 8*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.41 - 58.41. Let n = -68 - -67.9. Which is smaller: n or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -7*h. Let f be 7 + (h - 2) - 1. Suppose -f*c = -3*c - 3. Solve 0*d - 12 = c*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**3 + 8*f**2 + 13*f - 1. Let t be n(-2). Suppose -3*i - 83 = -4*b - 6, 5*i = 5*b - 95. Let o = b - t. Does 2 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-1496)\/153)\/22)\/((-1236)\/54)?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - j - 3*j)*(-9 - 4*j + 9)*(35*j + 1 - 34*j + 4).\nAnswer: 4*j**3 + 20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2659153.\nAnswer: 7, 37, 10267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**2 + 2*o**6 - 2*o**6 - 3*o**6 - 2*o**2 wrt o.\nAnswer: -360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26934906?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.1954 + -3.2895. Round v to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/4)\/((-1)\/(-12)). Let b = 23 + v. Suppose 318 = -b*h + 7*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.2, 0.9 in descending order.\nAnswer: 0.9, 0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3)*r*r**(-2)*r*r)\/(r*r**2*r**(-4)*r))**(-31) assuming r is positive.\nAnswer: r**(-31\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -0.256167\nAnswer: -0.756167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 64642840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - (((-1680)\/154)\/(42\/(-9)))\/(4\/(-14)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -211041 (base 6) in base 11?\nAnswer: -11926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 77*x - 409, 24*p = -29*p + 75*p - 19*p - x - 9 - 4 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24395, -24579, -24765, -24953, -25143, -25335?\nAnswer: -25529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-3)*((-57)\/(-6) + -11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 2*d**2 + 2. Let l(r) = 5*r**3 + 13*r**2 - 13. Calculate 39*f(w) + 6*l(w).\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 74220 + -5612. Suppose d - 33391 - g = -5*u, -d - 61201 = -3*u. What is u rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -3. Suppose 0 = -t*p - 2*o + 18, -5*p + p - 17 = -5*o. Suppose 4*i - y + 4 = -p, -5 = i - 2*y. What is the nearest to 1\/4 in 4, i, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5380795 millilitres to litres.\nAnswer: 0.0005380795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62.47 - -62. Round b to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -51868818 - -51868336.99418. Let d = j - -481. Round d to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-24)*-6)\/1. Let i(j) be the first derivative of 0*j**2 - t*j**4 + 1\/3*j**3 + 0*j + 3. What is the third derivative of i(s) wrt s?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -25*m**2 + 14218*m + 75773. Determine t(574).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-four fifths of a kilogram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8d - -14?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66613104 to the nearest integer?\nAnswer: 8162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-36))\/(-10 + 147\/14)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 18 = 2*s + 3*t, -4*t - 28 = -2*s. Suppose -z + 6 = -s*z. Let q be (-1 - z)\/(1\/3). Solve -4*r + r = u + 3, 3 = q*u + 3*r for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 1\/720*l**6 + 0*l**4 + 0*l**5 + 0*l**2 - 7\/6*l**3 + 7*l + 0. Let a(f) be the second derivative of k(f). Factor a(v).\nAnswer: v**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 8*l**3. Let u be (-15)\/(-1)*((-804)\/(-36) + -22) - 0. Let o(q) be the first derivative of -15*q**4\/4 + 1. Determine u*a(h) + 3*o(h).\nAnswer: -5*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -151*d = -1284 - 447 - 534 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (103*s**2 + 0 - 2 - 96*s**2)*(-3 + 3 - 5*s**3) - s**5 + s**5 - s**5.\nAnswer: -36*s**5 + 10*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in -1\/4, -5, -0.2, -19?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19664?\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y - 17. Let d be q(-20). Solve 2*l = -0*t + d*t + 5, -7 = 5*t - 3*l for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 38*j**2 - 4*j - 2. Let v be t(-2). Suppose -y + 5*k - 4*k + 26 = 0, 5*y - v = -2*k. What are the prime factors of y?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 - n**3 - 25*n**3.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nlv when three letters picked without replacement from {l: 1, m: 1, v: 1, u: 4, z: 3, n: 2}?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v + 21*v + 45*v - 188 = 0. Is -48\/29 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 35293*k - 1044. What is the thousands digit of a(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -140 - -142. Solve -2*m + 6 = -i + j*i, i + 2 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67072981\/158795 + 32\/12215. Let x = w + 423. Determine r, given that 0 + x*r - 2\/13*r**2 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + s + 257. Let i(v) = 3*v + 22. Let p be i(14). Let m = -64 + p. Is r(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (38\/(-10))\/(12\/180*-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 859 is divided by 273.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -95.4 or 275?\nAnswer: -95.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 42300063 = b - 94199938, 0 = 4*n - 2*b + 109200002. Round n to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -74 smaller than -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -6*i - 831. Let y(x) = 6691*x - 13368*x + 6675*x. Calculate y(v(b)).\nAnswer: 12*b + 1662","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -743.35 rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1870316*y**2 - 298233.\nAnswer: -3740632*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of -g**5\/20 - g**4\/4 + g**3\/3 - 3*g**2\/2 + 6*g. Let p = -111 + 125. Suppose -z + 0*z + 6 = 2*c, z = 2*c - p. Calculate s(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 298 and 53342.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 4*f - 17. Let b be v(7). Suppose -2*r + b = -6. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -225 + 290. Which is the biggest value? (a) o (b) -0.2 (c) -2\/11 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.03 + -0.03. Let n = z + -17.0011. Round n to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + -86 + 112 + 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231457706?\nAnswer: 2, 1367, 84659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhuu when four letters picked without replacement from uuuuhuuuhuhu?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -n - 4*h - 1292, 4*n = -2*h + 1268. What is the remainder when n is divided by (-124)\/496*(-39 - 1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 176 and -40502.\nAnswer: -7128352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2345 or 325457?\nAnswer: -2345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 5*q**2 + 6. Let b be r(-5). Suppose 7 = -3*s + 2*u, -2*s = -5*s + 3*u - b. Sort s, -4, -2 in descending order.\nAnswer: -2, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/1862870 and 14\/25.\nAnswer: 9314350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -s**2\/4 - 8649*s\/2 + 1833192 = 0. What is s?\nAnswer: -17712, 414","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*m + 30 = -30*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from {l: 5, s: 9}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145502 and 2128.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 10 = -20. Find the first derivative of n + 39 - 49 + r*n wrt n.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 1833.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -16397.95.\nAnswer: 147581.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/(-7))\/(4\/2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/9*s**4 + 8\/9*s**3 + 0 + 0*s + 2\/3*s**2 = 0. What is s?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**3 - 8*x**3 + 15*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 5*j - 3. Suppose 0*o - 20 = -4*o + 4*t, -4*t = -3*o + 17. Let s(b) = 26*b - 14. What is o*s(r) - 14*c(r)?\nAnswer: 8*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1076*b - 136*b = -96*b - 7252 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 7 = 5. Suppose -1428 - 918 = -h*i. Suppose 63*y - i = 61*y. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j. Let q(v) = 2*v**2 - 14. Let s(o) = -o**2 + 5. Suppose w + 5*x = -2*w - 27, 5*x = -4*w - 41. Let t(i) = w*s(i) - 5*q(i). Give t(p(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-25))\/(-28 - (-4736)\/148)\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*(2 + sqrt(13)) - sqrt(325)*-1).\nAnswer: -9*sqrt(13) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 - -c?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/780 and -87\/2912.\nAnswer: 43680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1206*s + 393*s = 3555*s + 248976 for s.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 9*z**2 + 13*z + 14. Let m(c) = 4*c - 7. Calculate the remainder when p(10) is divided by m(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9548.531 to the nearest 10.\nAnswer: -9550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 105 and 261944403.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-644)\/72 + 9)*(-151)\/302?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13995631?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of -53*h**4\/8 + h**3\/6 - 14*h**2 + 6*h. Let d(n) = -2*n**2. Determine d(a(l)).\nAnswer: -50562*l**2 + 636*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7770570 by -1554114.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.4 (b) 0 (c) 69 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6340 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**3 - d + d - 1. Let p(w) = w**3 + w**2 + w. Let v be 72\/(-56) + (-4)\/(-14). Let s be p(v). Determine g(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 391?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 397689001?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300191, 301773, 303355, 304937?\nAnswer: 306519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 775894003 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 2\/3467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 4*x + 8. Let h be z(6). Suppose -t - 4*t - h = 0. What are the prime factors of t\/(-18) - (-129)\/27?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*6*(2 + (sqrt(2448) - sqrt(2448)*4 - sqrt(2448))) + 1)**2.\nAnswer: -60480*sqrt(17) + 12691657","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 8 = -3*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**3\/3 + 2*a**2 + 50*a\/3 + 14 = 0.\nAnswer: -3, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((120\/(-370))\/(-3))\/(-2). Is -2\/7 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5403*j**2 - 1321*j wrt j?\nAnswer: 10806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1691479380 to the nearest integer?\nAnswer: 41128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -23, -19, 0.\nAnswer: -23, -19, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24484.663 - 24483. What is q rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-8\/5)*b\/b**(2\/3))\/(b**2)**(-50) assuming b is positive.\nAnswer: b**(1481\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 22 + 8 = 3*k, a + 4 = -4*k. Let v = -7 - a. What are the prime factors of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q - 2. Suppose o - 3*b - 7 = 0, 0*b = -3*o - b + 11. Let d(n) = -6 + 8 + 16*n + 9. Let h(u) = o*d(u) + 22*z(u). Let v(k) = -k**2. Give h(v(m)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 8*h + 4. Let w(o) = o - 1. Let k be -5*(2 + (-6)\/15). Let r be w(k). Let j be l(r). Which is the biggest value? (a) -6 (b) j (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1525.2935 + -0.207.\nAnswer: -1525.5005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20 - -39) + -135 + (2 - 11 - -2).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 11411 (base 5) to base 4\nAnswer: 31120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1314.6 - 1279.6. Which is smaller: t or 120?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -143*t + 143*t + 12*t**2 + 141*t**2 to the form q*t**2 + p*t + g and give q.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4849, 0.08, -1\/76?\nAnswer: 4849","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of 0*h**4 + 0 + 0*h**3 + 1\/40*h**6 + 2*h**2 + 1\/10*h**5 + 0*h - 1\/70*h**7. Suppose g(c) = 0. Calculate c.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)*-2*-2.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1372651 (base 10) in base 12?\nAnswer: 562437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**2 - 61*y - 57*y + 5 - 34*y + 158*y.\nAnswer: -15*y**2 + 6*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-1\/21)*(q**(6\/5)*q)\/(q\/(q\/(q\/(q\/q**(-2\/9))))*q) assuming q is positive.\nAnswer: q**(433\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87*f**3*m + 15*f**3*t**2 - f**3 - f**2*t**2 + 2*f*m*t with respect to t.\nAnswer: 30*f**3*t - 2*f**2*t + 2*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus -187418132427?\nAnswer: 187418132427.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 1:06 PM?\nAnswer: 4:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 359422684 a multiple of 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8454821 - 4014821. Round n to the nearest 100000.\nAnswer: 4400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 39205 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/3)*g)**(-4\/19)\/(g**(2\/7))**(-2\/113))**(-18) assuming g is positive.\nAnswer: g**(93552\/15029)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-561)\/(-612) - 4\/6) + (32844\/(-48))\/(-7)?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2 = 0, -25*k + 4*i = -16*k + 26. Sort -4, -50, 0, k in descending order.\nAnswer: 0, k, -4, -50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 90, 127, 164?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -7*b**4\/5 + 93*b**3\/5 - 271*b**2\/5 - 273*b\/5 + 98\/5 = 0.\nAnswer: -1, 2\/7, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 656145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2682 or 2681?\nAnswer: 2681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 94135315 to the power of 1\/3, to the nearest integer?\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 95418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1)**(-4\/7)*((t\/t**(2\/23))\/t)\/(t\/(t\/t**(-5))*t))\/((t**(-1)\/t)**(3\/2)*(t*t**(1\/3))**(7\/8)) assuming t is positive.\nAnswer: t**(4999\/966)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3750764 - 3750764 + 592*k.\nAnswer: 592*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 828 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11861 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -34, -41, -50, -61, -74, -89?\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/5 + 6584*y\/5 - 988344.\nAnswer: 2*(y - 630)*(y + 3922)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/34520 and -109\/17260?\nAnswer: 34520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -284, -264, -230, -182?\n\"Answer: 7*t**2 - t - 290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7368?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 15. Let g(t) = 0*t**2 - 6*t**2 - 2 - t**3 - 5 + n*t. Let p be g(-7). Solve -q = -p*q - 2 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -631*x**3 + 3 - 2*x**2 - 4*x + 1253*x**3 - 625*x**3 as c*x**3 + a + f*x**2 + b*x and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 1 = 3*t, l = 3*t + 163 - 141 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -671*p - 107390. Give y(-160).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + -35. What is the second smallest value in -0.4, h, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5005416225 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 24814568?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6235 and 12180.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from adoqfoyd.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 277, 2173, 7319, 17341, 33865, 58517, 92923?\nAnswer: 138709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17677.887 - 17685. Let t = -7.2 - g. Let r = t + 0.0869952. What is r rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 64163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -173, -2345, -8529, -20735, -40973, -71253, -113585?\n\"Answer: -335*t**3 + 4*t**2 + 161*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -17. Let l(h) = -h**2 - 24*h - 28. Let w be l(-22). What are the prime factors of v\/w*(-296)\/(-3)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466898093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -255 greater than -22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 35 = 4*j, t = 5*j + 3*t - 49. Let d = 2 + -4. Let f = 7 + d. Solve -1 + j = -f*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-3 + (6 - -3)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 6*s - 1917 = 8*s, -n - 4*s = -653. Does 17 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*r - 440 = 125*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5 + sqrt(2) + -1)**2.\nAnswer: 8*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4*((-5 - -8) + -3). Suppose 10*s - 15*s + 25 = q. Suppose 2*v - 13 = -s*n, v + v - 5*n - 43 = 0. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-6))\/((-2)\/12). Let l be a\/(-4) + 18\/12. Let r(s) = 11*s. Let j(f) = 32*f. Let z(h) = 6*j(h) - 17*r(h). What is z(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 408 + -249. Is 17 a factor of o\/9 - 4\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 24 = -5*p, 4*i = -p - 3 + 11 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -305 - -742. Suppose -r + 1235 = 7*s. What are the prime factors of s?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27843 to 3 decimal places.\nAnswer: 0.278","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000011011 (base 2) in base 3?\nAnswer: 201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -67162 in 11, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -5463*p + 556. Is l(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 a when two letters picked without replacement from vgeveevgvvgdag?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1546.4479687525533 + -1944355604.4479600525533. Let b = j - -1944353939. Let r = b + 119. What is r rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230*11\/((-110)\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 301, 628, 1165, 1906, 2845, 3976, 5293?\n\"Answer: -x**3 + 111*x**2 + x + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 878 is divided by 438?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2 + 37*x.\nAnswer: x*(x + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-44 + 4653\/108)*6\/(-176)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -339*i - 2. Is n(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/11 (b) -1\/3 (c) 0.4 (d) -0.5 (e) 5.43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = z - 1. Suppose z*g - 9 = 4*n, 11 = -4*n + g - 0*g. Let s(v) = -3 + 90*v - 89*v + 6. Determine s(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**11*y\/(y*y\/(y*y**(-13)\/y))*(y**(3\/7)\/y)\/(y\/(y\/y**(2\/9))) assuming y is positive.\nAnswer: y**(-239\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n - 98 - 169 + 114*n**2 - 191 + 539 + 2*n**3 - 4*n**3. Is x(57) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 - 3 + 3 - 2. Let k be g(3). Suppose 3*d + 3*z - 48 = 0, 4*z = 4*d + 2*z - k. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -1100*p - 20. Let w be j(-2). Let v = -1423 + w. List the prime factors of v.\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -14, 2\/9, 0.2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 9 - 13 + (-2 + 2 + 3)*(-1 - 3 + 2))*(-1 - 2*h + 1) in the form p + i*h and give i.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**2 - 7*v + 3. Let u be 8\/6*27\/6. Suppose u*r - 4*r = 6. Suppose -2*h - 6 = -r*h. What is j(h)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(3 + 1 - 34). Let v be ((-2)\/5)\/((-6)\/p). Let c = -14 - -16. Solve -4*m + c + v = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - -4) + (7 - 4) + -120. Let r be f\/(-45) - 12\/4. Let i = 0.2 - 0.7. Which is the biggest value? (a) r (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -914 - -60323\/66. Put h, -5, 1\/2, 0.3 in increasing order.\nAnswer: -5, h, 0.3, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1791 - -16.0491. Round z to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c - 9*c**2 - 3*c + 2*c**2)*(-c**2 + 3*c**2 + c**2)*(3*c - 3*c - c).\nAnswer: 21*c**5 - 6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*a - 57*a = 15. Suppose 3*b + 2*r = 3*r + 91, -4*b - r + 112 = 0. What is the remainder when b is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(3 + -2) - -3. Let x = -57 + 59. What is the third derivative of -x*l**2 - 16*l**b - 5*l**6 + 7*l**2 wrt l?\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2. Let s(h) = 211*h**2 - 588992. Give s(i(j)).\nAnswer: 211*j**4 - 588992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**3 - 20*n**2 + 25*n - 10 = 0 for n.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 5. Let n be (2 - y)\/1 - -17. Suppose -5*i + 63 - n = 0. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**4 + 342*p**3 + 14628*p**2 + 171760*p = 0. What is p?\nAnswer: -113, -38, -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -3. Let m be 6 - 4 - (2 - q). Let f = m - -2. Solve 4 = f*y + y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -4*x**3 - 14*x**2 - 4*x + 8. Let l(j) = j**3 + j**2 - j - 1. Let v(b) = 3*l(b) + u(b). Is v(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19\/79 + -20878\/237. Let g = 88 + t. What is the third smallest value in 0.3, g, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 2*h**2 + 3*h - 2. Give t(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -2109 and -2138 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 2, t: 1, f: 1, r: 2}. Give prob of picking 1 f and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01099 rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6979, 13964, 20951, 27940, 34931?\n\"Answer: j**2 + 6982*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 10225 = -10200, -5*m + 9*m - 37 = -5*n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -491499.6 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (115 + 0*s + 2*s - 179)*(4*s - 6*s + 3*s)*(3 + 1 - 6)*(-4*s**2 + 11 - 11).\nAnswer: 16*s**4 - 512*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -19, -0.5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -293. Calculate the remainder when z is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.85443471 to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97 - 1071*s - 97 - 34*s)*(11 - 11 - 3*s).\nAnswer: 3315*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 - 3. Suppose -j*c = -c. What is the units digit of (26 + 2)\/(2 + c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 7*a - 5. Let v be q(-4). Let b = v + -5. Suppose o = b - 0. Solve -5*y = -13 - o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2296)\/(-451))\/56 + 1587\/(-33)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89897253 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from allqaaaaaa. What is prob of picking 1 q and 1 a?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11513 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 10:34 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/360 and -29\/10?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from ffsmsmisfw?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*t + 27398 - t**2 - 27403 - t**2 + (-3*t**2 + 2*t**2 - 3*t**2)*(1 + 1 - 4) to the form q*t**2 + z + b*t and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 11*k = 24. Let w be k\/1 - (-19 - -17). Let h(a) = 3*a**2 + 2*a + 1. Let v(c) = 2*c**2 + 3*c + 2. Let g(j) = 3*h(j) - 4*v(j). Calculate g(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 4 = -176*o + 179*o, -4*k - 11 = 3*o for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22 + 2211?\nAnswer: 2233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 229*a**2 + a + 4 wrt a.\nAnswer: 458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -75938\/27 or 1\/3?\nAnswer: -75938\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 15*h**2 - h + 18. Determine a(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1060 + -1057.869. What is n rounded to one dp?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -2*w + 8, 0 = 3*g + 12 - 18. Let z(x) = x**2 - 11*x + 24. What is z(w)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -7. Let b = -94 - -194. Suppose -q - l*q = -b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.735 kilograms to tonnes.\nAnswer: 0.060735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**3 + 1034*h**2 - 5812 with respect to h.\nAnswer: -6*h**2 + 2068*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39 + 43. Which is the second biggest value? (a) n (b) -1\/4 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 31208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 0.07 (c) 3 (d) 0.5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.73 - -11270.5.\nAnswer: 11269.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/7 - 92\/(-28). Let j = 2 - h. Let b be 0\/(j\/((-2)\/4)). Solve -3*w + 7*w - 12 = b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 1:22 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 10 = -4*i. Suppose i*z - 27 = 33. Is 4 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, 13, 107, 265, 493, 797, 1183, 1657?\nAnswer: 2225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34050593 less than 4.061?\nAnswer: -34050588.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of -1247*m**3\/3 + 1393*m - 1070. Differentiate a(h) with respect to h.\nAnswer: -2494*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -43248 - -99730. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 271*t**2 + 2*t. Let n be d(-3). Let u be (4\/(-6))\/((-2)\/n). Suppose -5*m + 4*r = -797, -5*m + 3*r = 6*r - u. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(3\/2))\/(((d**(-33)*d)\/d)\/d*d*d)*(d**(-1\/9))**(-25) assuming d is positive.\nAnswer: d**(617\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {a: 9, e: 1, t: 4, r: 1, z: 2}.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-17 - -4) - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3090 and 39.\nAnswer: 40170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 467356.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 divided by 100191?\nAnswer: 10\/33397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o**3 - 3305*o**2 - 6595*o - 3295 = 0 for o.\nAnswer: -659, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - x - 6 = 0, 4*x = -3*s + 1 - 3. Factor -58*g**2 - 120*g - 720 + 16*g**s + 24*g**2 + 13*g**2.\nAnswer: -5*(g + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6562907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 24*g**2 - 14*g. Let l(z) = 12*z**2 - 7*z. Let a(q) = -3*j(q) + 7*l(q). Find the second derivative of a(p) wrt p.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 809804684 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34970\/11 + 3175. Let z = -12089\/20 + 2375\/4. What is the common denominator of i and z?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-184)\/((-6)\/2*(14 - 600\/45)). Solve -3 = 95*k - u*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -3, 2.7, -5, 0.1?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 2:26 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2 = -4*f, -50*s - 3*f - 33 = -45*s for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 29*r + 523. Is c(29) a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6806dc (base 14) in base 9?\nAnswer: 6577881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y**3 - 2*y**2 + 10. Let u be h(4). Find the common denominator of u\/112 + 4 + -1 and 22\/(-66) - (-44)\/9.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -60 + 78. Let y(u) = u**2 - 21*u + 59. Let n be y(x). Solve -n*o = -4*j - 24, -2*o = 2*j + 3*o - 18 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4318435795 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02971 (b) 0.06 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(-3))\/((-16)\/1776). What is the first derivative of 37*b - r*b + 3 - 9*b**2 wrt b?\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5264473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1776 and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*c - 3*c = -1, -4*r = -4*c + 16. Let b(k) = -3 + 6*k + 2 - 3*k. Let o be b(r). Solve -o = 2*h - 2*f + 4, -2*h - 12 = -4*f for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5684*s**3 + 2365*s**2 + s wrt s.\nAnswer: 34104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 95142 and 57305?\nAnswer: 34726830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 3\/194626921?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21202 - 11112112100?\nAnswer: -11112020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of o**4\/12 + 2*o**3 - 15*o**2\/2 - 22*o. What is the remainder when 59 is divided by p(-15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + (sqrt(272) + sqrt(272) + 0)**2) + (0 + sqrt(425) - sqrt(425)) + -3 + 0.\nAnswer: -5443 - 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/24420 and 71\/17760.\nAnswer: 195360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2062 = -27*v + 1819 for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174183?\nAnswer: 3, 58061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*s + 144*s + 34*s + 1862 = 0 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11792\/(-3685))\/(2\/10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 divided by -234?\nAnswer: -83\/234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of -a**4\/4 + a**3 + a**2 - 2. Let u be l(4). Let m be (-4)\/((-2)\/u*-2). Solve -m + 3 = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1772*s**4 + 168344*s**3 - 517044*s**2 + 346144*s + 784 = 0 for s.\nAnswer: -98, -1\/443, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 16818 - 556. Is 17 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from {j: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4112 (base 8) in base 13?\nAnswer: c73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n - 14*n - 474646 + 18075 + 25*n.\nAnswer: 23*n - 456571","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 211035089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*z + 7*z + 195*z + 518*z.\nAnswer: 986*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*w = 287*w - 25 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (-3 - 3)*2. Let l(j) = j**3 - 10*j**2 + 10*j - 11. Let u be l(s). What is the remainder when (-2)\/(u\/16*2) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) 0.5 (c) 0 (d) -0.4 (e) 376 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -2\/3 (b) 95 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -44 + 26 + (7 - -51)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5329389, 10658777, 15988165, 21317553?\nAnswer: 26646941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -2\/65, -2\/11, -6\/5, -4?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -449*u - 2540. Let p be i(-6). Let x = -74 - -184. Suppose 11*l = x + p. What is the remainder when 45 is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 7*y**2 + 4*y + 14. Let q be i(6). Solve -q*m = -3*s - 0 + 4, 3*m - 12 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162532878 to the power of 1\/2, to the nearest integer?\nAnswer: 12749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 1:30 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16066.19mg in nanograms?\nAnswer: 16066190000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 662702868 and 2124?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + n**2 + 3*n + 17 - 8 in the form m + q*n + b*n**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -25.999 * 161.17\nAnswer: -4190.25883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100696?\nAnswer: 2, 41, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -4*n - 504 + 504 + 3*n. Let s(l) = -12*l - 24. Let q = 2 - 3. Let k(m) = q*s(m) - 15*i(m). What is the first derivative of k(f) wrt f?\nAnswer: 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l + 5. Let a(f) = f - 1. What is 3*a(o) + p(o)?\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4090 divided by -4?\nAnswer: -2045\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9285 = -403*f - 7597 + 11611 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 589702?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4*sqrt(39)*2)\/(-6*sqrt(3)*2).\nAnswer: -5 + 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*s - 79, 3*s = -3*v + 126 + 201. Let u be 4*(-12)\/(-80)*(265 + -5). What is the highest common divisor of v and u?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*(20\/120)\/((-2)\/8). Factor 0 + 2\/7*x - 2\/7*x**v.\nAnswer: -2*x*(x - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 + 5*s**2 - s - 4. Let f be z(3). Let y be 15\/(-6)*f\/10. Solve y*t = -19 + 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12112 (base 5) to base 11\nAnswer: -755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-23)\/46 + 62\/4. Suppose a - 53 = -4*x - 0*a, 3*x - a = 31. What is the smallest common multiple of 20\/r*7\/((-28)\/(-48)) and x?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + z - 768 = 0. Let i be (-26)\/(-91) + z\/7. What is the highest common divisor of 56 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108.5 - 20.5. Let b = f - 54. Let j = b - 35. Put j, -4\/3, -2 in decreasing order.\nAnswer: j, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 - -251\/4. What is the nearest to -0.1 in -2\/9, 1\/3, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619676 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13.34 or 13?\nAnswer: 13.34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**2 - 4094*v - 16420. Let r be w(-4). Factor -27\/2*x**5 + 0 - 45\/2*x**r - 18*x**2 + 48*x**3 + 0*x.\nAnswer: -3*x**2*(x + 3)*(3*x - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1815\/8 - 228. Let h be (-6616)\/16*(-1 - -2). Let x = h + 428. Calculate the common denominator of f and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 14.89. Let r = u - 0.21. Which is the biggest value? (a) 4 (b) 4\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-3))\/((-1)\/(-6)). Suppose -z*p - 2*p = 0. Suppose p - 1\/2*h**3 + 1\/4*h**5 + 0*h**2 + 1\/4*h + 0*h**4 = 0. What is h?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 4014490?\nAnswer: -12043470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a decade in years?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - -0.1. Let p = d + -0.3. Let i be (3\/2)\/((-21)\/6). Which is the nearest to 0.1? (a) i (b) -2\/7 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19059?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 + 8362 - 4181 - 4181 - 21287*t.\nAnswer: 3*t**3 - 21287*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 4*w + 4 = -8, w = 2*c - 13. Let b = c - -6. Find the third derivative of -18*z**4 + 33*z**4 - 5*z**2 - b*z**2 wrt z.\nAnswer: 360*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -7*f**4\/2 + 79*f**3\/2 + 752*f**2 + 1630*f - 528 = 0. Calculate f.\nAnswer: -8, -3, 2\/7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 (base 16) in base 3?\nAnswer: 10220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 26 = -s, 92 - 15 = -3*b - 4*s. Let x = b + 51. Let c = 36 - x. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 22.12991 centuries?\nAnswer: 2.212991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -1\/360*n**5 + 1\/18*n**3 + 0 + 3*n + 1\/144*n**4 - 4*n**2. Let a(v) be the first derivative of u(v). Factor a(f).\nAnswer: -(f - 2)*(f + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.978948 litres in millilitres?\nAnswer: 978.948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of f**4\/4 - 5*f**3\/3 + 8*f**2 - 53*f + 14. What is the remainder when y(6) is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13.16 + -0.16. Let m = -7.4 - 3.3. Let s = j + m. Round s to zero dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/6 and (-256542)\/28548 + 3*3?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**3 - 710*i**2 + 23725*i + 106580 = 0.\nAnswer: -4, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -619 and -0.314.\nAnswer: 194.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 9. Let x = 4 - g. Let y be ((-4)\/3)\/4*x. Which is the closest to y? (a) -0.4 (b) 1\/10 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23059 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 4. Suppose u*f - 5 = -o, 2*f + 0*f - o = -5. Solve 5 = -f*c + c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**3\/3 - 404*j**2\/9 + 694*j\/9 + 92\/3 = 0 for j.\nAnswer: -69, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of 0*w + 4*w**2 + 0*w**3 + 0*w**4 - 4 - 8\/5*w**5. Find the second derivative of i(h) wrt h.\nAnswer: -96*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 117 + -104. Let s(q) = q**3 - 12*q**2 - 12*q - 20. Let n be s(f). Let o(w) = w**2 + 4*w - 1. What is the remainder when 34 is divided by o(n)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - s + 4*b + 25, 0 = 2*b - 10. Solve 5*j - s = -5*n, 3*n - j + 3 = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2358, -9545, -21566, -38421, -60110, -86633?\nAnswer: -117990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - -1011011001010?\nAnswer: 1011011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -478*g*j**3 - 34*g*j**2 + 811*g*j - 31*j**3 wrt j?\nAnswer: -2868*g - 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41371099 is divided by 113?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -1.65\nAnswer: 4.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 81, -16, 1, 7, 4, 16, -2 in descending order.\nAnswer: 81, 16, 7, 4, 1, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 47*o**2 + 288*o + 11. Let k be s(-11). Calculate the highest common divisor of 33 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-143)\/26 - -20538 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 0 in ascending order.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004 times 0.075?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 6. Let r = 7 + s. What is the smallest common multiple of r and 58?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 + -64. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 3 - 3, 4*j - 15 = -c. Suppose -j*a - 2 = -a. Let g be a\/2*(-216)\/18. Put 2, g, -2 in increasing order.\nAnswer: -2, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/13)\/(6\/(-12))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40.2, -1, 4, 0.5.\nAnswer: -40.2, -1, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(6*(-4)\/6)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2604?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*x + 7. Suppose 0 = -2*z + x + 20. Calculate the smallest common multiple of 2 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - m + 2*o - 5 = 0, 3*o + 5 = 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(847)*-2 + 3)**2 + sqrt(847) + 0 + 5.\nAnswer: -121*sqrt(7) + 3401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 39 - 5?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by 89?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -3*r + r. What are the prime factors of r?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/4377 - 58845\/5836. What is the common denominator of w and 2 + 2 - 6495\/1800 - (-2)\/12?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z - 4*l + 18, 4*z + l = -9. Let t be 2*(2\/4 + -1). Let r = -17 + 17. Put t, z, r in increasing order.\nAnswer: z, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the third derivative of -2*g**2 - 1\/105*g**7 + 0*g**6 + 0 - 1\/3*g**3 + 0*g**4 + 1\/15*g**5 + 0*g. Suppose x(k) = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - b + 1. Let t(i) = -i**2 - i. Suppose 5*o + 11 = 1. Let n(d) = o*r(d) + 3*t(d). Factor n(s).\nAnswer: (s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, t: 1, g: 1, e: 1, q: 1, w: 1}. What is prob of picking 1 e and 1 q?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 23, 39, 55, 71, 87, 103?\n\"Answer: 16*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*a + 6*a. Calculate the lowest common multiple of a and 11\/5*(-4 - -9).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -35 (b) -7 (c) 5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 809.7934 - -0.6066. What is s rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3498*w - 126316 = -4871*w for w.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336) + sqrt(336) + (sqrt(336) - -3*sqrt(336))*-1 + sqrt(336) - sqrt(336))\/(1*sqrt(60)\/sqrt(5)).\nAnswer: -4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -16.6. Let b = -0.4 - w. Let u = 1.4 - b. What is the third smallest value in -4\/3, 0, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10987 is divided by 297?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37859 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40031956*d**2 - 1852*d + 10753 wrt d.\nAnswer: -80063912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 408 and 36?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6996*x**2 + 5*x. Let y(f) = 458236*f**2 - 327*f. What is -327*c(b) - 5*y(b)?\nAnswer: -3488*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 - 11*t + 14. Let f be q(-12). Find the third derivative of -5*n**3 + 2*n - n - n - 3*n**f wrt n.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4293 and 99.\nAnswer: 47223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 289637772?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of z**6\/180 + z**5\/120 - z**4\/72 - z**3\/36 + 18*z - 18. Let d(y) be the first derivative of q(y). Factor d(v).\nAnswer: v*(v - 1)*(v + 1)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 431206 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**4\/24 - 7*b**3\/6 - 3*b**2\/2 + 1. Let q(f) be the second derivative of h(f). What is q(5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202*q + 32*q - 240*q + 8*q.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/3 - (1 - -1). Let h(j) = 2*j + 5. Give h(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*o + 121 + 201 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 15*q**3 - 9*q - 6. Let l(t) = -t + 1. Suppose -5*f = -2*f + 3. Let w(y) = f*g(y) + 9*l(y). Differentiate w(z) with respect to z.\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -0.5, -5, 29, 1\/4 in increasing order.\nAnswer: -5, -5\/6, -0.5, 1\/4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t**4\/7 + 34708*t**3\/7 - 20923848*t**2\/7 - 341437312*t\/7 - 196374016 = 0 for t.\nAnswer: -9242, -8, 581","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-10)*-6*-1. What is the second derivative of -j*z + 4*z**3 - 9*z**3 - 4*z**3 wrt z?\nAnswer: -54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 22*a**2. Let k(l) be the third derivative of -3*l**4\/4 + 6*l**2 + 7*l - 1. Give k(x(v)).\nAnswer: -396*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, w: 1, c: 1}. What is prob of picking 1 c and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - w - 69 = -2*w, -5*t + 77 = 3*w. Suppose 3*u = 2*u + t. What is the greatest common divisor of 104 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**2 - 6*y**2 + 10*y**2 + 2*y**3 - 11*y**3.\nAnswer: -9*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107191.38 months to centuries.\nAnswer: 89.32615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/10)\/(1\/2). Let a be (-4)\/2 + (-7)\/i. Determine q so that 2 - 3*q**2 - 16*q**4 + 14*q + 32*q**a + 8*q**2 - 46*q**3 + 9*q**2 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*s - 5, 0 = -0*f - 2*f + 4*s + 26. Find the third derivative of 16*x**2 - 2*x**f - 11*x**4 + 21*x**4 - 8*x**4 + 17*x**5 wrt x.\nAnswer: 900*x**2 + 48*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4827812 and 12204?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14184*r + 3487*r + 3478*r + 3486*r + 3730*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1395488*k**3 + 8076335*k**2 wrt k?\nAnswer: 8372928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-26908)\/308)\/31*11\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -3 + 4 - j + 0*j. Let o(m) = -9*m + 6. Let s(a) = -o(a) + 6*u(a). Let g(q) be the third derivative of -q**5\/60 + 44*q**2 - 2*q. What is s(g(p))?\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 88 = y. Let k = 72 - y. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -1378*a + 164. Let k be u(8). What are the prime factors of (-1 - -6) + (-53)\/(530\/k)?\nAnswer: 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -48. Let a = z + 9. Let k = -20 - a. Let v(p) = p**3 - 5*p**2 + p - 2. Calculate v(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6621 less than -5283.2857?\nAnswer: -11904.2857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mmxmmmmxmdmiximx.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -248 - -293. Suppose 22*d + s = 507. Solve 0 = -d*y + 25*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3 - 5 + 10 + j. Calculate the least common multiple of o(22) and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**0)**(2\/3)*q**(-4)*q*q\/(q*q*q**(3\/5))*((q**(1\/15)*q)\/q**7)**(7\/2) assuming q is positive.\nAnswer: q**(-761\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/37341880 and -111\/5060.\nAnswer: 410760680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**0)**(-37\/4)\/(s**(-1\/7)*s**(-1\/6))*s**1*s**6*(s*s**(-4)\/s)\/(s**(-3\/2)*s) assuming s is positive.\nAnswer: s**(-457\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {q: 4, p: 2, v: 1, j: 3, b: 2, l: 2}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 1\/70*a**6 + 3\/14*a**3 - 5\/28*a**4 + 0 + 25*a + 0*a**2 + 3\/140*a**5. Factor r(m).\nAnswer: 3*m*(m - 1)**2*(m + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15531503 (base 6) in base 12?\nAnswer: -229b93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 99*q**2 - 415*q + 308. Let v be u(103). Sort -3, 12, -11, v, 1 in ascending order.\nAnswer: -11, -3, v, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 0 = 6*i. Suppose c - 64 = -i*c. What is the remainder when 89 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75537350 a multiple of 3325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 76 and 133.\nAnswer: 532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 297, 260, 219, 174?\n\"Answer: -2*k**2 - 31*k + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2 = -2*z, -3*z + 2*q - 4*q = -28. Suppose 4*v - 7*v + z = 0. Let a be (-4 + v)*2 + 4. Solve a = -5*b - 1 + 26 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, c: 1, u: 6, e: 7}. Give prob of sequence urru.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40487143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 - 39. Suppose 260 = -24*z + t*z. Let l = z - -116. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5020 = -10*k + 30*k. What is the remainder when k is divided by 33?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1824436, 3648871, 5473310, 7297753, 9122200?\nAnswer: 10946651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15528*i*r + 4037*i - 2*r + 2 wrt r?\nAnswer: -15528*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22 - 2*b + 20 + 15*b + (-2*b + 1 - 1)*(-1 + 0 + 0) - 1 + 2*b + 1 + (0*b - 3*b - 2*b)*(0 + 4 - 5) + 0 + b + 0.\nAnswer: 23*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffif when four letters picked without replacement from ifff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4191 and 35\/13024.\nAnswer: 4962144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/19420 and -99\/10?\nAnswer: 19420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -13 - 1 - 34 - -8) + 2.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 986*i + 32337 = -34711 for i.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -222 + 255.9. Let o = 34 - k. Let p = 0.1 - 0. Which is the closest to o? (a) 0 (b) -3\/4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 968 * 0.3671\nAnswer: 355.3528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1037 (base 9) in base 2?\nAnswer: -1011111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376329633.\nAnswer: 3, 719, 174469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from {p: 3, w: 11}.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 y, and 1 v when three letters picked without replacement from {v: 6, d: 4, y: 2, q: 3, s: 2}.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -407*a - 17. Let o(v) = 407*v + 18. Let c(m) = -4*l(m) - 3*o(m). What is the tens digit of c(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -40 + 563. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-6)*g))\/g**6)\/((g*g*(g*g**5*g)\/g)\/g**(-1\/2)) assuming g is positive.\nAnswer: g**(-43\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.7 and -0.179669.\nAnswer: 0.520331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*s = -6, -2 = -5*o + 4*s - 0*s. Let h(q) be the first derivative of 0*q - 1\/2*q**3 - 3 - 3\/10*q**5 - 3\/4*q**4 + 0*q**o. Factor h(b).\nAnswer: -3*b**2*(b + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 132331 (base 9) to base 13\nAnswer: 2a814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 225053728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/8 - (-145)\/20)*2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 4*d = -6*r + 28, -4*d = r - 32. Let y be 690*(-13 + 713)*r\/(-6). Round y to the nearest 100000.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 1\/360*o**5 + 0 + 0*o**3 + 1\/144*o**4 - 2*o**2 + 0*o. Determine a, given that l(a) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2. Let d(t) = 7*t**2 - 5. Let r(a) = -3*a**2 + 2. Let w = -14 - -16. Let x(g) = w*d(g) + 5*r(g). Give q(x(o)).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -55 + 105 - 11 - (-1 - (0 - 0))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*(-7)\/(-56))\/((-2)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 556416\/605568 - (-4)\/38 - 1.\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*z**3 + 11 - 49 + 9 + 14 + 40*z + z**3 + 18.\nAnswer: 17*z**3 + 40*z + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -559719, -2238881, -5037485, -8955531?\nAnswer: -13993019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 0\/8)*(-24)\/(-288)*-12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 11, 0, -1 in descending order.\nAnswer: 11, 0, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 241066 divided by -61\nAnswer: -241066\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 16273681?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 394589953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(78)*-2 + (sqrt(78) + sqrt(78)*-2 + sqrt(78))*-1)\/(sqrt(294) + -3*sqrt(294)*1 + sqrt(294) - -6*(sqrt(294) - -1*sqrt(294))).\nAnswer: 10*sqrt(13)\/77","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 9:35 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*-3 + sqrt(7) - (sqrt(112) + 2).\nAnswer: -18*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23972422 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(4\/19)\/(q**(2\/39)\/q) assuming q is positive.\nAnswer: q**(859\/741)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6*u + 3*r = 417, 0 = -3*u + 5*r + 257. Let j = -181 - u. Is j\/20*-1*4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - 2 - (0 - (3 + 3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from {x: 1, c: 1, k: 1, b: 1, r: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4799a + -289?\nAnswer: -48178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, p: 6, r: 1, x: 3}. What is prob of sequence oo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11807*i**4 - 2*i**2 + 10*i - 183 wrt i?\nAnswer: -283368*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -8*t + 360. Which is smaller: 29 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-458)\/(-616) - (-3102)\/(-3619). What is the third biggest value in k, -0.4, -1\/8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a + 290. Let y(t) = -9*t**2. Give y(q(p)).\nAnswer: -9*p**2 + 5220*p - 756900","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**2 + w + 0*w**2 - 4*w to t*w**2 + h*w + n and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 755095 - -198085. Suppose 3*v = 96820 + u. What is v rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374980 - 403388 = 268*q for q.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 220 - 178. Let w be 8 + -1 - (q - 37). Suppose 0 + 1\/4*m**3 - 5\/4*m**w + m = 0. What is m?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3969411 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 205333029079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 7 + -10 + (4 - -3). Let y(r) be the first derivative of -5\/2*r**v + 0*r**3 - 3*r - 1 + 0*r**2. What is the first derivative of y(b) wrt b?\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 688, 9, -15, 1, 0 in decreasing order.\nAnswer: 688, 9, 1, 0, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 78 + (-4 - (79 - 76))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 540519 = 540529?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4815*d**3 - 532*d**3 - d + d + 246*d**3 - 1620*d**3.\nAnswer: 2909*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (29\/((-870)\/(-12)))\/((-3)\/75)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1932432665 to the nearest one hundred thousand.\nAnswer: 1932400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37 + 3 + 81)*(2*s - 2*s - s) + 2*s + 2*s - 2*s + 3 - 2*s - 3 + (0*s - s - 2*s)*(0 - 1 + 3).\nAnswer: -53*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + t - 83 = 2*t, 4*t - 277 = 3*b. Let q = b - -92. Solve -3*g + g - 25 = 5*x, q*x + 35 = -4*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 1. Let z(a) = -55*a + 549. Let d be z(10). Let i(g) = -14*g - 35. Calculate d*i(r) - 35*b(r).\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2865717665.\nAnswer: 5, 367, 463, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rl when two letters picked without replacement from {l: 1, b: 8, k: 1, j: 1, r: 1, t: 4}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 5*l**2 - 4. Let g(d) = -6*d**3 - 26*d**2 + 20. Let s(n) = -11*b(n) - 2*g(n). Suppose -4*r - 4 - 12 = 0, -u + 2*r = -11. Determine s(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120339.\nAnswer: 3, 4457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 169027?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 544, 2807, 6596, 11917, 18776, 27179, 37132?\nAnswer: 48641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -w + 6*w - 5*j, -2*w + 12*j = 32 + 10 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 + 36. Let u be 16 + (0 - b)\/(-3). Is (1448 + u)\/((-4)\/(-14)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 70*m**3 - 1 - 35*m**3 - 33*m**3.\nAnswer: 2*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 5, 1, -0.1 in descending order.\nAnswer: 5, 1, -0.1, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147263.\nAnswer: 147263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-129)\/(-6))\/(-1 - 1) and -5 + ((-5842)\/(-322))\/(18\/7).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -13*n + 3. Let w be z(5). Let c = -38 - w. Let j = c - 6. Calculate the highest common divisor of j and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q = -43 + 55 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (11 - -4)) + -6\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/16 (b) 4 (c) 1\/3 (d) 652 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.9877095 grams?\nAnswer: 0.0009877095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 + 29*s**2 + 76*s - 52. Determine p(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136639041?\nAnswer: 3, 7, 11, 31, 19081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3*p = 234 - 357, 0 = 7*f + 6*p + 174 for f.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*l - 5*l + 599033. What is the thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -465, -903, -1329, -1737, -2121?\nAnswer: -2475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 10268?\nAnswer: 10268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 3*n = -6. Let j be (3\/(-18))\/(2\/((-8)\/3)). Determine q, given that 0 - 2\/9*q - j*q**3 + 4\/9*q**n = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j + 0*j - 4*j)*(-19*j**2 + 15*j**2 + 39*j**2) in the form m*j**3 + d*j + r*j**2 + u and give m.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52\/3909 - -8078\/19545. Factor 44\/5 + 18\/5*v - s*v**2.\nAnswer: -2*(v - 11)*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**2 + 29*g**3 - 47*g**3 + 72 + 11*g**3 + (g**3 - 3*g + 3*g)*(-2 + 5 - 4) to b*g + a*g**2 + u + k*g**3 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of x**4\/12 + 69*x**2. Let s(f) = -8*f + 4. Let z(o) = 7*o - 3. Let q = -8 + 5. Let t(j) = q*s(j) - 4*z(j). Give w(t(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 + 11*q - 4. Let r be b(-5). Suppose 0 = -15*l + 11*l + r. Solve 0 - l = -2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 56*p + 52.\nAnswer: 4*(p + 1)*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.6 - 0.2. Let r = 8100 + -8101. Let m = -3 + 6. Which is the fourth biggest value? (a) o (b) m (c) r (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -261, 0.06 in increasing order.\nAnswer: -261, -2\/7, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011010101001 (base 2) in base 7?\nAnswer: -22625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129634 = -139*r - 139225 for r.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (0 - 12)) + (63 - 66)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/4 of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1296, -2409, -3536, -4683, -5856?\n\"Answer: -x**3 - x**2 - 1103*x - 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a = 44*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2754 divided by 24418?\nAnswer: -1377\/12209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 1:08 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00288847486 to three dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/6)\/((-5)\/(-15)). Let i = 8 + -31\/4. What is the closest to i in s, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a millennium?\nAnswer: 33000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 580901 - 77148. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, d: 4}. What is prob of picking 2 z and 1 d?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 9:26 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 - 1544*q**3 - 10774*q**2 - 23064*q - 13833.\nAnswer: -(q + 1)*(q + 3)**2*(q + 1537)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 312*h**2 + 4*h - 2. What is u(1)?\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 160577.61 to the nearest one thousand.\nAnswer: 161000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19697169.\nAnswer: 3, 17, 386219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*w - 6130 - 15560 = 1541*w for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -48 - -51. Suppose -5*o + t*y + 171 = -o, -4*y = -12. What is the lowest common multiple of 42 and o?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -36\/60139?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 649?\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1606.\nAnswer: 2, 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (-31)\/(-4))*(4 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.414852097 rounded to 3 decimal places?\nAnswer: 0.415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/1)\/((24\/16)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -350.4799\nAnswer: -1401.9196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-20)\/(-540)*462 - 18)*1\/2. Let d = -7\/3 - -2. Which is the nearest to -0.1? (a) d (b) i (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y + 0*y + 5*y - 11*y**2 + (-3*y + 5*y + 2*y)*(-2*y + 2*y + y).\nAnswer: -7*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5d20 (base 15) in base 13?\nAnswer: -9045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.97 + 1.31. What is m rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 divided by 202478\nAnswer: -9\/202478","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 68508 a multiple of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-18) + 28\/(-8).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5761.82943 minutes to weeks.\nAnswer: 0.5716100625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 197799 and 355929?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 48 = -f. Calculate the least common multiple of f and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-44)\/6*-3 - 2. Let t(i) = 14*i**2 - 2*i + 4. Let l be t(4). Calculate the highest common factor of l and c.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 68 = j + 3*j, 3*j = -2*w - 39. Let m be w\/(-4)*(-24)\/(-18). Suppose -6 = h + 4*y, -5 = -3*h - 4*y + 1. Is m at least h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2. Let w(a) = 554015923*a. What is q(w(b))?\nAnswer: -613867285875083858*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-23391)\/(-4068) - (-52)\/(-9)\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d - 3*i + 4*i + 3961, -2*d - i = -1583. Is d a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22270, -44414, -66558?\nAnswer: -88702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1545570 divided by 65\nAnswer: 23778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = 57*u - 69*u. Calculate the remainder when 65 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -7. Let w = 155 - 155.4. Which is the closest to -0.1? (a) w (b) 4\/5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132204831 times -3?\nAnswer: -396614493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 5*f + 16. Give a(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 83, 137, 203, 275, 347, 413, 467?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-8))\/((-6)\/15). Is m >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of 578*t**5\/5 + 3693*t**4\/8 - 1296*t**2 + 4. What is the second derivative of g(x) wrt x?\nAnswer: 13872","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10\/25 + 34\/(-35). Which is bigger: c or -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4.8, 0.041, 3\/4, -0.4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 125 - (6382 - 6337)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22977275927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*t - 13. Suppose 0*y - y + t = -5*q, 3*y = -2*q + 19. Let w(v) = -2*v - 7*v + v + y*v. Let j(z) = z. Give w(j(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1233 = -5*l - 4*f, 3*l = -f + 2*f + 733. Suppose -25*v + l = -18*v. Let z = v + -29. Solve 0 = -c - c + z for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ososogs. What is prob of picking 2 s, 1 g, and 1 o?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -145597 (base 14) to base 4\nAnswer: -2230130101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.7 * 110378.\nAnswer: -408398.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -901\/18 smaller than -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 811214134 divided by 2?\nAnswer: 405607067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*s - 11. Solve a = s*a + 4 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + (-73 - -71) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**3 + 8*m**3 + m**3)*(m - 5*m + 2*m).\nAnswer: -16*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -101063800 to the nearest one hundred thousand.\nAnswer: -101100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 + -40. What is the remainder when c is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + m**2. Let l(p) = 4*p**3 - p**2 + 2*p. Let c(z) = z**3 + z. Let y(d) = -2*c(d) + l(d). Let k = -272 + 269. Determine k*y(r) - 7*h(r).\nAnswer: r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -102011010 (base 3) to base 16\nAnswer: -1fc2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242725 is divided by 3031?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2. Let k(d) be the second derivative of -d**5\/2 - 7*d**4\/12 - 157*d**2\/2 - 52*d. Let f(v) = -k(v) + 4*z(v). What is the derivative of f(s) wrt s?\nAnswer: 30*s**2 + 14*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.321548 centuries to years.\nAnswer: 832.1548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -158 bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3*u**2 + 17*u - 17. Let n be l(-8). Suppose 0 = -n*t + 47*t - 168. Calculate the remainder when t is divided by 12 - (2 - 0)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -41*v - 1026. Let c(g) = 48*g + 1025. What is 6*c(f) + 7*h(f)?\nAnswer: f - 1032","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2215 rounded to two decimal places?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -196831, -787306, -1771423, -3149176, -4920559, -7085566?\nAnswer: -9644191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2 + 22. Let r be ((j\/(-5))\/(-2))\/1. Let z = -0.001 + -0.999. Put 6, z, r in descending order.\nAnswer: 6, r, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -c**5\/360 - c**4\/36 - c**3\/12 + 11*c**2 - c - 11. Let v(p) be the first derivative of q(p). Determine z so that v(z) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 31285, 31213, 31141, 31069, 30997, 30925?\n\"Answer: -72*c + 31357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1251 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of -151 + 3*x - 1\/6*x**3 + 1\/4*x**2. Determine b so that l(b) = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 + 2 - (-30 + 28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/13? (a) 1176\/223 (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 1 + 1)*(2*g + 4 - 4) - 643 + 324 - 9*g**2 + 324 + (-2*g + 5*g - 4*g)*(0*g - 3*g - g).\nAnswer: -3*g**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + 12700?\nAnswer: 12703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -13 - -28*(-3)\/(-6). Solve -a - n = -g, -2*a - 8*g = -3*g - 26 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1222221 (base 3) to base 12\nAnswer: -a14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i - 26351 = -26443 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 225079257 to the nearest integer?\nAnswer: 608","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.2671m to centimeters.\nAnswer: 3326.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 727869047?\nAnswer: 113, 6441319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 288452*b**2*d**2 + 88*b**2*d - 6*b*d - 7 wrt d?\nAnswer: 576904*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 213843870 divided by 302895.\nAnswer: 706","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8501 + 8501.000001028. What is a rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 37 and 8 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 4*y**5\/25 - y**4\/5 - 31. Let r(s) = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4 = -2*x + 23, -x = 3*o - 42. Calculate the remainder when 24 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 27*d**2 + 29*d + 4. Let c(n) = 2*n**3 - 55*n**2 - 59*n - 10. Let x(k) = 2*c(k) + 5*u(k). Find the second derivative of x(i) wrt i.\nAnswer: -6*i + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -16 + 9 - 66*l + 13 + 12 + 27 wrt l.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1542*l**2 + 229*l - 2*l**3 - 297992 + 47113*l - 343790*l.\nAnswer: -2*(l - 386)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 11*p + p**2 - 6*p**2 - p**2 - 7*p**3. Let i(u) = 8*u**3 + 7*u**2 - 12*u. Suppose -3*x + 6 = 3*h, 3*h - 18 = 3*x - 48. Calculate x*i(v) + 7*f(v).\nAnswer: -v**3 + 5*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 231 - 247. Let b be 5*(-4 - (-72)\/15). Suppose -n - b*n = 5. Do g and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) -1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 81538439 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 - 55315*v + 36878.\nAnswer: -(v + 18439)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 305587?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1321550 + 404?\nAnswer: -1321142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 520, 6, -2, -5, -14\/9?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/26, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -30780.534?\nAnswer: -3078.0534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3992695 is divided by 1067.\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.5 and -38111.\nAnswer: 95277.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 6:41 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 4*k**2 - 59*k + 3. Determine n(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 42, 75, 108, 141, 174, 207?\n\"Answer: 33*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*j = 0, 3*j = -6*v + v. Suppose -6*q + q + 590 = v. Find the common denominator of q\/10 - 4\/(-10) and 74\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 v when two letters picked without replacement from {v: 3, r: 1, t: 1, u: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1741 + 1811 - (-2 + -1)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 0*a = 2*v - 152, -207 = -3*v - 4*a. Let t = -85 + v. Which is bigger: 27 or t?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (-2 + sqrt(704) + (sqrt(704) - (1 + sqrt(704) - sqrt(704))))) + -2*(sqrt(704) + 1) + (sqrt(704) - 1*(sqrt(704) + 2)) + -2)**2*2 + -4.\nAnswer: 288*sqrt(11) + 12686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 836 + -828. What is the greatest common factor of 26 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 37\/3*a**3 + 0*a**5 + 47*a - 1\/21*a**7 + 0*a**2 - 11\/6*a**4 + 0*a**6 + 2. Find the second derivative of j(p) wrt p.\nAnswer: -40*p**3 - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*i - 4*j + 18, 5*i - 104*j = -107*j + 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10065 smaller than 10065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 m when three letters picked without replacement from mmmmmmmmmcmmmcmmmm.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/700 and 54\/275.\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 28*y**4 + 13896*y**3 - 24004*y**2 - 49824*y - 11952 = 0.\nAnswer: -498, -1, -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 35*g**4 + 480*g**3 - 1365*g**2 - 1330*g + 480 = 0.\nAnswer: -16, -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36446987 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5195 + -5192. Is -2.351 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -0 + 12. Suppose 9*g + 6 = t*g. What is the second smallest value in 3, -1\/8, g?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8132989633 to the power of 1\/2, to the nearest integer?\nAnswer: 90183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**3 - 6*k**2 + 7*k - 4. Let j be (-87)\/12 + 1\/4. Determine p(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354358\/7 at most 50623?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 10934201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-50)*((-14)\/28)\/((-3)\/15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/11)\/(o\/(o**(-10)*o*o))*o**(1\/7)\/o**(2\/9) assuming o is positive.\nAnswer: o**(-6418\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 9*k - 4*k = 110, 0 = -2*o + 3*k + 39. What is the remainder when 40 is divided by o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.915 minus -5?\nAnswer: -12.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**4\/12 + 29*x**3\/6 + 3*x**2 - 3*x. Is n(16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d. Let o(r) = -r**2 - 6*r + 3. Let k(a) = 2*g(a) + o(a). Let s = 3773 - 3769. Let l(u) = u**2 + 5*u - 3. Calculate s*k(p) + 3*l(p).\nAnswer: -p**2 - p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(44)\/sqrt(64).\nAnswer: 3*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -3 (c) 3 (d) -0.0012\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, 2, 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7773*j**4 - 11768*j?\nAnswer: -93276*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60794?\nAnswer: 2, 113, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j + j)*(0 - j**4 + 0) + (j - j - j)*(0*j**4 + 0*j**4 - 2*j**4) + j**4 + j**5 - j**4.\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -58194, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4611\/2332)\/(42\/(-308)).\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76)\/(sqrt(4) - sqrt(64)) - 2*sqrt(475).\nAnswer: -31*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0*(187\/22 + 1*-5 + -4). Solve c = 7*x + 11 - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2*t**2\/13 + 6934*t\/13 + 5438664\/13 = 0.\nAnswer: -2268, -1199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of 0 - 1\/3*y**3 + 0*y**2 - 3*y. Let b(t) = -7*t**2. Calculate f(b(w)).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {d: 1, j: 4, g: 1, x: 1, u: 7, s: 4}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r + 4*r - 5*r.\nAnswer: -5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*z = -180*z - 3*c + 31012, 4*z - c - 31028 = 0. List the prime factors of z.\nAnswer: 2, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 2:11 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 161*z**2 + 2*z. Let l(c) = c + 135. Give i(l(q)).\nAnswer: 161*q**2 + 43472*q + 2934495","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2. Let m be h(-2). What is the second derivative of -3*n**4 + 3*n + 5*n**4 - 3*n**m wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1765413 is divided by 679?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -6096, 0.5, -3 in decreasing order.\nAnswer: 0.5, -3, -6096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbaova. What is prob of sequence vb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -2. Let m = -0.551 + -1.449. Which is the biggest value? (a) m (b) 4 (c) -5\/2 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d + 4. What is the tens digit of r(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1426375120?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**3 - 3*k + 6*k**3 - 6*k - 3*k**3 wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - r - 3*r = 14, 5*r = -2*p - 19. Let n be 4\/8 + (-1)\/p. Suppose n - 15 = -b. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (27 + -38 + 38 + -24 + (-1 - -77)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.2, -1\/64 in ascending order.\nAnswer: -1\/64, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t. Let k(j) = 202552205*j. What is s(k(b))?\nAnswer: 202552205*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -25*v - 83. Let b(r) = r + 8. Let g be b(-12). Let q be i(g). Solve 0 = 11*w - q*w - 30 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4*y = 8*y + 13, -4*k + 34 = 2*y. Solve k*m + 6 = 11*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 16*k - 22 = k. Solve 32 = -11*q - k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4395 - -4406. Solve 15*c = p*c - 20 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**5\/12 + 5*p**4\/24 - 7*p**3\/6 - p**2. Suppose f = -5*k - 7, 1 = 2*k + 5. List the prime factors of x(f).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -249 - 251 + 4*h + 500.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293850030.\nAnswer: 2, 3, 5, 131, 74771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r + 76. Let h(c) = -c - 1. Determine 8*h(z) - t(z).\nAnswer: -4*z - 84","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 13*t = 20*t - 36, -3*v - 3*t + 24 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 + 29*o**2 - 30*o - 1. Let g be v(-30). Let x be 518\/98 + (-4 - g). Solve 0*j + 12\/7*j**3 + 0 - x*j**4 + 4\/7*j**2 = 0 for j.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451, -439, -417, -379, -319, -231, -109?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2. Let y be (2\/4)\/(1\/4). Let f be 14\/6 - y\/(-3). Let j(i) be the first derivative of i**2\/2 - 3*i + 2. Calculate f*r(w) + 2*j(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/60 and 17\/210.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - h**2 - h. Let x(d) = 3*d**3 - 3*d**2 - 2*d - 1. Suppose 5060*r - 5070*r = 10. What is r*x(m) + 2*z(m)?\nAnswer: -m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 9 + 5 + 76*j**2 to i*j**2 + r + h*j and give i.\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -347554 (base 9) to base 3\nAnswer: -101121121211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 945819 (base 14) in base 5?\nAnswer: 2240300031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 38, 3, -32, -67?\n\"Answer: -35*h + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16422950*g**3 + 31811957*g.\nAnswer: 98537700*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2. Let d(z) = 2*z - 79. Determine d(u(c)).\nAnswer: -2*c**2 - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.6 and -1516.\nAnswer: -8489.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 3. Let j(o) = 28*o**2 + 42*o + 126. Determine 5*j(q) - 210*s(q).\nAnswer: 140*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34686?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**38\/j)\/j)\/j**(-28))**(-9) assuming j is positive.\nAnswer: j**(-576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 + 0*x**2 - x**2 + (-2 + 2 + 2)*(0*x + 0*x + 2*x**2) - 2*x + 6 - 171*x**2 + 339*x**2 - 170*x**2 as o + h*x**2 + z*x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, p: 11}. Give prob of picking 3 p and 1 g.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-21001)\/374 + (-2)\/(-11). Let l = 56 + x. Which is bigger: l or 0?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -3) + -1 + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 121, 278, 403, 478, 485, 406, 223?\n\"Answer: -3*k**3 + 2*k**2 + 172*k - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2\/29, -73, 0.4, 6\/11 in increasing order.\nAnswer: -73, 2\/29, 0.4, 6\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -341 - -345. What is the fourth smallest value in 0, 1, s, -0.6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50454 is divided by 1363?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2*d = n - 4, -3 = -3*d. Let a(i) = 2*i**2 - 2*i - 2. Let o(y) = 6*y**2 - 7*y - 7. Let b(g) = n*o(g) - 7*a(g). Let u(t) = t. What is u(b(f))?\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 2*g - 12. Let z be p(-8). Let s be 2*3\/z*-5. Solve o**4 + 0*o**3 - o**2 - s*o**5 + 1\/2*o + 0 = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3203284 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17484 + -2 + (36 - 18) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - 1) + (-4332)\/1805*(-10)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2\/4 + 15805939*q\/4 - 3951485 = 0. Calculate q.\nAnswer: -15805940, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of 14*q**3\/3 - 5*q + 3. Let u(a) = 22*a. Calculate u(c(j)).\nAnswer: 616*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 13*c. Give y(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 121 = 71 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001601676768 rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(190)\/((1*sqrt(70) + sqrt(70))\/sqrt(7)) + (sqrt(19) - (sqrt(684) + -2)**2 - sqrt(19))*-3).\nAnswer: -6192 + 429*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18678 - 3?\nAnswer: 18675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3780 and 1638?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5304 and 8398?\nAnswer: 100776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + (-12 - (-4 + -4)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2)*(-5*g**5 - g**5 + 8*g**5) + (-1 - 2*g + 1)*(-6*g**4 - 6*g**4 + 5*g**4).\nAnswer: 10*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1998 and 48.\nAnswer: 15984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 - 26153*i + 0*i**2 + 26153*i.\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -2*c - 5, -2*u = -5*c + 8 - 35. Let g = -1.55 + 2.55. What is the third smallest value in g, 4\/7, -8, c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 - 1 = -4*z. Suppose z*v = -o + 6, -2*o - 3*v + 20 = -v. Suppose 16 = n - o. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**2\/3 + 2*l - 7\/3 = 0. Calculate l.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/4 + 1\/2. Suppose -g*p + 48 = 3*p. Let b be 29996 + 1\/(2\/p). What is b rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1067.1 + -1067. Which is the closest to l? (a) 5 (b) 1 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 3:22 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 154537030?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/4, -0.247, 2\/63, -5?\nAnswer: -0.247","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4123550 is divided by 4862.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2) + -7 - 3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = -97*a + 104*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1814 (b) 0.699 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*i**2 - i**2 + 4 - 4 + 7*i to the form k*i**2 + q + z*i and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*a**2 + 6*a**3 + a**3 - 2*a**2 as d*a**3 + r*a + g*a**2 + c and give d.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*c - 3*r = 611*c - 7, -2*c - 5*r + 33 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*c - 15*c - 12*c + 2.\nAnswer: 12*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00419616 to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + cab5202?\nAnswer: cab51e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**2 - 2*w**2 + w**2 - 2*w**4 - 2 as n*w**3 + m*w**2 + x*w**4 + a*w + i and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 11 + -91 - ((8 + -1 - -4) + -4).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of 14*p**3\/3 + 21*p**2\/2 - 3*p - 597. What is x(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 26*i - 14. Does 32 divide c(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 6*t + 25 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1377 - 1375. Let i be (4 - 88\/20)*-10. Which is the nearest to o? (a) i (b) -1\/3 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86.52 * -32\nAnswer: -2768.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 4 = 0, 2*v + 810182 - 810233 = -y for y.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 4*o = 0. Suppose -g - 4*n + 112 = 3*g, -5*g - 2*n + 131 = o. What is the remainder when 74 is divided by g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146 + 875528*r + 147 - 293.\nAnswer: 875528*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1659, -191, -1, 5 in increasing order.\nAnswer: -1659, -191, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2832 and 94990?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 8 - 2 = 2*n, -5*x - 2*n = -38. Let m be -1 - -3*2\/(-6). Let y be 0\/(-1) - (-18 - m). What is the highest common factor of y and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1675090359?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*j**4 + 2*j**2 - 8*j**2 - 2*j**2 wrt j.\nAnswer: -144*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18 or 111715.3?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3514714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9158.796ns?\nAnswer: 0.009158796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 59.45?\nAnswer: 29.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 262834129 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48741 = 1809*w + 57990 for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6006*w + 37260 + 54758 = -7070 - 33044 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6120 = -0*q + 8*q. Suppose -p = 4*p - q. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*l**3 + 110*l + 615*l - 37*l**3.\nAnswer: 127*l**3 + 725*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c + 1. Let a be p(-7). Let h = a + -11. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 10:27 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 53 - 157\/3. Let s = -3565 + 3566. What is the nearest to s in -1.25, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -9*v**2 + 123*v + 20. Give c(14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 9 + 29*g**2 + 164*g - 6 + 13 as v*g + c*g**2 + d and give v.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68985 = 4*y - 5*n, 4*y - 358*n - 68955 = -359*n. What is the thousands digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2793 and 4161?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322*y - 10 = -320*y - 4*a, y + 5 = 2*a + 2*a for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 83 - (32 + 1 + -74 + 44).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 5 + 3)*(18782*u - 37576*u + 18786*u + 651*u**2) as q*u + p*u**2 + a and give q.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.48, 0.3, 103?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 106\/4348575 and -46\/231.\nAnswer: 4348575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15.2, 4, -0.5?\nAnswer: -15.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cadcaaccd. Give prob of picking 2 a and 1 d.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - -17. Let h = u + 11. Calculate the least common multiple of (4\/(-6))\/(h\/36) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -128*(-3 - (-30)\/12). Suppose 0 = -l*z + 55*z + 1395. List the prime factors of z.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4)\/(t**(-1\/2)\/t))\/(t\/(t\/t**(-3\/5)*t)*t*t**(-15)))**(-37) assuming t is positive.\nAnswer: t**(-12839\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 6:46 PM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -430 (base 5) in base 10?\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -700, -681, -648, -595, -516, -405?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 16 = -2*y, -4*r + y + 3 + 15 = 0. Let v = 14 - 7. What is the remainder when v is divided by (6\/r)\/((-1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*r - 1610 = 27*r. Suppose -22 = 13*a - r. Solve 64*l - 60*l = -a for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/3 - (91\/(-21) - -3). Suppose 4*m = 3*r - 114, -r + 0*r + a*m + 38 = 0. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 592\/28 + 4 + -19 - 6.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 545 and -30801?\nAnswer: -16786545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3054075975?\nAnswer: 3, 5, 53, 85369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -789*f**3*j + 322*f**3 + 2*f**2*j - 3*f*j - 3*f wrt j?\nAnswer: -789*f**3 + 2*f**2 - 3*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11536 - 1363?\nAnswer: -13232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17024 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*j + 404 = 0, -2*h + j - 3 = -164. Suppose -4*a + h = -110. Is 12 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5011.277938 to the nearest ten.\nAnswer: 5010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v - 41. Let t be n(-8). Which is the nearest to -4? (a) -0.1 (b) t (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -225*r + 7016. List the prime factors of j(-52).\nAnswer: 2, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33449847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 177 + -715\/4. Let v = f - -29\/12. Factor -2\/3*j + 4\/3*j**2 - 4\/3*j**4 + 0*j**3 + 0 + v*j**5.\nAnswer: 2*j*(j - 1)**3*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10412.\nAnswer: 2, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 742 is divided by 62?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -823 = -l + 513. What are the prime factors of l?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -2*t - 14479, 3409 - 500 = f + 4*t. What are the prime factors of f?\nAnswer: 2897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -4403896, -4403878, -4403860?\n\"Answer: 18*s - 4403914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 942872259?\nAnswer: 3, 7, 181, 35437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**2*n**2 - 3*l**2*n + l**2 - 2*l*n**3 - 2*l*n**2 + 43*n**2 + 1550 wrt n.\nAnswer: 2*l**2 - 12*l*n - 4*l + 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(13\/2)*a)**(2\/11)*(a*a**(-1\/13)\/a*a)**(-23) assuming a is positive.\nAnswer: a**(-2815\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62\/5 - 243\/20. Let v = 19.6 + -20. What is the closest to 0.2 in v, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5690*u**2 - 17821*u**2 + 1681*u**2 + 2733*u**2.\nAnswer: -19097*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*p = 8, 508*p - 12 = 5*w + 510*p for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -24749, -24605, -24461, -24317, -24173?\n\"Answer: 144*g - 24893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -702*q**3 - 4*q**2 + 283*q + 2. Let j(l) = 6*l**3 - 2*l**2 + l + 1. Let z(a) = -i(a) + 2*j(a). What is the second derivative of z(f) wrt f?\nAnswer: 4284*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + x**2. Let k(s) = -2*s**3 - 9*s**2 + 2*s. Let b(z) = k(z) + 5*t(z). Suppose 203*v - 180 = 226. Give b(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 + -4.05. Let s = -1.3 + 0.3. Let y = -8 - -9. What is the closest to y in w, -0.2, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 less than -2880?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) -4\/245 (c) -152 (d) -0.04 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -198, -438, -716, -1032?\n\"Answer: -19*o**2 - 183*o + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*o + 32. Calculate the greatest common factor of o and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1046\/9 - -116. Let m be 34 - 39 - -2*2. Let v be m + -3 + 6 - (-2 + 1). Sort v, c, -2, 2 in decreasing order.\nAnswer: v, 2, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cd when two letters picked without replacement from {d: 3, b: 1, z: 4, a: 1, c: 1, x: 2}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -23837163247 - -0.5?\nAnswer: -23837163246.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*l = -40*l - 12. Let s be 5 - ((-6978)\/22 - l\/33). Calculate the highest common factor of 28 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + y + 2*y - 75 = 0, 5*y - 114 = -3*f. What are the prime factors of f?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203880 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58465*a**2 + 24698?\nAnswer: -116930*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2800 and 304?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 599391 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from fffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ayvcaavvvavyv. Give prob of sequence yaa.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 0 - 5\/24*g**4 + 0*g + 5*g**2 + 0*g**3. Is t(-2) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3.022. What is a rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -4 - 7*u**2 - 1 - 1 + u**3 + 3*u + u**2. Suppose 8 = 6*o - 22. Give r(o).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/1980 and 76\/207.\nAnswer: 45540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 1041*n + 6163. Is k(34) a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(5) - (1*sqrt(5) + 0) - (-4*(-1 + sqrt(5)))**2).\nAnswer: -97 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 877482043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 + 6b?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f = -26 - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*b - 6 + 12 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*b + 3*x, -35 = 5*b - 144*x + 140*x for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 15. Let q(u) = u**3 - 7*u + 9. Let l(r) = -r**3 + 5*r - 6. What is h*q(f) - 7*l(f)?\nAnswer: 2*f**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8938177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49602933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**2 - 20*c - 10. Suppose 0 = -5*h + 5*m - 8*m + 47, -5*h = 4*m - 46. Determine r(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z + 8. What is the remainder when h(-9) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.47474 millilitres in litres?\nAnswer: 0.08047474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2 - 6*z - 6. Let d be g(4). Let p be -2 - (-3 - (d + -1)). Suppose p*c + c = f + 13, 0 = 3*f + 5*c - 31. Solve -3*i + 2*i = f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 390.81+-6301710\nAnswer: -6301319.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/65703 and 64\/429.\nAnswer: 854139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 162, 85, 12, -51, -98, -123, -120?\n\"Answer: m**3 - 4*m**2 - 72*m + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 18*m + 128 = 0. What is the remainder when 72 is divided by (m\/(-16) - (-236)\/8) + -3?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -342 or -344?\nAnswer: -344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 3. Let r = n + -1. Let o = -0.999 - r. Round o to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/7, -130, 1, 4\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/346615 and -3\/20.\nAnswer: 1386460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 26\/5 of a microgram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/7)\/(2078\/7273). Find g, given that 16\/7 - 15\/7*g - 1\/7*g**l = 0.\nAnswer: -16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-123)\/(-82))\/(4\/(-96)*(-8)\/(-4))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -374639, 1\/3, -4, 0.5, 2 in decreasing order.\nAnswer: 4, 2, 0.5, 1\/3, -4, -374639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -95 + 127. Suppose 0 = -5*t + 48 + 17. What is the remainder when f is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 4 + -6 + -10 + -2.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -59*v**5\/60 + 2*v**2 - 7*v. Let s(d) be the first derivative of -d**2 + 2. Calculate s(o(h)).\nAnswer: 118*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 1. Let l(d) = -d**2 - d - 1. Let m(i) = l(i) + y(i). Let r(t) = -57*t. Calculate r(m(x)).\nAnswer: 57*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 367*g**4 + 139*g**4 - 730*g**3 - 2*g**2 + 5*g**2 + 731*g**3 as i*g**4 + u*g**3 + v*g**2 + j*g + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 369 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1252077130 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*u = 13*u - 125 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1290 - -1340. What is the lowest common multiple of 60 and d?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 271227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12292*m**2 - m + 375895 wrt m?\nAnswer: -24584*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 at most as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4857*m + 248574 = -115701 for m.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 11:32 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 7*n**2 + n - 11. Let c be q(7). Let b be 5 - (-40)\/c - -20. What is the remainder when 73 is divided by 12\/(-3) - (-4 + 0 - b)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 660180.\nAnswer: 2, 3, 5, 11003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 - 44.\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1695\/4 + 418. Find the common denominator of -169\/30 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**3 - 64*s**2 - 940*s - 2600.\nAnswer: 4*(s - 26)*(s + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8357.494 - 8349. Let f = -8.7 + b. What is f rounded to 2 decimal places?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1689 - 1675. Sort -5, w, 3, 71 in ascending order.\nAnswer: -5, 3, w, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -870, -3385, -7576, -13443?\n\"Answer: -838*r**2 - r - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(300) + sqrt(12) - (sqrt(132)*-4)\/sqrt(11))\/(-6*sqrt(600)*-1*5).\nAnswer: -sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18287 + 18286. Which is the third smallest value? (a) -9\/8 (b) t (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/5210 and 19\/7470.\nAnswer: 3891870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 w, and 1 x when three letters picked without replacement from {j: 2, x: 4, g: 4, w: 1, o: 2, q: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5132436 and 46155.\nAnswer: 25662180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6258 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -4*s**2 - 13*s. Let p(x) = -5*x**2 + 3*x + 6. Let o(k) = 9*k**2 - 6*k - 11. Let y(d) = 6*o(d) + 11*p(d). Let q(z) = -2*f(z) + 9*y(z). Factor q(u).\nAnswer: -u*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5 = 0, -4*p = 3*n + 2*n - 15. Suppose -5*x + 160 = -4*v - v, 0 = 3*v + p*x + 136. Let t = 64 + v. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of c**3\/3 + c. Let h(j) be the second derivative of -j**3\/6 - 2*j. Determine v(h(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -677*w + 1792*w - 36183 = -975*w + 62047 for w.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - 12. List the prime factors of (1*74)\/(6\/d).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**10\/((c*c\/(c*c**(-1\/50))*c*c)\/c)*c**(1\/3)\/c**(-7\/6) assuming c is positive.\nAnswer: c**(237\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/9451018 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -13*z**6\/30 + 3*z**3\/2 + 2*z. Find the second derivative of m(i) wrt i.\nAnswer: -156*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 177230?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 bigger than -10240\/3027?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -309574 (base 10) to base 7\nAnswer: -2426356","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.344 - -2.344. What is the nearest to 1\/3 in -0.15, t, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5*-4*(0 + (-1*sqrt(8))\/sqrt(4) + sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 692991 is divided by 381?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14614452, -29228904, -43843356?\nAnswer: -58457808","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 25465964523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3391 + -3314. Which is the second biggest value? (a) 1\/7 (b) -1 (c) -3 (d) r (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -10*s. Let x(d) be the first derivative of 17*d**2\/2 + 8*d + 1149. Calculate k(x(f)).\nAnswer: -170*f - 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1916, 4209, 8026, 13367, 20232, 28621, 38534?\n\"Answer: 762*p**2 + 7*p + 1147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a + -5a14765?\nAnswer: -5a14784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 - -1. Is (-8)\/j + (-3286)\/(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.151 - -3.919. Let z = 0.07 - u. Let w(f) = f**3 - 10*f**2 - 15*f + 49. Let j be w(11). Which is the nearest to -1? (a) 2\/3 (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (7 - (-44)\/(-6)) + (-14)\/(-6). Suppose s + 6 = 2*x, 2 + 4 = -o*x - 2*s. Solve -l - x = -0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - z + 4 = 0, -13*a + 1 = -8*a + 3*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40230986*w**3 - 16782254 wrt w?\nAnswer: 120692958*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36938771?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 11*i - 8, 32*t = 15*i - 13*i + 31*t + 19 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = 2*l - 3*v, -4*l - 260 = 5*v - 81. Let p = l + 118. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 b, and 1 n when three letters picked without replacement from {n: 5, i: 3, w: 2, b: 2}?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21800503863 - -0.66.\nAnswer: 21800503863.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**2 - 51455*n - 617178. Give a(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -546*n**3 - 221*n**2. Let f(c) = -32*c**3 - 13*c**2. Determine -52*f(q) + 3*l(q).\nAnswer: 26*q**3 + 13*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -280 - -280.3. Let f = 5 - 3. What is the biggest value in y, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -685066\/7 and -97867 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*y**3 + 1257*y**2 - 1257*y**2.\nAnswer: -213*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.2 + -10.9. Let y = m + -7. Which is the second biggest value? (a) y (b) 0.05 (c) 5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) -3 (c) -0.12 (d) -2\/47\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 0*n**2 + 2*n**2)*(2 + 0 - 3 + (-4 - 2 + 4)*(2 - 4 + 1) - 1 + 1 + 2 - 3 + 0 + 1 + 1 + 1 - 5)*(6 - 3 + 12).\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*y - 2*y - 4*y)*(1 + 0 + 1) + (0*y + 2*y + 0*y)*(4 - 13 - 13))*(-y**4 + 4*y**4 - 5*y**4).\nAnswer: 96*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*c**6 - 9*c**6 + 2 - 2 + 3*c**2 wrt c?\nAnswer: -1080*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19828 + 36291. Is m 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 77238129?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 108\/(-144)*8432\/(-186).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 4*l - 43 + 19, -2*z = 5*l - 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1071.12878 to 1 dp.\nAnswer: -1071.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence infl when four letters picked without replacement from {n: 1, l: 1, f: 1, k: 1, i: 1}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -20. Let y be a\/12 - (-22)\/8. Solve y*k + 3 = 5*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2981*j + 1574*j**2 - 1491*j - 1490*j as n*j + p*j**2 + s and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1358200 to the nearest 10000.\nAnswer: -1360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9156686 divided by -35354\nAnswer: -259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -32864*p + 3220670. Give s(98).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/330 and -59\/180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of -19*q**7\/210 - q**6\/60 - 113*q**5\/60 - 45*q**2. Find the third derivative of y(a) wrt a.\nAnswer: -456*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 273 + -270. Let r be 1*(-4)\/(-18)*3. Sort r, o, -1\/2 in descending order.\nAnswer: o, r, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133358.\nAnswer: 2, 131, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z + 5*z - 3*z + (-5 - 2 + 3)*(-2*z - 3*z + 3*z) + 1 - 1 - z + z - 1 + 1 + (4 - 3 + 0)*(3*z - z + 0*z).\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 2*h**2 + 4*h**2 - 2*h**2. Let y(u) = 21*u - 8*u + 4*u. Give y(n(q)).\nAnswer: -17*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4840399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2327129 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4152 and 1.0232?\nAnswer: 1.4384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9, 70, 167, 318, 541, 854, 1275, 1822?\n\"Answer: 3*m**3 + 40*m - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4 = -1. Let y be (-36)\/(-15) - (l - 52\/20). Suppose -3*s - y*p - p + 168 = 0, -p = -5*s + 250. Is s a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60997085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1087?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 700\/8*(4 - 2). Let c = -104 + l. Let z = c + -28. List the prime factors of z.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -187 - -284. What is the remainder when 474 is divided by p?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 34. Let a = -14 - y. Let q(t) = t + 3*t - 1 - 3*t. Calculate q(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2\/23121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-20))\/(15\/(-6)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*o - 39*o - 22052 = -4*u, 0 = 4*u - 3*o - 22017. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/9*(-3)\/9. Suppose 0 = -5*q + 15, 0*g + 5*g - 4*q - 3 = y. Solve g*d = 2*z - 5, 2*d = 5*z - 2*z - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*0.85.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*g**3 - 3*g**3 - 2*g + 2*g.\nAnswer: 5*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 22 - 58 = 0. Suppose -3 = 4*t - 11. Suppose r = 2*r - t. What is the lowest common multiple of q and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 + 4 - 9) + -3 - -11\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 30*o**3 - 39*o**2 + 5*o. Let q(h) = 90*h**3 - 116*h**2 + 14*h. Let u(d) = 14*m(d) - 5*q(d). Find the third derivative of u(p) wrt p.\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -7*p - 0*p. Solve p = -3*m + m - 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792724*q + 15 = 792729*q + 5*r, -r = 5*q + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*d + 6 - 30. Suppose -4*v + 198 = -3*v + j, d*j = -3*v + 598. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93432080057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 89179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 13. Suppose 0 = -10*b - 559 + 609. What are the prime factors of 202 - (0\/b)\/k?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*((-39)\/26)\/(3\/5). Suppose 0 = 5*c + 3*y - 330, -3*c - 15*y + 198 = -s*y. What is the remainder when 183 is divided by c?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5 + (sqrt(357)\/(sqrt(28)*4 + sqrt(7)))\/((sqrt(144)\/(sqrt(8) + sqrt(32)\/sqrt(4)))\/sqrt(6))).\nAnswer: -25 - 10*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.3 - -2.7. What is the nearest to 2 in 1\/4, -1\/19, r?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + d**2 + d + 1. Let r(s) be the first derivative of -s**4\/2 + 8*s**3\/3 - 3*s**2\/2 - 4*s + 17. Let k(p) = 3*f(p) - r(p). Determine k(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 12*a**2 + 1128*a - 58170. Calculate s(37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48428858 - 73*n - 17*n - 48428859.\nAnswer: -90*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 18, 31, 38, 45, 58, 83, 126, 193?\n\"Answer: u**3 - 9*u**2 + 33*u - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -108, 3\/7, 18, 4\/7, -28\/23, 0?\nAnswer: -108","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 14. Suppose 0*l = -r*l + 12. Solve -c - l = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v. Let r(h) = -h**2 + 6*h - 18. Let t(j) = -r(j) - 6*z(j). Calculate the remainder when 69 is divided by t(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -29.\nAnswer: 14\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(-1))*p)\/p**7)\/((p\/p**(-16\/7))\/(p**(-15)*p)) assuming p is positive.\nAnswer: p**(-156\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(28\/(-28))*(-16)\/(-10)?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, q: 2, v: 1, d: 1}. What is prob of sequence vq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(28)\/(sqrt(20)\/sqrt(5))*2 + -5.\nAnswer: -5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -66 - 5*u**2 - 71 - 4*u**2 - 60 + 184. Let l(t) = t**2. Determine l(v(q)).\nAnswer: 81*q**4 + 234*q**2 + 169","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/(-8) + (-292)\/(-16). Let u(w) = -w + 1. Let h be u(-1). Suppose 3*y + 52 = 4*a, -5 - n = -h*a + y. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000106 to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*d = -13*d - 1 + 1. Let s(v) = -1 + 2*v**3 + v - 2 - v**3. Calculate s(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, -2\/3, -74, 1 in increasing order.\nAnswer: -74, -3, -2\/3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 167137288*l**4 + 92513282 wrt l?\nAnswer: 668549152*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -126 + (58 - -153) - 211\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 270, 293, 316?\nAnswer: 339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -26.9?\nAnswer: -26.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 - 1 - 5231*n**3 - 2*n - 7*n**4 + 5229*n**3 to the form w*n + x*n**2 + a*n**3 + f + p*n**4 and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.6 and 0.1570469.\nAnswer: -1.4429531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x + 5*f + 12, 5*f = -3*x + 8*f - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -187 - -109. Let j = -82 - c. Let l(t) = 2*t - 2. Give l(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 5352.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32319*a - 20013 = 31924*a + 4872 for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**3 - 4*p**2 - 20*p + 17. Does 6 divide g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = w + 1610, 25*v - 6415 = 21*v - w. What is the hundreds digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -150 - -210. Calculate the smallest common multiple of g and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 15*j + 24 = 0. Solve 4*t + 5*m + j = -3, 4*m + 16 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-333060)\/741)\/35 - -13.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 102, -14, -2, 80.976?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 79 + 81 = 541 for o.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 2*d + 9. Let q be f(5). Let m be (-8)\/6*18\/q. Which is the smallest value? (a) m (b) 3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2094766 is divided by 6406?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*r = -160*r + 120. Suppose 3*d - 5*c = r, 3*c + 3 = 2*c. Solve -d*t + 4*t + 3 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyqy when four letters picked without replacement from qyqqyqqqqqqqqqyyqqqq.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7800 = 2*c, -17*k = -13*k + 3*c - 7802. What are the prime factors of k?\nAnswer: 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*p**2 - 11*p + 37*p - 16*p.\nAnswer: -17*p**2 + 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 - 20. Let t(q) be the third derivative of 0*q**4 + 1\/525*q**7 + 0*q**6 + 0 + 1\/15*q**h + 0*q - 1\/75*q**5 + 2*q**2. Factor t(p).\nAnswer: 2*(p - 1)**2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = 3*m + 292. Solve -d - 2*c - 1 = 0, m*d - 2*c = -3*d - 5 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 28*j + 18 = -22*j, -7*j + 23 = -g + 3*j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 83 + -79.65. Let r = p + -2.45. Put -1, -3\/5, r in increasing order.\nAnswer: -1, -3\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*v - 2*v = -21, 4*v = 20. Suppose 8*n + 82 - 98 = 0. Suppose -q - 13 = x + n*q, -c*x + 9 = -q. What is the smallest common multiple of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -1 + 2 + 2 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 313727 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337*l - g - 37 = 138*l, -g = -3*l + 46 - 9 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = -0*p - 4*p. Let u = p - -26. Calculate the remainder when 37 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.679 + -88.321. What is the closest to 1 in 0.2, m, 0.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35860 - 35837. Suppose 0 = w - 2 - 1. Solve w = 10*t + b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 6*o**2 + 79*o - 404. Determine s(5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -292, -276, -250, -214, -168, -112?\n\"Answer: 5*c**2 + c - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -4*l, -s = -5*l + 3*l - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 11, 16, 39, 92?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1797 (base 11) to base 6.\nAnswer: 14324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1533 + -0.0533. What is the nearest to r in -0.77, -0.1, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 3*h**2 + 3. Let c(k) = -k**2 + 5*k + 6. Let i be c(7). Let p = -5 - i. Give a(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 171*u**4 + 386*u**4 + 4*u + 2*u**3 - 134*u**4 - 3*u to z*u + s + i*u**2 + p*u**3 + o*u**4 and give o.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110 (base 3) to base 15.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z*z**(-2\/61)*z))\/z**(-5)*z**10*z**10 assuming z is positive.\nAnswer: z**(1466\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-78 + 10 - 1358)*(2*y + 0*y - 3*y)*(2 - 2*y - 6*y + 3*y).\nAnswer: -7130*y**2 + 2852*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.199737 + -2.0527273. Let q = -0.147 + t. Round q to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**4\/12 - 2*n**3 - 24*n**2 - 5. Give b(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10 + -490?\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - (2 - 2))*3. Let g = s + 8. Suppose 2*l + 30 = g*l. Calculate the highest common factor of l and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*l**3 - 2 + 38*l - 21*l - 32*l wrt l?\nAnswer: -564*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4899 - -4886. Let d(z) = -11*z**2 + 15*z + 26. Let u(y) = -5*y**2 + 7*y + 13. Give j*u(s) + 6*d(s).\nAnswer: -s**2 - s - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -4. Does 19 divide (j\/(-10))\/((-1)\/102)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-31)\/((-4185)\/2248815) - (-2)\/18 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -2*c**3 + c**2 + 2*c - 37. Let f(i) = -6*i + 19 + 9*i - 13 - 7*i + 13*i**2 - 11. Give -2*f(q) - 5*u(q).\nAnswer: 4*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 0*b + 63. Let l(x) = -3*x + 37. Let p be l(-11). Suppose 0 = 3*o - 17*o + p. What is the least common multiple of o and b?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + 148\/(-24))*(20\/(-25))\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from rbgrbrxrgbbbbb.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 64.27993876 - 64.28. Round h to six dps.\nAnswer: -0.000061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 5174476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43555 - -43560. Solve 5*s + 3*j = 7 + 11, 20 = 5*s + b*j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*2*sqrt(704))**2 - (1*sqrt(495))\/(sqrt(5) - sqrt(15)\/sqrt(48)).\nAnswer: 188*sqrt(11) + 25348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*i + 849*i + 579*i - 250*i.\nAnswer: 1017*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 0.4 (c) -0.262 (d) -2 (e) -0.2 (f) 8 (g) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 799 and 578.\nAnswer: 27166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -41. Let s(k) = k - 8 - q - k + 3*k. Calculate the remainder when s(6) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 642634 and 15674.\nAnswer: 642634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 145021517 at least as big as 145021519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.952 - -0.9519963729. What is r rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/((-1131)\/29 - -40)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q + 18*q - 20*q = 0. Factor -2\/3*n**3 + 1\/3*n**5 + 0 + 1\/3*n + 0*n**4 + q*n**2.\nAnswer: n*(n - 1)**2*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and 3.15349.\nAnswer: 7.15349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -23. What is the smallest common multiple of 2 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Suppose n = 5*s - 0*s - p - 11, -s - 2*p = 0. Factor -6*y**s - y**3 + 3*y**3 - 29*y**3.\nAnswer: -3*y**2*(9*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 224 = 13*u - 31, -724*r + 725*r = 2*u - 43 for r.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 3*o**2 + 2*o - 3. Calculate the remainder when 146 is divided by d(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83919.7 rounded to the nearest 100?\nAnswer: -83900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 - (-884)\/(-78)*3\/(-2). Sort 0, k, 2, -2.\nAnswer: -2, 0, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(77)*-4 + (3*(sqrt(77)*1 + sqrt(77)) - sqrt(77)))\/((sqrt(55) - -2*sqrt(220))\/(2*sqrt(10)\/sqrt(2))))**2*5.\nAnswer: 1372\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/11*j**5 + 0 - 2*j**3 - 6\/11*j**2 + 20\/11*j + 6\/11*j**4 = 0. Calculate j.\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 530 = 1955. Let y = -277 + v. Put -2, y, 4 in decreasing order.\nAnswer: y, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**4 + 2*g**2 - 11*g**2 + 2*g**4 + 4*g**2 - 2*g to the form m*g**3 + c*g**4 + q*g**2 + u + v*g and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -18*o. Let x(c) = -8*c + 1548. Calculate a(x(t)).\nAnswer: 144*t - 27864","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -34, -44, -54, -64, -74?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 138\/7 + 26\/91. Suppose 4*m + 6 = p. Calculate the greatest common divisor of m and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 338*k - 1057*k**2 - 1752*k - 15*k**2 - 302*k - 655*k wrt k.\nAnswer: -2144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 39.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 6) + (1 - 3 - -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004838636261 to six decimal places.\nAnswer: -0.004839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 311422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12532656.54968815 - 7918022.8496876. Let d = 4614634 - x. Let f = d + -0.3. Round f to seven decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -1228801*u**4\/12 + u**3 - 5*u**2\/2 - 2*u + 21. Let x be m(5). Round x to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 3\/7, -2, 619, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.142412 times 22?\nAnswer: 3.133064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 11*f**2 + 12*f - 15. Let g be z(10). Let k be -2*(0 + (-15)\/6). What is the second derivative of a + a - a**k - 3*a**g + a**5 wrt a?\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16293, -14, -4, 9, 4, -2\/7, -5 in decreasing order.\nAnswer: 16293, 9, 4, -2\/7, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -31056.\nAnswer: 1\/10352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 148481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 19.77+-0.1\nAnswer: 19.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1081\/4 + 277. Let u = -22 - -83. Let k = 67 - u. Is z less than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 269, 541, 813, 1085, 1357, 1629?\n\"Answer: 272*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -34260 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 16*l**3 - 140*l + 48*l**2 + 13*l**3 + 5*l**3 - 68*l.\nAnswer: 2*l**3 + 48*l**2 - 208*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of 7\/12*u**4 + 0 + 5\/6*u**3 - 1\/105*u**7 + 0*u**6 + 0*u - 9*u**2 + 0*u**5. Differentiate f(q) with respect to q.\nAnswer: -8*q**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33)\/264 - 66\/(-16). Let o(k) = -4*k**2 - 20*k + 3. Let a be o(-5). Sort 0, a, y, -3.\nAnswer: -3, 0, a, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10 + -96. Let t = r - -121. Suppose 0 = -36*x + t*x + 149. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1100 (base 2) to base 16\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 669, 675, 691, 723, 777, 859, 975, 1131?\n\"Answer: b**3 - b**2 + 2*b + 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -22.9704. Let y = -0.03223 + l. Round y to 4 dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/27)\/l)**(-26\/9)*((l\/(l\/(l**0\/l*l))*l)\/l)**(-42) assuming l is positive.\nAnswer: l**(650\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 2737\/(-24) - 3\/(-10)*735\/5292?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/7846 and -31\/9.\nAnswer: 70614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f\/(f*f**(1\/11)*f)*f*f)\/(f**(1\/23)\/f))\/(f**(-25\/4)*f**(-5\/11)))**(-2\/23) assuming f is positive.\nAnswer: f**(-9685\/11638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349591.\nAnswer: 11, 61, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.2 or 44251?\nAnswer: 44251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29, 56, 83, 110?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-46)\/6 + 3)*-3. Let c = q - 14. Suppose 0 = -c*r + 2*r - 78. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jbnjaa. Give prob of sequence nb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p - 4*p + p)*(-3*p - 3*p + 11*p) + (1 - 1 + 3*p)*(-p - 3 + 3) to m + v*p + w*p**2 and give w.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 109566*s**3 + 169833?\nAnswer: 328698*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3*f*f*(f*f*f*f**(-3))\/f*f**(-3\/5)\/f*f*f**(-2\/11)*f*f)\/((f\/(((f*f\/(f\/(f**8\/f)))\/f)\/f))\/f**6*f\/((f*f**(-6))\/f)*f*f**(7\/5)) assuming f is positive.\nAnswer: f**(75\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-10)\/(-36)*(-6003)\/180. Let b = -434 - -3826\/9. Let d = b - q. Which is smaller: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 677503589 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116 divided by 16824.\nAnswer: 29\/4206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 73 - 57. Let l = -12 + m. What is the first derivative of -2 - l*c**4 + 21*c**4 - c**4 + 17 wrt c?\nAnswer: 64*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**2. Let i be c(-1). Let v be (1 + i)*-1 + 3. Solve 0*z + v*n = 3*z - 1, 0 = z - 3*n - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k - k + 51 = 0. Suppose 150*o - 143*o - 28 = 0. Solve o = n + k*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 693687675?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13423 + -13399. Calculate the greatest common divisor of m and 6444.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s + 935 = -124*s for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -0.2, 4, -234.2931, 0 in increasing order.\nAnswer: -234.2931, -0.2, 0, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/40*(8 - (-603)\/(-81))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -11*u + 24. Let p be (-2)\/(-4) + 14\/4. Let m be 19\/7 - p\/(-14). Solve 7 = 4*d + c, -u*d - 2*c = m*d - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (75911*d + 17 - 75911*d - 11*d**2)*(-2*d**2 - 3*d + 3*d) in the form u*d**4 + l + g*d**3 + w*d + y*d**2 and give y.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 80*r + 697. Give w(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1122213756?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1802452 is divided by 287.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 30286304569 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 7*d - 3. Let i(z) = -5*z**2 + 11*z + 4. Let f be i(3). Give b(f).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -164*p. Let q(j) = j - 112. Give q(f(c)).\nAnswer: -164*c - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kzmmk. Give prob of sequence mmz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -241\/40 + 32\/5. Which is the nearest to 0.1? (a) z (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + sqrt(171) + sqrt(171) + -5 + 3)*-1)**2.\nAnswer: -36*sqrt(19) + 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 8640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 + 6*v - 14. Let n(d) = -d**2. Let i(c) = 3*n(c) - q(c). Let h be i(-7). What is the second derivative of 107 + 11*w**3 + h*w - 107 wrt w?\nAnswer: 66*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -76 in increasing order.\nAnswer: -76, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-31)\/(-186) - 12\/(-9). Factor 1\/2*z**4 + 2 - 3\/2*z**3 - 5\/2*z**2 + l*z.\nAnswer: (z - 4)*(z - 1)*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m + 6*m + 2773*m**2 - 9*m.\nAnswer: 2773*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 981?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 3*h + 2*h - 3*q, 3*q = -2*h + 23. Suppose 4*k - 7 - h = 0. Sort k, -4, 1 in descending order.\nAnswer: k, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -5*i**3 + 10*i**2 - 13*i - 14. Let u(r) = 2*r**3 - 3*r**2 + 4*r + 5. Let z(n) = -3*l(n) - 8*u(n). Let p be z(-7). Solve -p = f - 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18834620 + 51?\nAnswer: -18834558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1267073 and 987?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293 = u - j, j - 4*j + 277 = u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/7218 and 5\/1604?\nAnswer: 14436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-126)\/(210\/10))\/((-30)\/(-8)) and 34\/677.\nAnswer: 3385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*a**2 + 102*a**2 - 70*a**2 + 51*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2 - 4. Let q = 2 + a. Solve 0*l = -o + l, 0 = o + q*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 25 = -5*h + p, -3 = 2*h - 3*p. Let r be h*(-6)\/(108\/(-15)). Which is greater: 3 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -3.25.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 14. Let s be u(-10). Let d be (3\/9)\/(s\/(-12)). Which is the smallest value? (a) 0 (b) d (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.031032 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.9 - 9384.\nAnswer: -9375.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2519745.\nAnswer: 3, 5, 173, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 74569 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(72)\/(sqrt(6) + sqrt(24)))\/(-2*sqrt(600)))**2 + (sqrt(8)\/sqrt(4) + 1 + (sqrt(192)\/sqrt(6))**2)*-5.\nAnswer: -287999\/1800 - 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15345032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qkkkq. Give prob of picking 2 q.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/14)*v*v\/v**(2\/9)*v*v)\/(v**(-5)\/v*v\/(v**2*v)))\/(v\/(v\/((v*v\/v**(-1\/4))\/v))*v**12)**(-4\/5) assuming v is positive.\nAnswer: v**(14143\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - h - 10. Suppose 0*v + v - 4 = -4*r, -4*v + 1 = r. What is x(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7086 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: -1798\/31783 or -1?\nAnswer: -1798\/31783","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -4)*(-3)\/(-10). Let j = -348 - -12. Let q = j - -336.4. Which is the third biggest value? (a) w (b) 0.2 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 18*x**2 + 39*x + 85. Give u(15).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 9*1*22\/99\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172975302.\nAnswer: 2, 3, 223, 43093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -65846776.\nAnswer: -329233880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1943795455?\nAnswer: 5, 7, 73, 251, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 71 or 0.301487?\nAnswer: 0.301487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -157 + 1101\/7. Let r(i) = -i**2 - 44*i - 444. Let n be r(-16). Let u be ((-1)\/(-6))\/(1\/(-2)). Which is the biggest value? (a) n (b) o (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*7\/(-3)*(-28)\/(280\/30).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4893\/11570 - 53\/2314. Let w = 138 + -968\/7. What is the fourth smallest value in q, -0.42, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -3, -1.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1093 - -80e1?\nAnswer: 704e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5, -13, -49, -103?\nAnswer: -175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 n when three letters picked without replacement from {b: 2, n: 1, j: 2, c: 2, f: 1, p: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 5*p - 26376, 5*p = -w + 6*w - 131970. Suppose -s - 3*s - 4*k - 105588 = 0, s + 3*k = -w. Round s to the nearest one thousand.\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-152 - -148) + 22\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 38.43477 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t - 3*t. Let d(o) = -35*o + 405. Let w be d(11). Suppose t*q + 5*q = w. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2387 divided by 17.\nAnswer: -2387\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 14663376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-3 - 1)) + 15 + -12 - 22.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 0)\/(3\/12). Let d(i) = 266*i**2 - 2*i - 8. Let v be d(y). Round v to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 0.01, 4\/9, 0 in decreasing order.\nAnswer: 4\/9, 0.01, 0, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*i**3*n - 252*i**2*n - 3*i*n - 8*i + 9*n + 5 wrt i.\nAnswer: -42*i*n - 504*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*l + 128 = 0, 2*t + 6*l - 128 = 5*l. Suppose -t = 6*r - 10*r. Suppose 13*z = r*z - 54. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -26, -0.2, -3\/2, 2\/19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 5704597 divided by -191\nAnswer: -29867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/5649 - -37726\/186417. What is the common denominator of -47\/27 and d?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55943 and 4042.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -50*d + 73. Let c be z(1). Solve -5*x = -2*s + c, -3*s + 4*x = x - 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 59, 77, 105, 149, 215, 309, 437, 605?\n\"Answer: p**3 - p**2 + 14*p + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 2*f**2 + 4*f + 2.\nAnswer: -2*(f - 1)*(f + 1)*(2*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z - 8. List the prime factors of b(6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/11, -2\/157, 5 in increasing order.\nAnswer: -2\/157, 2\/11, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23.2 - 23. Which is the nearest to -2\/3? (a) z (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * -191\nAnswer: 38.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 30*z**2 - 52*z + 72. What is v(-32)?\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2519 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2152133389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11 and 77.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222 - 100010201222?\nAnswer: -100010202221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -18, -100, -212, -336, -454, -548, -600?\n\"Answer: 3*c**3 - 33*c**2 - 4*c + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.35 - -0.15. Which is the third biggest value? (a) p (b) -10 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24\/(-10) + (-6)\/(-15). Let g(l) = -7*l + 1. Let z(i) = 36*i - 6. Let v(c) = k*z(c) - 11*g(c). Is 8 a factor of v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 v when three letters picked without replacement from {u: 3, n: 3, v: 1, g: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -667107, -1334204, -2001293, -2668374, -3335447?\nAnswer: -4002512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3 + 26568*a**2 - 176145408*a - 4242806784 = 0.\nAnswer: -24, 13296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-10) + 156\/30. Suppose 1 = -2*o - f*j - 3, 0 = -2*o - 2*j + 2. Let b be o\/(-2 - (-6)\/2). Solve -b*n + 19 = 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4c1ebc (base 16) in base 4?\nAnswer: -103001322330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93775773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from memeemee?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3127786056 to the power of 1\/5, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1567239 rounded to four dps?\nAnswer: -0.1567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n. Let q(b) be the third derivative of 2*b**4\/3 - 34*b**2. Determine o(q(m)).\nAnswer: 80*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 9:29 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 7*r**2 + r + 13. Let p be q(-7). Let n(v) = 6 + 3*v**2 - p*v - 4 + v + 2*v. Let s = 5 + -3. Give n(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 6:59 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -38c92 (base 13) to base 3\nAnswer: -12100120221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -450807 divided by 150269?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 2)*(-2 - 5 + 0)*((3 - 3 + 1)*(5*s - 4*s + s) + 2*s - 2 + 2 + 0*s - 3*s + 5*s - s - 20 + 20 - 2*s - s + 9*s) to n + f*s and give f.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.5 and 1.\nAnswer: -4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-52)\/(-16) + (-1)\/4. Suppose 3*a = 5*k + 46, 4*a = k + 2*k + 32. Let h = k - -18. Put h, 2, o in increasing order.\nAnswer: 2, o, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 690 divide 1005330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13288 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, 831, 4, 34, 1 in increasing order.\nAnswer: -4, -3, 1, 4, 34, 831","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-12)*((-1132)\/80 + 14)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -74. What is the remainder when 53 is divided by v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 719.999995955 - 720. Round j to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*r = -76*r - 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 7 + 23. Let g be (9 - -6)*(-3)\/(-5). Let o be 0 - 12\/g - 52\/(-12). Sort o, k, 0.\nAnswer: k, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5985 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 + 2 - 11 = 8*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4)*(10 + 0). Let q be (-5)\/1*(-6)\/r. Let n = q + 30. Calculate the greatest common factor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 607096350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/8 (b) -0.1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate p**4 - 525*p**2 + 43*p + 123017.\nAnswer: 4*p**3 - 1050*p + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*l - 5*n + 126, 4*l + 3*n - 28*n - 78 = -6*n for l.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -4*b + 5*b + 3*b. Let s(m) be the second derivative of -7*m**3\/6 - 1148*m. What is s(w(u))?\nAnswer: -28*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + sqrt(65)\/sqrt(5)*4 + 2 + (sqrt(13) - (sqrt(13) + sqrt(13)*-1)) - (((sqrt(637) - (sqrt(637) - sqrt(637)*1))**2 - sqrt(117)\/(2*sqrt(9))) + 1).\nAnswer: -636 + 13*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2997 is divided by ((-112)\/10 + -4)\/(4 - (-88)\/(-20)).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 407 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + (-5)\/5)\/(-1). Let t = 558 - 563. Put 11, 3, h, t in increasing order.\nAnswer: t, h, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mejeeeejbmmeeemmjm. Give prob of picking 1 j, 2 m, and 1 b.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -585, -886, -1389, -2094, -3001?\nAnswer: -4110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 7. Factor -5*y**5 + 4*y**r - 4*y**4 - 5*y**3 - 4*y**2 - y**3 - y + 0*y.\nAnswer: -y*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((v\/(v\/((v**(1\/6)\/v*v)\/v)))\/v)\/v**3)\/((v*v*v\/v**(-1\/8))\/v**(3\/2)))**(3\/31) assuming v is positive.\nAnswer: v**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 9*d**2 + 10*d + 4. Calculate t(-7).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-1*(-14)\/(-7)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.8 - 6. Let g = a - -0.1. Let v = -2.10000065 - g. What is v rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12026326?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.05871\nAnswer: -0.17613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/6)\/(-4 - (-626)\/156). Let r = u - -125. Let y = r + -34. Let j(f) = f + 11. Calculate j(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/(-6)*(-9 + 255\/25). Let g be (-2)\/4*u\/(-6)*24. Solve g*s = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1630\/37, -5, -101, -3 in decreasing order.\nAnswer: -3, -5, -1630\/37, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 6 = 2*c, 5*j + 50*c = 49*c + 15. Suppose 4*m + m = -j*d + 60, 5*m - 50 = -d. What is the greatest common factor of 207 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -1\/132218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, d: 1}. Give prob of sequence pd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 2*s + 12. Let m be i(-6). Let b(p) = 2*p**2 + 9*p - 8. Let l be b(-7). What is the highest common divisor of l and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*n**4*p - 2*n**2*p**2 - 18*n*p**2 - n*p - p**2 wrt n?\nAnswer: -36*n**2*p - 4*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/2612 and 29\/1997527.\nAnswer: 7990108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*o + 47*o - 76*o)*(3 - 3 - o).\nAnswer: 49*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 432507, 864575, 1296643, 1728711, 2160779?\n\"Answer: 432068*q + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21.8 - -18. Let v = c - -4. Let u = 2.05 - 0.05. Which is bigger: u or v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/6*(-4 + 4). Suppose -2*y - 4 = -0*y. Is u greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gbbbbbbgb. What is prob of sequence bg?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 19008.0258 to the nearest 100.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(-12)*(-30)\/4. Let m be -5 + (-3 - (y + -2)). Sort 4, m, 12, -5 in descending order.\nAnswer: 12, 4, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -3*t - 696, -3*i + 661 = t + 3*t. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 581181914 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -5 (b) 4630\/9 (c) -17 (d) -3\/7 (e) -0.3 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2. Let y(t) = 1407*t. Give p(y(r)).\nAnswer: 1979649*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2833, -2915, -3013, -3133, -3281?\nAnswer: -3463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -7*h + 9*h. Let m be (-19)\/228*(-1 - (0 + h)). Let v = 0.3 + -1.3. Which is the third smallest value? (a) -4\/7 (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**3 + 4*p**2 - 2*p + 3. Let k be f(3). Let i be ((-7)\/k)\/(4\/408). What is the greatest common factor of i and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p - 5. Let d(y) = -1. Let j = -8 - -8. Suppose j = 3*q - 6 + 9. Calculate q*z(t) + 4*d(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 2*v**2 + 6*v + 4. Let h(b) = 3*b**3 + 3*b**2 + 13*b + 8. Let r(g) = -2*h(g) + 5*p(g). Let c be r(5). Is -1\/5 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 2*r**2 + 4*r + 6. What is the remainder when 11 is divided by t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/6 (b) 3\/2 (c) 538394 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 314 and 14915.\nAnswer: 29830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1*-2)\/(8\/(-20)). Suppose 4*h + 10 + 10 = 4*u, -h - y = u. Suppose u = t, q - t - 9 = 7. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 0\/3 - -1. Calculate the highest common divisor of 40 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 4*y**2 - 4*y - 1. Let h be a(-2). Solve 0 = -5*o - 2 - h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31527 + 44156. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13997100 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -139044 times 40\nAnswer: -5561760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2155 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5*o**2 - 63*o - 11. Does 13 divide s(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 940562098 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 3*m**2 + 2*m - 1. Let p(g) = 3*g + 11. Let l be p(-5). Let u be d(l). Solve 2*q + 5 = u*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 330861 is divided by 688?\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 4*s**2. Let o be l(-4). Let d = -1 + 9. Factor -16*z + 8 + o*z**3 + d*z**3 - 7*z**2 + 17*z**2 - 10*z**3.\nAnswer: -2*(z - 2)**2*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33153972?\nAnswer: 2, 3, 73, 37847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/8*(2 + -2)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 161 is divided by 131.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 3. Let q be v(2). Let r = -4 + q. Let w be (r + -22)*(-4000)\/(-1). Round w to the nearest 10000.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*l**2 - 9 - 122*l + 303*l**2 - 167*l**2 to the form b + m*l + n*l**2 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2277 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**7\/840 + v**6\/20 - 3*v**5\/16 + 11*v**4\/48 - 54*v**2 - 2*v. Factor o(t).\nAnswer: -t*(t - 22)*(t - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 + 23. Let c = 2922 + -2919. What is the second biggest value in o, -2\/7, c?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 79?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.0016 * -0.08\nAnswer: 0.000128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jmud when four letters picked without replacement from {d: 2, m: 1, u: 3, j: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1704419 is divided by 340?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 1, f: 1, q: 2, t: 3, d: 3}. Give prob of picking 1 t and 2 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 8*l - 5. What is v(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4583 or 224564\/49?\nAnswer: 224564\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 97187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-1 + (49 - 43).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 - 98*q + 57. Let s be ((0 - -3) + -51)\/((-69)\/46). Calculate p(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 214*c - 28 = 215*c, 3*j + c + 18 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + u + 11*u**2 - 15*u**2 - u.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -871720\/163 - -5348. Which is smaller: r or 1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13416 or -12751?\nAnswer: -12751","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 - 19. Let f be ((-8)\/10)\/((-4)\/10). Suppose n - b = -f*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10125 - -1417559\/140. Let d = -3\/20 - k. Put 2, -0.5, d in increasing order.\nAnswer: d, -0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4*(1*sqrt(130) + sqrt(130)) + sqrt(130))\/(2*sqrt(20)\/sqrt(2))*-3.\nAnswer: -21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*k = 31, -v - 3*k + 8 = -2*k. Suppose -2*h + 5*h - 18 = 0. What is the remainder when v is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 10615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610 = 5*v + 5*u, 3*v + v - 473 = u. Let g = v - 597\/5. Which is the third biggest value? (a) g (b) -0.2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -12 + 2\/9*d**2 - 106\/9*d = 0.\nAnswer: -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94753*t - 191105*t + 96358*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3032416023.\nAnswer: 3, 7, 13, 11107751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -220860.2.\nAnswer: -110430.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*a = 2*b + 14, -4*b - a = 0. Let k be 2 - (-2 - -4*b)*-1. Suppose -k*q = -10 + 2. Which is bigger: 30\/13 or q?\nAnswer: 30\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -6419, 2\/13, 2\/23, 3\/8 in decreasing order.\nAnswer: 2, 3\/8, 2\/13, 2\/23, -6419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -15915*n**2. Let q(x) = -1601*x. Determine u(q(p)).\nAnswer: -40793343915*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2067085.\nAnswer: 5, 413417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -301 + 551\/2. Which is smaller: -26 or y?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 2*c**2 - c + 4. What is i(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -594910195 + 594910195 - 476*j.\nAnswer: -476*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/6))**(-5\/9)*o**(-2)*o**12 assuming o is positive.\nAnswer: o**(535\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of 87*c**8\/16 + 443*c**5\/12 - 20*c**2 - 62*c. Find the third derivative of x(v) wrt v.\nAnswer: 109620*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/2)\/(330\/(-20)))\/(46\/(-69)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 12 + 1 + (1 - -2) + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*i + 62369 + 92375 = 1796*i + 986*i for i.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-64)*144\/(-20). Sort 2\/7, g, -1, 3.\nAnswer: -1, 2\/7, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 12:34 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 778541181106 and -0.5.\nAnswer: 778541181105.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -6. Let t(p) be the second derivative of -2\/3*p**3 - 1 + 1\/20*p**5 + 3\/2*p**2 - 5\/12*p**4 - 51*p. Determine t(c).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 159 + 357. Calculate the highest common divisor of v and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-10))\/((-60)\/(-100)). Let z(y) = 3*y - 6*y + b*y - 2*y. Let m(j) = 16*j. Determine z(m(o)).\nAnswer: -48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 - (25 + (-39 + 2 - -3)).\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4*u + 6. Let w(p) = 25*p - 3 + 12 - 22 - 22. Let g(t) = 6*t - 9. Let l(z) = 9*g(z) - 2*w(z). Let d(f) = f - 3. Give u*l(r) - 22*d(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 30 - 0. Let f(s) = 2*s**2 + 4*s + 3. Let h be f(-2). Suppose -51 = -x*b + h*n - 5, -3*b + 39 = 2*n. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - n - 1. Let c(t) = 10*t**2 + 7*t + 6. What is -c(x) - 6*m(x)?\nAnswer: -4*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 4 = -y. Let q(f) be the third derivative of f**4\/12 - f**3\/2 + f**2. Let v be q(y). Solve -1 = o + v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 3*q**2 - 7*q + 2. Let v be (-5 - (-2 - 5))\/((-2)\/(-6)). Suppose 0 = v*l - 11*l - 3*a, 15 = -3*a. Let f be (l\/(-9))\/((-3)\/(-45)). What is k(f)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 157838.6, 1\/5, 23, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + (-28)\/(-12))\/(1\/39). Calculate the greatest common divisor of 52 and j.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j**2 + 0 - 5389*j + 5389*j - 8*j**2 + 0.\nAnswer: -31*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296 = -7*j - 254 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 1:40 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in six fifths of a gram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, z: 4, g: 2}. Give prob of sequence gg.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*(11 + -47). Suppose 0 = -3*w - 5*f + 61, -4*w + 106*f + 58 = 101*f. Which is smaller: h or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 PM and 2:31 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010000110 + 10?\nAnswer: 100010001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(121) - (1*sqrt(121) + sqrt(121))) + sqrt(121))\/sqrt(11) - -4*(-2 + sqrt(11)*1).\nAnswer: -8 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -28, 8, -32, -4 in decreasing order.\nAnswer: 8, -4, -5, -28, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -98 divided by 4496?\nAnswer: -49\/2248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7644, -7641, -7628, -7599, -7548, -7469?\nAnswer: -7356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**8\/(h\/((h**(3\/4)\/h)\/h))*h**7*h*h**(-1))**10)**48 assuming h is positive.\nAnswer: h**6120","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 23939 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: Multiply -0.1345 and 439.44.\nAnswer: -59.10468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1402090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 5, -1, -544?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/72*(-153)\/(-357)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 47395226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -9 - 1) + (-168 - (-274 + 136)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 18. Suppose -f + 3*q - 23 = -3*f, 0 = 2*f + 4*q - 28. Let s(n) = 3*n + 0*n - f*n. Give s(d(r)).\nAnswer: r**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + z + 11. Let g be l(-5). Let c be 2\/(-10) - g\/20. Solve c*s + 3*m = s + 1, 2*m = -5*s - 8 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -24*g**5\/5 + 64233*g**4\/5 - 42667806*g**3\/5 - 414774087*g**2\/5 - 250732728*g - 1125476976\/5 = 0?\nAnswer: -4, -13\/8, 1343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1669?\nAnswer: 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -26, -14, 12, 58, 130?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - c = -m - 15, -3*c = 4*m - 6. Suppose -7 = d + 3*q, q - c*q = -2*d + 19. Suppose 0 = d*z + 3*w - 2 - 32, 58 = 4*z + w. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -226884.\nAnswer: 1\/226884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 23*u**3 - u**4 - 17 - 3*u**2 - 55*u**3 + 19 as f*u + p*u**3 + r + x*u**4 + m*u**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 7:17 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004814 rounded to five decimal places?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -364*f**4 + 263994*f**2 + 166*f - 15552.\nAnswer: -4368*f**2 + 527988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (96*t - 168*t + 83*t + 3*t**2)*(-1 + 1 - 2*t) in the form p*t**3 + j*t + r*t**2 + q and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1661*l - 26. Let k(n) = -1659*n + 31. Determine 5*k(v) + 6*u(v).\nAnswer: 1671*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 828050389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -201.9 - -13.9. Let r = 188.1 + w. What is the nearest to r in 1\/2, 4, 8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.6 - 1.58. Sort 0.3, a, 1 in increasing order.\nAnswer: a, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42827 - -24219. Is -1*t\/6 - (-9)\/(-27) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2858801\/2 at most -1429400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 2*a**3 + 2257*a**2 + 41057*a - 14437. What is z(-1110)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 648?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 42 and 176751.\nAnswer: 2474514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 6:12 PM?\nAnswer: 7:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 943204051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 168376560 to the power of 1\/2, to the nearest integer?\nAnswer: 12976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174812772 divided by 2.\nAnswer: 87406386","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 13*i**2 + 9*i - 337. List the prime factors of y(-32).\nAnswer: 3, 4229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8104*j**4 - 8112*j**4 - 22*j**3 - 12*j - j**5 - 24*j**2 + 3*j = 0 for j.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 36 - 1 = 5*c, 5*f + c = 15. Solve -2*a - f*k = -a - 15, -k = 3*a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1505)\/(-35))\/(-731)*-3*17.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, u: 5, c: 5}. What is prob of picking 2 u and 1 c?\nAnswer: 25\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 10:49 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y + 195*y - 10794 - 3152 = -1551 for y.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/9)\/(500\/(-375)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2755 - 5847. What is r rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1396?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -6, 2, -5 in decreasing order.\nAnswer: 2, -2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16423658089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2403 - 947 = -23*y + 812 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 60 = 17*h. Suppose h*i = -12 + 21. Let y(g) = 4666*g**3 + 4*g**2 - 7*g + 3. Let z be y(i). What is z rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 55*g**3 - 17*g**2 + 3*g + 3. Let h(b) = 280*b**3 - 84*b**2 + 14*b + 14. Determine 3*h(r) - 14*x(r).\nAnswer: 70*r**3 - 14*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of a**2 + 1 + 0*a**2 - 2 - 6*a - 3. Let o be (4\/3)\/(1\/3). Determine d(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18086 * 1.\nAnswer: 18086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2 + sqrt(1331) + 5*(-1 + sqrt(1331)) + 1 + 0)*2*-6)**2.\nAnswer: -38016*sqrt(11) + 6900480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.6 and -76728698051.\nAnswer: -76728698051.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 27603661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -5.3\nAnswer: 2.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 5*p**2 - 4*p + 5. Let x be w(-4). Suppose x*n - 7 = 3. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476503210 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -2*d**2 - 3*d + 1. Calculate u(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3\/2 + 2318403*r**2 + 9273618*r + 9273620 = 0. Calculate r.\nAnswer: -2, 4636810","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from whhohhhhwhhhhoh.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3228 - 76?\nAnswer: 3152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -9*(-2)\/3. Suppose -2*c + 19 = -5*r, 4*r = -c - 2*c - q. Suppose 0*d = -7*d + 7. What is the nearest to d in -0.5, -4, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or -2\/209?\nAnswer: -2\/209","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2280)\/1995)\/(50\/105)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/105367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (20\/325*-1)\/((-4)\/(-10))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.666931l in millilitres?\nAnswer: 666.931","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2381062425 a multiple of 3325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07 less than 4?\nAnswer: 2.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1 - -31264498.\nAnswer: 31264501.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*m - 15 = 0, -5*r + 0*r - 5*m + 35 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5072, -5071, -5070, -5069, -5068?\nAnswer: -5067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1844618, 1844624, 1844630?\n\"Answer: 6*i + 1844612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(304) + -1)**2.\nAnswer: 24*sqrt(19) + 2737","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 5:08 PM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2250 and 275?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 142, 185, 256, 355, 482?\nAnswer: 637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 200 - 415. Let u = a + 212. What is the third biggest value in 2.7, 0.3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -67681*p**3 - 292978.\nAnswer: -203043*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*y = 131*y. Put -3, -7, y in ascending order.\nAnswer: -7, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*l + 22 = 0, 0 = 2*k + l - 14 - 8. Suppose -19*b + k = -18*b. Calculate the remainder when b is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34, 29, 12, -23, -82?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 6*i + 36 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/9 + 1152860\/6. Suppose -186604 - f = 3*o. Let v = o - -219249. What is v rounded to the nearest ten thousand?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19152450 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 7*n**2. Let p(u) = 519087*u**2. Give p(i(o)).\nAnswer: 25435263*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4572761 - 13*k**3 - 4572761.\nAnswer: -13*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5109 - -5114. Solve 4*n + 8 = z*w, -n - 17 = 60*w - 65*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4992 is divided by 115.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 41198343 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 3*q + 2*q)*(q + q - 3 + 0*q).\nAnswer: -6*q**2 + 9*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2.6. Let t = 723.9224 - 724. Let p = t + -33.9224. Which is the second smallest value? (a) 1 (b) p (c) -0.5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20085.468 rounded to the nearest ten?\nAnswer: -20090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 5 - (4 + -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62253?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u\/((u**19*u)\/u))\/u))**(3\/5) assuming u is positive.\nAnswer: u**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 3055220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of u**3\/6 - u**2\/2 + u. Let x(r) = 3. Let c(d) = -1. Let p(q) = 4*c(q) + x(q). What is -2*p(s) + y(s)?\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.94 minus 17877150.61141?\nAnswer: -17877152.55141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 912 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10254*t + 10253*t - 8 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**3 - 3*h**2 - h - 1. Let q(b) = 4*b**3 - b**2 + 3*b + 3. What is q(m) + 3*r(m)?\nAnswer: -2*m**3 - 10*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**5 + 897*r**4\/4 + 22275*r**3\/4 + 181875*r**2\/4 - 46875*r\/4.\nAnswer: 3*r*(r + 25)**3*(4*r - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 6*c**3 + 13*c**2 + 17*c - 2. Let x(q) = q**3 + q - 1. Let w(p) = a(p) - 5*x(p). Let d be w(-12). Solve -1 = 5*b - d*m - m, -2*b - 4*m - 6 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59150?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 469 - 469 - 2198*d**2.\nAnswer: -2198*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36*o**3 - 920*o**2 + 176*o - 42409587?\nAnswer: 108*o**2 - 1840*o + 176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5977090 a multiple of 206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -94640 * 68\nAnswer: -6435520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaiatvaia. Give prob of picking 1 a and 1 x.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128932612.\nAnswer: 2, 109, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 3:29 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-20)*(-8)\/(-60).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4364 - 4364 + 2*w.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + 1.1. Sort -1, z, 0 in ascending order.\nAnswer: -1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10059 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (180\/144)\/(3\/(-72))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14052210 and 59185.\nAnswer: 98365470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 303590461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/4 - 80*g - 2289\/4 = 0. What is g?\nAnswer: -7, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**2 - 4*a**2 + 0*a**2 - 3*a)*(3*a**2 + 0*a**2 - 4*a**2 + (-6*a**2 - a**2 + 3*a**2)*(3 - 1 - 5)) + (4*a**4 - 2*a**4 - 4*a**4)*(1 - 5 + 3).\nAnswer: -20*a**4 - 33*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 2*b**3\/3 - 3*b**2\/2 + 3*b + 8. Suppose 5 = -5*w + 5*q, 0*q + 19 = -3*w - q. Let s(m) = -3*m + 3. Determine w*o(c) - 6*s(c).\nAnswer: -2*c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 13*k**2 - 14*k + 1. Let i be n(14). Suppose -2*f - 4*s = 4, 4*f - s - 11 - 8 = 0. Let p = 6 - f. Solve -l - 2*l + p*w = i, -2*w = l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -65945a61 - 0?\nAnswer: -65945a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8814 + -8814.5. Let m be (-7)\/(-3) + (-2 - 0). Let u = -26 - -30. Which is the nearest to u? (a) m (b) -4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/2*180\/(-150). Let x(u) = 4 - t*u - 4 + 6*u. Let y(n) = n**3 - 6*n**2 - n + 8. Let g be y(6). Give x(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 13) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 g, and 1 s when three letters picked without replacement from {s: 1, h: 1, u: 1, t: 1, g: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -73172 divided by -6\nAnswer: 36586\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - b**2 + 6*b**2 + 0 + 0 + 3*b**2 + (-3*b - 3*b + 4*b)*(-3*b + 2*b + 3*b) - 4*b**2 - 2*b**2 + 2*b**2.\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1572 and 457584.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52503719.\nAnswer: 71, 389, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + 2*y**3 + y**2 + (3 - 4 - 5 - 2*y)*(1 - 1 - y**2).\nAnswer: 4*y**3 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve m = 26 - 27 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -313 - -315. Suppose x - 174 = 2*t, 139 = 3*x - f*t - 403. Calculate the highest common factor of x and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) 2 (c) -4 (d) 0.1 (e) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 583828817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21734 divided by 35768.\nAnswer: -10867\/17884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7735083, -7735092, -7735101, -7735110, -7735119, -7735128?\nAnswer: -7735137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.2, -2\/3507 in descending order.\nAnswer: 0.5, 0.2, -2\/3507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*i + 10. Suppose 4*g + 155 = i*h, -33 = -5*h - 2*g + 152. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -73\/430 + 3\/43. What is the closest to -0.1 in f, -2\/7, 5\/3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 7*i + 3*i)*(-175*i - 335*i - 71*i).\nAnswer: 1743*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2754)*-1)\/(sqrt(200)*1))**2 - (sqrt(153)\/sqrt(9)*2 + sqrt(2057) + sqrt(2057) + sqrt(2057)*2)) + 1.\nAnswer: -46*sqrt(17) + 1477\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 1, 89, 344 in decreasing order.\nAnswer: 344, 89, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324*k - 96 = -330*k. Calculate the greatest common divisor of 1544 and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**5 + 65*a**4 + 550*a**3 + 500*a**2 - 2120*a - 3040 = 0.\nAnswer: -4, -2, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 3.02. Let i = -0.42 + s. Which is the third biggest value? (a) 2 (b) i (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20771851?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4914.05 rounded to the nearest one hundred?\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -440 - -442. Solve -4\/11*y**z + 2\/11 + 2\/11*y**4 + 0*y + 0*y**3 = 0 for y.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-35)\/(-21)*18\/5 and 612?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1605310 + 59446.727?\nAnswer: 1664756.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 277095.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.85943 months in years?\nAnswer: 9.9049525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide (-1672)\/242 + (-1)\/11 - -21665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*d + 362 = 166 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48916\/(-700) + (-30)\/250.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 5*k + 24 = -16, -4*c = -258*k + 255*k - 1 - 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495337797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6 - -34783251?\nAnswer: 34783257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2665?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/18)\/(14\/63). Suppose 2*u + v = 8, m*u = 4*v - 3*v + 12. Let t = 33 + -14. What is the remainder when t is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -12*n**3 - 3*n**2 - 4*n - 1. Let j(m) = -2*m**3 - 2*m**2 - m - 1. Calculate -f(a) + 2*j(a).\nAnswer: 8*a**3 - a**2 + 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 3. Suppose 0*j = -k*j + 21. Let v(d) = -j*d + d - 2*d. Let a(h) = 2*h**2. Determine v(a(w)).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (18 - 13)*(0 + 29). Let r = c - 143. Let t(w) be the third derivative of w**4\/6 + 2*w**3\/3 - w**2. Let o(s) = -9*s - 9. Determine r*o(i) + 5*t(i).\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -u + 2. Let l(a) = a**3 - a**2 - 3*a - 4. Let t(b) = -2*b**3 + b**2 + 5*b + 7. Let z(d) = -5*l(d) - 3*t(d). Calculate z(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7267008+0.009560456\nAnswer: -7267007.990439544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-17)\/(-15) - 532\/665)\/(1\/1056903) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7 - (-13130)\/(-1414)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 + d - 18. Let j be v(0). Let b be (j\/(-15))\/(4\/10). What is the highest common divisor of 6 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 54054 - 8216295\/152. What is the common denominator of r and 41?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m + 3. Let a be g(-1). Let t be 1\/(a\/30) + 0. What is the tens digit of (-884)\/(-39) - 2\/t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22b79 (base 15) to base 6.\nAnswer: 2211553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -4*d**2. Let f(p) be the first derivative of -3*p**2\/2 - 1. Let j(o) = -o**2 - 21*o. Let s = 28 - 31. Let r(g) = s*j(g) + 21*f(g). Calculate r(i(m)).\nAnswer: 48*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 2*o. Suppose 0 = -2*f - f + 6. Let y(i) = 0*i - f*i + 4*i - 4*i. What is y(j(l))?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, 76, 5, -4, -1\/5, 0.61?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -611, -2065, -4483, -7865, -12211, -17521?\n\"Answer: -482*f**2 - 8*f - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 6. Let q = 2 + z. Solve -5*i + 0*i + 5 = -m, -i = -4*m - q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 132\/(-8)*-4 - -3. Let y = 26 + u. List the prime factors of y.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*x - 229 - 265 = -94 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28439*m*v**2 - 2*m*v + 747*m + 10*v**2 - 2*v - 176 wrt v.\nAnswer: -56878*m + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 48\/16076425 and 29\/2236720.\nAnswer: 257222800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 5*r - 7, -r - 23 = -3*o - 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/4*20\/6. Let k(w) = 4*w**3 - 2*w**2 + 5. Let y(u) = -5*u**3 + 2*u**2 - 6. Let s(m) = l*y(m) + 6*k(m). Find the third derivative of s(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -12. Solve -4 = r*x - 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -2, -8, -21, 4 in decreasing order.\nAnswer: 8, 4, -2, -8, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 8 = -3*i. Let j be 0\/i*(-2)\/4. Suppose -k + j*k = 4. Which is smaller: -3 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a**2. Let h(p) = p - 8. Let s(r) = -18*r + 48. Let q(b) = -6*h(b) - s(b). What is j(q(v))?\nAnswer: -864*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 3871?\nAnswer: 3871.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2531 is divided by (-6)\/9*(690\/(-40) - 12\/16)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-8) + 11\/(-2). Let x be 21*1*(-4)\/h. Let w = -4 + x. Is 5 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205429444.1 - -2?\nAnswer: 205429446.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6347 (base 10) to base 3\nAnswer: 22201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s - 10 = 0. Let h = 952 + -947. Solve s*a - 2*o = 4, a - 5 - 13 = h*o for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-3) + (-48824)\/(-204). Let i = d - -84. What is the remainder when i is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w + 106. Give p(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 389a9 (base 16) to base 8.\nAnswer: 704651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3211 + 5936. Suppose -q = 4*q + f. Let o = q - -371. Round o to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -245 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*x - 518046 = 400194. List the prime factors of x.\nAnswer: 2, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9583 = 2299*p + 76254 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 24 = -t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1427482368 - -0.67886.\nAnswer: -1427482367.32114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 6*w - 21 = 4*x, -3*w = 2*x + 11. Is w at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, i: 7, z: 2, u: 7}. What is prob of picking 1 z and 3 u?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 111.4 + -112.7.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 5 = 1. Let x = -1 + 3. What is the third derivative of 3*k**2 - f*k**x - 6*k + 6*k - 2*k**5 wrt k?\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14982415 divided by 7.\nAnswer: 2140345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856946 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 10*o**3 - 2*o**2 + o. Let g be 2 + -2 - 0 - 190. Let i = -186 - g. What is the remainder when x(1) is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 101 + 1 = 0. Suppose 5*o - 5*f = 40, -2*o = 3*o - f - h. Is ((152 - o)*-1)\/(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00329054151 to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 872*u = 873*u - 4*s, 5*s = -0 - 10 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3909 or -3931?\nAnswer: -3931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 10, a: 6}. What is prob of picking 2 j?\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -592169\/221028 - -613\/226. Calculate the common denominator of -113\/84 and n.\nAnswer: 13692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 274 - 83. Let n = w + -149. Suppose 2*s + n = -72. What is s rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)*k)**1*k*k**(4\/9)*k**(2\/13)\/k assuming k is positive.\nAnswer: k**(265\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 583492 and 1374?\nAnswer: 458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-66990)\/90)\/29*(-12)\/14?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - 1452?\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((84\/(14\/(-1)))\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*a**4 + a**3 + a**4 + 3*a**2 - 7*a**4 - 2*a - a as r*a**2 + j*a**4 + y + c*a**3 + b*a and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6552)\/26)\/(-21))\/(4\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 2 - 3 - 5*k)*(-5 + 2 + 2).\nAnswer: 5*k + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 - 45*j**2 + 127*j + 14. Let y be c(42). Put 0, -2, y, 4 in decreasing order.\nAnswer: y, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -7*w**3 - 11*w**2 + 11*w + 21. Let f(h) = -4*h**3 - 6*h**2 + 6*h + 11. Give -11*f(i) + 6*n(i).\nAnswer: 2*i**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 30 + -23 + 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.2720877 to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 584277106 a multiple of 5426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2410286 is divided by 1205123.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -276 - -285. Solve z - v = 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 2*x**2 - x - 39. Let r be f(5). Let z = r - -230. Calculate the remainder when 129 is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r, 1 t, and 1 h when four letters picked without replacement from hhhrhhhhhhrhhhthr?\nAnswer: 39\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.288 + 37.862. Round d to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 16, -3\/7, -3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/((s*s**(-1))\/s)))**6 assuming s is positive.\nAnswer: s**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 s when three letters picked without replacement from ystsytty.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 9*a. Let m be o(9). Suppose -2*v + 5*f = -189, m = 4*v + f - 214 - 175. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.027\nAnswer: 0.054","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3138?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 100 = 4*c, -2*d = -d + c + 21. Let z be (-140)\/d - 2\/(-8). Suppose 552 = 4*m + 4*y - z*y, y + 425 = 3*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 2\/2*(-5 + 42)?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*j - 66*j - 64*j - 96*j - 94*j + 353*j.\nAnswer: -107*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a second in milliseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 152247998 and 24353?\nAnswer: 3479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 110353 and 9284?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 8*r - 13. Let l be k(-9). Let a = 8 + l. What is the second derivative of -m - 4*m**4 + 4*m + 7*m**a wrt m?\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + (-6*(-1*sqrt(200) + sqrt(200) + sqrt(200) + sqrt(200) + sqrt(200)) - sqrt(200)) + sqrt(200)) - 2*(-4 + sqrt(200) + -1)*-2)**2.\nAnswer: -16000*sqrt(2) + 320400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) + (sqrt(1053) + -1)*-4)**2.\nAnswer: -216*sqrt(13) + 9493","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 14?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 134.3 + -135.661. Let b = -27.7 - -29. Let o = b + i. Round o to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 3*l - 3*l + (1 + 1 - 1)*(2*l - 4*l + 0*l) - 2*l + 5 - 5 + 5*l - 2*l - l + 4310 - 4310 + 1125*l as o + u*l and give u.\nAnswer: 1124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 507890, 1015746, 1523602, 2031458, 2539314?\n\"Answer: 507856*k + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*g + 7*g - 6*g)*(2*g - 2*g + g**2)*(4*g**2 - 6*g**2 + g**2).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 858 = 1138. What is the remainder when 209 is divided by g\/(-6) - (6 + 100\/(-15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.11 in 0, 0.2, -0.1, 0.1, -35?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*j = -36*j - 11*j + 150 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/5 - 132*s**2\/5 - 414*s\/5.\nAnswer: 2*s*(s - 69)*(s + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 0*f - 5*d = -295 + 331, 3 = -2*f - 5*d for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69960*g - 69972*g + 48 = 0. Let r(u) = -u**2 + 5*u + 6. Let q be r(6). Which is the third smallest value? (a) 0.07 (b) q (c) g (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(32\/44) - 6\/(-24). Let w be 0\/(-4*(-3)\/(-6)). Suppose 2*x = y*s + 72015, -2*x - 5*s + 71975 = -w*s. Round x to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 280 - 229. Put 5, -3, s in decreasing order.\nAnswer: s, 5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - p**2 + (0*p + p + 0*p)*(-3*p - 494 + 533 + 11*p) + 4*p**2 - 3*p**2 - 2*p**2)*(2*p**2 - 3*p**2 - p**2).\nAnswer: -12*p**4 - 78*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(720))**2*-2.\nAnswer: -5768 + 192*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 19 + -27 + 29 + -1. Let v(i) be the second derivative of g*i - 5\/12*i**4 + 3\/2*i**3 - 1\/20*i**5 + 0 + 1\/2*i**2. What is v(-6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2880))\/(sqrt(3) + -5*sqrt(6)\/sqrt(2) + sqrt(3)))\/((-6*2*sqrt(6))\/(sqrt(162)*-1 - sqrt(162))).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -5*z - 33. Let f(d) = -d**3 + 13*d**2 - 10*d + 3. Let s be f(z). Suppose -4*j + s = 5*x, 4*x - 101 = -0*j - 3*j. List the prime factors of j.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*k + 25 = 0, -36*k = -4*w - 40*k + 20. Let c(m) = -m**3 - m**2 + 4*m. Let y be c(-3). Solve -5*x - 2*i - y = w, 2*x + 2*x + 4*i = -12 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**11*n)*n*n**19)\/(n\/((n*n**8)\/n)*n\/n**7) assuming n is positive.\nAnswer: n**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 134145810 and -17824.\nAnswer: 134127986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/11 - 8*o**3\/11 + 15*o**2\/11 + 8*o\/11 - 16\/11 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 56*w - 18*w - 5791846. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853485 is divided by 56881?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53472 is divided by 1336?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 2*a - 3. Calculate the remainder when 369\/6 + (-6)\/20*-5 is divided by t(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - w = -0*w - 19, -2*w + 2 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 k when two letters picked without replacement from {s: 2, k: 1, u: 3, r: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q. Let b(o) = -o. Let c(t) = 5*b(t) + 2*z(t). Let w be c(4). Solve 8*l - w = 12*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 21 = -3*t. Suppose -b + 588 = -t*v + 2126, -2*v = b - 1017. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 2 b when four letters picked without replacement from {j: 2, q: 5, b: 3, m: 3}.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833116 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2.8. Let k = -30 - -28. What is the closest to 1 in g, -4, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 3*b - 15 = -c, 0 = -3*b + 15. Suppose -c = -5*w - 135. Is w*(18\/15 - 3) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -146 divided by 1\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1629 - 676. Let y = 2608 - k. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 359232*l**2 + 588359 wrt l?\nAnswer: 718464*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/12 and -67\/384?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39.65 - 40.15. Let j = 41 + -26. Let t = j + -10. Which is the smallest value? (a) o (b) -1 (c) t (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13132 - -4?\nAnswer: 13141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 4. Let t be d(-5). Let i = -0.2 + 0.21. Let l = -5.01 + i. Sort -2, l, t in decreasing order.\nAnswer: t, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48621 and 193631.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3064.8 + -3065. Which is the fourth biggest value? (a) 3 (b) 2 (c) -318 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1935\/1075)\/(6\/20) + -15\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 5*l**2 - 5*l - 3. Let h be o(6). Let j = 13 + 41. Let g be (j\/12)\/(2\/4). Solve -s = -h*b - 0*b - g, -4*b = -5*s + 1 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of q**4\/24 - 7*q**3\/6 + q**2. Let z(l) = -l + 9. Suppose -3*f = -2*h + 11, 0*h + 13 = 4*h + 3*f. Let g be z(h). Determine o(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09000005 + 0.09. Round r to seven decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -256 (base 8) to base 2\nAnswer: -10101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g*(g*g**(-5\/4)\/g*g)\/g*g*g)\/((((g**(2\/19)\/g)\/g)\/g)\/((g\/(g**(-2\/5)*g))\/g)) assuming g is positive.\nAnswer: g**(1537\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 18 - 13)*(-7*q + 4*q + 2*q)*(-2*q + 0*q + 3*q - 1) to the form n*q**2 + b*q + t and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1942208411 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.61 times 153482?\nAnswer: -554070.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 1 (c) -22 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes before 6:29 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -76*58\/2755*-15.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 169862 divided by 120?\nAnswer: 84931\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((4\/(-30))\/(128\/800)) + -10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2716 and 7712488.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m - 24. Let t(q) = q + 1. Let w(g) = 1. Let s(h) = -t(h) + 2*w(h). Let n(d) = -d + 2. Let c(i) = n(i) - 2*s(i). Determine k(c(j)).\nAnswer: j - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z + z - 2*z + 0*z - 3*z + 4*z + 0 - 2*z + 0 + (z - 3*z + z)*(3 - 1 + 0) to y*z + w and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w. Suppose 0 = 5*q - 0*q - 15. Suppose q*x - i = -4 + 13, 4*i = 3*x - 18. Let k(h) = h**2 + 0*h**2 + x*h**2 + h**2. Calculate k(n(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -9*t - 14. Let o(l) = -10*l - 13. Let a(f) = -5*o(f) + 6*x(f). Let g be a(-5). Is 11 a factor of (g + 12\/(-6))*(-122)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 108857013 to the nearest integer?\nAnswer: 10433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.06 (b) -0.23 (c) 1 (d) -86\/77\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 8*i. Let z(d) = d**3 + 28*d**2 + 28*d + 43. Suppose -144 = 5*a - 3*f, -5*f + 1 = a + 13. Let m be z(a). Let l(v) = -18*v + 6*v + m*v. Give u(l(k)).\nAnswer: 32*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4130 + 6434. Calculate the lowest common multiple of z and 64.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2 + 5*f. Give x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3656, 7311, 10966, 14621, 18276, 21931?\nAnswer: 25586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73481?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161146 divided by 409.\nAnswer: -394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00136192338 rounded to 6 dps?\nAnswer: -0.001362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 12:14 PM?\nAnswer: 2:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 16*v**2 + 27*v - 10. Let r be j(21). Suppose -r = -12*b - 194. Is b a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 166 = f + 233, -f - 415 = -v. Let q be (1761\/12)\/((-1)\/4). Let r = f - q. Is r a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25737?\nAnswer: 3, 23, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2 = r + o, 3*r + o = -4. Let t(y) = -y**2 + 15*y + 35. Let g be t(17). Let w(p) = 242*p**2 + g - 461*p**2 + 237*p**2. What is w(r)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + sqrt(720) + -5.\nAnswer: -6 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*14\/(-28))\/(1*2\/(-2308)). Solve j*p = 560*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/sqrt(36))\/sqrt(2) - sqrt(6)\/(sqrt(15)\/(sqrt(15)\/sqrt(3))).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 10*l**2 + 19*l + 14. Suppose 4*b - 84 = -3*o, -4*o + 12 = -4. Suppose y + 3*w + b = 0, y + 6 = -5*w - 16. Is x(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 102191089?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -567, -558, -527, -462, -351, -182, 57, 378?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from ifwwwpuufiff?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-870)\/66 + (-2)\/(-2). Let h = c - -1461\/110. Calculate the common denominator of h and -25\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of i**5\/30 + i**4\/8 + 9*i**2. Let m(v) be the first derivative of -v**3\/3 - v**2\/2 - 1. Determine 3*m(w) + q(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2*b)**(-46))**(-13) assuming b is positive.\nAnswer: b**1794","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2236 and 1976?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjsjjssjssjjjjjjjjj. What is prob of sequence sjj?\nAnswer: 35\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 + 2*v**2 + 4 + 4 + 2 - 2 + v**2 + 0*v**2 + 4*v**2 + 2*v**2 + (-2 + 1 + 0)*(0 + v**2 + 0) in the form i + r*v + f*v**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2 (c) -9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kski when four letters picked without replacement from siskisski.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -58 - -178\/3. Let s = -27299\/13 - -2100. What is the closest to -0.1 in s, 0.5, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1189187193?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -91489 to the nearest 1000.\nAnswer: -91000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5804964 to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29930219 to the nearest integer?\nAnswer: 5471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 1\/4751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 + 5*z**3 - 3*z**3)*(6*z + 3075 - 3075).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 3*a - 4*a)*(-1 + 1 - 1 + (49 - 29 + 30)*(-2 + 5 - 2))*(4*a - 2*a + 0*a).\nAnswer: -98*a**2 + 98*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1739 - 1074. Let w = l - 664. Suppose -4*h = 5*j - 25, 5 = 5*j - 4*j + 4*h. Which is the biggest value? (a) -0.5 (b) w (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -172, -277, -398, -541?\nAnswer: -712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.6 and 15.8.\nAnswer: -72.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 448 divided by -224\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -451 - 5150?\nAnswer: -5631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33725 + 180265 = -g + 86*g. Calculate the remainder when g is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r + 43 - 7. Suppose -a = -2*p + 2 + 4, -r = -5*a - 3*p. Solve -2*w - 6 = a, 5*g + 4*w = -w - 40 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.612 - 0.005518.\nAnswer: 2.606482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23079 and 254340.\nAnswer: 471","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 0*v**2 + 1\/3*v**3 + 0*v**5 + 59\/42*v**7 + 0*v**4 - 8 - v + 0*v**6. What is the second derivative of s(a) wrt a?\nAnswer: 1180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2797 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 14) to base 15\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 199*u**7\/210 - 116*u**5\/15 - 330*u**2. Find the third derivative of t(z) wrt z.\nAnswer: 4776*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/3 + 95747146*l + 287241436\/3.\nAnswer: 2*(l + 1)*(l + 143620718)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -4\/3*i**3 + 3*i**4 - 6*i**2 + 4*i + 8. Let u(h) = 0. What is h?\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + 1310354303?\nAnswer: 1310354264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -2\/5, 2, -1\/6, -0.436?\nAnswer: -0.436","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1352, -2346, -3302, -4202, -5028, -5762, -6386?\n\"Answer: 3*h**3 + h**2 - 1018*h - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in -2, 4, -0.5, -14\/3, 30?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63994 is divided by 31834?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 54*r = -6*w + 49*r - 140, -6*r = -6*w + 183 - 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 4:42 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-5 - -3) - -110. Suppose 28*t + m = 33*t. Suppose -5*k = -2 + t, 5*y - 13982 = -2*k. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 + -14. Let j be (-2 + 3 + (-21)\/6)*v. Solve 0 = z + z - j*x - 5, -3 = -2*z + 3*x for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 10168.742\nAnswer: -30506.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1083*m**3\/5 + 3365793*m**2\/5 + 2593073376*m\/5 - 34281152256\/5.\nAnswer: 3*(m - 13)*(19*m + 29648)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 - m**2 + 77*m + 175. Calculate the least common multiple of 6590 and g(-8).\nAnswer: 46130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 q when three letters picked without replacement from yiypqqqxyqqxxyxy?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u = -34*u + 102 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1233 + -374. Is t a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, k: 1}. Give prob of sequence ccc.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h + h + h. Let l(x) be the third derivative of 3*x**2 + 0*x**3 - 1\/12*x**4 + 0 + 0*x. Determine l(j(k)).\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 593 = -3*i - 2*v, 3*v + 2*v = i + 226. Let f = 360 + i. Is (f\/12)\/((-1)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**2 + 4*t**3 + 13*t + 3*t**4 - 16*t - t**3 to the form x*t**3 + r*t + y*t**4 + j*t**2 + h and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/(-5) + (-8)\/40. Let v = 2 - i. Solve v = -5*k - 2 - 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2.73 (b) 1\/4 (c) -1878 (d) -1 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.06 + 0.08. Let v = 0.04 - c. Let f = 0 - v. Sort -4, 5, f in descending order.\nAnswer: 5, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.71 and -166161.\nAnswer: -117974.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and -308.\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*i + 127*i - 5*i)*(0*i**4 - 4*i**4 + i**4).\nAnswer: -603*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02085508439 and 0.6?\nAnswer: 0.62085508439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 8*a**2 - 7*a + 1. Let i(m) = -5*m**2 + 4*m. Let z(l) = -4*f(l) - 7*i(l). Let h(c) = 4*c**2 - 5. Let p be (-2)\/(2\/(-5)*1). Calculate p*z(d) - 4*h(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*s**2 + 243*s**2 - 715*s**2 + 235*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45706596 and 36?\nAnswer: 137119788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5893200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*y - 10, -4*y + 8 = -3*t - 0. Suppose 44 = -y*h + 76. Solve h = 4*n - 4*a, a - 6*a = -3*n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1179\/5 - 447\/2. Let h = -17\/123 + 1405\/574. What is the common denominator of h and f?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(272) - sqrt(272)*4 - sqrt(272))*-5)**2 + 0.\nAnswer: -160*sqrt(17) + 108801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -98a (base 11) in base 12?\nAnswer: -82b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 26264.6?\nAnswer: -105058.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8297492?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 665 = 21*d - 14*d. Suppose 106*v = d*v + 5885. List the prime factors of v.\nAnswer: 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 3:22 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 743, 755, 771, 791, 815, 843, 875?\n\"Answer: 2*k**2 + 6*k + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 + 18 - 13).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4644a7 (base 12) to base 2.\nAnswer: -100010011001110111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 36*y + 6. Calculate p(3).\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4403338 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14, -3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 2*t**3 + 0 + t + 4 - t**2 in the form u + j*t**3 + n*t**2 + z*t and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -8, 0 = 4*k - 23*g + 18*g - 20 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 - 7*w - 2. What is the remainder when 76 is divided by f(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = -3*k, 12*k + 2*l = 4*k - 4. Solve k = -n - 41 + 46 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - 3*v**2 + 0*v)*(4*v - 3*v + v)*(-7 + 7 + 14*v) + 0*v**4 - 2*v**4 + 0*v**4 as p*v**3 + j*v**2 + m*v**4 + h*v + a and give m.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-489)\/(-1141)*(-14)\/(-3))\/(2\/10)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.027 + -0.337. Let b = t - 0.19. What is the third smallest value in 2\/7, b, -2\/7, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 7*u. What are the prime factors of (u - 9*-2) + 4?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + -0.35. Let n = 3.4 + m. Let x = 20 - 23. Which is the smallest value? (a) 0 (b) x (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-30) - 110\/(-12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*h - 47 - 4 = 0. Let g(y) = y**2 + 6*y + 0 - y - h*y - 1. Determine g(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tittit. What is prob of sequence tiit?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3115, -3442, -4333, -6070, -8935, -13210, -19177?\nAnswer: -27118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7006.68 rounded to the nearest ten?\nAnswer: -7010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7 - 3*i**4 + 136*i**3 - 136*i**3 wrt i.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/15 - -3*3\/15. Is (2942\/4)\/(s - (-2)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4505678 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5026921646 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*g**3*o**2 - 63*g**3 - 181*g**2*o**2 - g*o wrt o.\nAnswer: 4*g**3 - 362*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -6. Let q = 2.3 + 0.7. Let n = q - 2.6. What is the nearest to 2\/3 in n, 2, k?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*r, -4*r - 14 = -4*l + 18. Suppose -3*v + v + i + 28 = 0, 3*v = i + 40. Suppose 72 = l*h - v. Is h a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (14 + -5 + 1 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33 + 12407?\nAnswer: 1243a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1074 + -572. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16283316?\nAnswer: 2, 3, 7, 149, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6630*z**3 + z + 268?\nAnswer: 39780*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1015 - 916 - 16626\/168.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13055 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5*1)\/(23 - 22). Solve a*i = -0 + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 3*q - 10. Let p = 49 - 49.1. Put q, p, -0.04 in descending order.\nAnswer: q, -0.04, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2480)\/620 + 27\/4?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(78)\/(sqrt(30)\/sqrt(45)))**2.\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1192 is divided by 587?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -5, 421 in descending order.\nAnswer: 421, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 b when three letters picked without replacement from {e: 2, s: 1, b: 1, n: 2}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 996*u + 13 = 1001*u + a, -26 = -2*u - 3*a for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**3\/7 + 220*k**2\/7 - 2012*k + 106020\/7 = 0.\nAnswer: -95, 9, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15001.04nm in micrometers?\nAnswer: 15.00104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10089 - 10089. Let c(a) be the third derivative of 6*a**2 + 11\/60*a**5 + 0*a**4 + 0 - 11\/2*a**3 + w*a. Differentiate c(m) wrt m.\nAnswer: 22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 349066*m*u**2 + 87*m*u - 2*m - 215 wrt u.\nAnswer: 698132*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-264)\/(-64))\/((-3575)\/(-260))?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -40129 - -40129.036031. Round d to four decimal places.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -7*g**3 + 6*g**2 + 6*g - 11. Let q(i) = 7*i**3 - 5*i**2 - 5*i + 10. Let s(b) = -5*f(b) - 6*q(b). Differentiate s(t) wrt t.\nAnswer: -21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/184470 and 41\/127710.\nAnswer: 1660230","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 111*h - 104*h + 21 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/(j*j\/(j*j**39*j))))*j*j*j*j**(13\/2)*j*j*j**7*j*j\/j**(-3))**(10\/9) assuming j is positive.\nAnswer: j**(635\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(136) - (sqrt(136)*1 - sqrt(136))))\/(-3*(sqrt(8) - sqrt(32))))**2.\nAnswer: 17\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -346 + 356. Is -1*2 - (-5 - (v + 622)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34 + 34. Let r(v) be the first derivative of -4 + s*v - 2\/3*v**3 + 1\/3*v**2. Solve r(y) = 0 for y.\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 17*l**2 - l + 17. Calculate j(17).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**2 - 1\/20*z**5 + 1\/2*z**3 + 27*z + 0 + 1\/2*z**4. Calculate w(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705748873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*u + u + 110*u**2 - 39*u.\nAnswer: 110*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.000001 rounded to 3 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 3)*(14\/1 + (-103)\/((-19364)\/(-3525))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2081636?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 267*4\/(-528). Which is smaller: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233021332 (base 4) to base 10.\nAnswer: -193150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -h - 3*v, 0 = -5*h - 0*h + 5*v + 2 - 22 - 10 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, 5, -13, -43, -5 in decreasing order.\nAnswer: 32, 5, -5, -13, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1281 and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7075893437 to the power of 1\/2, to the nearest integer?\nAnswer: 84118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 4*f = -772 + 749, -5*g - 4*f + 25 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 (base 4) in base 8?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exk. Give prob of picking 1 k and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 782196?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 54976, 108797, 162618, 216439, 270260?\n\"Answer: 53821*f + 1155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6370952.\nAnswer: 2, 7, 29, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 228 = -3*n + 5*n, -2*n = 4*q - 228. Is n a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 676537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -112\/5 (b) -0.3 (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8*p + 217. Determine f(-26).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-4*(sqrt(280)*-3 - sqrt(280))\/sqrt(8))\/(1*((-2*sqrt(28) - sqrt(28)) + sqrt(7))))**2.\nAnswer: 261\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 4*m - 6. Let i(h) = 11*h - 17. Let w(f) = 6*i(f) - 17*n(f). Let t(l) = 8*l. Give t(w(p)).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 110*n + 7. Let d be y(4). Suppose -d*q = -444*q - 372. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1201*m - 839923 = -9860*m for m.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -2233233133?\nAnswer: 2233233201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2956 to the power of 1\/2, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + (-13 - -16) + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a (base 14) to base 2.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1022497?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*y**3 + 14*y**3 + 14 + 6*y**3 + 5*y**3 + 3*y**4 + 15*y**3 as k*y + n*y**3 + i*y**2 + l + v*y**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert d6c6b5 (base 15) to base 2.\nAnswer: 100110111110100010101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 463 - 313. Let g = i + -143.1. Let f = 6.89909 - g. What is f rounded to four dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*h + 47*h - 48 = 0. Sort -3, 3, -1, h.\nAnswer: -3, -1, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1336814.9 to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -35, -55, -75, -95, -115?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/72*(-24)\/20\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 264*j**3 + 2110*j**2 - 40*j - 190. Calculate h(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*u - 6, -u + 0 = 3*l - 2. Suppose 0 = 3*t + 2*t - 25. Let o be (-7)\/(-14)*2*t. Solve c = b - l*c, -o*b = -c + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42505*d**3 - 42317*d**3 + 84827*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(9\/90*-25)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 28, 72, 152, 280, 468, 728?\nAnswer: 1072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 51*t = -52*t + 4, d = t - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of 0*b**2 + 3\/7*b**7 + 0*b**4 + 0*b - 4\/3*b**3 - 2 + 0*b**6 + 0*b**5. What is the third derivative of r(j) wrt j?\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 973.3682 centuries?\nAnswer: 97336.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16294169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 78053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -13*n - 2. Let p be (-214)\/(-749) + ((-440)\/(-126) - (-8)\/36). Let t(c) = -52*c - 9. Calculate p*t(l) - 18*j(l).\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*l + 834766 + 1346574 = 0. List the prime factors of l.\nAnswer: 15581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 186*((-45)\/54 + 1). Suppose -p*n + 334597 = -155668. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-93765)\/(-70))\/(-47)*(-4)\/(-3)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2566628*f + 53899186. Give h(-21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + x = 6*x - 5, -5*x = 0. Let m(i) = 14*i - 1. Let q be m(-1). Let u be 26\/6 + (-10)\/q. Solve -5*w + 3*g = -9, 4*w + 3 - u = n*g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 AM and 8:54 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*g + 39*g - 49*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-14))\/((-5163)\/96376)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 9 - 1 = 0. Suppose 3 = s - v. Solve -3*f - 1 = -z + 4, 0 = -4*f + z - s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 20821\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -91 - -3?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 2:39 PM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -97 + (133 + -145 - (-2 + -29)) + -41\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * -526\nAnswer: -63.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-2 - -13) + -2. Let t = 9 - w. Solve t = -2*x - 5*b + 8, -1 - 2 = -3*x - 3*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -15 + -19 + 4?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (18 - 13)*(-8)\/(-20)*-1. Put b, 64, 5, -5 in decreasing order.\nAnswer: 64, 5, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 5:55 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a week in minutes?\nAnswer: 54432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -1. Suppose -g = -z + 4, -3*z + 3*g - g + 7 = 0. Which is smaller: r or z?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 235 and 802055.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 320*v**5 - 159*v**3 + 80126*v wrt v?\nAnswer: 6400*v**3 - 954*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 11*x**2 - 24*x - 7. What is y(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 279*s - 136*s + 208*s + (-s + 4*s - 2*s)*(0 + 3 - 5) - 2 - 2*s + 2 + 3*s - 1 + 1.\nAnswer: 350*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/63 + (-66)\/(-7) - 0. Suppose -w*m = 8*m - 15419. What are the prime factors of m?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -61815*n**5 + 150*n**3 + 4066471*n**2?\nAnswer: -3708900*n**2 + 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4277 (base 9) to base 6\nAnswer: -22324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.015, 21, 3 in descending order.\nAnswer: 21, 3, 2, 0.015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 766837 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o*q**2 - 24*o*q + 165621213*o + 2*q**2 - 18303*q wrt q?\nAnswer: -2*o*q - 24*o + 4*q - 18303","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 5 - 2 + (6 - 3 - 2)*(4 + 0 - 6))*(r - r + 3*r**3).\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 22 = 14*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1040, 4164, 9370, 16658, 26028, 37480?\n\"Answer: 1041*t**2 + t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**4 + 5*s**4 - 5*s**4 + (33 - 33 - 7*s)*(-1 - 3*s**3 + 1) + (4*s + 3*s - 4*s)*(s**3 + 0*s**3 - 2*s**3) + 0*s + 0*s + s**4.\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*s + 51 = 155, 264 = 3*p - 3*s. What is the smallest common multiple of 12 and p?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1685 is divided by 170.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3042 is divided by 708.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**2 + 11*v - 153. Calculate w(-14).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o + 1601617. Let p(m) = 3*m. What is a(p(i))?\nAnswer: 3*i + 1601617","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 113.6 or -4?\nAnswer: 113.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 - 45\/12) + (-2)\/(-4). Which is the nearest to 2\/5? (a) -1 (b) 4\/5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-12)\/(((l*l\/(l**(-4\/7)\/l)*l)\/l)\/l))\/(l*l**(-2))**(15\/2) assuming l is positive.\nAnswer: l**(-99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**(4\/5)\/u)*(u\/u**3)\/u*u**8\/(u\/(u**(-3)\/u)))\/(u*u\/(u*u*u\/u**(-12\/11)*u*u)*(u\/(u**(2\/51)\/u))\/u*u*u)**46 assuming u is positive.\nAnswer: u**(146381\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 38*f + 14. Let g(p) = -8*p - 3. Let n(x) = -14*g(x) - 3*y(x). Let u(s) = -s + 3*s - s. What is n(u(m))?\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 - 29 = 10*m. Let u(g) = -g**3 - 9*g**2 - 17*g - 7. Let r be u(m). Calculate the highest common divisor of 14 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1494474 meters in millimeters?\nAnswer: 149.4474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minus -14.86?\nAnswer: 39.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 9855029653999.\nAnswer: 9855029653994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -99363, -99143, -98573, -97479, -95687, -93023, -89313, -84383?\n\"Answer: 29*r**3 + r**2 + 14*r - 99407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 + 2*p**2 + 5 - p**2 + 0 to the form z + x*p + l*p**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14760 and -12.000331?\nAnswer: 14747.999669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - (-5174)\/312)\/((-210)\/48)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c - 54. Let p(x) = -2129*x. What is n(p(j))?\nAnswer: -10645*j - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - i)*(142 + 40 - 49).\nAnswer: -133*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 83?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 - 2053452*s + 45177880.\nAnswer: -4*(s - 22)*(s + 513385)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6332, -12665, -19008, -25367, -31748, -38157, -44600?\nAnswer: -51083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 41*g**2. Let s(x) = -545*x**2 + 271*x**2 + 268*x**2. Calculate h(s(f)).\nAnswer: 1476*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1508? (a) -8 (b) 9 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + sqrt(405) + -1 + -4)*2 - ((sqrt(405) + (sqrt(405) - 1*sqrt(405)))*-6 - -1*(sqrt(405) + 2)))**2 + 0.\nAnswer: -1944*sqrt(5) + 32949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -83 + 83 - 128*r**2 as m + j*r**2 + c*r and give j.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 11 - -5 - 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 8*p**3 - 11*p**2 - 11*p + 35. Calculate c(-4).\nAnswer: -609","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3616593 to the nearest integer?\nAnswer: 1902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -122, -215, -310, -407, -506, -607?\n\"Answer: -s**2 - 90*s - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -616 = 3*w - 14*w. Suppose -o - w + 188 = 0. Calculate the highest common divisor of 176 and o.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210114 minus -22341903?\nAnswer: 22552017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**1*f**5*((f**(2\/7)*f)\/f)**(-5\/13) assuming f is positive.\nAnswer: f**(536\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*s + 26. Solve 2*l + 3 - s = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 less than or equal to -2571\/220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, m: 2, r: 4, d: 1, f: 3}. What is prob of sequence mdff?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 2:42 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3178 in -0.1, 4, 58?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10092, 4, -2, 2 in decreasing order.\nAnswer: 4, 2, -2, -10092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1224055 (base 8) in base 13?\nAnswer: -baaa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 105 - 61*j - 112 + 23*j. Let d(b) = 18*b + 3. Let f(k) = -14*d(k) - 6*y(k). Let u(o) = -4*o. What is u(f(x))?\nAnswer: 96*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nbbnbbnbwnbwbbbnbnnb. What is prob of sequence nnwn?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 4188339?\nAnswer: -4\/1396113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 688 divided by -6\nAnswer: -344\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9514 or -9513?\nAnswer: -9514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (160\/(-15))\/(20\/12)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (16*1\/28)\/(3*4\/42). Solve 9*m - t = 10*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 372*i - 7 + 2.\nAnswer: -372*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-3 - 4 - -1)) + (-3 - -9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83496\/157 or -531?\nAnswer: -83496\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + sqrt(65)*-1)*-3)\/(6*-1*sqrt(5)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let b = -0.7 - s. Let n = 2.4 + -0.4. Sort b, n, 1 in decreasing order.\nAnswer: n, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 8, -0.03, 5\/3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287566, -287555, -287544, -287533, -287522?\nAnswer: -287511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 141 and 8948941.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(3) + -1 + 0 + 2)**2 - -2*(-3 + sqrt(108) + -1).\nAnswer: 4 + 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1268 is divided by 614?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of g**5\/60 - g**4\/8 - g**2. Suppose -p = -6 - 8. What is the remainder when p is divided by m(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 45*g + 1. Let a(l) = -91*l - 2. Calculate -6*a(n) - 13*s(n).\nAnswer: -39*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 164\/5 - 1247\/40. Find the common denominator of 91\/24 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 2, a: 2, o: 1, j: 1}. Give prob of picking 2 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -191664 divided by -47916?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-36)\/8*((-16)\/12)\/(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 3 = x - 5*v, -5*v = 10. Suppose -3*l + 6*l - x = 0. Solve -10 = l*t - t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (68\/40 + 580\/(-232))\/((-80)\/100).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 6) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - 32124081*v**2 + 32124081*v**2 + 18*v.\nAnswer: 2*v**3 + 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -30. What is the first derivative of -253*x + 253*x - 15 - 23*x**c wrt x?\nAnswer: -46*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 353*k - 3298 = 585 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 2*h + 2. Let j be u(2). Let t be 0 + ((-2)\/j - -5). Let a = 8 - t. Solve -2*m = -a*y + 2, 3*y + 0*m = m + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19503 - 19096.15. Round j to the nearest integer.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ldllldllldllld. What is prob of picking 1 l and 3 d?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.032 (b) 0.3 (c) 1\/29264\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.35, -2\/111, -2, -5\/6, -1 in increasing order.\nAnswer: -2, -1, -5\/6, -2\/111, 0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1143434604*j**3*t + 12*j**3 - 46469*j + 121 wrt t?\nAnswer: -1143434604*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 24220163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 1 + 2. Let y be 5 + j - 8 - -4. Do y and 0.12 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 218 - 214. Let v(b) be the first derivative of -1\/3*b**3 + 1\/4*b**u - 1 + 0*b + 0*b**2. Find the third derivative of v(y) wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.362 (b) -0.5 (c) 5 (d) -5 (e) -3 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11102310 (base 4) to base 7\nAnswer: -120135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -2*n**3 + 159*n**2 + 931*n + 476. Calculate o(85).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 71. Let p = m - -42.72. Which is greater: 1\/3 or p?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 3*u**2 + 4. Let a be y(-3). Does 16 divide a + 1 + -1 - (4 + -48)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2425)\/291 - ((-33)\/3*1 + 2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1309\/(-68) + 1 - -18.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -226, -759, -1796, -3505?\nAnswer: -6054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 97 = 41. Which is smaller: c or 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75761.04 months in centuries?\nAnswer: 63.1342","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1232 and 5500?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (745\/75 + -10)*-12. Which is the third smallest value? (a) 4 (b) 34 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 5.7207087us?\nAnswer: 0.00000000006621190625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15935455 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14 - 8b13a3?\nAnswer: -8b138d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + -2. Let t = 1.072 - 0.672. Sort t, i, -2\/9 in ascending order.\nAnswer: i, -2\/9, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y\/(y\/y**12))*y**(-7)*(((y**(-3\/2)*y)\/y)\/y)\/(((((y\/y**(-1\/5))\/y)\/y)\/y)\/y))**(-39))**(4\/29) assuming y is positive.\nAnswer: y**(14586\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6937, 15124, 24561, 35248?\n\"Answer: 625*b**2 + 6312*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 0.261, 0.4, -234?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/2172 and 23\/125252.\nAnswer: 375756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33 - 33. Suppose 3*i + l + 72 = 0, m*i + 5*l = 4*i + 96. Let h = 31 - i. What are the prime factors of h?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x*x**0))**(10\/9)\/(x**(-2\/15)*x*x\/x**(-3\/5)))**(-1\/13) assuming x is positive.\nAnswer: x**(11\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -55 - -9. Let x = g + 59. Let m = 69 + x. List the prime factors of m.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h = -6*h - h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 293, -24, 225 in increasing order.\nAnswer: -24, -3, 0, 225, 293","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4094585 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 10, -3*z = -2*g - 5*z + 56. Let o = g + -15. What is the greatest common factor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*t - 6 + 1 - 5*t)*(2 - t - 5 + 8) in the form z + b*t**2 + i*t and give z.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 910*f**2 - 459*f**2 - 444*f**2.\nAnswer: 7*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 69072091.2us?\nAnswer: 0.0001142065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of k**3 - k**2 - 2*k - 28. What is c(3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-440)\/(-12)*3\/2. Suppose -3*a - 2*p = -61 - o, 0 = -p + 4. What is the highest common divisor of 12 and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 7*n + 3. Let a = -17 + 34. Let s(c) = 6*c**2 + 21*c + 9. Let b(h) = a*g(h) - 6*s(h). Factor b(k).\nAnswer: -(k + 3)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -p**4\/24 + p**3\/6 + p**2. Suppose 1 = 3*c - 2*l - 2, -3*l + 12 = c. Suppose 4*v = -5*w - 11, 0*w = c*v + w. What is z(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238963 and 512069.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/2 of a millennium in decades?\nAnswer: 4350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -342654 by 598.\nAnswer: -573","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times 390?\nAnswer: -11.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1210142 to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2144 and 2921200.\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.3, -0.4, 1.13.\nAnswer: -3.3, -0.4, 1.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -15307972 + 15307983.7000276. Let a = n - 11.7. Round a to six decimal places.\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, l: 5}. Give prob of picking 2 q.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4027?\nAnswer: 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19610582?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5271 is divided by 1317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**3 - 17*z**2 + 5*z + 3. Let i(y) be the first derivative of y**4 + 25*y**3\/3 - 7*y**2\/2 - 5*y - 2. Let m(l) = 7*d(l) + 5*i(l). Give m(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43484775641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 6*a**2 - 2*a + 73*a**4 - 70*a**4 + 3*a**2 to the form s + t*a**3 + o*a + b*a**4 + l*a**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2. Let i(j) = -144 + 144 - 5*j. What is n(i(q))?\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 25763366?\nAnswer: 77290098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3*o**3 - 31*o**2 + o + 59. Determine y(7).\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jgqqnggngqgsnqggngng. What is prob of picking 1 n and 1 g?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 656353 to the power of 1\/4, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 11) to base 9.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -212*w - 553. Is g(-7) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 7*p + 12. Let h be u(6). Suppose 3*x = h*x - 15. Let q = 0 - -0.4. Which is the smallest value? (a) -2 (b) -5 (c) x (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/3 (b) 6 (c) 1\/9 (d) 0.087 (e) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*l + 6748 - 2149 = 0 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -477605*m - 13850547. Determine s(-29).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o**3 - 35*o**2 - 22*o - 17. Let v(c) = -c**3 + 11*c**2 + 7*c + 5. Let x(z) = 2*r(z) + 7*v(z). Calculate x(-5).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and 0.3444.\nAnswer: -0.003444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10982346*y**2 + 21964360*y**2 - 10982030*y**2.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 3*a**2 - 18*a - 4. Let f(q) = 2*q**2 - 29*q + 44. Let b be f(13). Determine p(b).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v - 80. Let l(s) = -s - 120. Let g(o) = 2*l(o) - 3*w(o). Let u(k) = -4*k - 6. Determine g(c) - u(c).\nAnswer: 5*c + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 - 7*c**2 + 4*c + 12.\nAnswer: (c - 6)*(c - 2)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*y = -5*y + 40, -5*y = -20. Calculate the common denominator of 31\/50 and (2568\/105)\/c + (-3)\/21.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3*h - 4617, -b - b - 2*h + 3070 = 0. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5441839?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21165524 is divided by 1175861?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14112 < 14142?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + 11 - (-2 + 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120.4 - 3.4. Let n = 200 - p. Let r = 83.000069 - n. What is r rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*x + 177 = -0*x, -5*w + 249 = -3*x. Suppose 0 = 3*f - 4*f - w. What are the prime factors of (f\/9)\/(2\/(-9))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5667307?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.18 times 3.76\nAnswer: -0.6768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13281806.\nAnswer: 2, 6640903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - s - 10. Let t be g(0). Let p be 26983749\/15 - 4\/t. Let x = 1261083 + p. What is x rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522698 to the power of 1\/2, to the nearest integer?\nAnswer: 1588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nt when two letters picked without replacement from {t: 1, n: 11, l: 3, h: 4}.\nAnswer: 11\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 204 (b) 4\/5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 280924065 and 54?\nAnswer: 561848130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 104092280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**11*s*s)\/(s*s**(2\/13)*s*s))\/((s*s\/(s**(4\/7)*s)*s)\/(s*s**(-15\/2))) assuming s is positive.\nAnswer: s**(531\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(288)*1 - ((sqrt(288) - 6*-2*sqrt(288)) + sqrt(288))**2 - 6*-5*(0 + sqrt(288)).\nAnswer: -56448 + 372*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ig when two letters picked without replacement from {i: 1, g: 1, y: 1, q: 2, b: 1, t: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116 + 210. Let c = 30 + f. What is c rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 4 - 4 - 2*b. Suppose 0 = 3*y - y - 6. Let q(c) = y - 2*c - 3. What is q(s(o))?\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -4 in descending order.\nAnswer: 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 1134.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.7 - -3. Let g = -15 - -12.8. Let m = 2 + g. Which is the second smallest value? (a) m (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 42 = -6. Suppose -2*u - 2*u = 52. Let p = v + u. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 1 + 5. Let w(c) = -z - c - 2 + 2. Let o be w(4). Let m(v) = -v**3 - 4*v**2 + 3*v - 4. Calculate m(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 26860, 26854, 26830, 26776, 26680, 26530?\n\"Answer: -2*v**3 + 3*v**2 - v + 26860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u. Let z be 11 - (20 - ((-12)\/(-1) - 1)). Let g(k) be the first derivative of 5\/3*k**3 + 27 + 0*k**z + 0*k. Calculate j(g(c)).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-7))\/(-2))\/((-473)\/(-6622)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1038 * -119.\nAnswer: -123522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3115 is divided by 3112?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*v + 8, v - 6*v = z + 20. Let b(l) = -3*l**3 + z*l**3 + 5*l + 2*l**3 - 2*l**2 + 3. Let w(c) = c**2 - 6*c - 10. Let s be w(7). Calculate b(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10290 a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 w when two letters picked without replacement from ccywwycycwc?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49035 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) 66 (c) -2\/55 (d) -64 (e) 4 (f) -249\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 513?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + 5012?\nAnswer: 5003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3607 and 0.10955?\nAnswer: 395.14685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 44162225797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4259200*j**5 - 5943520*j**4 - 1391368*j**3 + 463878*j**2 - 35856*j + 864.\nAnswer: -2*(5*j + 4)**2*(44*j - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 392 is divided by 79.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*b**3 - 6 + 4 - 3 wrt b?\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*m - 5*j - 188, 69 = 2*m - 3*j. Calculate the remainder when 145 is divided by m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/(-6) + 1 + -3. Let p = -0.13 - 0.07. Which is the nearest to 3? (a) v (b) p (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/25508 and -31\/60.\nAnswer: 382620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 6 = 0, -8*l + 8 - 4 = -k + 17 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 295 or 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -72 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2040 and 76092.\nAnswer: 760920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 864\/5 less than -1379?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k + 203. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*-1.7311\nAnswer: 8.6555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 794519, 1589037, 2383555, 3178073, 3972591, 4767109?\n\"Answer: 794518*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -5a46?\nAnswer: 5a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o + 40*o + 10 = 0, 5*w - 17 = o. Solve -4*n = q + 14, -2 = w*n - 3*q + 8*q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 + (9 - 1) + 1. Calculate the highest common factor of 132 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115962*r**5 + 210*r**4 + r**2 - 73364*r + 1026.\nAnswer: 2319240*r**3 + 2520*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(192) - (4 + sqrt(192) + -5)) + -1*(sqrt(192) - (sqrt(192) + -5)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*v + 17*v + 12*v)*(50 + 76 - 50)*(3*v - v - 3*v).\nAnswer: -1216*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/304 and (-3132)\/(-840)*(-15)\/(-36).\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 11*v = 168. Is 21 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/94*30\/9?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 15\/7*(-172)\/(-215). Factor -p + 4\/7*j**2 + 8\/7*j.\nAnswer: 4*(j - 1)*(j + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1d (base 15) to base 4.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -448 - -460. Let m be (-40)\/48 - (2\/l - 0). Let z(y) = -17*y + 1. What is z(m)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 60 = 2*w. Let s = -3 + w. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 216 and 636?\nAnswer: 11448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 14, k: 4}. Give prob of picking 1 k and 1 m.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 6, 4*t - t = k - 194. Let i = 84 + t. What is the remainder when 216 is divided by i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(832)*1 + 0 - ((-1 + sqrt(832))**2 + 1 - sqrt(832))).\nAnswer: -836 + 32*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*q**4 - 10*q**3 - 95*q**4 - 7*q**2 + 186*q**4 + (-q - 2*q + 5*q)*(-q**3 + q**2 - q**2) as s + a*q**4 + i*q**3 + h*q**2 + g*q and give i.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 28 (b) 1 (c) -1\/53 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 8. Let v = 0.02 + -3.02. Let p = v - o. Which is the nearest to p? (a) 4 (b) 2\/19 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29687832.\nAnswer: 2, 3, 31, 47, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 563314 (base 7) in base 4?\nAnswer: 120110230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1398 - 1381 = -3*t + f, t - 2*f + 19 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 26*v**2 + 1227*v - 6500. Determine w(-52).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 226446 and 102648?\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 43326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*r - 25 + 5, 28 = 2*p + 5*r. Let n(w) = 4 - 3 + w**2 + w + p*w - 6*w. What is the units digit of n(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 215 - 239. Suppose 0 = -c*a + 7*a, -135 = -5*t - 5*a. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/3*(-2 - -5). Let j = -16 - -22. Let d = j - 4. Sort -4, d, i in decreasing order.\nAnswer: d, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c - 2*r = -47 + 141, -17*r + 7*r + 7*r = 2*c - 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -0*w - 5*w - 10, 2*c = -3*w. Is c not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (88\/(-12))\/((-1)\/72*2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*2*(-30)\/12*(-283)\/(-68486)*363?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the third derivative of z**8\/336 - z**7\/42 - 7*z**6\/120 + z**5\/12 + z**4\/4 + 754*z**2. Factor c(s).\nAnswer: s*(s - 6)*(s - 1)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6311, -3, -13869 in ascending order.\nAnswer: -13869, -6311, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 27. Suppose -f + 5 = d. Let i(t) = -d + 0*t - t + 0*t. Determine i(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5823 + -5828. Let k(f) = 10*f + 7. Give k(u).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18870 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 445, 587, 1017, 1879, 3317, 5475, 8497, 12527?\nAnswer: 17709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001001 (base 2) to base 13.\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**6\/120 + q**5\/12 + 23*q**4\/24 + 11*q**3\/6 - 9*q**2. Let z be l(8). Sort 5, z, -4 in descending order.\nAnswer: 5, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -116\/3 and -39 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60608943 + 41481282. Let b = 258988527889\/13540 + f. Let p = b - -1\/677. Which is greater: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 1. Let o be l(6). Suppose o = -2*d + 3*d. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9203, 36802, 82801, 147200, 229999?\nAnswer: 331198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v. Let k(y) = y + 3. Let s(t) = -2*t - 6. Let g(c) = 5*k(c) + s(c). Calculate g(w(z)).\nAnswer: -3*z + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1137 + 1961. What are the prime factors of b?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 7*z + 4 = 0. Let a(h) = h**2. What are the prime factors of a(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -34*i**3 - 2*i**2 + 54*i + 165. Is 21 a factor of j(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(315*t + 18*t + 118*t + 35*t).\nAnswer: -486*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14129 + -11808. Calculate the greatest common divisor of a and 844.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3\/(-6) - 1762\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, l: 1, j: 4, g: 6}. What is prob of sequence dl?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 728 and 168?\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 522224 (base 8) to base 14.\nAnswer: 4719a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1056713 + 485412 = 25131*r - 290128 - 831633 for r.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9266669?\nAnswer: 251, 36919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15214 is divided by 22?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 2349*f - 378440. What is p(-174)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273\/(-104)*376\/47.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 96\/(-51) - -1. Suppose -1090*p + 1183*p = 186. What is the second smallest value in -8, o, p?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -105 in 2, -2, -1342, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-180)\/(-3))\/((-1902)\/(-1268))\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, a: 2, q: 2, u: 3, v: 2, z: 1}. What is prob of picking 1 u, 1 a, and 1 q?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 4.13.\nAnswer: 1.652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62851 is divided by 150.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -476*v - 2512. List the prime factors of m(-7).\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/21*(-42)\/20?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 169\/26*400\/130?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 50*h + 450. Determine f(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 7*c**5\/100 + 33*c**4\/40 - c**3 + 13*c**2\/2 - 2*c - 52. Let f(w) be the second derivative of k(w). Factor f(y).\nAnswer: 3*(y + 5)*(7*y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186604.5 litres to millilitres.\nAnswer: 186604500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3752625 and 750.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 474431 is divided by 19755.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14\/69 - -3\/23. Which is smaller: 6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20568?\nAnswer: 2, 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-6)\/39 + (-9365)\/390. Let x be (-763)\/(-30) - (-2)\/(-3). Let t = l + x. Which is the second biggest value? (a) t (b) -0.6 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 0*j - j - 12 = 0, n = 5*j + 5. Let t(p) = -3*p - 64. Let m be t(-23). Suppose -15 = 5*o + m*d, -4 = d - 3. What is the nearest to -1 in o, n, -3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -6. Let v = s - -1.8. Let q be ((-9)\/(-60))\/(10 + (-294)\/30). Which is the second biggest value? (a) v (b) 0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -11*q**2 + 252*q - 99. Calculate w(23).\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*r - 12, 4*r - 15 + 39 = 4*p. Solve 50 = -p*s + 3*k + k, 0 = 4*k - 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -211 + 209. Let c = -0.5 + 0.7. Let x = -0.4 + 0.3. What is the closest to 0 in a, x, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3185, -3182, -3179, -3176, -3173?\n\"Answer: 3*h - 3188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from {d: 1, f: 3, a: 1, e: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 7530 divided by 5\nAnswer: 1506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30100 divided by 7525.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4166253.\nAnswer: 3, 7, 13, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 29093138 and 43639707?\nAnswer: 87279414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 200\/9 >= 0.486?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -141 + 181. Let o(r) = -d*r**2 - 41*r**2 + 79*r**2. Let v(b) = 264*b. Calculate v(o(p)).\nAnswer: -528*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -52805?\nAnswer: -52808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 403344?\nAnswer: 403334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 7 = -3*v, -11 = 3*i - 6*i + 2*v for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 4*t + 24 = 0. Let d = -9 + t. Which is bigger: d or -17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 247*b = 253*b - 6. Is b\/(-6) - (-5162)\/12 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8658003 is divided by 7062.\nAnswer: 7053","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2639 smaller than -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 0) + 0 + 17. Let b be (-2 + m\/10)*5. Are 1 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 28 = 22 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -18*c**2 - 22*c + 712. Let s(t) = -5*t**2 - 6*t + 178. Determine 6*j(w) - 22*s(w).\nAnswer: 2*w**2 + 356","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5946 divided by 6884?\nAnswer: 2973\/3442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.56649 + 0.43351. Let f be -5*3\/(-5)*1. Let y be (-2)\/(-7)*3\/f. What is the closest to y in -0.4, v, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1850 is divided by 616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 906 * -1.\nAnswer: -906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3.009*6901\nAnswer: -20765.109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 2*b**2)*(-198 - 1074 - 911 + 332 - 587).\nAnswer: -4876*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 20*g + 30*g = 11*g - 13, -33*q + 5*g - 4*g = -32*q + 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001084 rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7\/y*y**(2\/27))**(-42) assuming y is positive.\nAnswer: y**(-2296\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329697?\nAnswer: 3, 12211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2275.1 + -2272.0903. Let x = h - 0.0097. Sort 3\/4, x, 5, 22\/5 in increasing order.\nAnswer: 3\/4, x, 22\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by -1300770.\nAnswer: 31\/1300770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -12502 (base 10) in base 6?\nAnswer: -133514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1123\/68 + -1\/68. Let z = 1\/4 - -1\/4. What is y in -20*y**3 - 5*y + z + m*y**2 + 8*y**4 = 0?\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 14*g. Which is bigger: g or 2\/285?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 5*b + 5 = 0, -3*f = -b - 37. Let i = 6 - 5. Suppose j + i + f = -5*h, 5*j - 50 = -2*h. Calculate the least common multiple of j and 10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37486305 and 277065?\nAnswer: 5895","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n + 4. Let o be 3 + (-1 - -2) + 0. Let t be v(o). Is 1 less than or equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.9 - -3. Let a = -453 - -466. Is b greater than or equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 102, 347, 638, 975, 1358, 1787?\nAnswer: 2262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 2*l + 2. Let c be n(11). Suppose p - c = -p. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1669305264 and 5.\nAnswer: 1669305269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/(-7))\/((-4)\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -2751*p**3 + 3*p**2 - 7*p + 10. Let a be g(2). What is a rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1365 = -x - 2*j, 5*x + 4*j + 2714 = 7*x. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 30. Calculate b(0).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 98584 divided by 4\nAnswer: 24646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -67*n**2 + 24*n**2 + 29*n**2. Let q(l) be the first derivative of 0*l**2 - 3 - 2\/3*l**3 + 0*l. What is z(q(o))?\nAnswer: -56*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2894*r. Let g(v) = v**2. What is h(g(m))?\nAnswer: -2894*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 225045070.\nAnswer: 2, 5, 1907, 11801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/172181081 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 7. Suppose 7 = j - d*b, -j + b = 3*j - 28. Is j > 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 6*m - 10. Let i be g(-8). Let n be 161 + -161 - 1*-6. What is the highest common divisor of n and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + 13*u - 2. Let z be v(6). Suppose 0 = 2*q - k - z + 3, 3*q - 34 = -5*k. Solve q*n - 35 = n - 5*o, n + 15 = 4*o for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*m - m. Let q = -13 + m. What is the remainder when 27 is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18)\/(-99) - 42\/(-11). Suppose 3*h = 2*h + 15. What is the remainder when (g\/2)\/((-15)\/(-210)) is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88062*r = 88063*r + 33 for r.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 62659173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 578.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, f: 2, e: 2}. What is prob of picking 4 p?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y + 2*a - 6, -2*y - 318*a = -320*a - 6 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.9 and 0.31?\nAnswer: 0.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 430 (base 13) to base 10\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 5 (c) -431361\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of i**6\/30 - i**4\/12 - 19*i - 19. Let b(l) be the first derivative of x(l). Factor b(o).\nAnswer: o**2*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v - 3444. Let k(t) = 2*t**2. Give k(z(r)).\nAnswer: 2*r**2 - 13776*r + 23722272","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 339198\/13 or 26091?\nAnswer: 339198\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -20*q + 519. What is r(17)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*y**2 - 51*y**2 + 12*y**2 + 11*y**2 + 11*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - b - 4. Solve -2*k - n - b*n + 11 = 0, 5*k - 2*n + 20 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 PM and 7:01 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 4*s = -5*c + 7, 0 = s - 4. Let w(r) = -11 + 6*r - c + 32. Suppose -1 = -3*k + 5. Determine w(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23325*k**2 + 11662*k**2 + 11662*k**2 - 2114*k**3.\nAnswer: -2114*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, h: 1, c: 6, f: 2, p: 6, e: 1}. What is prob of picking 2 c and 1 p?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19973576 divided by -29\nAnswer: -688744","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 3. Suppose 56*c + 14 = 54*c. Let i be 8\/(-3) - c\/(-21)*1. Calculate g(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -3*z**2 - z + 2227. Give x(26).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1\/4 (b) -41 (c) -3\/2 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5461 + -793. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6723, -1, 1, 102, -61, 3.\nAnswer: -61, -1, 1, 3, 102, 6723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + (sqrt(187)\/(sqrt(11) - -2*sqrt(11)) - (sqrt(17) - (sqrt(102) - (sqrt(102) + 2*sqrt(102) + sqrt(102)))\/sqrt(6))) + -1 + -1)**2*-4.\nAnswer: -9128\/9 - 440*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*t - 239*t + 18959 + 24513 = -2152*t for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/14 + (-4)\/(-7). Is 6\/13 > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(17)*-4 + sqrt(17) + -4*sqrt(425))*6)**2 - (sqrt(136)\/(sqrt(288)*1 + sqrt(288) - sqrt(288)) + -6*sqrt(272) + 3).\nAnswer: 143*sqrt(17)\/6 + 74049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1697 is divided by 239?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 124854 - 687?\nAnswer: 124156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -56*y - 2187 + 4400 - 2154. Let q be f(1). Solve -2*w - 2*s = q + 3, 0 = s for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 8 = 4. Let j(f) = -12*f**3 - 15. Let n(u) = -3*u**3 - 4. Give y*j(l) + 15*n(l).\nAnswer: 3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 105054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 + 4*d**2 - 3*d - 6. What are the prime factors of x(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033951.\nAnswer: 1033951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(120)\/(sqrt(125)*2))\/(sqrt(12) - sqrt(108)\/(sqrt(729) - sqrt(9)) - (sqrt(24)*2 - sqrt(24))\/sqrt(2)).\nAnswer: 8*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/1*96\/216.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 2\/63 (b) -2\/3 (c) 5 (d) -4\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100111 + -111101000001000011101?\nAnswer: -111101000000110110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1 + sqrt(891))**2.\nAnswer: 18*sqrt(11) + 889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/q**(7\/4)))\/q*q*q)\/(q\/q**0*q)*(q**4\/q)**(1\/5) assuming q is positive.\nAnswer: q**(27\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19554.\nAnswer: 2, 3, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 851482.1ml in litres?\nAnswer: 851.4821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 12:05 AM?\nAnswer: 2:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 656 divide 843091916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.33, 12\/7, -0.5, 0, -5\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 14*v**5 - 8852*v**4 + 1092890*v**3 + 26617692*v**2 - 7694064*v = 0.\nAnswer: -21, 0, 2\/7, 204, 449","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833)*-1 - sqrt(17)) + 2 + (sqrt(68) - (sqrt(68) + (1 + sqrt(68))*6)))**2.\nAnswer: 160*sqrt(17) + 6816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 PM and 8:46 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of 2*i**7\/21 + 2*i**6\/15 - i**5\/5 - i**4\/3 + 10*i. Let h(d) = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.26 rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/4))**(-8\/5)*h**5\/((h**(-5\/6)\/h)\/h*h))\/((((h**(2\/5)\/h)\/h)\/h)**(15\/4)\/(h**(-5)\/h*(h*h\/(h**(-3\/4)*h))\/h)) assuming h is positive.\nAnswer: h**(176\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(3744) + 1*sqrt(3744))*-4*-6)\/(sqrt(6)\/(sqrt(33)\/(sqrt(11)*2)) - (sqrt(242)*1 - sqrt(14)\/(sqrt(28)\/sqrt(4)))).\nAnswer: 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3642*f**2 + 11273*f. Calculate o(-3).\nAnswer: -1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19181064 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*v = 96, -2*w + 96 = -2*v + v. Let k be 28\/w - 2\/8. Put -0.3, 2, k, 1.1 in descending order.\nAnswer: 2, 1.1, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*d + 6*d + 140. Solve 3*x + x + d = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*q + 113. Solve -2 + q = -5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - p - 1. Suppose 2*k + 4*r + 2 = 0, -2*r + 1 = -3*k + 14. Suppose -k*y = y + 8, y - 2 = 2*a. Determine w(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36, -77, -118, -159, -200?\n\"Answer: -41*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {v: 6, g: 6, p: 1, k: 3, f: 1}?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*p = -3*n + 25*p - 19, -5*n = 4*p + 21 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 10317*t**2 - 10315*t**2 - 27*t + 33*t. Let a(p) = -15*p**2. Calculate s(a(f)).\nAnswer: 450*f**4 - 90*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.05399 (b) 89 (c) 4 (d) -0.2 (e) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3072 != 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1152 = 2*m + 4*m. Calculate the highest common divisor of 36 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58997 > -389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**3 - 1498. Let y(i) = 15*i**3 - 5989. Calculate -11*b(r) + 3*y(r).\nAnswer: r**3 - 1489","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*j - 4 = 58*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.92 + 0.08. Let i = 1.8 - -0.2. Sort 5, i, q.\nAnswer: i, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:53 PM?\nAnswer: 7:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 125787187 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 466 = 3*h + 33*y - 28*y, -2*h = 4*y - 310. Is h a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*z + 8 = 372. Which is the third biggest value? (a) -0.4 (b) 1\/2 (c) z (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4365*k - 4366*k - 2*k**4 - k**4 + 4*k**4 + 11*k**3 + 8*k**2 as z*k**4 + u*k**2 + a + q*k + b*k**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332123 by 6.\nAnswer: -332123\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24264, -48531, -72798, -97065, -121332, -145599?\nAnswer: -169866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 2*d + 2. Let r be o(0). Suppose 0 = 3*c + b + b, 25 = 5*c - 5*b. Find the second derivative of -r*z - c*z**2 + 5*z + 0*z + 0*z wrt z.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of w**5\/4 + w**4\/3 - w**3 + w**2 + 43*w. Let u(i) = -4*i**3 - 4*i**2 + 5*i - 2. Give 6*u(b) + 5*y(b).\nAnswer: b**3 - 4*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2\/15 - 2438932*q\/15 + 4877824\/3 = 0. Calculate q.\nAnswer: 10, 1219456","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3979+-0.3\nAnswer: -3979.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/18)\/(3\/(-6)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2301 - -5201. Does 100 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(-16))\/(o*o\/(o*o\/(o**(-34)*o))*o) assuming o is positive.\nAnswer: o**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1819157*m + 909579*m + 909578*m + 3331*m**2.\nAnswer: 3331*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 7*z + 8. Let b be y(-6). Suppose -4*i + b + 6 = 0. Solve 0 = -i*m - d - 1, 3*m = 5*d - 4*d - 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 678889 and 114?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1363 - -955. Let a = -112 + -166. Let k = a - f. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -50233664863616.\nAnswer: -50233664863618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 259 + -189. What is the lowest common multiple of z and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + ((-3)\/(-2))\/((-2793)\/2660)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10311 (base 4) to base 6\nAnswer: -1233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -670653 divided by -531.\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7169560 or -35847806\/5?\nAnswer: -35847806\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000708992519 to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*s = -120465 - 162290. Is 71 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -20\/18377?\nAnswer: -20\/18377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213047?\nAnswer: 19, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-8) + 275\/(-44). Let r be (-4)\/(-2 - 8\/q). Suppose 2*t + 2*n = n + r, -t + 4*n = -21. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/1)\/(2 - 3). Let g(r) = -11*r + 191. Does 33 divide g(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1367204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of 103*u**5\/20 - u**4\/12 + u**3\/6 - u - 59. Let h be (-4)\/(-2 + 0) + -1. Is a(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 17\/884*13 + 21\/12. Solve -895*d = -896*d - f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1372915 is divided by 273?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21206 divided by -6.\nAnswer: 10603\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*c**5*y - 183*c**2*y**2 + 447*c + y**2 + y wrt c?\nAnswer: -80*c**3*y - 366*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**3 - 78*i**3 + 39*i**3 + 11*i**3.\nAnswer: -34*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326*k - 1179*k = 30356 - 5619 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8 + 11 = 0. Suppose -o - 4*t + 17 = -5*t, -4*o = x*t - 47. Suppose 0 = -3*c + o + 16. Is c a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 - 2*t**2 + 3*t + 5. Let g be o(-5). Solve 0*p**2 + 60*p + 5*p**2 - g*p = 0 for p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247716.\nAnswer: 2, 3, 7, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 25. Suppose o*s + 16 = 5*i - 2*i, -4*s - 28 = -4*i. Let t(g) = -g**3 - 6*g**2 - 6*g + 5. Determine t(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*1*50\/(-825)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -296119*f + 92033 with respect to f.\nAnswer: -296119","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 80471.25 nanoseconds in minutes?\nAnswer: 0.0000013411875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/(-30)*-114*10\/(-4). Let g = h + -36. Suppose 0 = 5*u + 5*i - 655 + 25, 0 = g*u - 5*i - 273. What are the prime factors of u?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2456551)\/(-830) + 9\/30.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) -4 (c) 25 (d) -0.4 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 14}. Give prob of picking 2 s.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2 - 1. Let n be t(-1). Let y(h) = -h**3 - 8*h**2 - 2*h - 11. Let l be y(-8). Let g(r) = 1 + 2*r**2 + 0 + 2*r**2 - l*r**2 - 2*r. Calculate g(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42617988 by 6.\nAnswer: -7102998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/22 at most -60.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -836*m - 27866 = 17062 + 8438 - 3206 for m.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 12, w: 1}. What is prob of picking 2 a?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.2 (b) 23 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 2*l + 0*l)*(-4*l**3 + l**3 + l**3) - l**4 - 3*l**2 + 3*l**2 + (-3*l**2 + 2*l**2 + 3*l**2)*(-8*l**2 + 0*l**2 + 6*l**2 + 1).\nAnswer: -9*l**4 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 1. Suppose 0 = -2*o - 3*b - 7, 5*o + b + 2*b = -4. Let g(x) = 3*x + 10. Let j(a) = a + 5. Let k(q) = -3*g(q) + 5*j(q). What is o*k(z) - 3*m(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 4:36 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -7\/24*d**3 + 23\/16*d**5 + 0 - 1\/4*d**2 + 7\/10*d**6 + 13\/24*d**4 + 19*d. Suppose k(a) = 0. Calculate a.\nAnswer: -1, -1\/3, -2\/7, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*h - 3 - 14 = 0, j - h = -7. Which is bigger: -11 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 PM and 9:18 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*c - 126957*c**2 + 5*c - 241*c**3 + 126959*c**2 to the form q*c + d*c**2 + v + r*c**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116506449?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.5 + -0.5. Let r = -32 + 31. Put d, -2\/7, r in decreasing order.\nAnswer: -2\/7, r, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -776*d - 2. Let p(g) = -617*g - 2. Let j(w) = 5*p(w) - 4*r(w). Let v(z) = -9*z + 1. What is 4*j(s) + 9*v(s)?\nAnswer: -5*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 411*n + 28764 = -1281*n for n.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4\/9 or -0.09?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**4 + 604*a**3 + 14512*a**2 - 144064*a + 306432 = 0.\nAnswer: -28, 4, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 + 8*q**2 - 7*q - 3. Suppose 2*r = -36 + 50. Give s(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*a + 205 = 0, -3*w + 82 = -5*a - 79. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 5\/6019663?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1503\/155 + -313\/31. Which is the nearest to -1? (a) i (b) 390 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -p + 80. Suppose 0 = 4*n - 0*n - p. Suppose 5*q = n + 5. What is the greatest common divisor of 2 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -60*u - 6. Let h(a) = 24*a + 2. Determine -12*h(j) - 5*x(j).\nAnswer: 12*j + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 775*l**3 + 2271*l**2 - 2*l + 5498081?\nAnswer: 2325*l**2 + 4542*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4*w**4 + 1938132*w**3 + 7752404*w**2 - 29071812*w - 34886088 = 0.\nAnswer: -484529, -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 350123?\nAnswer: -4\/350123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 214958223*y**2 - 309215480*y wrt y?\nAnswer: 429916446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -0.2506804 (b) -0.4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(684)*3)**2 + (3*(1 + sqrt(684)))**2 + (-4 + sqrt(684)*2 + sqrt(684) + -2)*-1.\nAnswer: 90*sqrt(19) + 160071","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01888 rounded to three decimal places?\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 337182 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -190, -381, -572, -763, -954?\n\"Answer: -191*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*x + 288 - 5*x - 9*x - 6*x + 37*x as l*x + f and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 8918743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 7063 = 4*d, 18*x - 2*d + 5648 = 22*x. What is the greatest common factor of x and 332?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 22*i**2 + 3*i - 31. Determine u(22).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3189783?\nAnswer: 3, 43, 79, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2577778 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2667*i. Let y(n) = 37685*n**2. Give u(y(t)).\nAnswer: -100505895*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.7223 times -1219\nAnswer: -880.4837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.53408967 rounded to two decimal places?\nAnswer: 0.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**4 - 42*f**3 - 1810*f + 15923517?\nAnswer: -8*f**3 - 126*f**2 - 1810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3 (b) 5.01 (c) 1\/5 (d) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/2240 and -155\/93324.\nAnswer: 7465920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o - 11. Let l be (-170)\/12 - 1\/(-6). Let r be z(l). Suppose 2*y = 5*h - 88 - 15, 0 = r*y - 3. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 537, 1695, 3945, 7653, 13185?\nAnswer: 20907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-8 - -1)\/(8\/(-32)). Let s be 6\/b + (-3)\/(-15). Suppose s = 4*w + k - 790 + 24, w + 2*k = 188. What is the greatest common divisor of 24 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 1. Suppose -8*f = -3*f. Let b(t) = -2 + f + 3 + t. Give b(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence psss when four letters picked without replacement from {s: 4, p: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:06 PM and 6:17 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m**2 + 3*m**2 + 5*m + 1 + m**2 - 2. Let f(i) = -2*i**2 - 2*i - 9. Let n be f(-5). Let w = 44 + n. Determine v(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-191 + 265 - 199 + 704 + 793)*(6 - 6 - 4*y) to the form p*y + k and give p.\nAnswer: -5488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15.9 + -16. What is the second smallest value in g, 25, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 = 9*i + d, 2*i - d = 64 - 14 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3832580047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2 - 5*n + 14.\nAnswer: -(n - 2)*(n + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 12:26 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 5 = -2*x, 3*c + 5*x = -2*c + 40 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 5*m = -15 - 1, -3*m - 12 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -6. Suppose d - 24 = -3*d + 4*h, 0 = 3*d + n*h. Suppose -4*w + 2*b + 3 = b, 2*b - d = -w. Calculate the greatest common factor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a**2 + 22*a - 14. What is the hundreds digit of c(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6*5082\/(-3366) - 1\/17. Suppose 4*m - 3*m + 3 = 3*k, 0 = -5*m. Calculate the greatest common divisor of h and k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -4 - -13) + 8 + (6 - -4) - -77?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 251, 1, 201 in decreasing order.\nAnswer: 251, 201, 1, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a - 5 + 5)*(-2*a + 0*a + 6*a).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 788351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 - -115. Let l = z + -343\/5. Suppose 2*v - 4*f + 2 = 0, -5*v - 4 = -v + 4*f. Which is the nearest to 0.2? (a) 3 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 53.9, 0.3?\nAnswer: 53.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58672 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 198 = -10*v. Find the common denominator of -40\/3 and 184\/14*11\/v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 11*v - 28 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 8 + 17 = r, -3*r - n = -27 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5184*v**2 - 167*v**2 - 1740*v**2.\nAnswer: -7091*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31.689 + 23.689. What is the closest to -2 in -0.1, 0.5, -3\/16, v?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1466 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z - 12. Let x be ((-4)\/10)\/(4\/120). Let g be l(x). Is 1\/20 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 45*s**4 + 29934325*s**3 + 216190070*s**2 + 46564000*s = 0?\nAnswer: -665200, -7, -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, d: 1, w: 2, h: 2}. Give prob of sequence hww.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 5*x + 42, 28 = n + n + 2*x. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z - 5. Let v(l) = l**2 + 5*l + 6. Let s(n) = 6*u(n) + 5*v(n). Find the second derivative of s(a) wrt a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39721*-0.94\nAnswer: -37337.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-70)\/8)\/((-6)\/24). Suppose 2*i = i + 5*s - 14, -4*s = -5*i + y. Solve -h + 6 = 5*q - 14, i = 4*h - 3*q for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of 14*q**3\/27 - 38*q**2\/3 + 64*q\/9 + 66. Solve o(m) = 0 for m.\nAnswer: 2\/7, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 261 - 256. Suppose -f*s - 5*p + 583 = -297, 4*s = 2*p + 680. Does 55 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - g**3 - 4*g**2)*(-1 + 4 - 3*g - 1)*(-3 + 5 - 4).\nAnswer: -6*g**4 + 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4287010 by 61243.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**5\/60 + 19*f**4\/24 + 17*f**3\/3 - f**2 + 3*f. Let t be x(-17). Solve t*m = -2*m, -2*a = 2*m + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.138, 0.14, -5\/3?\nAnswer: -0.138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 788575, 788585, 788609, 788653, 788723, 788825?\nAnswer: 788965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*q - 213*q - 789264 = 0. Does 63 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r + 360. Calculate the highest common factor of 30 and r.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13540 and 135400.\nAnswer: 135400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263, -1054, -2371, -4214, -6583, -9478, -12899?\nAnswer: -16846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + (sqrt(1300) - (sqrt(1300) - sqrt(1300)*-1)*1))**2 - (2*sqrt(65)*-2)\/sqrt(5).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t - 8*t + t)*(-1 - 1 + 0)*(-12 + 0 - 10).\nAnswer: -528*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3425 = -3392 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 44314546.3 times -2\nAnswer: -88629092.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/5)\/(4\/10). Suppose 2*m + 0 = -g - 2, 2*g + 2*m = -j. Let h = g + 3. Solve 0*v + 12 = -h*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 6580?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 67963 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -26, -96, -216, -386?\n\"Answer: -25*t**2 + 5*t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 4*l**2 + 2. Let c be y(-2). Let b = -73 - -74. Let r = c + b. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -34\/641759?\nAnswer: -34\/641759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300, 578, 856, 1134, 1412?\nAnswer: 1690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -467, -1214, -2205, -3440, -4919?\nAnswer: -6642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4989226 is divided by 5208.\nAnswer: 5170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i**3 + 4*i**3 - 1130*i**2 + 201*i**2 + 84*i**5 - 615*i**4 + 615*i**4 wrt i?\nAnswer: 5040*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 913\/70 + -51\/14. Let j(w) = 45*w**3 + w**2 + 2*w + 1. Calculate the common denominator of o and j(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*j - 0*j + 12, 0 = 4*j - 4*r + 8. What is the tens digit of -21*j\/(-4) - 2\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4*(-1)\/(-136)*2)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.171464 millennia to years.\nAnswer: 2171.464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0*s = 4*i + 28, -7*i - 36 = -2*s. Sort -2, s, -10.\nAnswer: -10, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53990963269 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2488.1 and 0.2392?\nAnswer: -595.15352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(2*18\/4). Suppose -14516 = -534*x - 12380. What is the fourth biggest value in -3, -6\/19, z, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -282, -285, -288?\n\"Answer: -3*v - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2770 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8960 is divided by 8527?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Let a = 2.13 + -0.13. Let f = 2 + a. What is the nearest to -0.1 in f, g, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4401.33 - 4401. Do i and -0.92 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 47*y + 343. Let s be q(-38). Solve -4*n - s = -j, 0 = 10*j - 5*j - n - 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*w**4*y**3 + w**4*y - 7*w**3*y**3 - w**2*y**3 + 3*w**2*y**2 - 11 wrt w?\nAnswer: 72*w*y**3 + 24*w*y - 42*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17561*d - 6313*d + 2580*d to q*d + l and give q.\nAnswer: 13828","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*g = -38, -3*x - 4*g + 37 = -30. Let c be (-1 + 2)\/((-7)\/x). Let h(j) = -j - 2. Give h(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -47 - -63. Let g be 4\/6 - 206\/(-6). Suppose 0 = 5*t - 6*j + j - 65, -2*t - j + g = 0. Calculate the lowest common multiple of t and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36194400 bigger than 36194403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-836)\/7 - (-20)\/(-35). Is ((-194)\/3)\/(16\/d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.55 + -5.95. Let c = -174 - -202. Put 0.3, q, c in decreasing order.\nAnswer: c, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -123862, -247719, -371576, -495433, -619290, -743147?\n\"Answer: -123857*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100203023 - -2?\nAnswer: -100203021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -252768*a**5 + 20*a + 1069 wrt a?\nAnswer: -5055360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1700 and 0.056.\nAnswer: 95.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7\/25 of a century?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1481316?\nAnswer: 2, 3, 19, 73, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 111*v**2 - 52*v - 322. What is the hundreds digit of l(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34175209\/17 - 2009414. Let u = 1781\/2 - o. Let l = 238371\/22 + -10833. What is the common denominator of l and u?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 61069295?\nAnswer: 61069292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*h = h - 893, -877 = z + 3*h. Let r = z + 1714. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/4 - 23845*y**3\/4 - 143107*y**2\/4 + 23845*y\/4 + 71553\/2 = 0. What is y?\nAnswer: -6, -1, 1, 23851","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14184\/(-675) - -21)*(46 - 45)?\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1591967\/20 + -79581. Let z = 67\/4 - w. Calculate the common denominator of z and -61\/65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 2*q**2 + 9*q - 5. Let r be (65\/13)\/35*28. Calculate j(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74256 and 3009?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 12*y + 312 = 0. Let s = -54 - y. Suppose -s = -r + 23. What are the prime factors of r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*h - 3*h + 15 = 3*c, 4*c - 4*h - 4 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -7743530 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 7, p: 3, t: 1, y: 1}. What is prob of sequence ei?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 4*o**2 + 3*o + 8. Let y be m(-3). Which is bigger: 2\/5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 632 is divided by 175.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 20*y + 6. Suppose -3*p + 288*h = 286*h - 44, -2*p = -5*h - 22. Calculate the remainder when i(6) is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -6. Suppose -m + n*m = -5. Solve m*w - 12 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 564, 1720, 3914, 7494, 12808, 20204?\nAnswer: 30030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 25, -3*c = -0*c - d - 1. Suppose c*u + 1 = 3. Let v(l) = -l**2 + 2*l + 2. Let r be v(3). Sort u, -2, r in descending order.\nAnswer: u, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*a - 72730 + 14355 = -1052*a + 13753 for a.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2228271, -4456532, -6684795, -8913060, -11141327?\n\"Answer: -c**2 - 2228258*c - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 86\/7 + (-28)\/98. Suppose 3*d - 2*r = -f + 79, -r - 91 = -4*d. What is the tens digit of (6 + -5)\/(1\/d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7 - 24 - -6)*1. Let r(l) = -l**3 - 26*l**2 - 27*l - 46. Let y be r(m). Suppose 22 = 3*b + 1. Solve 0 = 2*n + 3*p + 1 - b, y*p = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, -0.2, -2\/6871, 1?\nAnswer: -2\/6871","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 1868?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -2*j - 6. Let g be (-1)\/1*(-15 + 3). Suppose -4*x + x - g = 0. Determine l(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -13.5*16\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 86749696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644810 is divided by 46057.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -9*x**2 - 16*x + 7. Let b(h) = -2*h**2 - 2*h + 1. Let y(q) = 14*b(q) - 2*s(q). Let o(v) = 4*v**2. What is o(y(t))?\nAnswer: 400*t**4 - 320*t**3 + 64*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 159 - -305.\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = c + 4*z, 219 = 12*c + 4*z + 167 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 275*c*p*q**2*z + 2*c*p*q*z + 2*c*p*z + 2*c*p - 4*c*q**3*z + 29*c*q - p*q wrt q.\nAnswer: 550*c*p*z - 24*c*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**3\/3 + 2*t - 1. Let j(u) = u**2 + 18*u + 19. Let q be j(-17). Suppose -2*v = 4*y + y - 20, 4 = -3*y + q*v. Determine x(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 92173 = -4*p, 3*s - 41349 = 3*p + 13956. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 2874.\nAnswer: 5748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 120120 (base 4) in base 5?\nAnswer: 22220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43727 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24265 divided by 24265?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.18 - -1.78. Which is the nearest to -35? (a) u (b) -2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**5\/7 + 6*j**4\/7 - 80*j**3\/7 + 60*j**2\/7 + 76*j\/7 - 66\/7 = 0.\nAnswer: -11\/2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -4*s**3\/3 + 1. Let j(y) = -3*y - y + 3*y - 3*y. Let n(c) = 9*c. Let r(d) = 5*j(d) + 2*n(d). Determine m(r(p)).\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 + 9*w**2 + 1. Let z be o(-9). Suppose -2*j + 8 = 0, -4 = -3*f - 2*j + 4. Solve -s + f = -z for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 10:56 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.1544735\nAnswer: -0.0308947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (192\/(-80))\/((-3)\/10). Find the second derivative of 7*i + 10*i - 4*i + k*i**4 wrt i.\nAnswer: 96*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -240\/131 + 1768\/393. Which is the nearest to 0? (a) -7 (b) -2\/17 (c) g (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 2 l when three letters picked without replacement from tlttlttltttltttltt?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -o**6\/15 + 9*o**5\/25 + 4*o**4\/15 - o + 25. Suppose f(j) = 0. What is j?\nAnswer: -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 65, 792, -0.2?\nAnswer: 792","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0, 159, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6\/(-21) - 107\/(-7)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10020 - -12020201?\nAnswer: 12010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + -6. Let p = -8 - i. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1111990 to the nearest integer?\nAnswer: 1055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 78*v - 130. Let c be x(-41). Solve 26*q = c*q + 40 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1101 or -1098?\nAnswer: -1101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v**2 + 2*v**4 + v**2)*(4 - 6 + 3) + (28*v - 4*v - 12*v)*(0*v**3 + 2*v**3 - 3*v**3) + 171*v**3 - 10*v**4 - 171*v**3.\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + -0.3. What is i rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 - 296*k + 1430.\nAnswer: 2*(k - 143)*(k - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 102 = -2*o, o - 22 = -4*c + 9. Let q = 40 - o. Is q bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 3211127 (base 8) in base 15?\nAnswer: 11dc5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1*sqrt(110)*2)\/(sqrt(50)\/(-2*sqrt(5))).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45387 = -117*g - 252*g. Let b(u) = -2*u**3 - 4*u**2 - u. Calculate the remainder when g is divided by b(-3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -9942261.536 rounded to the nearest one hundred?\nAnswer: -9942300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: a861 (base 15) to base 8\nAnswer: 105471","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.501 - -0.101. 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: Let b(l) = -l**3 - 10*l**2 + 8*l - 14. Let a be b(-11). Is a at most as big as 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 7}. Give prob of sequence ow.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11\/6)\/z**(-9))**(18\/13) assuming z is positive.\nAnswer: z**(129\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-375)\/6)\/(-5) - (-32)\/64. Solve 0 = -4*k, 15*y - 3*k + 10 = x*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(17)*2 - sqrt(17))**2 + sqrt(17) + -4 + -1 + sqrt(153) + (-2*sqrt(153))**2.\nAnswer: 8*sqrt(17) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 + -1.21. Let n = i + 0.8. Let t = 0.05 - 2.05. Which is the second smallest value? (a) n (b) t (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67766160 a multiple of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 2:47 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -1. Let j(u) = -2*u - 5. Let a be j(-4). Let s(g) = -3*g**3 + g**2 + 4. Calculate a*n(f) + s(f).\nAnswer: -3*f**3 + f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-2))\/((-41)\/(1599\/26)). Let l = 73 - 289\/4. Factor l*g + 3\/2 - w*g**2.\nAnswer: -3*(g - 2)*(g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-16)\/40*1)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x. Let a(h) be the third derivative of h**5\/2 + h**2 - 6*h. Calculate y(a(u)).\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230 + -200?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 192\/5*c**2 - 49\/5*c**4 + 16\/5 - 112\/5*c + 28\/5*c**3 = 0.\nAnswer: -2, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.34 + 0.04. Let w = -0.6 + 1.8. Let k = -5.2 + w. What is the closest to l in 0.2, 0, k?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 2632?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1293, -1252, -1209, -1164, -1117, -1068?\nAnswer: -1017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 7*a**2 - 2*a - 11. Let k be w(-7). Is (-148 - (k + -3))*(-9)\/12 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 2 - 1)*(-611*i - 16612*i - 5397*i - 13177*i) to v + l*i and give l.\nAnswer: 71594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4380 and 30300?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115 is divided by 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -412*n**3*w + 137*n**3 + 2*n**2*w**2 + 2052*n**2 + 1391*w wrt w.\nAnswer: -412*n**3 + 4*n**2*w + 1391","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*-2*10\/10\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -5*-1*sqrt(171) + sqrt(171))\/(-4*sqrt(225)))**2.\nAnswer: 931\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -127, -147, -155, -145, -111, -47, 53, 195?\n\"Answer: r**3 - 27*r - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + (-3*(0 + sqrt(2)))**2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.79461 nanograms to milligrams.\nAnswer: 0.00000579461","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (461 - 113 - 19)*(2*z - z + 11 + 13*z**3 - 12 + (-3 - 2*z**3 + 3)*(4 - 5 + 2)).\nAnswer: 3619*z**3 + 329*z - 329","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 5, 0, 9, 2 in decreasing order.\nAnswer: 18, 9, 5, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1.03. Suppose -2 + 7 = 5*i. Let w be (-3 + (-15)\/(-6))\/i. Is w bigger than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/(48\/(-528)*22)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24144)\/(-360) + (-4)\/10)*39. Suppose -w = -11*v + 3483. Is 24 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 2:24 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 169 (base 13) to base 11\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + -4 + (1 + sqrt(1008))*5 + 3 + sqrt(1008)*1 + -1))**2.\nAnswer: 326592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*z - 6*z - 65136867*z**2 + 65136835*z**2 - 6*z.\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (-10 + -2 + 9)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15065 and 698699635?\nAnswer: 698699635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -239.208095 to one decimal place.\nAnswer: -239.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 5)*(-7*v - 2*v - 2*v) + 10*v - 2*v + 0*v + (-v - 2*v + 5*v)*(4 - 1 - 4) to the form u*v + g and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 2*a + 2. Let f be p(-2). Let y = 0.095 + 0.005. Put f, -2\/5, y in descending order.\nAnswer: f, y, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -3, 0.1, -2\/11 in increasing order.\nAnswer: -3, -2\/11, 0.1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 148? (a) 2\/9 (b) 3 (c) 5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 3*o - 2*o)*(308 + 306 - 652).\nAnswer: -76*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -68318311, -68318307, -68318301, -68318293, -68318283, -68318271, -68318257?\n\"Answer: t**2 + t - 68318313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -566 at most -567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 910*z = -963*z + 219 + 8, -4*s - 4*z - 4 + 0 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 3*s**2 + 2*s - 5. Let b(t) = 4*t**2 + t - 6. Let w(c) = -2*b(c) + 3*k(c). Let i be w(-5). Solve 1 = -p - i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**2 + 229702*r - 4594840 = 0.\nAnswer: -114871, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o - 36 = -102 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 294226 times 1\nAnswer: 294226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 8193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5650 is divided by 574?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 702, 1311, 1856, 2337?\nAnswer: 2754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2629453559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -4573687962.\nAnswer: -4573687961.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**3 + 8*p**2 + 8*p + 12. Let r be q(5). Let o(l) = -13*l**2 + l**3 - 7*l**2 - 10*l**r + 6 + 23*l**2 - 9*l. Give o(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/4*(-6)\/(-3). Solve -5*z + o + 16 + 6 = 0, -j*o - 26 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -496090*j**2*x**3 - j*x**3 - 3*j*x**2 - j - 203*x**3 + 12 wrt j?\nAnswer: -992180*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1609198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 9*v - 6. Let l be o(9). Let n(g) = g + 10. Let j be n(l). Solve 0 = j*b - 2*b + 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -147239 - -226792. Let q = -10447 - x. Round q to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q*q**(-1\/5))\/q)\/((q\/q**(-4))\/q)*((q\/((q*q\/(q*q\/q**(-3))*q)\/q))\/q)\/(q**3\/q))**20)**11 assuming q is positive.\nAnswer: q**(-704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -138*u - 1. What is l(1)?\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c**3 + c + 1. Let z be l(-1). Let g(d) = -d**3 - d**2 + 6*d + 7. Is g(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35307073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*h, -24*h + 27*h = -2*m + 8 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 4 (b) 77\/6 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/6)\/(1230\/(-2214))*(-3)\/(-12)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 6*w + a = 11, 3 = -3*a. What is the biggest value in w, -0.02, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 i when two letters picked without replacement from vaiicavvuaiiuia?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -5*c, 5*c - 21 + 6 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 104, 202, 298, 392, 484?\n\"Answer: -f**2 + 101*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3950228*v**2*w**2 - v**2*w + 834038*v**2 wrt w?\nAnswer: -7900456*v**2*w - v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*a - 7008 = 0, 0 = -y + 2*a - 0*a + 3486. Let t = -2297 + y. Suppose 3*k = u + 318 + 407, -4*u = 5*k - t. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**3 + 3*x**2 - 6. Let o(s) = -3*s**3 + 2*s**2 - 4. Let n(r) = 5*k(r) - 7*o(r). Let m(y) = 4*y + 7. Let j be m(-2). Let w be n(j). Is -6 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -273, -335, -397, -459, -521?\n\"Answer: -62*n - 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-5)\/3)\/(0 - 1\/3) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of l**6\/660 - 2*l**5\/55 + 3*l**4\/11 - 32*l**3\/33 + 509*l**2. Factor b(p).\nAnswer: 2*(p - 8)*(p - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1246434, -2492857, -3739294, -4985751, -6232234, -7478749, -8725302?\n\"Answer: -f**3 - f**2 - 1246413*f - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 162*o**2 + 1. Let u(m) = -m. Give u(w(v)).\nAnswer: -162*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4547 + -2143. List the prime factors of j.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 22 + 9 - 15 + 11 + u.\nAnswer: u + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -110, 5.\nAnswer: -110, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 5*q**2 + 6*q + 3. Let k be t(-4). Let p(m) be the second derivative of m**4\/12 + 5*m**3\/6 + 3*m**2\/2 - 14*m. What is p(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m - 2*m + 80. Suppose -4*g = -0*g + 3*p + m, -2*g - 14 = 3*p. Which is the closest to g? (a) -3 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3829465 times -59?\nAnswer: 225938435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -6*x - 18. Suppose -52*b - 572 = 25*b - 187. Let g(z) = z + 1. Determine b*g(r) - t(r).\nAnswer: r + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -14\/183, 0, -16?\nAnswer: -14\/183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -1 + -6*1\/(-2) and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((1 - 5) + 2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -3*i - 2*m + 60, -m = 2*i + 26. Let p be 74\/i + 3 - -2. Let r = 2158 - 2158.15. What is the second smallest value in r, p, -0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45 + -10. Let r = -52 - v. What is the least common multiple of 42 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2))**(15\/7)\/(((j\/(((j*j**(1\/2))\/j)\/j)*j)\/j)\/j)**(2\/87) assuming j is positive.\nAnswer: j**(-2617\/609)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7928 - -8153. Calculate the remainder when h is divided by 190.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 245 divide 18621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 62*m = -58*m + 26, -3*w + 22*m = -185 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**2 + 9252690*x - 7134356019675 = 0. What is x?\nAnswer: 1542115","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uvvu when four letters picked without replacement from vvvvvuuavvavv.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a53 - 971?\nAnswer: -1804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -23 - 37. Let o = y - -9. Let u be 2 + -3 - (2 - 2). Put u, o, -5 in descending order.\nAnswer: u, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + -1cd54d5c?\nAnswer: -1cd54d63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e6b - -4b9?\nAnswer: -9a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 9:14 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**2 - 2. Suppose -4*c = c + 10. Let g be d(c). Find the third derivative of -3*w**6 + 0*w**4 - 3*w**2 + 0*w**g + 0*w**4 wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.26733 and 0.3.\nAnswer: 0.080199","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1782*t**2 + 11*t + 938*t**2 + 840*t**2 - 102 in the form k + j*t**2 + p*t and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1295624 to the nearest 10000.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o\/o**21)*o**(-7))\/(o**(-23)*o**(-1\/4)) assuming o is positive.\nAnswer: o**(145\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4071, 4\/5, 2\/29, -5 in decreasing order.\nAnswer: 4071, 4\/5, 2\/29, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 7*f - 12 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 = 10*x - 2174. Let j = -179 + x. What is the highest common factor of j and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37 + -49 + -1 + (-12 - -4) + 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v + 15. Let t(a) be the second derivative of -a**5\/30 - 25*a**2\/2 - 63*a + 2. Let o(h) be the first derivative of t(h). Determine r(o(i)).\nAnswer: 4*i**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1822.5 and -68.\nAnswer: -123930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymysrtt. What is prob of sequence yrt?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*i*u**2 + 970936*i*u + 5*u**2 - 530822*u wrt i?\nAnswer: 5*u**2 + 970936*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 717307 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(-3 - (0 - 2)). What is the derivative of -2 + 2*m + q + 0 wrt m?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1711 and 2813.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1032730 is divided by 518?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 482045982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 8:05 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x + 1. Let u be 12 + 0 - (3 + 1). Let n be 4\/u*8 - 5. Let i be 0\/(-19) + 1*n. What is p(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -42 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -43*g - 204. Let r be f(-7). Suppose r + 123 = 4*m. What is the greatest common divisor of 40 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 + 41*s**2 - s - 41. Let o be l(-41). Suppose o*w + 5*w = -20, -j = -3*w - 92. Calculate the greatest common divisor of j and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 61. Give y(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-14)*2072\/(-5772).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 142843 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24619 is divided by 665.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((9 - 5)\/(-4))\/((-2)\/30). Suppose 10*f + 235 = y*f. List the prime factors of f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**3\/4 + 2055*g**2\/4 + 3*g\/4 - 2055\/4 = 0.\nAnswer: -1, 1, 685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(108)*4 + -5 - ((sqrt(192) + 1*sqrt(192))\/sqrt(4) + -2).\nAnswer: -3 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -102 + 111. Let w = j - -38. Suppose 287 = 5*q + w. Calculate the remainder when q is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 38*f**2 + 72*f - 3. Is a(-58) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from jjffjgjfjf.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9683.624km in millimeters?\nAnswer: 9683624000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 12:49 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqh when three letters picked without replacement from mhemqhbs.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1723*g - 1714*g = 144. Solve r - g = -12 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.1 - 64. Let d = 32.075 - 0.075. Let k = d + p. What is k rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*p - 105*p + 33*p - 5*p**3 + 35*p.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 920725560 rounded to the nearest one hundred thousand?\nAnswer: 920700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91*((-12)\/(-28))\/(-37 - -36).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305 at least 2303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1644*g - 94*g - 1552*g. Let r(h) be the third derivative of -h**4\/12 + h**3\/6 + h**2. Let x be 3\/(1\/2*-2). Determine x*r(w) + 4*b(w).\nAnswer: -2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 234 - 232. Suppose 5*i + 2 = h, 6*h - h - 10 = 5*i. Suppose h - 9 = -7*w. What is the greatest common divisor of a and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -81, -386, -903, -1638, -2597?\n\"Answer: -a**3 - 100*a**2 + 2*a + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2. Let o(c) = -171535284*c + 1. Calculate o(x(q)).\nAnswer: -171535284*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-20342)\/(-63932)*(-12)\/(-7)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -114.3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5*o**2 + 2. Let n(z) = -10*z**2 - 5. Suppose 0 = 4*y - 0*v - v + 23, -5*v + 25 = -2*y. Let d be (-5)\/4 + 1 - (-7)\/(-4). What is d*n(q) + y*a(q)?\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*l**2 + 6*l**2 + 5*l**3 + 5*l**3 - 5*l**3 - 3*l**3 + (-l**2 - 3*l**2 + l**2)*(-2*l + 2*l + l) to q*l + g + v*l**2 + i*l**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -1133*k**2 + 22*k + 6. Let g(o) = -1130*o**2 + 26*o + 7. Calculate 6*b(t) - 5*g(t).\nAnswer: -1148*t**2 + 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38 - -1028\/27. Let u = l - -77\/54. Factor -u*q**3 - 3 + 9\/2*q + 0*q**2.\nAnswer: -3*(q - 1)**2*(q + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-3)\/15)\/((-8)\/4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3740747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*t**2*u**4 + 29*t**2*u + 2*t*u**2 + t + 505549*u**6 - 1954*u**2 + 38*u - 1 wrt u.\nAnswer: 552*t**2*u + 60665880*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1192\/(-286))\/(-1) - (-71)\/(-923) and -11\/2456?\nAnswer: 27016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000003487 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 14*x + 624. Let d be 0*13\/x - 20*277. What is d rounded to the nearest one hundred?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpllllp. What is prob of picking 2 l?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cjd when three letters picked without replacement from {c: 1, d: 2, j: 1, v: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637185667 a multiple of 1142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 10*z**2 + 12*z - 6. Let v be m(9). Let s be 8\/6*9\/v. Let y = -9 + 9.2. Which is the closest to -3? (a) s (b) 0.3 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1076*j**2 - 803*j**2 - 5100*j**2 + 1.\nAnswer: -4827*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**5 - 2044*m**4 - 1992*m**3 + 24464*m**2 - 8224*m - 32640 = 0.\nAnswer: -510, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10222182.69 rounded to the nearest ten thousand?\nAnswer: -10220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -76332 (base 8) to base 3.\nAnswer: -1121211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22241761 is divided by 397174.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*z + 4855 = -25070. What are the prime factors of z?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 7:37 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**2 + 93*i + 513. Let f be w(-5). What is the closest to f in 5, 4\/5, -118?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 34567*p**2 + p - 2*p - 34564*p**2. Let i(j) = -47*j + 1. Calculate i(k(w)).\nAnswer: -141*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 497383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24651 + 15?\nAnswer: -24634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2)*(-38*h**4 + 10*h**4 - 17*h**4) + (-2*h**2 + 2*h**2 - h**3)*(1 - h - 1) + 2*h**4 - h**4 + 2*h**4.\nAnswer: -86*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 12 = 0, 0 = -h - 0*h + 4*q + 194. Let k be 1179\/h + -3 - 1. Let v = k - 19\/10. Which is the third smallest value? (a) -2\/5 (b) v (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + ((1*sqrt(180) - sqrt(180))*-6 + -3 + 3 + -2)**2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 1050.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 27*t + 20. What is c(-3)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -549 - -539. Is -9 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/66)\/(6120\/660)*45\/6.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12510716?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88777, 88778, 88779, 88780, 88781?\nAnswer: 88782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11006501 (base 7) to base 6\nAnswer: 32120012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31121?\nAnswer: 31121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.5 + -119574\nAnswer: -119570.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eighteen fifths of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 23*p. Let m(u) = -3940*u + 13. Give m(y(t)).\nAnswer: -90620*t + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a**2 - 3*a - 22*a**2 + 9*a + 13.\nAnswer: 2*a**2 + 6*a + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 4548, 6 in increasing order.\nAnswer: 6, 8, 4548","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-12)\/9)\/((-6)\/9). Let q(j) = 5*j + j**2 + 2*j**a + 3 + 2*j**2 - j**3. Is q(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5852467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 22608\/(-1368) - 16 - (-32 + 0)?\nAnswer: -10\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b - 3?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9704 - 4.\nAnswer: -9708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49\/244 - -3\/61. Which is the closest to k? (a) 2 (b) -1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3 - 10)*(-3*b - 3*b + 4*b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.5 and -0.65607263418296.\nAnswer: -1.15607263418296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 3:10 PM?\nAnswer: 11:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, b: 7}. Give prob of sequence be.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689290.\nAnswer: 2, 5, 7, 43, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of i**6\/72 + i**4\/3 + i**3 - 5*i**2. Let g(h) be the first derivative of o(h). What is the derivative of g(t) wrt t?\nAnswer: 10*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 - 9. Let m(v) = 36*v + 2. Is m(g) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1317*a = 1311*a + 24. Solve 3*n + n - q = -1, -3*n - a*q = -4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2213800076 or -2213800075?\nAnswer: -2213800076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -30 + (-48 - -20 - -36)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 235*j**2. Let n(k) = -224528*k. Give n(r(t)).\nAnswer: -52764080*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o\/o**1)*(o**(-4\/7)\/o)\/o*(o**(-3\/8)\/o)\/((o**(-17)\/o)\/o) assuming o is positive.\nAnswer: o**(899\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -238*n**2 + 41*n**2 + 195*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 w when four letters picked without replacement from wwwwwrwwwwwwwwwrwwrw?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168766161?\nAnswer: 3, 89, 632083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -23*i**2 - 53*i + 607. What is w(10)?\nAnswer: -2223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 161763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1947936974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185, 191, 197, 203, 209?\nAnswer: 215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-136))\/(((-1)\/(-2))\/(1112\/(-1668))).\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*x + 154*x = -2. Suppose 1 - 5 = -2*d. What is the third derivative of 245 - 245 + 5*t**x + d*t**5 wrt t?\nAnswer: 120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -17*y - 41 - 78 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -379414 less than or equal to -379413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 162712\nAnswer: -1\/162712","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.02 * -392314.4.\nAnswer: -7846.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 166 = -5*v. Calculate the least common multiple of 2 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-21)\/(-12)*2\/7. Let p = -25 + 25.1. Sort p, 0.4, n in ascending order.\nAnswer: p, 0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/39 in -0.5, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1110384, -1110367, -1110350, -1110333, -1110316?\nAnswer: -1110299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 2 y when four letters picked without replacement from {y: 4, s: 2, n: 5}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.12 - -723.88. Let z = s + -726. Is 3 at least z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.4 + 3469.48.\nAnswer: 3468.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.64 + -0.14. Let v = -1.6 + h. Let y = 2 + 0. Which is the smallest value? (a) v (b) y (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*(-1)\/(-3)*(-99)\/44. Let d(s) be the first derivative of 0*s - 4 + 3\/2*s**2 + 5\/3*s**g. Find the second derivative of d(f) wrt f.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-7) - (-80)\/70. What are the prime factors of k\/(1 + (-220)\/221)?\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -3 - (-57 - (-41 - -20)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53016*-4.\nAnswer: -212064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 63\/8, 2\/433, 57?\nAnswer: 2\/433","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -190*m + 61*m + 239 - 1013 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 (base 12) in base 4?\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000027442 to 7 dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 565 = -5*u, 2*v = -18*u + 14*u + 466. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -118eb + 39?\nAnswer: -118b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 3*w - 5. Let a be d(6). Calculate the greatest common factor of a and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1064)\/(-72))\/(-19)*-12807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*g - 3, 0*g + 5 = 3*p - 2*g. Sort 2, 13, p, 1 in decreasing order.\nAnswer: 13, 2, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4 + 2408\/(-4128).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -56\/69?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 19*f + 3 + 10*f + 4*f + 3.\nAnswer: -5*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 5*s - 67671, -p + 2*s + 16920 = s. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -3235120?\nAnswer: -3235133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/((-14)\/(-6)) - 1. Put o, 1, -4 in increasing order.\nAnswer: -4, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 24 = 4*z - 8*i, -i = 0. Let d(h) = 24*h - 67*h + 22*h + 10 + z + 23*h. What is d(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112123 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1940 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77603000?\nAnswer: 2, 5, 71, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ty when two letters picked without replacement from {t: 2, y: 8}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 5*u - 1. Suppose 0 = 5*g - 2*l - 7, 5*g + 33*l = 34*l + 16. Calculate the remainder when w(-6) is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2184 + 6184 = 10*c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63651999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274250 is divided by 3386?\nAnswer: 3370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 14 = 3*s - 11, 5*i + 5*s = -5. Suppose -5*m = -5, -3*f + i*f + 2*m + 4 = 0. Suppose -x - 4 = 0, -7*x + 3*x - 10 = 3*n. Solve -p + n = -f for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.1 - 6. Let m(t) = -t + 17. Let y be m(7). Suppose -y = 5*o - 30. Which is the closest to h? (a) o (b) -2\/9 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1))**(-20)*(k**0)**40 assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**13\/(a\/((a*a**(2\/9))\/a*a*a)) assuming a is positive.\nAnswer: a**(128\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9283 is divided by 23?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/(-25))\/(301\/(-430)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4*f - 9*f + 22 = 0, 4*f = -2*v + 16. Solve v*m = m - 5*q + 9, -m + 5*q - 17 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(60\/55) + (-10)\/6. Solve 9 = -g*w + 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 5. Let c be b\/(-3) + 0 - -1. What is the third derivative of -4*m**2 - 3*m**3 + m**2 + 0*m**2 + 0*m**c wrt m?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -6*u + 22. Let f(r) = 8*r - 7. Let n(t) = -18*t + 14. Let k(z) = 7*f(z) + 3*n(z). Determine 10*k(p) + 3*s(p).\nAnswer: 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11, -4, 53, 160, 317, 524, 781?\n\"Answer: 25*o**2 - 68*o + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -195*y**4 - 139*y - 834*y**3 - 374*y**4 - 7*y + 834*y**3 - 1 wrt y?\nAnswer: -6828*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43283 divided by 1?\nAnswer: 43283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 6 - 4)*(3 + 1 - 3) + 0 - 8 + 4)*(c**3 + 0*c**3 + 0*c**3) in the form z + h*c + w*c**2 + u*c**3 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y**3 - 4*y**2 + 2. Calculate i(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3038*x**3 + 908*x**2 = 0 for x.\nAnswer: 0, 454\/1519","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -3. Let v = -4.2 - -3.8. What is the third smallest value in v, 1\/7, p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 176 and 609257.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 s when two letters picked without replacement from {b: 6, k: 2, i: 1, r: 3, c: 2, s: 4}?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 66*f - 58*f - 48. Solve f*p = 2*p - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5754680 at least -5754684?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6639*v + 80474*v + 18788*v + 5221*v.\nAnswer: 97844*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(11) + 3*(sqrt(55)\/sqrt(5) + sqrt(11)))**2.\nAnswer: 541","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -198*p**5 + 16*p**3 + p**2 + p + 1?\nAnswer: -11880*p**2 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247 = i - k - 244, -16*i - 4*k = -32 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -2. Let k be (5 + -1)*(69\/(-12) + 7). Sort k, -2, g, 0 in decreasing order.\nAnswer: k, g, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*p - 18*p - 243 + 242.\nAnswer: 23*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16511079 is divided by 16511077.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1315793 by 167.\nAnswer: -7879","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82466 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2 - 67*u + 42. Let j be g(-16). What is the greatest common divisor of j and 207?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 20 = 20. What is the derivative of 44*g + 11 - r*g**3 - 44*g wrt g?\nAnswer: -30*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -12 + 5*j**2 - 6*j**2 + 1 - 11*j. Give z(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2757 - -6.7243. Sort 0.1, c, -2\/5 in descending order.\nAnswer: c, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2258 and -0.3.\nAnswer: -2258.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q. Let u(s) = 13*s**2 - 10*s + 15. Let y(i) = 2*i - 3. Let h(l) = -u(l) - 5*y(l). What is d(h(w))?\nAnswer: -13*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19996905 is divided by 1102.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36, -46, -138, -246, -376, -534?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2*b**5 - 102*b**4 + 11984*b**3 = 0.\nAnswer: -107, 0, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 4*sqrt(5)*2 + sqrt(5) + sqrt(5).\nAnswer: -5 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 25 = 2*p, 2*p - 5*m + 3*m - 22 = 0. What is the units digit of 5726\/10 + 2 + p\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -982653?\nAnswer: -982658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 233449397.69 minus -3?\nAnswer: 233449400.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -29 + 16 - (-2 + 18).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77914730 divided by -4.\nAnswer: -38957365\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 1269632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74696 is divided by 9333?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6}. What is prob of picking 3 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235375 is divided by 313.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 9184358.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -77 + 80. Factor -2*p**2 - 13*p**3 + 59*p - 1 - 35*p + z*p**2 - 11*p**3.\nAnswer: -(p - 1)*(p + 1)*(24*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44\/7 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -170, -181, -198, -221, -250, -285, -326?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 3*q**2 + 11*q + 1. Let c be a(-5). Put 6, -3, c, -5 in decreasing order.\nAnswer: 6, -3, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) -2\/17 (b) -12\/7 (c) -1\/4 (d) 0.047 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 + 5*s**2 - 6*s + 5. Let k be q(-6). Suppose -c - 2 = -k. What is the second derivative of -6*h + 3*h**3 - 2*h**c - 2*h + 9*h wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*(2 + -3) + 7. Sort -2, 4, b, -6.\nAnswer: -6, -2, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 4. Let b be 1\/5 - y\/10. Suppose -f = -b*f. Solve f = -4*u - 1 - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 4*x**5 + 2204*x**4 - 2212*x**3 - 2204*x**2 + 2208*x = 0?\nAnswer: -552, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -43793821*c**3 - 14343631 wrt c?\nAnswer: -131381463*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 1\/12*x**4 + 0*x - x**2 - 17\/12*x**5 - 23\/3*x**3 - 22. What is the second derivative of q(g) wrt g?\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.13 - -0.07. Let i = o + -0.4. Which is the closest to 0? (a) 5 (b) -0.5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011011 - -1001101000?\nAnswer: 1101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*y - 4*y. Let m be y\/18 - 1\/(-6). Which is the second smallest value? (a) 5 (b) m (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 89\nAnswer: 356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -197 + 201. Let y(f) = 0*f + i*f - f + 0*f - 2 + 2*f. Let b(t) = -9*t + 4. Determine 3*b(o) + 5*y(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence khca when four letters picked without replacement from hkhakancp?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + w)*(-3 - 2 + 3) + (-5 - 2 + 4)*(-2*w - w + 2*w) to the form a*w + h and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 5 = -4*u, 4*u + 28 = 2*r - 2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12283.\nAnswer: 71, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 - 2*g - 5. Let k(d) = 2*d**2 - 27*d + 40. Let u = -304 - -316. Let r be k(u). Give a(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tmtosstmcokm. What is prob of picking 1 m, 1 s, 1 k, and 1 o?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*o + 5*j + 215, 0 = 3*o - 4*j - 1482 + 1425 for o.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 295.54.\nAnswer: 886.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 463758?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156 - 2*p + 0*p**2 + 2*p**2 - 149 + 622.\nAnswer: 2*p**2 - 2*p + 629","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -83? (a) -3\/34 (b) -0.02 (c) -1\/5 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 446461\/42 + -10627. Find the common denominator of n and -38\/63.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2122 (base 4) to base 6.\nAnswer: -414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + (-20)\/25)\/(6\/100). What is the highest common factor of s and 220?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1175*w = 963*w - 102624 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = 96*f - 98*f + s, -3*f + 4*s + 268 = 0. What is the lowest common multiple of 99 and f?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 8. Let n = j - -41. Is 10 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 5, -3, 0 in ascending order.\nAnswer: -3, -2, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 34170 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r - 2*r**3 - 3*r**3 - r - 3*r.\nAnswer: -5*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 19 = -m, 3*m = 2*q - 3*q - 15 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 829333.\nAnswer: 397, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen fifths of a kilogram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000148 to five dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88 and 543512?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 4*l - 1075 - 2345, 0 = -3*l. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -4*a**5\/7 + 1276*a**4\/7 + 11812*a**3\/7 - 1276*a**2\/7 - 11808*a\/7 = 0?\nAnswer: -9, -1, 0, 1, 328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-2\/7))**(7\/5)*(k**(1\/5)*k)\/k*k**(-2))**24)**(2\/47) assuming k is positive.\nAnswer: k**(-192\/235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-210)\/(124\/248*(5 + -1)). What is the nearest to t in -5, -0.1, 0.5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -155*p + 327. Let g(o) = 2*o + 1. Let j(r) = -4*g(r) - h(r). Differentiate j(w) wrt w.\nAnswer: 147","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -51341 + -8?\nAnswer: -51350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449459?\nAnswer: 449459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/1871, 0.4, 2.2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 + 93. Suppose -2*u = -b + 1105, 6*u - 3*u = -z*b - 1635. What are the prime factors of 5*((-4)\/22 + (-12420)\/u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 6356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -9 - 3)*(-28 + (-135)\/(-9))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -679522583.04 - -1192\nAnswer: -679521391.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -22. What is g rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19 by 83.\nAnswer: 19\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (5 + -2) - 1 - (4 + -1) - 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, 44, -2, -3 in ascending order.\nAnswer: -3, -2, 1, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.35062525 - 12.55063107. Let f = -7.2 - i. Round f to 7 decimal places.\nAnswer: 0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 54*u**2 + 2*u. Let o be g(1). Suppose -o = -3*q - q - n, n + 61 = 5*q. Suppose 4*s - 83 = 5*x, 4*x - q = -s + 13. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of m**3\/3 + 7*m**2\/2 - 6*m - 7. Let r be k(3). Suppose -6 = 2*u - r. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v + 1. Calculate t(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, w: 5, k: 1, i: 1, j: 1, l: 5}. Give prob of sequence wl.\nAnswer: 25\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.12 (b) -5 (c) -2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (130\/(-10))\/(-39)*30?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 13*b - 6*b - 2)*(-48*b**3 + 15*b**3 - 25*b**3).\nAnswer: -464*b**4 + 116*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2\/8 - 825*k\/4 + 61425\/8 = 0. What is k?\nAnswer: -585, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 1:54 PM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/1284026552 and -89\/2.\nAnswer: 1284026552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000665 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 229064739 to the power of 1\/2, to the nearest integer?\nAnswer: 15135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 0*h + 0*h**5 + 0*h**4 + 0*h**2 - 1 - 20\/3*h**3 + 7\/3*h**6. What is the third derivative of b(a) wrt a?\nAnswer: 840*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -75, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 8*f**2 - 10*f - 1. Let x be t(-9). Let a = x - 2. What is the tens digit of 2 + a\/(-3) + 34?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + l**2 + l - 2. What is i(1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 2*b**3 - 2*b)*(5 - 11 + 21)*(7 - 4 - 4) to m + g*b + h*b**2 + p*b**3 and give p.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/801 and -40\/3.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k + 48. Let d(c) = -35*c - 50. Let n(y) = 3*y + 4. Let j(p) = 2*d(p) + 25*n(p). What is j(t(x))?\nAnswer: -20*x + 240","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/8770 and ((-1010)\/48)\/((-70)\/(-56)).\nAnswer: 26310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1.5, -249.15, 3?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 3234 = 8*o. Let m(i) = 8*i**2 + 462 - o. Let x(n) = 3*n**2. Calculate x(m(r)).\nAnswer: 192*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289612 is divided by 959?\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -39*n - 9. Let r(w) be the first derivative of 19*w**2\/2 + 4*w - 2033. Calculate -6*f(l) - 13*r(l).\nAnswer: -13*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -2*s - 2*k, 2*s + k - 43 = -53 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0 = 96. Suppose 3*r = 4*f - k, -15 + 3 = -4*f - 2*r. Solve 5*j - 4*i = -15, 0*j - f*j - 2*i + 15 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17675908541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 33\/5 of a decade?\nAnswer: 792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 538109?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 6*o + 3*a - 348, 5*a = -3*o + 196. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21212*p**2 - 59*p**3 - 42421*p**2 - 351 + 21210*p**2 - 2*p wrt p?\nAnswer: -354*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 90*y**4 - 139164*y**3 - 102134*y**2 + 49480*y + 37128 = 0.\nAnswer: -2\/3, 3\/5, 1547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -34266.67 rounded to the nearest 10?\nAnswer: -34270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 1 + 1)*(-232 - 267 + 932).\nAnswer: -433*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -8. Let a = 41 - 22. Let s = a - -1. Solve -f + 35 = c*q + f, -5*q = -f - s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -12*o**3 - 4*o**2 + 6*o + 5. Let y(r) = 25*r**3 + 9*r**2 - 13*r - 11. Let h = 2314 - 2327. Calculate h*k(j) - 6*y(j).\nAnswer: 6*j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*i - 1078 = -18*i - 19310 for i.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5631179, 11262426, 16893673, 22524920, 28156167?\n\"Answer: 5631247*v - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -31)\/58 + 0 + (-14)\/(-4). What is c in -65\/4*c**2 - 95\/4*c**3 + 95\/4*c + 15\/2 + 35\/4*c**m = 0?\nAnswer: -1, -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18493*g**6 + 2*g**2 + 116 wrt g.\nAnswer: 2219160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34363 + 4847. Suppose 27*g - 37*g = -t. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b**3 + 181*b**2 + 7*b + 7. Let w(j) = -4*j**3 - 181*j**2 - 6*j - 6. Determine 6*q(a) + 7*w(a).\nAnswer: 2*a**3 - 181*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 28.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -166 (c) -8\/7 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 356 or 176\/2659?\nAnswer: 176\/2659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2119 - -25489\/12. Find the common denominator of k and (-218)\/8*1\/5.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ba2e + 0?\nAnswer: 1ba2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2001 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 14921?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1983330607 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 6*b**3\/7 + 1332*b**2\/7 + 2640*b\/7 = 0.\nAnswer: -220, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-7 + (3 + 2 - 2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14 - (-4)\/(-16)*4. Let d(g) = -30*g + n*g + 18*g. Let q(r) = -2 + 3*r**2 + 2. What is q(d(l))?\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15372, 28609, 41846?\nAnswer: 55083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3 = -5*z. Let l(m) = 3*m**4 - 2*m + 4. Let r(q) = -3*q**4 + 2*q - 3. Let j(b) = z*l(b) - 4*r(b). Find the second derivative of j(h) wrt h.\nAnswer: 36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 538176*n**3 - 238769?\nAnswer: 1614528*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 11*l - 22. What are the prime factors of q(7)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 10) to base 2\nAnswer: -10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 4:47 PM?\nAnswer: 2:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282458 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {q: 4, t: 16}.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 424 a factor of 3866761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 49306*l - 49303*l - 3*s, -2 = -2*l + s for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5917236 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25 - -42) + 3 + -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 25*d**2 - 4*d. Let p(m) = 13*m**2 - 2*m. Calculate -13*p(w) + 6*y(w).\nAnswer: -19*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 178, 711, 1600, 2845?\n\"Answer: 178*p**2 - p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 37 = -5*f - 2*a, 29 = 2*f - 3*a for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 24456547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j - 5. Let u(x) = -x. Let i(q) = -3*q. Let p(h) = 2*i(h) - 5*u(h). Let v be 1 - (4\/(-6) + 8\/3). Let d(l) = v*s(l) + 3*p(l). Calculate d(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.904 + 7.90423402. What is g rounded to 6 decimal places?\nAnswer: 0.000234","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 12*l + 13*l - 38 = -w - 5*w, 3*w - 62 = l for w.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -7. Suppose -2*a + 3 = -g*a, -21 = -4*p + 3*a. Sort -4, p, 2 in decreasing order.\nAnswer: p, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -104189, -104191, -104193, -104195?\nAnswer: -104197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 7*j**2 + 6*j + 4. Let w = 217 + -373. Let s be w\/(-27) - (-2)\/9. Let a be z(s). Solve 0*m = m - 3*c + 5, -a*c + 3 = -5*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*r = 151*r + 104 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*s + 7*s = -74*s + 242. Suppose 15178 = 5*m - 21432. Let j = s - m. What is j rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, x: 5, i: 1}. What is prob of picking 3 d?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 t when three letters picked without replacement from {i: 1, e: 6, t: 11}.\nAnswer: 55\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 242327485 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3115401729?\nAnswer: 3, 11, 43, 919, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*r + 688 = 28*r + 1064 - 3228 for r.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 217970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 5*i**5 + 940*i**4 - 3845*i**3 - 940*i**2 + 3840*i = 0.\nAnswer: -192, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 3 = -f + c, -4*f - c = -29. What is the tens digit of ((-24)\/(-14))\/(f\/84)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55261*h + 55251*h - 165847*h + 3 + 55332*h - 3.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3600 is divided by 1081?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**4 + 67*t**3 + 33*t**2 + 4*t - 1438?\nAnswer: 24*t**2 + 402*t + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y - 37. Let m be s(-10). Suppose -m*x - 2*x = -1170. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((240\/(-54))\/10)\/((-1)\/9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/872 - 36179\/2616. What is the common denominator of 3\/45*3\/(-2) and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose -n = s*n. Is (2 + 53)*(n - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8\/(-5) - (-2)\/2 - (-104075)\/125 and 91?\nAnswer: 5824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -20285, -20471, -20775, -21191, -21713, -22335, -23051, -23855?\n\"Answer: f**3 - 65*f**2 + 2*f - 20223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -5*g**6\/6 - g**4\/12 - 508*g**3\/3 + 974*g. Find the second derivative of a(h) wrt h.\nAnswer: -300*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 98\/(-7)*(-27)\/6. Suppose -228 = -4*z - 4*b, -z + 0*b + 2*b + a = 0. What are the prime factors of z?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*z - 78*z + 63. What is the remainder when 120 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49653274?\nAnswer: 2, 11, 23, 98129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 144, 323, 572?\nAnswer: 891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.045? (a) 6\/61 (b) -0.1 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 6323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 8 + 4 = 0. Suppose z = 2*z + 1. Let m(d) = d**2 + d. Let i(j) = -3*j**2 + 4*j - 6. Let p(k) = z*i(k) - 2*m(k). Calculate p(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1375?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + 17 + -4 + (-49 - -47)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*q + 140*q - 49*q - 47*q + 329905*q**2 - 329911*q**2.\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 18 = t. Suppose 13*w = t*w. Suppose 0 = 2*i + 5*v - 43 + 10, 0 = 3*i - 5*v - 12. Solve -a - 2*a + h - 11 = w, -a - 5*h = i for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 8*j + 18. Let h be u(-11). List the prime factors of h + (-4 - (3 - 5)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 848. Let w = 12 + -12. Let z be p(w). Suppose -2*c + 219 = l, 0*l - 4*l = c - z. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 + -65. Let h = q - 61. Suppose h*z = 2049 + 729. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - t + 2*t)*((-3 + 3 - 1)*(2 + 6*t - 2) + (0 + 4 - 2)*(2*t - 27 + 27) + 3*t - 6*t + 2*t).\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*u**2 + 0*u**2 - 11*u**2.\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 704 = -2*l, -473*n + 942 = -469*n + l. What is the remainder when n is divided by 115?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10924893176154\/102172291067 + -16188514\/152923. Let q = y + -6\/8677. Let b = q - 7\/11. Which is bigger: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -42*a + 35. Let r(n) = -n + 1. Let l be -1 - (-9 + 4) - 3. Let s be (l - 18\/8) + 3\/12. Let x(b) = s*m(b) + 35*r(b). Let g(u) = u. Give x(g(z)).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -7 + 5 + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(28)\/sqrt(400))**2.\nAnswer: -293\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 7:47 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 771 + 385 + 20*k**4 + 377)*(-2*k - 1 + 1).\nAnswer: -40*k**5 + 2*k**3 + 18*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -2*f. Let j(q) = -83*q**2 - 2*q. Give p(j(x)).\nAnswer: 166*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 69120850.1 to the nearest 10000.\nAnswer: 69120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 2)*(-4 + -2)\/(-6). Suppose -3*d + 6 = 2*w - d, -4*w + d = -12. Sort -3, x, w in decreasing order.\nAnswer: w, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 398*w**2 + 5*w + 20 wrt w?\nAnswer: 796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -160*s + 561 = 135*s - 312*s for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 2919472?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23105215 is divided by 7701737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**4\/4 + 181419*b**3\/8 - 1542471*b**2\/8 + 90735*b = 0. Calculate b.\nAnswer: -30245, 0, 1\/2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 + 17. Let y be (-18)\/10 + 2\/(-10). Let w be -4 - (4 - 4)\/(0 + y). Put o, 1, 5, w in ascending order.\nAnswer: w, o, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/9 - 1136*l\/9 + 161312\/9 = 0. What is l?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -97, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s - n = 5*s + 29, -s - 9 = n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6072 - -6138. Solve 93*u - 104*u = -a for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 188150 and 2836825?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 10. Let t = -1.2 + 1. Which is the biggest value? (a) s (b) t (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32063 is divided by 32061.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7805, 7793, 7779, 7763, 7745?\n\"Answer: -l**2 - 9*l + 7815","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 122933764\/43 smaller than 2858925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 445065?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 17 = -14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 e when two letters picked without replacement from ymfmyhhhfhmeym.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 19 = 5*d, 4*v - 17 - 10 = -3*d. Find the third derivative of 2*o**2 + 0*o**5 + 5*o**5 - 3*o**d wrt o.\nAnswer: 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1033133113 - 32312?\nAnswer: -1033232031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 6*q - 26 + 82 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s + 83. Give g(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3345 (base 8) to base 15\nAnswer: 7ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55501125 - 69298875 = -20*x. Round x to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -262.0006 - -0.0006. Let r = 262.0388 + l. Round r to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b + -3224?\nAnswer: -3233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 400*w**2 - 315594*w - 4752. Determine r(789).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3577 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 12*q**3 - 199*q**2 + 112*q - 21. Determine f(16).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -97 + 26?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3*g = -1 - 17, 0 = g + 2. Let i be (m\/8)\/((-42)\/(-16)). Let b = -764 + 5336\/7. What is the third smallest value in b, i, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6138 is divided by 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*k = -2*k - 10, 25 = 2*z - 5*k. Suppose 5*f = 4*x + 25, -5*x - z*f + 18 = -7. Solve 0*d - 5*d = x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.77 - 2.77. Let u = -0.2 + 0.1. Let j = -0.19 - -0.19. What is the nearest to u in 3, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 4*z - 1. Let n(f) = -f**2 + 5*f + 1. Let m = 20 + -15. Determine m*c(h) + 4*n(h).\nAnswer: h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 12. Let n = m - -25. What are the prime factors of n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 11*k**2 - 17*k - 14. Let o be s(9). Sort 4, o, -6 in decreasing order.\nAnswer: 4, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -2 + sqrt(72) + -1)**2 + sqrt(72) + ((0 + sqrt(72) - sqrt(72))**2*3 - sqrt(72)) - (sqrt(6)\/(sqrt(6)\/(-2*sqrt(2))) + -1).\nAnswer: -70*sqrt(2) + 298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from ylylrttytyyw.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 44 (b) 1 (c) 4 (d) -12\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*j**3\/15 + 4*j**2\/15 - 16*j\/5 = 0.\nAnswer: -2, 0, 12\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 499 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 1. Let h(q) = 5*q - 5. Let s(i) = -4*a(i) - h(i). Let w be s(9). Is 86\/10 + w\/(-20) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 2*o**2 + 3*o. Suppose 3*c - 629 = -2*l, -4*l - 646 = -3*c - 41. Let b = 210 - c. What is t(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*t - 10. Let w(j) = 22*j - 6. Let x be w(t). Let q = x - 58. Is q a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 13*f**2 - 24*f + 23. Let x be b(11). Let v be x\/(-3) - (-11)\/264*-3520799992. What is v rounded to the nearest one million?\nAnswer: -147000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -5 + 9 + -19?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 9*w**2. Let h(u) = u**3 - 8*u**2. Let o(m) = 5*g(m) + 6*h(m). Suppose -4*v - 384 - 8 = 0. Let k = v + 101. Give o(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6452, -6465, -6496, -6551, -6636, -6757, -6920?\nAnswer: -7131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1107765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 12:54 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 342\/(-285)*(-10)\/(-16).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614*o + 296*o + 291*o - 180*o.\nAnswer: 1021*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 975\/8 + -122. Let s be 99\/231*(-2)\/(-3). Which is the third biggest value? (a) s (b) -2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5\/11 - 12*j**4\/11 + 6*j**3\/11 + 112*j**2\/11 + 96*j\/11 = 0. Calculate j.\nAnswer: -4, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.424 + 0.124. What is the third smallest value in 3, 2, -18, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-89)\/(7298\/1353)*((-32)\/12 - -3).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 4*o + 8, 0 = -4*k + 2*o + 321 - 325 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 969 + -160. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 23*r**2 + 78*r - 46. Determine x(-16).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.031 + -3.031. Sort -2, -1, x, 2\/5 in increasing order.\nAnswer: x, -2, -1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of 28*w**2 + 0*w**5 + 0*w - 2 + 0*w**3 + 169\/24*w**4 - 2\/5*w**6. Find the second derivative of d(y) wrt y.\nAnswer: -288*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/6)\/((-50)\/(-75)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-5) - (-24)\/5. Let g = -0.495 - 0.005. Which is the closest to 0.1? (a) n (b) g (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.092 + -25.612. Let w = -26 - s. Let o = -0.18 - w. What is o rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 7277 or 1\/3?\nAnswer: 7277","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3835602*v - 20008 = 3835114*v for v.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 141\/7*j**2 + 1587\/7 + 1725\/7*j + 3\/7*j**3.\nAnswer: 3*(j + 1)*(j + 23)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5850288 to the power of 1\/3, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36873 and 26028?\nAnswer: 442476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -10998?\nAnswer: -109a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1172\/9 + -130. Let o = -55 - -57. Let t = -1.3 + -3.7. Which is the closest to o? (a) -2\/3 (b) w (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7459, 7460, 7463, 7468, 7475, 7484, 7495?\n\"Answer: u**2 - 2*u + 7460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2)*5\/10*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**2 - 10*m + 7. What is i(7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -50*o + 0*o + 30*o + 1 + 3*o**2. Calculate j(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 1334*d - 4. Let n(m) = 6648*m - 20. What is 2*n(o) - 11*u(o)?\nAnswer: -1378*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1060 + 611. Let n = -422 - d. Calculate the smallest common multiple of n and 99.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 10*g**3 + 241*g**2 + 23*g - 34. Calculate t(-24).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 1293636.\nAnswer: 1293636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*w + 130*w**2 + 156674 - 15*w - 156660 as i*w + m*w**2 + g and give m.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*y = -53*y + 72 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 2*o = -3, 2*k = -12*o + 15*o + 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9297 + 66*k - 64*k - 18600 + 9322.\nAnswer: 2*k + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 0 = -w - 27, 0 = -5*j - 4*w + 39. Solve -3 = -i + v, -5*i - 2*v + j = v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 228 + -2503\/11. Let v = 36\/55 - h. Let x = -1 - -1.5. Which is the third biggest value? (a) 0.4 (b) v (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19650 divided by 404\nAnswer: -9825\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-125)\/30 + 1\/6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326, -570, -816, -1064?\nAnswer: -1314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -6*j + j - 3*j**2 + 3*j**2 - 3 - j**2. Let m be w(-4). Let s be (m - -2)\/(1 - 0). Which is smaller: 2 or s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2054743 is divided by 82188.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 435*x**2 + 9*x - 8. Let g be j(2). Calculate the greatest common factor of 50 and g.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101029870257882187\/820897802 - -8245851421\/67. Let g = z - -15\/4166. Let v = g + 326407\/64702. What is the common denominator of -25\/18 and v?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -230*f + 235*f. Solve 3*w = 7*w - z + 17, -2*z = -w + f for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133814 is divided by 44.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12010032102 - 12?\nAnswer: 12010032030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 1 - 0, 0 = -5*l - 5*z + 20. Let x(p) = -2*p + 8. Let c be x(l). Calculate the remainder when ((-3)\/9)\/(c\/(-210)) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 13. Let g = 1.5 + -2. What is the third smallest value in w, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1322 and 210.\nAnswer: 138810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 - -7. Let s be -1 - (-1 - p)*-1. Which is smaller: 0.2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6562*v**2 - 7090*v**2 - 6668*v**2 + 13106*v**2 to o*v**2 + m*v + h and give o.\nAnswer: -7214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57791184, 57791082, 57790992, 57790920, 57790872, 57790854, 57790872?\nAnswer: 57790932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 11:10 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 597.848l to millilitres.\nAnswer: 597848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 87 - 46. What are the prime factors of i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 2130?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - 1. Let f = 5.7 + -0.7. What is the third biggest value in f, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4502*b - 54517 + 1731 = 149804 for b.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f**2 - 435*f - 6504. Determine z(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (-5 + -14 - -16).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*c - 2*o = 50*c + 33, -20*c - 3*o = 2*o - 80 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6057 + 4?\nAnswer: 6063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16.1 - -390.9. Let h = t + -407.4. What is the closest to 2\/3 in h, 0.3, 17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 66715794?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oroo when four letters picked without replacement from orobroorooobr?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -11530227?\nAnswer: 10\/11530227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*m = 1155 - 1176 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115 (base 13) to base 14.\nAnswer: -d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70598?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2299, -2827, -3707, -4939?\nAnswer: -6523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-26)\/65*6\/(-8).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52.3986 - -7.\nAnswer: 59.3986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8828 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1407, -3111, -5461, -8781, -13395?\nAnswer: -19627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*u - 3768 + 3768 + 2*u + 0*u - u + (-3 - 2 + 2)*(3*u + u - 3*u).\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*i**6 - 8*i**5 - 719*i**2 wrt i.\nAnswer: 240*i**3 - 480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8708 divided by -7.\nAnswer: -1244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 3*v**2 + 4*v - 1. Let z be u(3). Suppose p - z = -m + 4*p, 2*m - 14 = 2*p. Solve -a = a + 2*h + 10, -m*a + h = 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91445*n**3 + 914470*n**2 + 823205*n + 180 = 0.\nAnswer: -9, -1, -4\/18289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 12639*j - 1504026. What is f(119)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80329.\nAnswer: 80329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-412 - 121 - 394 + 133)*(m + 0 + 0).\nAnswer: 1588*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3338\/3 - -1113. Let j be 3 + ((-189)\/(-4) - 3). Let n = -48 + j. What is the second biggest value in n, 1\/2, a, -2\/9?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.7 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2010?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.323 - -0.69. Let d = -0.027 + q. Let p = 0.6663 + d. Round p to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 + 6*m - 4. Let i(k) = k**2 - 5*k + 4. What is -5*i(h) - 4*o(h)?\nAnswer: 3*h**2 + h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-5)\/3*1\/1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.00781 - -0.99219. Which is the biggest value? (a) -4 (b) -5\/3 (c) -0.2 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lallllallllalalalll. What is prob of sequence lall?\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2558 = -2350. What are the prime factors of c?\nAnswer: 2, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 1.03\nAnswer: -5.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21883 is divided by 296.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*r**3 + 0 - 6 + 17*r**2 + 1 + 6 wrt r?\nAnswer: 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 0.01 (b) -9 (c) 1.102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 37*j + 64*j - 27*j.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-5)\/(-30))\/((-1)\/((-15)\/35))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 317 - 267. What is the remainder when y is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4707?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.1 (b) 4731 (c) 2\/5 (d) -4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3*t - 9*t + 4*t)*(80*t - 117*t - 4 - 45*t) as g + r*t + q*t**2 and give q.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y - 2. Let n(b) = -94*b - 18. Let j(d) = h(d) + n(d). What is the units digit of j(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10295241 and 311977.\nAnswer: 10295241","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 78 less than -92403?\nAnswer: -92481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188 + -56. Is k a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 111 + -115. Let i be 1\/((-63)\/6)*-3. Which is the nearest to 2\/3? (a) 2\/13 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*w**3 - 1224*w**2 - 2308*w + 384 = 0 for w.\nAnswer: -2, 2\/13, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dvd when three letters picked without replacement from vssvddwksv?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -739262 by -21743.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**6\/360 - d**5\/120 + d**4\/6 - 5*d**3\/6 - 2*d**2. Let q(r) be the first derivative of x(r). Give q(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + -1*sqrt(171) + -4))**2.\nAnswer: 378*sqrt(19) + 1980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2769 by 1.\nAnswer: -2769","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/(-20)*16\/(-18))\/(6\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 386*r**2 - 35484*r + 232. Determine v(-151).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r + 299 = 275 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, l: 5, x: 2}. What is prob of picking 2 x, 1 q, and 1 l?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5459 rounded to the nearest one hundred?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrkh when four letters picked without replacement from {c: 2, k: 1, h: 4, r: 1}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 14. Let v be (y\/8)\/((-6)\/(-10)). Sort -0.3, 6\/5, v in descending order.\nAnswer: 6\/5, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 19*t**2 - 2*t + 8. Let w be g(9). Let o = -71 + w. Suppose o*k - 4 = 4*f + 4*k, 2*k = -4. Solve -h - f = 2, 5*r - 24 = 3*h for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23175174 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*b - 14. Let n(j) = -22*j + 26. Let k be 195\/(-30) - ((-10)\/4)\/(-1). Let m(s) = 5*s - 6. Let o(r) = k*m(r) - 2*n(r). Calculate o(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.9 + -25.1. Let w = -87783039 + 87783010.0000015. Let l = w - b. What is l rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (6 - 4) + 0 - -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a week?\nAnswer: 67200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 8, f: 2, p: 9}. Give prob of sequence fpxf.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13054 + -13046. Suppose 0 = 4*n + 4, -i + 4*n = -6*i + 16. Suppose x + 0*x = -m + 28, -i*m + 20 = 0. What is the remainder when x is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120.51 + 120.5. Which is the closest to -3? (a) 3 (b) l (c) -4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -7688*k - 169145. What is w(-22)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-12)\/42)\/(-2)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -42183, -42184, -42185, -42186?\n\"Answer: -j - 42182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the second derivative of 4*i + 1\/6*i**4 + 1\/20*i**5 + 3\/2*i**2 + 0*i**3 + 0. Determine d(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-333*m - 325*m + 1 + 667*m - 18*m**2)*(2*m + 0 + 0).\nAnswer: -36*m**3 + 18*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 11*a + 8*a = 24, 0 = 2*p + 3*a. Solve -14 = p*m + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the first derivative of j**3 + 2*j**2 + 0*j**3 - 5 - 5*j**2 + 1. Let h(z) = 0. Calculate z.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5922417331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*l - 67. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {g: 3, w: 1, p: 1, b: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -1\/2, -0.11, 1 in descending order.\nAnswer: 1, -0.11, -1\/2, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 31\/5 of a decade?\nAnswer: 744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*a**2*k**3 - 54*a**2*k**2 + 134*a**2*k + 2*a**2 + 3099*a*k**5 + a*k**2 wrt k.\nAnswer: 66*a**2 + 185940*a*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00189195 rounded to five decimal places?\nAnswer: 0.00189","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4*(-12)\/(-32))\/(18\/(-12)). Sort -6\/11, 4, o.\nAnswer: o, -6\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 68*w**2 - 209*w - 1021. Determine v(-65).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42469542 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-105) + (-2)\/(-5)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 805849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 17*f**2 + 178*f - 246. Let d be q(24). Let m(b) = 7*b**2 - 7*b + 7. Let g(p) = -7*p**2 + 6*p - 6. What is d*m(y) - 7*g(y)?\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-2*sqrt(10)*-2)\/sqrt(2).\nAnswer: 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 6 = -3. Is u + 66*12\/9 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-564 - -561) + (22 - (1 - -4)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3. Suppose y = 2*o - 2 + 4. Let s be 1 + 4 + 2\/(-2). What is the nearest to -1\/2 in 2\/11, o, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 6*t**2 - 7*t - 9. Let k be 8\/36 + (-112)\/18. Let c be x(k). Calculate the least common multiple of 1\/(-5) + c\/15 and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1\/11 - 14\/33. What is the nearest to -3\/10 in 3\/7, 3, t, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -44*r**2 - 745226*r + 33874 = 0.\nAnswer: -16937, 1\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmumwumuluwutmmmfmmf. What is prob of sequence fwtw?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -21245452 (base 6) to base 3\nAnswer: -1011221011112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11\/2, 17\/7, -4, -2\/3, -1434?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 - h + 9. Let m(o) = -13*o**2 - 4*o + 37. Let s(u) = 9*j(u) - 2*m(u). Calculate the remainder when s(0) is divided by (-3)\/(-6) - -18*4\/16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 8:31 PM?\nAnswer: 7:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 6 + 1306*k + 21 + 869*k in the form z*k + v and give z.\nAnswer: 2175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*z - 26057 - 7019 = -476*z + 5633 for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 2088564.\nAnswer: -1\/522141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 17*f + 17. Let y be o(18). Let i = y - -7. Suppose -9*d = -12*d + i. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -667, -375, -83?\nAnswer: 209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a**(2\/81)*a))**(-3\/4) assuming a is positive.\nAnswer: a**(1\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 5) to base 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 2, x: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*l**2 - 23*l**2 + 3*l - 4*l + 37*l**2 in the form a*l + g*l**2 + h and give g.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-57)\/(-6) - 4\/8. Suppose -66 = -10*t + u*t. Calculate the highest common divisor of t and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (21030 - 13666*w**2 - 21030)*(-w + 0*w + 0*w) to the form t*w + i*w**3 + d + a*w**2 and give i.\nAnswer: 13666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225\/100 + 1835\/4 is divided by 1233\/18 + 7 + 6\/4?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**4 + 25*o**3 - 40*o**2 + 20*o.\nAnswer: -5*o*(o - 2)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -46*p + 3. Let f be x(0). Solve -m = 6*h - h + 20, 0 = 2*m - f*h - 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -170171639 and 0.3.\nAnswer: -170171638.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**5 + 2*v**5 - v**5 + (-2*v**4 - 2*v**4 + 3*v**4)*(-v + v - v) + (2 - 4 + 1)*(-4 - 2*v + 4)*(2*v**4 + 3*v**4 - v**4).\nAnswer: 10*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 332 and 3664118?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 21. What is the biggest value in 0, -11, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 3, -0.04, 0.2 in decreasing order.\nAnswer: 3, 0.2, -0.04, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 1)*(11*p - 5*p + 0*p) + 3*p - 4*p + 4*p + (p - 2*p - p)*(4 + 0 + 0)*(3 - 4 + 2) to the form d + y*p and give y.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 1\/3 (b) 0.3 (c) 4 (d) 4.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2732 + -1257. What are the prime factors of b?\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f**2. Let i(r) = 18437702*r. Determine i(t(w)).\nAnswer: 165939318*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 3. Let z = 9 - j. Let i = z + -8. Put i, 3, 1 in increasing order.\nAnswer: i, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -33 + 35. Let l be h\/(-8) - 255\/(-12). Suppose -35 + l = -2*u. Is 6 bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -114222 + 157?\nAnswer: -114043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2*-5.705\nAnswer: 11.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3017 and 3879?\nAnswer: 27153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p + 77*p - 51*p)*(-4*p + 2*p - p)*(2 + 2 - 2)*(-3 + 0 - 1)*(2*p + 3*p - 2*p)*(-2*p + 3*p + 0*p).\nAnswer: 2232*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxgwgxaxxxxaxaxa. Give prob of sequence gaw.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.04 - -0.07. Let a = t + 2.97. Let c = -1 - -1. Sort a, c, -1.\nAnswer: -1, c, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3718357 and 4708?\nAnswer: 163607708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - 2*w + 3. Let v(t) = -1 - 2 + t**2 + 0*t - t + 4. Let z(q) = 2*k(q) - 5*v(q). Let c(j) = 6*j**2 + 2*j + 4. Calculate -c(g) + 4*z(g).\nAnswer: -2*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + ((-4)\/(-44)*-24 - 1) and 13\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 16. Find the second derivative of -4*p**4 + 5*p**u - 8*p + p**4 + 6*p**4 wrt p.\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51748 divided by 1.\nAnswer: 51748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + g - 76, -2*c - 4*g - 21 = -85. Suppose 3*x - 24 - c = 0. Find the third derivative of 1086*b + x*b**4 - 1086*b + 15*b**2 wrt b.\nAnswer: 384*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f - 22*f = -275. Suppose k - 114 = 59. What is the remainder when k is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 4*l + 7. Let d be r(3). Suppose d*b = 2*k - 14 - 0, -2*k = 5*b - 23. Suppose -k*q + 2*q + 574 = 0. What are the prime factors of q?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j + 3299. Determine n(77).\nAnswer: 3376","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-2))\/(((-133)\/(-19))\/(-7)*88\/16)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 4, -7 = z - 3*x - x. Calculate the remainder when 132 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 - 36. Suppose 56801 = -d*o - 36999. Round o to the nearest one thousand.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/372)\/(407\/(-4884))*((-3)\/(-1))\/3?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 8 = -2*c, -84*c + 85*c + 10 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4524 + 1535176404.9\nAnswer: 1535180928.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 287.883 - 288. Let h = -1.393 + j. Let t = h + 1.24. Round t to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 78 = -7*a. Solve 2*n = 5*n + a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 8*p**2 + 10*p + 13. Let h be z(-9). Let o be (-1)\/(-1) + -2 - -4. Solve -q - h = o*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 22 + 21 + -10.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 195\/(-13)*1*(-8)\/20.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.8 - 2.2. Let y = -5 - j. Sort 4\/7, -1\/3, y in descending order.\nAnswer: y, 4\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1100).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21140)\/604*(-2)\/7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-3)*((-18)\/(-20) + -1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 141.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 1991?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3790*r**2 - 28*r + 30460.\nAnswer: 7580*r - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/3 + (-12)\/(-24))*2. Solve -l*i + 4 = -2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2821.533 litres?\nAnswer: 2821533","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**8\/6720 + d**7\/420 - d**6\/80 + d**5\/60 + 33*d**4\/4 + 4*d + 21. Let y(g) be the third derivative of v(g). Determine y(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2290852 divided by -118\nAnswer: 19414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.045 and -4?\nAnswer: 8.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -714680 + 7545591473\/10558. Find the common denominator of c and 149\/18.\nAnswer: 95022","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -4*d - 34, 5*q - d = 22 + 18. Let j = 17 + -14. Suppose 5*p - 4*p = -3*h + 20, -5*h - j*p = -32. Is q bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 107002*x - 1070034. Determine p(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -560.7 - -585. Round q to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122 = 4*i + 3*a + 117, 5*a = 5*i + 20 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(160)*-2*2 + sqrt(160))\/(sqrt(200)*-2*5) + -4.\nAnswer: -4 + 3*sqrt(5)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let -1\/2*a**5 + a - 1\/2*a**3 + 3\/2*a**2 + 0 - 3\/2*a**4 = 0. What is a?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2491 - 1279. Suppose -8 = -5*r + 7. Suppose -r*x + l = 6*h - 2*h, -2*h + 1606 = 4*x. What is x rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -153*f**4 + 3*f**2 - 1218 wrt f.\nAnswer: -612*f**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-30)*18\/16\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.33 times 1089881?\nAnswer: -1449541.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2172 - 0.3.\nAnswer: -0.0828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 102*u - 2259 = 0, w + 217 = -4*u + 126 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*(-8 + 11 - 8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 + 0.8. Let v = j - 0.7. What is the closest to v in 3, 2\/11, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = -99 - 86 + 173 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -429, -3942, -13449, -31956, -62469, -107994?\n\"Answer: -501*m**3 + 9*m**2 - 33*m + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -70.6, -13\/4, 4, -44, -2?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-5)\/450*-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -25?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112\/(-6)*50754\/(-44)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 141 - 139.964. Let r = -0.036 + j. Sort -0.6, 2\/9, r, -4 in decreasing order.\nAnswer: r, 2\/9, -0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 4:18 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 57 + 351 = 0. Suppose -p = -2*u - j, -3*u + 5*j = -7*u + 202. Calculate the highest common factor of 6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15639694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 8*u - 15. Let g(c) = -c + 1. Let r(p) = -6*g(p) - q(p). Is 12 a factor of r(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -13*z**4\/24 + 11*z**3\/6 - z**2. Let q(l) = -7*l + 6. Let g = -3 + -4. Let a = -13 - g. Calculate a*k(x) + 11*q(x).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 0*k**2 + 17*k**2 - 8*k + k - 18*k**2 + 2. Give g(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 30\/(-8) - 0. What is the second biggest value in b, 4, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 27608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*x**4 - 14605*x - 265441.\nAnswer: 84*x**3 - 14605","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22918511 * 0.3.\nAnswer: 6875553.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 10*z**2 - 3*z - 16. Let x be v(6). Calculate the highest common divisor of x and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 5\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 0. Find the third derivative of 2*j**2 + 2*j**6 - 5*j**a + 5*j**2 - j**2 wrt j.\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5957, -11966, -17983, -24008, -30041, -36082?\n\"Answer: -4*r**2 - 5997*r + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s = -3*s + 11. Let a(l) be the third derivative of -l**4\/24 - l**2. Let b(m) = 3*m. Give s*b(h) - a(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2307.\nAnswer: 3, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 97857299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(-25 - 23 + 50 - 116*k).\nAnswer: -116*k + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 11:41 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2\/7, 0.2, 3\/17.\nAnswer: -0.2, 3\/17, 0.2, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*z + 34 = 0, -o + 3*z = 12 + 2. Let x = -7 - o. Find the common denominator of 255\/(-174) - (-1 - x) and 51\/14.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 bigger than -70?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/5 + (-16)\/(-180)*-2. Let k(m) be the second derivative of 1\/63*m**7 + 0 - h*m**4 + 0*m**2 + 0*m**3 - 1\/9*m**6 + 4\/15*m**5 + 3*m. Factor k(j).\nAnswer: 2*j**2*(j - 2)**2*(j - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2938 + -1878. What is the hundreds digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2571144\/62 + (-114)\/1767. What is q rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a factor of 19195017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 2*a**2 - 5*a - 3. Let k be t(-3). Let g(c) be the second derivative of 0 - 1\/6*c**k - c**2 + c. Differentiate g(n) wrt n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -223*r**3 - 2*r**2 - 15. Let h(t) = -668*t**3 - 7*t**2 + t - 45. Let a(y) = 2*h(y) - 7*s(y). Find the second derivative of a(b) wrt b.\nAnswer: 1350*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*f + 3*f + 3*r, -5*f + 30 = -5*r. Suppose -f*l + 5*l = -388. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.42? (a) 56 (b) 9 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 29879.13 days?\nAnswer: 2581556832000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 2 + 2)*((1 - 1 + 2*j)*(2 - 4 + 3) + j - 6*j + 0*j) in the form r*j**2 + l + i*j and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69\/5 + 611\/45. Let o = -377198\/7 + 54040. Let d = o + -155. What is the second biggest value in d, z, -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11 + 6.89. Let v = -8 + h. Suppose 3*r + 5*y - 10 = 0, 3*r - 6*r = -5*y + 10. Which is the closest to r? (a) 1\/3 (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 13\/18 (b) -2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - sqrt(57)\/sqrt(12))**2*6.\nAnswer: 57\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 731135 + -3?\nAnswer: 731132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**3)**46)**(-29) assuming o is positive.\nAnswer: o**(-5336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-29)*w*(((w\/w**(-9\/10))\/w)\/w)\/w*w*(w\/(w\/(w\/(w\/w**28))))\/w*(w**(-9\/4)*w)\/w*w assuming w is positive.\nAnswer: w**(-47\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y + 56 = -4*v, y + 4*v = -8. Suppose 0 = 2*h - n - y - 2, 12 = 3*h - 3*n. Solve c - h = 4*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 12:45 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -29, -2, 113, -2\/17, -89, 1?\nAnswer: 113","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -39408 - -275855\/7. What is the nearest to 0.1 in -603, n, 4\/3, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 161 or 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38621 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -4*l**2 + 6*l + 2. Let u be 2\/(-5)*-1*10. Let g(s) = 3*s**2 - 5*s - 2. Calculate u*o(d) + 5*g(d).\nAnswer: -d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0 (b) 9 (c) 2\/9 (d) 1\/5 (e) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 - -29. Let n be 2\/(-3)*t\/4. Suppose 3*q = -3*x + 30, 0 = 5*q + n. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88059, 176111, 264163, 352215, 440267?\nAnswer: 528319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Do -9428 and -9426 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - -4 - 12) + -10\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -162*y + 40511. What is l(250)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 23*z - 4. Let p(h) = -67*h - 194. Give 3*j(n) + p(n).\nAnswer: 2*n - 206","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 4.79.\nAnswer: 2.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.217201507 to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(432) + -1 - (-2 + sqrt(432) + 0))**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 273?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1135700*c*h**2 - 2*c*h + 799*c - 200*h**2 - 8924*h - 3 wrt h.\nAnswer: 2271400*c - 400","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49535382?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*w = 168*w + 114 + 258. Suppose -2*g + b - 3 = -14, b + 19 = 4*g. Sort w, 7, -4, g in descending order.\nAnswer: 7, g, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -431, -885, -1339, -1793?\nAnswer: -2247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (256\/(-640))\/(8*1\/(-5))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13480, -14037, -14594?\nAnswer: -15151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -45*i - 6. Calculate the remainder when 72 is divided by z(-1).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 - 8. Let g = -11 - m. Let h = g + -1. Calculate the highest common factor of h and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/8, -3, -2, 138, 0.054, 9, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 8 = -3*a - 2*s, 4*a - 12 = 3*s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g - 5. Suppose -6 = -4*c - 22. Let t be c\/(-6) - (-22)\/(-6). Let y = t + 7. Give f(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 31465 + 9535. Round v to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -91755\nAnswer: -183510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 816?\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1918, -3804, -5662, -7492?\n\"Answer: 14*u**2 - 1928*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*r + 6*r - 111*r - 14*r - 169*r)*(69 - 92 + 108) to the form b + v*r and give v.\nAnswer: -23375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the second derivative of g**4\/12 - 17*g**3\/6 + 14*g**2 + 9*g. Let q be j(14). Sort 0, -2, q in ascending order.\nAnswer: q, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -420176*k*q**2 + 36*q**2 - 1007*q wrt k.\nAnswer: -420176*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.9. Let o = g - -3.4. Let r = -2 - -4. What is the third smallest value in -0.4, o, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*i + 647128992 - 647128992.\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**4 + 3*q**4 - q**4)*(2*q - 5*q + q) + (4*q**3 - 4*q**3 + q**3)*(-5*q + 3*q**2 + 5*q) - q + q**5 + q.\nAnswer: 6*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - g - 28. Suppose -10 = -4*z + t, z - 5*t - 14 = -z. Let p = z + g. Calculate the remainder when p is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 566, -4841, -10248, -15655, -21062, -26469?\n\"Answer: -5407*c + 5973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228585 to the power of 1\/2, to the nearest integer?\nAnswer: 1493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152 + 701 = 3*s. Suppose 0 = 4*g + s - 187. Let i be ((-2)\/3)\/(((-1)\/g)\/12). Solve 0 = 5*l + i - 33 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-36)\/15*((-330)\/(-4))\/(-33).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a meter in centimeters?\nAnswer: 840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.5, -31 in increasing order.\nAnswer: -31, -0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -4. Suppose -4*c + 13 + s = 0. Suppose 4*r - 21*g + 39 = -16*g, 4*r - 31 = -5*g. Sort 0, -4, c, r.\nAnswer: -4, r, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/8)\/(2\/44). Suppose -y*g = -5*g + 4398. Let u = g + 1200. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - 61. Let w = -62 - k. Suppose 3*s - s = w. Solve 2*v - s = -5*g - 3, -v - 3 = -2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-4)\/30)*44\/132?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3179 + 950523\/299. Let d = z + -10477\/1794. Find the common denominator of (16\/9)\/(-4) - 4\/36 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6 and 327.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115, 178, 253, 346, 463, 610?\nAnswer: 793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 5*w**2 + w + 6. Suppose -2*a = -4*a - 10. What is the units digit of k(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21383090, -42766175, -64149260, -85532345?\nAnswer: -106915430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**2 - 84*l - 160 = 0?\nAnswer: -40, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -7. Let z be 1\/((63\/4)\/(-1)). Let l = -50\/1197 + z. Which is the closest to p? (a) 1\/6 (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2, d + 4*i = -3*d + 4. Suppose -3*z = 6, -3*g + 0*z - 2*z + 170 = d. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -o - 32. Calculate the highest common factor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63563 is divided by 9898.\nAnswer: 4175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 817.791 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 4*w**2 + 7*w. Let p be t(5). Let d(k) = p*k**2 - 3*k + 3*k. Let l(n) be the third derivative of -n**4\/6 - 8246*n**2. Determine d(l(a)).\nAnswer: 160*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 9 = -2*y. Suppose y*q + 56 = 5*q. What are the prime factors of q\/35 - 372\/(-10)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28335009?\nAnswer: 3, 79, 119557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -1 + 102\/(-27) + (-152)\/(-38).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 - -26. Suppose f = 10*h - 11*h + 8. Suppose h*x - 651 = x. What is the remainder when x is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 6, 0, -7 in descending order.\nAnswer: 6, 0, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1512) - sqrt(1512))\/(sqrt(96)*-3 - sqrt(6) - sqrt(6)) + (-2*sqrt(7623))\/(sqrt(144)*5).\nAnswer: 13*sqrt(7)\/70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 43864717?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2625 and 1225.\nAnswer: 18375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8744 and 2360923720?\nAnswer: 8744","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 + 4 + 0 - 524\/(-4). What is the greatest common factor of 30 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -25*n. Let m(b) = 1536*b**2 + 12*b + 3. Let z be m(-2). Let x(s) = -s - 6123 + z. Give x(r(j)).\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3545?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 + 21. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 10*j - 5*j. Let z be j\/((-2)\/(-20)*2). Solve i + 2*g = -2*g + 20, z*i + g - 5 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.34 equal to 36\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2412151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert d5533 (base 14) to base 6.\nAnswer: 15004201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of g**4\/24 + g**3\/6 - 660*g**2. Let z(a) be the second derivative of 2*a**3\/3 - a**2 + 2*a. Determine -2*u(v) + z(v).\nAnswer: 2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 4*y - 28, 2*d = -14*y + 12*y + 26. Which is greater: 13 or d?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r. Let k(f) be the third derivative of 7*f**4\/12 + f**3\/6 - 18*f**2 - 9*f. Give k(y(q)).\nAnswer: 70*q + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (53 - 415 - 78 - 1911)*(0*m**2 + 0*m**2 + 2*m**2)*(3*m**2 + 3*m**2 - 5*m**2) to s*m + g*m**2 + z*m**3 + k*m**4 + a and give k.\nAnswer: -4702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**2 + 14*w**2 + 4*w**2 - 12*w**2 + 126. Let s(t) = t**2. What is h(s(r))?\nAnswer: 2*r**4 + 126","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-9)*s**(-2\/11)*s*(((s*s**(-6\/5))\/s)\/s)**21 assuming s is positive.\nAnswer: s**(-2991\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjhjjhjjj. Give prob of picking 2 j.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16974 and 222138?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46888 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1\/8, 0.3, -0.2, -0.02?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 4:18 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 386, 0.043, 2\/13.\nAnswer: 0.043, 0.1, 2\/13, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from okkuuuuoouokkukouu. What is prob of picking 3 o and 1 u?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 4*b + 4 = -4, -3*b = -5*t - 11 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 653 (base 11) to base 5\nAnswer: 11114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17.04 + -17. Let d = -0.004 + -0.0352. Let o = d + h. What is o rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of 1\/75*w**5 + 0*w + 1\/840*w**8 + 0*w**4 - 1\/100*w**6 + 2*w**2 + 0*w**3 + 0 + 0*w**7. Solve v(x) = 0 for x.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of -4*d**5\/35 + 10*d**4\/7 - 32*d**3\/7 - 20*d**2\/7 + 100*d\/7 - 51. Solve q(a) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/6762 and 5\/28?\nAnswer: 13524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/10)\/(23\/(-345)) - -18 - -2.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1678 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 1\/3*g**2 + 208 + 0*g + 8\/9*g**3. Suppose z(t) = 0. What is t?\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94047910 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = 29*q - 127 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 5933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 16*v**4 - 3*v**3 + 29*v - 3. Let x(t) = 31*t**4 - 5*t**3 + 57*t - 5. Let m(g) = -5*q(g) + 3*x(g). Find the second derivative of m(n) wrt n.\nAnswer: 156*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4 - 3*n**3 - 3*n**2 - n.\nAnswer: -n*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21901774 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/24*33\/(-110). Are 1 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*j + 3*j - j)*(-31 + 26 - 51) + 3 - 213*j + 27*j - 1 to i*j + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.6 + 25.6. Let z = s + -18. Let v be (-1)\/(-3) - (-22)\/6. Sort -0.2, z, v in decreasing order.\nAnswer: z, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*s - 16. Calculate the lowest common multiple of 8 - 1\/(1\/(-2)) and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85709 take away -11?\nAnswer: 85720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jffj when four letters picked without replacement from ijiijejfiiiifeijeij?\nAnswer: 5\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 27343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 509152*n - 509152*n + 14*n**3.\nAnswer: 14*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3983\/552 - -9\/184. What is the common denominator of 81\/34 and q?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -149.6 + 191. Let g = q - 39. Let f = g - 7.4. Sort 0.1, 3, 4, f in descending order.\nAnswer: 4, 3, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51 + 51. Suppose 4*v + 3 - 7 = f. Sort 0, 0.1, -3\/5, v in decreasing order.\nAnswer: v, 0.1, 0, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*s + 415 = -11*s. Calculate the remainder when 1\/5 - 39\/(-5) is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, z: 4, y: 4, c: 4}. Give prob of sequence cece.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -3*a**2 + 99*a - 2. Let v(j) = -2*j**2 + 100*j - 2. Determine -4*c(p) + 5*v(p).\nAnswer: 2*p**2 + 104*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 15 = -0*q, -5*d = 3*q - 40. Suppose -m = -0 - d, -3*m = 2*j - 3845. Suppose -2528 = -3*b + j. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 5:10 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-5 - (-42 + 78). Put 3, 1, 5, y in increasing order.\nAnswer: y, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3))**(-3\/11))**(-1) assuming q is positive.\nAnswer: q**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -2 - (-14)\/8 - 4086\/(-24).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47726432 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 0*n + 2*j = 25, 238*j - 243*j - 5 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*p - 2*p**3 - p**4 - 30*p**2 - 36*p**2 - 38*p**2 - 8 + 0*p**3 + 106*p**2 in the form o*p**3 + c*p + k + v*p**4 + l*p**2 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 3 + 3)*(-3 + 4 - 3) + 2 + 0 + 1)*(-86*o + 256*o + 167*o)*(1 - 3 + 4) to the form b*o + l and give b.\nAnswer: 3370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5269)\/22)\/(2*(-1)\/(-8)). What is the tens digit of d\/(-18) + (-22)\/99?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -12\/143 and 23\/10.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22 - 166 + 47)*(0*j**4 - 3*j**4 + 5*j**4) - j**4 + 8*j**4 + j**4 to b*j**4 + n*j**2 + z*j + d + c*j**3 and give b.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 55.10853 hours to days.\nAnswer: 2.29618875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/33 or 2915?\nAnswer: 2915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/6*(-20)\/(-6). Let g(m) = -2*m + 4. Let h be g(0). What is the nearest to -2 in a, -7, h?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -336 + 338. Which is the smallest value? (a) -1 (b) u (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + n**2 + 1. Let m = 901 - 866. Let g(v) = 5*v**3 + 7*v**2 + 7. What is m*l(t) - 5*g(t)?\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3))**28\/(j**(2\/17)*j*j*j\/(j**0\/j)) assuming j is positive.\nAnswer: j**(742\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**2 + 6*b + 6. Give t(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6243, -12584, -18923, -25260?\nAnswer: -31595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 4*y + 45 = 43, -u = 5*y - 3. Is (1 + -33459)\/(u*(0 - -1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 383348 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -364, 3785, 7968, 12185?\nAnswer: 16436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 58) + (4 - (17 + -7 + -8)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7407882.\nAnswer: 2, 3, 137183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 263871517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/4 + x\/4.\nAnswer: x*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11de2ee (base 15) to base 3.\nAnswer: -220012011011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaakaacfpkpk. Give prob of picking 1 a, 1 f, and 1 k.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 89142 divided by 1?\nAnswer: 89142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - u + 1 + (-5*u + 4*u + 2*u)*(-7 + 3 + 2) + (1 - 6 + 4 + (1 + 3 - 5)*(2 + 3 - 3))*(u - 3*u + 4*u) as a + r*u and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 19*s**4\/24 - s**2 - 358*s. Let d(j) = -20*j**2. Calculate x(d(t)).\nAnswer: -380*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 420\/(-20) - (0 + 1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30529111 + 17429111. What is d rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pueureryupyu. Give prob of sequence rre.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15990 in 1\/4, 2\/3, 340?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/20*10*1*2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2698 and 266?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -2*m + 198. Suppose -o + 5*c = 1, 2*o + m = 6*o + 4*c. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/(3\/42) + -2)*1. Solve 2*n + 0*w = 5*w + 15, -4*w = 5*n + a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17311.\nAnswer: 7, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + 34 + -80 + -34.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b85 (base 13) to base 12.\nAnswer: 8926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4240 and 48150500.\nAnswer: 192602000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/38 in -0.3, -1\/7, 2, -2\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1822, 3669, 5516?\nAnswer: 7363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 556, 834, 1114, 1396, 1680?\nAnswer: 1966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/1)\/(-3) + -1. What is the nearest to 1 in 2\/15, l, -2\/7?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a meter in centimeters?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 5*k - 594, 2*k + 3*d = k + 134. Suppose -k = 5*h + 138. Let x = h + 57. What is the nearest to -2\/9 in 0, x, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3651\/7 smaller than 521?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 81654772 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49519958 is divided by 70?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 20, -2*t - 433 = -4*c + 401. Let a = 432 + t. Solve -a*z + 6 - 1 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-152)\/(-6 + (-60)\/30).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + w - 108 = -w, 2*m - 2*w = 82. Suppose 0 = -j + 4*l - m, 2*j + 5*l = 4*l - 85. Let u be j\/(-8) - 1\/4. Solve 2*s - u = 7*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 6:52 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 550559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i**2 - 1. Let x(r) = -2*r**2 - 3*r. Let f(o) = 3*o**2 + 4*o. Let y(j) = 3*f(j) + 4*x(j). What is t(y(c))?\nAnswer: 8*c**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.415 + -7.415. What is the second biggest value in 2\/21, 0.5, y?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -948 = -2*u + 748. Suppose -3*a + 7*a - u = 0. Let f = a + -110. What is the smallest common multiple of 6 and f?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 5.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235866*z + 25 + 19 + 67394*z - 44.\nAnswer: -168472*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 = -5*b - 3*c, 2*b + 4*c + 35449 = 35389 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (39\/(-2) - -1)*-42. Let b be (2*1)\/(2\/s). Is b\/9 - (-4)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -10. Let a be (-1)\/3 - 10\/b. Suppose 315 = 4*v + a*v. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/28509 and -101\/427635?\nAnswer: 427635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/1992159 or 0?\nAnswer: -10\/1992159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -195.0147 - -195. Let y = g + 0.01. What is y rounded to 3 decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8.97 - -0.03. Let d = t + -9. Which is the nearest to 0.2? (a) -4 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 925*j + 4*t - 24 = 921*j, -4*j + 35 = -2*t + 11 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (3 - 5) + 0 - (-31 - -24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1781?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 19. Let h(i) = 0*i - 2*i + 0*i + 4 + 2. Let l be h(8). What is the units digit of c(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(39)*4 + (-2*sqrt(351) - sqrt(351)))\/((1*sqrt(6)*5)\/sqrt(2)).\nAnswer: -13*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6\/17)*x\/(x*(x\/x**3)\/x))**11 assuming x is positive.\nAnswer: x**(495\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 83562 and 1539?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 25*w**2 - 29*w - 10. Is l(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186 + 186 + 133*o.\nAnswer: 133*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 - 7587*v - 8088850\/3.\nAnswer: (v - 23111)*(v + 350)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15da - -4d22?\nAnswer: 3737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101065 is divided by 591?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 6. Let t(n) = n + n - n + i. Let l(m) = -2*m + 2 - 2. Determine t(l(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*y = 2, 4*x + 3*y = -2*y - 8. Let a be (-46)\/(-6) + x + (-4)\/6. Let o be 1\/((2\/4)\/((-2)\/4)). Put a, -2, o in ascending order.\nAnswer: -2, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426 divided by -5.\nAnswer: -426\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.7, 0.3, -4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 2:11 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34894 is divided by 2904?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17062 and 1406?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18383106029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6216 - -6302. What is the greatest common divisor of i and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 t when two letters picked without replacement from tccttctttccttlcccl?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -4*p**2 - 5*p + 5. Let c(o) = 13*o**2 + 14*o - 14. Give 3*c(i) + 8*q(i).\nAnswer: 7*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 2676.379.\nAnswer: 2674.379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.00618 and -340.\nAnswer: -2.1012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 16) to base 3.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 2265 = -655. Let p = 242 + n. Calculate the highest common factor of p and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -14 + 7 - 2*(-6 - 190666) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wl when two letters picked without replacement from {w: 1, l: 1, o: 1, u: 9}.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55298713 rounded to 3 dps?\nAnswer: -0.553","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*t - 98*t = 0. Let m(b) = b**3 + 2*b**2 - 3*b - 3. Let f be m(-2). Solve 4*q + f - 15 = t for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**5\/20 + 5*h**4\/12 - 17*h**3\/2 + 3*h**2\/2 + 21*h - 2. Let f be w(-10). Let t = -20 + 33. Are t and f equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11682 is divided by 94?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10378064 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002583 rounded to six decimal places?\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 89 + -87. Factor 11*a - 3 - 19*a + 11*a - a**m + 1.\nAnswer: -(a - 2)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2384 divided by 596\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 + 33*n + 137. Calculate v(-29).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 68 = 2*q + 4*k, 59 = 3*q + k. Let t be ((-6)\/q)\/(3\/(-21)). Suppose -2*p = -3*l - t*l + 235, 4*l - 206 = -2*p. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -4*t**2 + 104*t + 106. Let f(o) = 29*o**2 - 727*o - 741. Let u(j) = 2*f(j) + 15*y(j). Find c such that u(c) = 0.\nAnswer: -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5494 + 5497. Let m = 1 - -3. What is the nearest to b in -5, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 + 6*p - 5. Let t be j(5). Let n = t + 8. Suppose 4*v - 5*r - 20 = 0, -3*r = -2*v - 0*r + n. Solve 5*s + v = 3*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 2\/17, -219663 in descending order.\nAnswer: 2\/17, -28, -219663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.23041km in centimeters?\nAnswer: 5823041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20 - 1785\/(-84))*4. Solve -o = -n + 2 - 1, n - 2*o = x for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k**4 - 2*k**4 + 4*k**4)*(2 - 1 + 0) - 3*k**4 + 8*k**2 - 4*k - 8*k**2.\nAnswer: -k**4 - 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 6*u + 7*u - u for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + (sqrt(90) + sqrt(90)*-2)*2 - sqrt(90))\/(sqrt(125) - -3*sqrt(125) - sqrt(125)))**2.\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2189.980268 and -102521.\nAnswer: -104710.980268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.7 + 1.6. Let f = -11 + r. Let k = 0.3 + f. Which is the third smallest value? (a) -5 (b) k (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 398785, 797550, 1196287, 1594984, 1993629, 2392210?\nAnswer: 2790715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wwwwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/7*276 + 12\/28. Let n be 38\/14 - y\/(-13). What is the closest to n in -2, 3, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40593 and 146811?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 14.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - z)*(0 - 2*z + 0) + 0*z**2 - z**2 - z**2 + 3*z**2 + z**2 - 6*z**2 + (-3*z + 0*z + 5*z)*(-z - 3*z + 2*z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (2 + -3 - -2). Let c = i - -3. What is the highest common factor of 63 and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20388 or -20106?\nAnswer: -20106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -217 and -5.\nAnswer: 1085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of -9*g**4\/4 - 57*g**2\/2 - 28*g. Differentiate q(c) wrt c.\nAnswer: -54*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z + 252. Let a = 218 - z. Suppose r + r + a = 2*n, 3*n + 4*r = 173. Calculate the remainder when n is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ammddcgn. What is prob of sequence an?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02610579022 to three decimal places.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j*j*j**(-5)\/j*j))\/j)**19*j\/(j**22*j)*j\/(j\/j**(1\/16)))**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 31894831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4289.8027 - -4288. Let z = o + 1.8. Round z to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4436 + 4074. Is x bigger than -1085\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -30, 3, -9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 188 = -1544. Suppose 0 = -3*j + 76 + b. What is the greatest common divisor of 16 and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 222280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 495 (b) -0.1 (c) 1744\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-7 - (-7 - 1)) - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 50867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 66 + -5708.\nAnswer: -5642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -5. Suppose 0 = -3*n - v*n + 9. Let y(x) = -2*x - 10 + 14 - 4*x. Calculate y(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3 - 22) + -132 + (71 - -43).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -3*s + 13, 5*z + 3*s - 6 = 2*z. Let j be 1 - 3 - (3 + -1). Which is the closest to -1? (a) 5 (b) j (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 9*l**3 - l**2 - 2*l + 3. Let p(q) = q**2 + 8*q + 2. Let y be p(-8). Is v(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -191*b + 182*b. Suppose -3*h - 2 = -5, -5*h = 3*m - 5. Suppose -v + 4 + 1 = m. Put b, v, -3 in descending order.\nAnswer: v, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.3 times -402616?\nAnswer: 4549560.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 441271 a multiple of 241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1932480 divided by 58560.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 19, 4, 2, -69 in descending order.\nAnswer: 19, 4, 2, -4, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 11.91. Let y = -0.11 - n. Which is the third smallest value? (a) 3 (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y**5\/2 + 4722*y**4 + 1003933*y**3\/8 - 1752005*y**2\/8 + 370475*y\/4 = 0. Calculate y.\nAnswer: -1022, -29, 0, 5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 5*v = -32 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -5*u + 1 - 3 + 1 - 10. Let s be n(-3). What is the derivative of 2*w**2 + w**2 - 10*w**2 - s + 0*w**2 wrt w?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 210507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 7. Give q(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*u = -6*u - 1077, 1073 = 5*h + u. What are the prime factors of h?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1790777327?\nAnswer: 193, 9278639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 410911294 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.24 - -0.3. Let g = 3.06 - b. Let x = -4 + g. Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i*i**1))\/i)\/i)\/i)**(-19)*(i**0*i)**(-25)*(i*i**(1\/5)*i)\/(i**(-3)\/i*i)*(i**(-1\/3))**6 assuming i is positive.\nAnswer: i**(271\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14197\/30 + -1387\/3. What is the common denominator of k and -127\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = 4*b. Suppose -15 = -3*u, f + 4*u - 18 - 2 = 0. Let g be 33\/594*(f + 0 + -4). Sort g, b, -1, -2\/21 in decreasing order.\nAnswer: b, -2\/21, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -40. What is the highest common divisor of 4 and l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -21824974 and -5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 5*m - 8, 0 = -5*k - 4*m - 3 + 2. Let x = -175823 + 175834. Solve -2*j - j = 5*f + 12, -2*j = -k*f - x for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 7 - 1 + 0 - 2 + 0 + (3 + 0 - 2)*(2 + 0 - 1))*((0*r + 2*r**2 + 0*r)*(-5 + 0 + 6) - 36*r**2 + 17*r**2 - 21*r**2) to k*r + i + d*r**2 and give d.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 188.1614mm?\nAnswer: 18.81614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -175405 divided by -35081?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*z - 17693, -2*f = -46 + 32. What are the prime factors of z?\nAnswer: 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -7*n**3 + 5*n**2 + 4*n - 4. Let u be d(-1). Solve -v + 3 = -u*q - 6*v, 0 = 5*q + 5*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + -6 - 1) + (-7 - 2) + 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 213 and 3266.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -782 + 780 + -96 + -8.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -1\/659?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -60, 9, 5 in ascending order.\nAnswer: -60, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 118151021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -4*w + 94. Let i be (-6)\/w*10\/(-3). Suppose -4677 = -5*j - 4682. Which is smaller: j or i?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 236\/7 - (-6)\/21. Let f(s) = z*s + 28*s + 7 - 66*s. Determine f(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5756 + -5627. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*m**2 + 2*m - 7*m + 16 - 35*m - 67*m**2 - 14*m**3.\nAnswer: -2*(m + 2)**2*(7*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*k**2 - 30*k**2 + 26*k - 7*k - 80 + 11*k**2 wrt k?\nAnswer: -6*k + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + (-5 - (7 - 8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 61317941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 5000*f. Let s(u) = -17*u**2 + 14. Let w(q) = -24*q**2 + 20. Let d(b) = 10*s(b) - 7*w(b). What is d(a(k))?\nAnswer: -50000000*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 222.74 and 4?\nAnswer: 890.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 6*g**2 - 6*g + 4. Let w be (20 - 13) + 0 + 0. Let o be a(w). What is the greatest common factor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 + 3*u + 3. Let x(b) be the third derivative of 1\/24*b**4 + 1\/6*b**3 + 0*b + 15*b**2 + 0. Suppose -2*g - 12 = 2*g. Give g*x(w) + t(w).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -r**4\/4 - r**3 - r**2 - 4*r + 2. Let n be z(-3). Find the third derivative of -5*c**4 + 7*c**4 - n*c**2 + 3*c**2 wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-27)\/(29 + -20)*(-266)\/(-21).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100101001111 - 10?\nAnswer: 1100101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98308?\nAnswer: 2, 7, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0099 + 41.4099. Let q = 42 - m. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2*j**2. Let g(b) be the second derivative of 3*b**2\/2 + 2*b. Let i(o) = o + 5. Let r(d) = 5*g(d) - 3*i(d). What is x(r(f))?\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00147654 to five decimal places.\nAnswer: 0.00148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -250106.\nAnswer: 5\/250106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**2 - 3*p + 5. Let y be h(3). Let t = y - 175\/3. Let x = 0.153 + -0.253. Which is the third biggest value? (a) x (b) 3 (c) 0 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 526 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/12)\/(91\/(-2275)) + 18\/(-8). Let l(x) = -15*x + 60. What is l(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27988063, -27988061, -27988059, -27988057, -27988055, -27988053?\nAnswer: -27988051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 26*a**2 - 44*a + 129. Let l be d(3). What is the closest to l in -1, 0.2, -0.2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8.43 + -17.43. Which is the smallest value? (a) -3 (b) i (c) -2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4993607?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2031?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 5*p + 6. Let d(g) = -1. Let m(k) = k**2 + 8*k + 10. Let s(x) = -4*d(x) + m(x). Let n be s(-7). Calculate q(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4*-3*(sqrt(405)*6 - sqrt(405))*4 + -3).\nAnswer: 6 + 4320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30100763 + 0.08383.\nAnswer: 30100763.08383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 16, -13, -4, 36?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-222)\/6)\/((1\/2)\/((112\/(-16))\/(-7)))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 19*a - 24*a + 6*a.\nAnswer: -39*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-218*a**4 + 181*a**4 + 132*a**4)*(211 - 224 + 148) in the form r*a**3 + t + y*a + f*a**4 + q*a**2 and give f.\nAnswer: 12825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5710 (base 11) to base 10.\nAnswer: 7513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -111 - -114. Suppose -b*l + l = c - 305, 2*l = -2*c + 308. Calculate the remainder when l is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 23 = -k + h, 3*k = -h + 12. Suppose k*o - 2*x + 212 = -0*o, -4*x - 164 = 4*o. Let z be ((-315)\/o)\/((-6)\/(-8)). Solve 0 = 5*i - 15 - z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 734008538?\nAnswer: 2, 43, 8534983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyazcazawwchccz. What is prob of sequence ycch?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 9999 a multiple of 95?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 252 and 53640.\nAnswer: 375480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -33\/69694?\nAnswer: -33\/69694","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2*20\/(-35)*(-21)\/6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*t - 131*t + 35*t + 33*t + 25*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14*m*o**3 + 3*m*o**2 + 2*m*o + m + 48 wrt o?\nAnswer: 42*m*o**2 + 6*m*o + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*s - 8*s - 8*s)*(-2*s - s**3 - s**3 + 0*s) to the form m*s**2 + o*s + j + p*s**4 + y*s**3 and give m.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7558 + 7562. Solve 22 = -7*t - h*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 3*d**2 - 44*d - 17. Let t be f(10). What is the highest common factor of t and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1373455 by -1.\nAnswer: -1373455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -o - 4, 3*c - 8 = o. Solve c + 0 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 + 148\/(-8)*-2. Suppose -3 = -l + b. Factor 93*c**2 - 60*c + 13*c**5 + 11 - l*c**3 - 19*c**4 - 2*c**4 + 1 + 2*c**5.\nAnswer: 3*(c - 1)**3*(c + 2)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.27, 0.5, -4667, -0.05?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10292412 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1610477 * 878.\nAnswer: 1413998806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 2, -13, 12 in ascending order.\nAnswer: -13, -1, 2, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 5*q**2 + 14*q + 22. Is o(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l**3 - 26*l - 13. Let h be y(-12). Factor 28*f**3 - 6*f**4 - 10683*f - 6*f**4 + h*f.\nAnswer: -4*f*(f - 2)*(f - 1)*(3*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 3:02 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -16*a + 12*a - 2146, 0 = j + 5*a + 697. Suppose 5*n - 221 = w, 3*n = 3*w - 5*w - 468. Let t = w - j. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of 56*r + 1\/6*r**4 + 2 + 15\/17*r**2 + 31\/51*r**3 + 1\/170*r**5. Find w, given that q(w) = 0.\nAnswer: -15, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.4 (b) 0 (c) 182109\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -32. Let g = -37 - o. Solve g = 3*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 198 - 5?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 + 0)*(-434*h + 189 + 432*h + 11).\nAnswer: -4*h + 400","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207 is divided by 59?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-428)\/(-3420) - (-29)\/551).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 59. Is g a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 147\/5?\nAnswer: 147\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-10) + (-22)\/(-55).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from zxxxsumzumszumux?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8333817?\nAnswer: 3, 29, 95791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/45 + (469\/(-420) - -4)?\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of -g**4\/4 + 7*g**3\/3 - 7*g**2\/2 + 2*g + 37. What is f(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*p - 43*p + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**2\/2 + 5*c - 2. Let a(z) = -6*z**2 - 27*z - 10. Let u be a(-4). Suppose -14 = -u*i - 3*o, 0*i = -3*i + o + 21. Give q(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -20*t. Let u(z) = -z**2. Determine u(y(j)).\nAnswer: -400*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -81.2552?\nAnswer: -24.37656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-42)\/(-140)*20?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16511030417 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = -84. Suppose -q*a + 25*a = 0. Let k(h) = h**2 - h - 10. What is k(a)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**2 + 20*t - 31. Let l(s) = 13*s + 21. Let y be l(-6). Let r = y + 76. Is u(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -3761.4171\nAnswer: -3766.4171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 65, 5, 427 in descending order.\nAnswer: 427, 65, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51251 is divided by 1385.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 77136, -2\/3, -52, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**2 - 7*a - 15. Let j be s(-3). Which is smaller: j or 6\/35?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + 1\/1*1. Suppose 2*d + 3*f - 6 = f, -3*d = i*f - 5. Let n(k) = 7 + d*k**2 + 7 - 14. Let l(w) = 3*w. Calculate l(n(q)).\nAnswer: 15*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 361 and 0.3.\nAnswer: 361.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:38 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 376, 3060, 10338, 24508, 47868, 82716?\n\"Answer: 383*n**3 - n**2 + 6*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u**(-2\/19)\/u)*u**(-2\/51) assuming u is positive.\nAnswer: u**(2002\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 - 3*u**2 - 1. Let s be w(4). Suppose -14*d - 20 = -s*d. What is the greatest common factor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 536 divide 540696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17105 and 128315.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of 13*x**9\/56 - 47*x**5\/60 - 23*x**2 + 42. Let n(k) be the second derivative of q(k). Find the third derivative of n(f) wrt f.\nAnswer: 14040*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 2*g + 5*y, 103*y - 102*y + 6 = -4*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.4 + -2.365. Let h = i + -0.03315. What is h rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.0671?\nAnswer: -0.2013","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1430 - -1571. What is the highest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*x + 9 = 0, 2*o + 4*x = o + 12. Suppose o*j = 2*y - 4*j - 280, -5*y + 672 = -3*j. Calculate the lowest common multiple of 12 and y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 302 - 459. Let l = m + 222. Suppose 2*f - 140 = -3*f - z, -z + 5 = 0. Calculate the remainder when l is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 11*y - 6*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002187685464 to seven decimal places.\nAnswer: -0.0002188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 3:56 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0121127 rounded to 5 decimal places?\nAnswer: 0.01211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 82*h**4 + 0*h**3 - 6 - 84*h**4 + 3 - 2*h**3 to the form m*h**3 + p*h**4 + f + w*h + a*h**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 0 + 0)*(-2*c**2 - 2*c**2 + 3*c**2) - 3*c + 3*c - 2*c**4 - 1462*c**3 + 23 - 416*c**4 + 460*c**4 + 1461*c**3.\nAnswer: 43*c**4 - c**3 + 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3926, -2\/7, 3, -0.5, 4\/3, -1, 0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 188 = 69*o + o, l + 14 = -11*o + 12*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 74.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(1225)*1 - sqrt(1225) - sqrt(1225))*-3)\/((3*sqrt(77) + sqrt(77))\/sqrt(11) - sqrt(70)\/(-2*sqrt(10))))**2.\nAnswer: 11200\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-192)*(30\/(-14) + (-9)\/(-6))\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81 + 80 = -2*y - 5*k, 3*y - 30 = 2*k for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1133\/2 - 12\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4456)\/(-132)*(-1 - 8). Let m = x + 304. Let h be ((4\/6)\/2)\/1. Put 0.2, h, m in descending order.\nAnswer: h, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1581 divided by 1581.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 plus 0.0218?\nAnswer: -0.0082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1380 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does -8\/31001 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -5\/4012?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 + -48 + 70 + 14.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 - 4\/(12\/9) is divided by (-8)\/(-14) - ((-1981)\/49 + -7)?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*x - 57 + 57)*(-69*x**2 - 107*x**2 + 140*x**2).\nAnswer: 468*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143.5693 nanometers to micrometers.\nAnswer: 0.1435693","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -94 - -97. Factor -700*s**2 + f*s**3 + 3*s**3 + 58*s + 22*s - s**3 + 740*s**2.\nAnswer: 5*s*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 14373.62086 + -14373. Let s = -0.614 + w. Round s to 4 decimal places.\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7e + -4?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 708 is divided by 23?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1431.8333 and 0.149.\nAnswer: -1431.6843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (3 + (3 + 5 - 81) - 9).\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01711 times -143.11?\nAnswer: 2.4486121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 12882?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 - 1\/(1 + -2). Let a = 1 + n. Which is greater: a or -1\/6?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/5? (a) 12 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.233081643 to four dps.\nAnswer: -0.2331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 11) in base 3?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-6)*18\/(-4))\/(8*27\/(-7776))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a + 13683*a**2 + 2*a - a**3 - 6 - 13686*a**2 as p + f*a + c*a**3 + t*a**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46, -4, -306.\nAnswer: -306, -46, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**9\/504 - 37*p**5\/120 + p**3 - 25. Let g(y) be the third derivative of d(y). Find the second derivative of g(a) wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 292454 and 246450?\nAnswer: 3286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3856)\/6*306\/(-136). Suppose -g + 1663 + r = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1b7276 (base 12) to base 3.\nAnswer: -220212100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -11*t**2 + 5*t. Let r be ((-258)\/(-4))\/(-43) - ((-2)\/4 - 3). Let l(k) be the first derivative of -25 + 0*k + 1\/2*k**r. What is l(c(w))?\nAnswer: -11*w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 412216?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*c**3 - 43*c**2 wrt c.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -325397, -650725, -976067, -1301429, -1626817, -1952237, -2277695?\n\"Answer: -p**3 - p**2 - 325318*p - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 0*w + 2*w = -5, -4*d + 2*w + 14 = 0. Let x be 0 - 4\/(d\/1). What is the units digit of (-2 + -2)*1\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - (-2424)\/60. Calculate the greatest common factor of a and 260.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*v + 25*v. Let r be (v\/2)\/(-3) + 24*1. Calculate the greatest common factor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -50*t*x**3 - 1730*t*x**2 + x**3 - 22696 wrt t.\nAnswer: -50*x**3 - 1730*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 514219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 98.3341848 rounded to one dp?\nAnswer: 98.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 3 + 0 + 559*m + 0 + 4 as z + l*m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-19)\/h)\/(h\/h**13) assuming h is positive.\nAnswer: h**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 14052224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21896 = -237*q + 241*q + 4*p, -4*q + p + 21886 = 0. What is the greatest common factor of 285 and q?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24903 is divided by 58.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5969 is divided by 247.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -0.09328607.\nAnswer: 0.10671393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*t = 100*t + 34 + 110 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11751*k + 11755*k = -r - 25, 0 = 4*r + k + 100 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-7))\/(25\/175)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/3 - 0)\/1. Suppose -5*o + 494969315 = g*z, 5*z + 296981555 = 4*o - o. Suppose -4*v + o = -26206140. What is v rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(-6)\/9*(-10)\/4. Solve -r + k*c = 2, -2*c + 3 = 1 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 12224 - 46671. Suppose v = 7*x - 5686. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m. Let x(p) = 25*p + 5. Let k(v) = -13*v - 3. Let y(f) = -5*k(f) - 3*x(f). Determine y(i(l)).\nAnswer: -30*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/21)\/((-3)\/((-81)\/(-18))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s + 9. Let f be k(2). Let g(z) = -4*z**3 + 2*z + 2. Let b be g(f). Calculate the greatest common divisor of b and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4 + -9.4. Let q = u + 8.7. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 207 + -204. Let z be (2\/l)\/((-24)\/(-144)). What is the nearest to -1\/4 in -2\/15, z, -0.4?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -12 (c) -2 (d) 2 (e) 4\/7 (f) 2.96 (g) 13\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 383 + -3081622682861.\nAnswer: -3081622682478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 5*j**2 - 8*j - 2. Let z be v(-6). Let w be 53\/11 - z\/(-55). Suppose w*n - n = 88. Calculate the remainder when n is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 81\/4 of a milligram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1911) + (sqrt(1911)*-1 - sqrt(1911)) - (sqrt(390)*3)\/sqrt(10))\/((sqrt(24)*-2)\/sqrt(8) - sqrt(3630)\/sqrt(10)).\nAnswer: 10*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42823551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (1037\/(-340) - -9) + (3 - 2)\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 357047 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, u: 1, j: 2, x: 1, s: 1, o: 1}. What is prob of sequence uj?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7564 and 2356?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/(-21))\/((-1)\/3). Is 2\/2*v - -18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1083.5 and -140?\nAnswer: 151690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 521*y + 59304.\nAnswer: (y - 353)*(y - 168)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -57\/1430 and -23\/2470.\nAnswer: 27170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13523510 and 210.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4841*h**6 + 3708*h**2 - 3*h + 1 wrt h.\nAnswer: -580920*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1034438, 1034533, 1034628, 1034723, 1034818?\nAnswer: 1034913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 3. Let h = w - 2. Let j be 5\/25 - (-12)\/(-10). Which is the nearest to 1\/2? (a) h (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12 - (-5642)\/476)*(-4 + -1). Let s = 165\/34 - d. Is s greater than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2189635230 to the nearest integer?\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*d = -3*p + 114, 12 = 3*d. Let t = -27 + p. Does 25 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -86, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxzf when four letters picked without replacement from flzllsllllllsllfxls?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*d + 4*d - 2*d)*(-1 + 0 + 2) - d + d + 2*d + (5*d + 2*d - 5*d)*(1 - 3 + 0) + 2*d - 1 + 1)*(7*d**4 - 2*d**4 - 2*d**4) + 0*d**2 + 0*d**2 + 2*d**5.\nAnswer: 8*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 24.2. Let d = c + 25.6. Let f = d - 2. What is the closest to -3 in f, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*v = 59*v - 2178. Find the first derivative of 154*c + 81 - 30*c - 54 - v wrt c.\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-2))\/(-4 - -3). Let b be 32\/(-5)*(-4 - i). Let v = b + -21. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 76712805489 and 7.\nAnswer: 76712805496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -673, -889, -1281, -1861, -2641?\nAnswer: -3633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-15)*22\/((-198)\/81)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/11*(-2)\/(-4) and 388\/(-77) - (-4)\/22.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x = 7*x. Let p be 5\/(4 - ((-68)\/8 + 4)). Which is bigger: p or x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**2 - 2*z**3 - 33 + 4*z**2 + 36 to the form i*z**2 + d*z**3 + y + q*z and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*y**3 - 45305*y + 45305*y.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uxuuxxxxuuuxxuxx. Give prob of picking 1 x and 1 u.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 43284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1483010251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 315ac3 + 3b?\nAnswer: 315b31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 4. Let v be r(6). What is the units digit of v\/7 - 141\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1947*j - 1818*j - 129 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) 1 (b) -2\/39 (c) -2\/5 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/14 - 72\/(-140). Let p be (-48)\/36*-3 - 18\/5. Factor -k*f**2 + 0 + p*f**4 - 2\/5*f**3 + 0*f.\nAnswer: 2*f**2*(f - 2)*(f + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -2\/7 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34 + 39. Which is the nearest to -7? (a) -1\/2 (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 53 + 123 = 0 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 240390?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -26. Let z(t) be the third derivative of -t**6\/120 + 2*t**5\/15 + t**4\/6 - t**3\/6 - 5*t**2. Is z(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (1 + -1 + -4) - 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-116)\/(-290)*(2\/(-2))\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8750070 divided by -1806.\nAnswer: -4845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3871 is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -171, -995, -2409, -4407, -6983, -10131, -13845, -18119?\n\"Answer: u**3 - 301*u**2 + 72*u + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102812296 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(816)\/sqrt(3) + 4*sqrt(17) + 2.\nAnswer: -2 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 + 47 = 3*g. Suppose -9*t = -g*t. Suppose t = 2*q - 5*h, -q = -4*h + 3*h - 3. Calculate the lowest common multiple of 8 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 844613 divided by 1567.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2671 - -444?\nAnswer: -2227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27917, -60200, -92483?\nAnswer: -124766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 - 39. Let n be 2*(-2 + (6 - 0)). Suppose 2*a - n = -4. Solve 3*o + a*l = -w*l - 9, -3 = o - l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(-7)\/l))\/(l*l**4)*l\/(l**(2\/9)\/l)*l\/l**(5\/6)*l*(((l*l**(5\/2))\/l)\/l**(3\/2))\/(l**(-1\/8)*l*l*l**(-1\/7)*l) assuming l is positive.\nAnswer: l**(3131\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833791 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b709 (base 16) in base 13?\nAnswer: -1253ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15149363.\nAnswer: 17, 97, 9187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 232?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 685 + 205 = -105*x + 995*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty sevenths of a week in days?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3721 - -969. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 112.55 + -26145776.\nAnswer: -26145663.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcccmmicmcm. What is prob of picking 4 c?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-132)\/(-77)*1596\/304.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 7, -0.13, -0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 49*a + 144. Let c be d(46). Solve 3*j - o + c*o - 12 = 0, -2*j - o + 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.319 + -12633147.81\nAnswer: -12633148.129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-240)\/45*(-93)\/(-2). Let g = -243 - x. Which is smaller: g or 47\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (18 - 7) + -15?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 3576.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 3296*l + 162323. What is z(50)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 divided by 18955.\nAnswer: 38\/18955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, 0.8, -2, -10\/3, -0.23 in increasing order.\nAnswer: -10\/3, -2, -3\/8, -0.23, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.26178kg?\nAnswer: 0.00026178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.43302913 rounded to two decimal places?\nAnswer: -7.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 9*z + 3. Let v be q(9). Suppose v*o = -3 + 9. Solve o*r - 3*r - 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.766 + -0.234. Which is the second smallest value? (a) 4 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 less than or equal to -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 168 and 1407.\nAnswer: 11256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -32905.3339 to the nearest ten.\nAnswer: -32910","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 t, and 1 r when four letters picked without replacement from {t: 4, q: 1, u: 3, r: 6, p: 1}?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 13*h + 16. Determine p(-11).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -108572\/15 - -7235. Calculate the common denominator of 17\/27 and c.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -3*a + 43, -6428*r = 28*a - 6430*r - 596 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-2))\/((-115)\/(-46))*225\/(-10).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 6)*(p**4 - 3*p**4 + 3*p**4) + (-2 - 4 + 4)*(18*p**4 - p**4 + 46*p**4).\nAnswer: -125*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133, -248, -415, -628, -881, -1168, -1483, -1820?\nAnswer: -2173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.47 - -32.47. Let i = n + 17. Let f = i - 48.9999939. What is f rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -38 - -37. Are -6 and c unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33426122 (base 7) in base 6?\nAnswer: -142035225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 332434014 (base 6) to base 8\nAnswer: 26726032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 5 = -6. Let j = k + 14. Suppose -4*i = -j*l - 1071, 3*i - 749 = -2*l + 33. Is 44 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pxbppxlxxzzxzxpk. Give prob of sequence lpk.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -13. Solve d = -4*w - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 5. Let g(k) = 2*k + 16. Let r be g(-11). Does 7 divide d(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30521430 to the nearest integer?\nAnswer: 5525","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + d - d)*(-1052*d**4 - 464127*d**2 + 464127*d**2).\nAnswer: -2104*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-54)\/7 - (-12)\/(-42). Let c = 13 + d. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 10 = 4*m. Factor 0*v**2 - v**m + 3*v**2 - 3*v + v.\nAnswer: 2*v*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p + 3. Let x(r) = 3*r + 29. Let k be x(-9). Suppose -n + 3 = 5*c - 6, 5*n = -k*c + 22. Let v be -1*c\/2 + (-533)\/82. Calculate t(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 2:24 PM?\nAnswer: 12:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-460)\/(-12) - -7)\/((-4)\/(-6)). Let y be (-2 - -9)*(-180)\/21. Let j = p + y. What is the lowest common multiple of j and 147?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -51\/172 - -2\/43. Let s = 0.21 + -11.21. Let j = s + 14. What is the nearest to 1 in j, a, -5\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2. Let v(r) = r - 4. Let j(m) = -2*m + 9. Suppose -6*s = -10*s + 36. Let z(t) = s*v(t) + 4*j(t). What is q(z(h))?\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/3, 0.038, 0.1, 0, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.9 + 1. Let m = -27 + 26.6. Is m greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 4*w**5\/5 - 3448*w**4\/5 + 27948*w**3 - 1628136*w**2\/5 + 743904*w = 0.\nAnswer: 0, 3, 18, 21, 820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 120101000222 (base 3) to base 13\nAnswer: a793c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*k + 36 + 12. Let q be (2 + k)*(-10 + 5). Solve -4*x - 3*n + 5 = 0, -x + 2*n + q = -10 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buuuuucuucuuucbbbcc. Give prob of picking 1 b and 2 c.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4*1)\/(-1).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 g when two letters picked without replacement from vvggg?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = -5*y + 4*y + 20, -5*w + 45 = -4*y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 388 - 887. Let o = 502.98 + p. Let m = o + 0.02. Which is the second biggest value? (a) -4 (b) m (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = -15*s - 2625. Let w = -339 - s. List the prime factors of w.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 + 7*i - 4. Let z(y) = -y**2 + 7*y - 4. Let n(p) = 3*u(p) - 2*z(p). Let a be n(6). Suppose 0 = a*s - s - 10. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9, -0.1, 0.1, -12\/11, 2?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 70823 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*w - 12 - 37. Suppose 2*o - 662 = -2*q + w*o, 3*o = -5*q + 1717. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 968 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*m**3 + 9*m**2 - 2*m**2 + 18*m**3 to n*m**3 + b*m + h + p*m**2 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6278 divided by 200?\nAnswer: -3139\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24 - 24 + 17*o)*(3 + 0 - 1)*(6*o + 12 - 12)*(2*o**3 + 4*o + 7*o - 13*o).\nAnswer: 408*o**5 - 408*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q + 30 = 14*q. Find the second derivative of 7*i**q + 9*i**5 + 10*i - 2*i**5 wrt i.\nAnswer: 280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-4) - 35\/(-28). Which is the closest to -1? (a) -0.39 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:23 AM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 142548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 352733032?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s - 8. Suppose 619 = -24*i - 1325. Let h be i\/54*(-4 + 0). What is w(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/2*80\/(-30). Suppose -105 - 42 = 4*w + 5*p, 2*w + 106 = j*p. Let n = -13 - w. Solve h = -3 + 1, -5*i + 5*h = -n for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 435066, 435056, 435046, 435036?\n\"Answer: -10*q + 435076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-77)\/(-14) - 5)\/((-1)\/(-4)). Calculate the highest common divisor of 1 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 15*x**2 - 32*x + 29. Give a(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a + 5. Let g(k) = k - 1. Let d(o) = 6*g(o) + t(o). Determine d(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.126495*-0.3.\nAnswer: 0.0379485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -883638 times 43?\nAnswer: -37996434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 4*q + 1240, 2*q = 5*j - 0*q - 1515. Is 18 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 1, x: 2}. What is prob of picking 3 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooboaooooaaoooo. Give prob of sequence oa.\nAnswer: 39\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/3 and (70\/175)\/((-12)\/70)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/3*18\/12. Let o = 78 - -32. What is the highest common divisor of b and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 98 + -98.000000538. What is m rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 12*i**2 + 6*i + 29. Let s(c) = -c**2 - c - 2. Let x(r) = -a(r) - 6*s(r). Let q = 12 + -6. Let p(j) = -3 + 3 + 2*j**2 + q. What is -17*p(g) - 6*x(g)?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -2*r**3\/27 - 401*r**2\/9 - 800*r\/9 + 1663. Factor z(a).\nAnswer: -2*(a + 1)*(a + 400)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8623 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 0*z + z + (2*z + 2*z - 2*z)*(1 - 1 + 2) + 1 + 2*z - 1 + 3*z + 0*z - z)*(z - 3 + 3).\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -295\/8 - -38. Let b = 41668673\/52 - 801286. Let v = b - 135\/13. Calculate the common denominator of v and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 l when three letters picked without replacement from {j: 9, l: 2, n: 2}?\nAnswer: 36\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 12:28 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 31482, 30753, 28766, 24891, 18498, 8957, -4362?\n\"Answer: -105*a**3 + a**2 + 3*a + 31583","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 45. Let o be (-5)\/((-33)\/a - 2)*-1. Suppose z - o = 76. Calculate the remainder when z is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 5. Let p be a(-3). Suppose 21*g = 3*w + 23*g + 44, -5*w = 5*g + 80. Find the common denominator of (-4)\/p + (-242)\/w and -139\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -17. Find m, given that -109 - 2*m**k - 10*m + 7*m**2 + 114 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 82332406 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o = 8*o + 8740. Let y = o + -2787. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 246310787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 40 + (-13 - ((-15 - -21) + (10 - 14)))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u**4 - 21714*u**2 + 38*u + 259?\nAnswer: 12*u**2 - 43428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 46657, 46674, 46703, 46750, 46821, 46922, 47059, 47238?\nAnswer: 47465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -6 (b) 4563 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.056 + 0.154. Let q = -442.941 - -443. Let u = q - c. What is u rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2508 and 821484?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 48 = -2*l. Let h(d) = 6*d**3 - 24*d**2 + 41*d - 56. Let o(n) = n**3 - 5*n**2 + 8*n - 11. Let q(a) = -2*h(a) + 11*o(a). Give q(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 9 + 3. Find the first derivative of -4*r + m + 0 - 2 wrt r.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 15\/74 (c) -2\/83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - y**2 + 1. Suppose 0*w + w + 8 = -2*t, 3*t - 5*w = -12. Let b(o) = -3*o**3 + o**2 - 3. Let r(k) = t*m(k) + b(k). Calculate r(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**3 + v + 2. What is the remainder when (0 - 77*-1) + 2 is divided by q(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(24) + (sqrt(2916) - sqrt(2916)*1))\/((sqrt(48) - sqrt(768))\/sqrt(4) - sqrt(12) - (sqrt(96)\/sqrt(4))\/sqrt(2)).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u - 15. Let d be f(-4). Solve 5*j = 4*j - d for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173 - 697\/4. What is the biggest value in -1\/3, q, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 2. Let x = 3 - z. Let p be 1 - 2 - (-6)\/12. Which is the second biggest value? (a) -1 (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -81824800 to the nearest 1000000.\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1246788 by -2.\nAnswer: 623394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2c755e (base 15) to base 3\nAnswer: 11001021201222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (-11 + 7 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1263 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/3, 20.6, 5, 93\/7, -2\/23?\nAnswer: 93\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 175807, 0, -9 in ascending order.\nAnswer: -9, 0, 175807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 55436839 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 7\/4 (c) 10 (d) -2\/21 (e) 12 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 to the power of 1\/2, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*88*2\/(-3). Let p = r + 341\/6. What is the common denominator of ((-7)\/3)\/(3\/(-21)) and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide (-754)\/(-6) - 18\/(-54)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/583 and 29\/44.\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 5*b + 1191 = 0, -b + 3*b - 2406 = -4*o. Is 24 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -129e1 - 13?\nAnswer: -12a04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 168 - 92. What is the remainder when l is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2 + 8*f + 4. Let l be t(4). Suppose 3*d + 5*a - 912 = 0, -2*d - l*a + 1208 = 2*d. Is d 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 1:18 AM and 9:52 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7)*t\/(t\/(t\/(t\/(t\/t**(3\/7))))))**(-2\/17) assuming t is positive.\nAnswer: t**(90\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 5, 153, 575, 1409, 2793, 4865, 7763?\n\"Answer: 23*o**3 - o**2 - 10*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 1aeebe?\nAnswer: -1aeec1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-18) - 377\/(-117). Suppose 14 = q*b - 28. What is the remainder when b is divided by ((-5)\/(-3))\/((-1)\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 7*i + 20. Let b be z(-9). Suppose 3*n + 90 = 5*y + 5, -y - b*n = -30. What is the lowest common multiple of y and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 - 8*n - n**3 - 7 - 5 - 14*n**2. What is the tens digit of t(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.1 - -2.3. Suppose -12 = 2*r + v - 3*v, 4*v - 12 = 0. Let k = r - -2. Which is the closest to g? (a) k (b) -1\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3125141.1 = -2\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2308 - -10\nAnswer: -2298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 51\/5 of a day?\nAnswer: 14688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 5*q + 530, 4*q - 124 = -3*a + 424. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94272530.\nAnswer: 2, 5, 11, 41, 20903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 3*d - 4. Let j be s(2). Suppose 0 = 5*l - v - 25, 4*l - 5*v - 15 = l. Put 3, l, j in ascending order.\nAnswer: j, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1247 + 1142 - (-162 - 0)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132728 is divided by 331.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-1\/4))**(-9\/5))**(1\/3))**(-28) assuming g is positive.\nAnswer: g**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kgwksgggsgkggkks. Give prob of picking 1 w and 1 s.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.13 - -4.13. What is the nearest to 0 in 5, -0.3, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 - 3 = 3*k. Suppose 2*l = 3*l. Suppose -2*p - 8 = 0, l*g + 4*p + 40 = 4*g. What is the lowest common multiple of k and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -41 (b) -0.4 (c) -5 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 344019288 to the power of 1\/3, to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 - 48*z - 58*z + 106*z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 3:03 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2*v - v + v + 4*v**2)*(8 - 10*v**2 - 8 + (-v - 3*v + 5*v)*(0*v - v + 0*v)) to the form m*v**3 + o + c*v**4 + j*v**2 + u*v and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3. Let w be r(1). Let t be -2 + 8\/(-4) + w. What is the units digit of (-6)\/(-8)*(27 + t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(16)\/sqrt(4)))\/(sqrt(48)*-3).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -30 + 16. Let k = y - 10. Let x = 0.5 + 0.1. Put x, 5, k in ascending order.\nAnswer: k, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3) - -1)*0. Solve -s - 3 = -4*m, 0 = -3*s - w*m + 3*m for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(4050) + 2)**2 - (sqrt(20)*-1*4)\/(sqrt(40)*-1 - sqrt(10)).\nAnswer: 2696*sqrt(2)\/3 + 20270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 383*j**2 + 3*j + 3078?\nAnswer: 766*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3928689 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**2 - 10*z - 502. Let y(g) = g**3 + 5*g**2 + 4*g. Let o be y(-3). Let x be b(o). Solve 0 = -x*n + n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 475597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v - v - 92*v**3 - 2*v**2 + 3*v.\nAnswer: -92*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 152\/(-570) - (-15)\/(180\/8)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25833032 is divided by 378.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a millennium in years?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33943496 and 3497?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*i - 254, 3*v = -5*i - 100 + 735. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 143?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 1008346?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1530 (base 12) to base 14.\nAnswer: -c96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.04 - -9.98. Put -2\/7, q, 4, 2\/15 in increasing order.\nAnswer: -2\/7, q, 2\/15, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 2505142.\nAnswer: 501028.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(324)*-4 - sqrt(324) - sqrt(324) - sqrt(324))\/sqrt(12))\/(sqrt(45)\/(-6*(sqrt(5) + sqrt(245)))).\nAnswer: -624*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -2*h + 5*d, h + 2*d + 10 = -3*h. Let k(p) = 11*p**3 + 2*p + 3. Let q be k(h). List the prime factors of (-1155)\/q - (-4)\/8.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1007433 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 1661810*k.\nAnswer: 2*k*(k + 830905)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8070 and -2.\nAnswer: -16140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, 3\/8, -0.5, 3\/2, 1\/7.\nAnswer: -1.3, -0.5, 1\/7, 3\/8, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 228 and 464208?\nAnswer: 464208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5934956, 5934879, 5934742, 5934539, 5934264, 5933911, 5933474?\nAnswer: 5932947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1702, 8192, 19016, 34180, 53690, 77552, 105772, 138356?\nAnswer: 175310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14541626 (base 8) in base 16?\nAnswer: 32c396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -627, -617, -569, -465, -287, -17, 363?\n\"Answer: 3*q**3 + q**2 - 14*q - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0471101 grams in tonnes?\nAnswer: 0.0000000471101","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/63 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4\/9 (b) 17 (c) -5 (d) -15\/4 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/2496096 and -155\/254232?\nAnswer: 27457056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5354 + -5356. Let q(i) = 16*i + 4. Let r(o) = 3*o + 1. Give n*q(d) + 11*r(d).\nAnswer: d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2722*n + 4*x = 2725*n - 78, -3*n + 2*x = -84 for n.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 805210 by -57515.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20458?\nAnswer: 2, 53, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 878590 and 110210?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 170647 to the power of 1\/3, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695884 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4*a = 469, -3*n - a - 469 = 10. Let b = n - -269. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*k - 38 = x, 4*k + 137 = 5*x. Suppose 0 = 2*o - 2*g, -x = -2*o - o - 2*g. Solve -o*y = -y + 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-11)\/2 - -3)*-2. Let r(m) = -m**3 + 6*m**2 - 3*m + 1. Is 11 a factor of r(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1371 is divided by 457.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = -2*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) 1 (c) 471 (d) -7 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 - 29*j - 37. Calculate m(-20).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a gram in milligrams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321*r = 50*r + 126*r - 12922 for r.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 88\/99 - 20\/(2880\/1136)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 855468 and 2172.\nAnswer: 154839708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9168, -36444, -81900, -145536, -227352?\n\"Answer: -9090*d**2 - 6*d - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (10 - (10 - 5)). Put t, -17, -3\/5 in increasing order.\nAnswer: -17, -3\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469852?\nAnswer: 2, 419, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -739198, -1478983, -2218768?\nAnswer: -2958553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 AM and 7:18 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3869871323?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3380439?\nAnswer: 3, 853, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 - 70*j + 2981. What is t(30)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/91 + -467\/546. What is the third biggest value in -1, f, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 0)*(-12*b**2 - 5*b**5 + 12*b**2) - 2*b**5 + 6*b**5 - 5*b**5 + 18*b.\nAnswer: 14*b**5 + 18*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/9*6 + 3. Factor 2*y**2 + 5*y - 3*y - k*y - 5*y + 6.\nAnswer: 2*(y - 3)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/((-16)\/(-8)) - 3. Solve -4*j - 14 - 2 = f for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h + 2*h**3 - 4*h)*(5 + 0 - 3) - 4*h**3 + h**3 + 6*h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 1646*a**2 + 1538*a - 1. Calculate n(-1).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = x + 5*z - 11, 4*z = 5*x - 21. Suppose -x*p = 5*s - 50, -3*s + 24 - 6 = p. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2159*l + 2162*l - l**2 - 4321*l. Let q(f) be the third derivative of f**4\/12 - 10*f**3 + 10*f**2. Give c(q(r)).\nAnswer: -4*r**2 + 240*r - 3600","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 8:46 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-135*(-60)\/44550)\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27766 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*c - 11 + 38 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -23*v**2 - 9. What is c(3)?\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of -f**4\/4 - f**3 + f + 3. Let a be o(-3). Put 3, -4, a in descending order.\nAnswer: 3, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-300183)\/976144 - (-8)\/26. Which is smaller: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - x**2 + 4*x**2)*(4*x + x - 6*x) - 2*x**3 + 3*x - 3*x + 5*x**3 - x**2 + x**2 - x**3 - 2*x**3 + 0*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/21 - 24384*q\/7 + 7830432\/7.\nAnswer: 2*(q - 36252)*(q - 324)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-15)\/6)\/(15\/(-36)). Suppose -2*d - 2*w = 3*w + o, d - 12 = 5*w. Let b(r) = -9*r**2 + 8*r**d + 0*r**2. Let f(t) = -8*t**2. What is f(b(n))?\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 730 + -425. Suppose 7*p - h = 2*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -25581*q**3 + 17*q**2 - 5*q - 5. Let t be y(-3). What is t rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -2*u - 30, -18246*u + 18242*u - 216 = 34*d for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 + 26*y**2 - 68*y - 20. Let p be a(23). Suppose 4 = 4*d - 19*n + 21*n, -p*n = -3*d + 21. Solve q = -2*w + 7, 2*w = d*q + q + 12 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11167 is divided by 2789?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m = 0. Suppose m = -3*s + 2 + 7. Find the second derivative of -c + 2*c + s*c + 4*c**2 wrt c.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*h - 84*h = 2890. Let y = h - 2985\/2. What is the common denominator of y and -67\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*j + 13*j - 3*j**3 + 6*j**3 as x + n*j**3 + p*j + g*j**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**2 - 8*u - 24. Let o be d(6). Suppose o = 20*b - 24*b + 3236. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 9. What is the tens digit of p(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22 by 334.\nAnswer: -11\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-12))\/(3\/9). Let z(v) = 10*v**2 + 7*v - 9. Let t(p) = -3*p**2 - 2*p + 3. Let c = -552 - -559. Give c*t(n) + u*z(n).\nAnswer: -n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-27)\/6*8\/12. What is the units digit of (3 + 12\/f)*-11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 106 and -12896697095.\nAnswer: -12896696989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n - 10*n + 86*n**2.\nAnswer: 86*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1243479592 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5*f + 6 = 30, 3*f - 4 = -4*l. Suppose l*q = 2*q + 2, 58 = -5*j - 2*q. Let b be (j\/10)\/((-9)\/270). Calculate the highest common divisor of 144 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 133b45 (base 15) to base 11.\nAnswer: 581173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 8:21 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t**4 - 19*t**3 - 21*t**2 + 19*t + 20 = 0. Calculate t.\nAnswer: -1, 1, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33826621?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**6\/120 + 7*c**5\/30 + 2*c**4\/3 + 8*c**3\/3 - 11*c**2. What is the remainder when 91 is divided by x(15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v - 8*v**2 + 3*v**2 + 2*v - 4*v**2. Let u be d(-3). Calculate the common denominator of ((-6567)\/u)\/(-11) + 3 and 73\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 42795 = -47*x. What is the hundreds digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 8*m - 1. Let q be (-1)\/(2\/(-4)) + 52. Suppose 4*a - 168 = -4*y, 0 = -4*a - 2*y + q + 118. What is the remainder when a is divided by w(-4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 82, 1 in descending order.\nAnswer: 82, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52087, -52067, -52045, -52021, -51995, -51967, -51937?\nAnswer: -51905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 10 = 3*v. Let s(w) = w**3 + w**2 - w + 1. Let i be s(1). What is the second derivative of -b**v + 3*b**i - b**2 + 2*b wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 6*p + 876 = -3*j, -5*j - 10 = 0. What are the prime factors of p?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 28 = -277*l + 281*l, 2*l + 4*y + 4 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4405 - 4395. Solve 2*t = -3*j - m, -87*j + 91*j = t - 17 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 538679 = 4*g - 199809, -5*n - 738485 = -5*g. Round n to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 16*w**2 + 3*w - 3. Let g be i(-3). Let o be (1 + -5)*g\/(-3). What is the highest common divisor of o and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*b = -3, -2*b = 2*c + b - 5. Suppose -c = p - 2. Let m = -21244 + 21243.6. What is the third smallest value in p, 4, m?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Suppose 0 = 5*d - 2*v - 12, 6*d + 5*v = 2*d + 3. Find o such that 6*o**n - 4*o**3 + 16*o - 22*o**d + 8*o**3 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - (-23 - (-11 - 1)) - 4) + -75 - -10?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from awuwbuyuau. Give prob of picking 1 b and 1 y.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 24 + (10 + -55 - -21).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.032123t in micrograms?\nAnswer: 6032123000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 3*f + 1. Let j be b(-2). Suppose 0 = 3*r - j*k + 9, 4 = -4*k + 2*k. Let t be (-8)\/r*10\/4. Solve -2*q - 6 = -3*l + 7, -t*q + 4*l = 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-6 - (-2 - (-2 + 3)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 d when three letters picked without replacement from {a: 5, d: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6310*k**2 + 6787*k**2 - 4729*k**2.\nAnswer: 8368*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.02 + 3.02. Which is bigger: b or 1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 m when three letters picked without replacement from ysyysddymbsdsz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = z - 2*s, 0 = 4*z - z - s - 110. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 2*v + 10 = 0, l - 4*l - 3*v - 3 = 0. Suppose 4*h + 6*t + 6 = 4*t, 0 = 4*t - 20. What is the closest to -2\/5 in l, h, 3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137629316 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.91089 micrometers in meters?\nAnswer: 0.00001591089","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2624 + 6481. Does 52 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-6)*y\/y**3)**(-7\/3)*(y**(2\/3))**(-2\/19)*y*y\/(y**(-5)\/y*y)*y\/(y\/((y\/((y*y*(y\/y**0)\/y)\/y))\/y))*y assuming y is positive.\nAnswer: y**(-90\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -147175*h**2 + 3*h*u - 415722*u with respect to h.\nAnswer: -294350*h + 3*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 7*x**2 + 14*x + 16. Let c be d(-4). What is the greatest common factor of 13672 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) 3\/7 (c) 3 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 14*l**2 + 153*l - 4241. Let k be z(39). What is the greatest common divisor of k and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -12b337 + 2?\nAnswer: -12b335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 381\/24 - 4\/(-32). Is 6 a factor of r + (-4)\/2 - 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*y - 24 = 0, -9 = k + 3*y + 3. Solve k*z + 5 + 7 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - 848d?\nAnswer: -8492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 10*q**2 - q + 11. Determine v(-9).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 0*j**2 + 43 + 0*j + 2\/3*j**3. Let o(r) = r**2 - 102*r. Calculate o(y(m)).\nAnswer: 4*m**4 - 204*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 4?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - x - 0*x + 7, 4*p - 5*x = -21. Suppose p + 16 = y. What are the prime factors of y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 130 + -9?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1744001274 a multiple of 3807?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -165593987 rounded to the nearest 10000?\nAnswer: -165590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106 + 106 + 10*w)*(57*w**2 - 8*w**3 - 60*w**2 - w**3).\nAnswer: -90*w**4 - 30*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 163*w**2 + 258*w**2 - 40*w**2.\nAnswer: 381*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qgedjedfdggq. Give prob of picking 1 f and 2 e.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.03, 6347\/5, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*0\/(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*q + 172 + 38 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(((558\/12)\/(-31))\/((-3)\/2)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 5, -61*a + 49 = -57*a - 3*p. Let t(v) = -v**2 + 15*v + 1. What is t(a)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (4 - -2) - -8. Suppose 0 = -s*m - 2*f + 7*f + 105, 4*f + 6 = m. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in 0.4, -1\/2, -796, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 5 = -16. Suppose p*l = 5*o + 4*l - 1795, 0 = -4*o + 3*l + 1417. What are the prime factors of o?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - ((8 - -30) + -19 + -31)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3580.5 + -5045.6. Round i to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from nnnnnnmmnmmm.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**6\/120 - a**5\/15 + 5*a**4\/24 - a**3\/3 - 7*a**2. Factor k(b).\nAnswer: (b - 2)*(b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -623*o**3 + 49*o**2 + 49*o - 49. Let y(a) = 26*a**3 - 2*a**2 - 2*a + 2. Give -2*h(u) - 49*y(u).\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/20)\/(14\/1421*(-574)\/656)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -24970*v**2 + 45*v + 1125. Let k(y) = -1135*y**2 + 2*y + 50. What is 90*k(r) - 4*x(r)?\nAnswer: -2270*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-6*sqrt(54)\/(sqrt(36)\/sqrt(4)))\/((sqrt(21)\/(sqrt(28)\/sqrt(4)) - (sqrt(3) + sqrt(9)\/(sqrt(3) + sqrt(12)\/sqrt(4))))*6).\nAnswer: 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 16) in base 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1747069 is divided by 436440.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*w + 2*w + 0*w + (2 - 4 - 6)*(-3 + 3 + 2*w))*(57 + 68 + 11) in the form q*w + i and give q.\nAnswer: -2312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/21 and -2\/651.\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 53299109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 210*b + 367. Determine f(3).\nAnswer: 997","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 10201330113 (base 4) to base 5\nAnswer: 301000412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-25)\/175*-189 - -128. Solve 150*b + 4*s = x*b + 12, 0 = -b + 2*s - 6 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44086.\nAnswer: 2, 7, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 12:59 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 381000 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 + -26. Suppose 4*n = -3*x + 91797 - 19813, -h*x = 3*n - 119988. What is x rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3863?\nAnswer: 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14314.0716us in days?\nAnswer: 0.000000165672125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -7418721 and 1.\nAnswer: -7418720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 4*t**2 + 11*t - 25. What is the tens digit of h(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000 (base 4) to base 12.\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 - 61 + 24 + 26. Let i(w) be the third derivative of w**4\/12 - 108*w**2. What is i(v(q))?\nAnswer: 8*q**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/6 of a week?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4*i = -14, 3*x + 3*i = i - 17. Let s = -5 - x. Let u(n) = n - 5. Let w be u(4). Sort -4, s, w in decreasing order.\nAnswer: s, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 8*z**2 - 10*z - 3. Let v be g(-7). Let y be ((-1)\/(-1))\/((-6)\/v). Let n = -0.8 - 0.2. Sort n, y, -2 in decreasing order.\nAnswer: n, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*d = -463, 557 = 5*n + 2*d - 3*d. Is 11 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -2*a**4 - 97*a. Let o(f) = 5*f. Give o(k(w)).\nAnswer: -120*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from djjjjjjodjjjbcjj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14 + 3 - 23 + n**2 + 0*n**2 to the form r*n**2 + q + p*n and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 59 = 2. Suppose a + i = -0*a + o, -a + 23 = 2*i. Does 15 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*q + 1364*q - 542*q + 32538 = 632*q for q.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 54, -3, 1 in decreasing order.\nAnswer: 54, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*-17 + 80 + -85 - -15?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -8 + 6 + 24\/20. Let g = -471\/184 + 102\/23. Put l, -2\/7, g in increasing order.\nAnswer: l, -2\/7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((36575\/462)\/95)\/(1\/(-3)*4)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence klbu when four letters picked without replacement from {u: 2, k: 1, b: 5, l: 7, w: 4, j: 1}.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 198324810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 11) to base 7.\nAnswer: -46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 3*d - 3*d)*(-2 - 1 + 2)*(2 - 1 - 3)*(3 + 0 - 1)*(2 - 2 - 6).\nAnswer: 96*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3974, 6209, 6710, 5477?\n\"Answer: -867*t**2 + 4836*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-3 - (6 + -3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 60 = -4*f, 14*m - 120 = 12*m + 2*f. Solve 13*z - 34 + m = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-10)\/75 - (-62)\/15 and 22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -3*k - 20. Let d be t(-7). Suppose -d = -4*g + 7. Is (-3)\/g + 26*42\/24 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (114\/38 - -3*64\/(-60))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*d - 25 = 108*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4024\/9 + -446. Solve -8\/9 - 2\/9*z**3 - v*z**2 - 16\/9*z = 0 for z.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -253*d - 255*d = 301*d - 855*d - 2898 for d.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -65*a**2*y**3 + 45*a**2 + 188*a*y**2 + 239*y**3 wrt y?\nAnswer: -390*a**2 + 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(((b*b**(-26))\/b*b)\/b)*(b\/((b\/(b\/b**(-6\/17)))\/b*b*b)*b)\/b)\/(b*b**13)**(-44) assuming b is positive.\nAnswer: b**(10937\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*h - 3*h - 3*b, 0 = -2*h - 5*b + 5. Suppose 3*q + h*m = 38, -2*m - 3 = -3*q + 28. Solve 4*d + 2*n + 4 = 0, d + 2*n = -n - q for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2825874.6 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18\/31 in 5, 3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + 16 - ((7 - 15) + 17)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3844*z**2 - 611*z.\nAnswer: -7688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/6)\/((-8)\/(-12)). Let o = v - -6. Let j(x) = -o + 5 - 3*x. Determine j(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 5*z**3 + 3*z**2 - 7*z + 7. Let f(t) = 3*t**3 + 2*t**2 - 4*t + 4. Suppose 3*c + 0 = 2*w + 4, -2*c = 2*w - 16. Give c*g(m) - 7*f(m).\nAnswer: -m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 49, 69, 73, 55?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the third derivative of 0 + 0*h**5 + 0*h - 11\/3*h**3 - 29\/120*h**6 - 6*h**2 + 0*h**4. Differentiate x(k) with respect to k.\nAnswer: -87*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = 3*i - 11, 0 = b - 348*i + 346*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 288*h**5 + 203*h**4 + h**2 - 17653904 wrt h?\nAnswer: 17280*h**2 + 4872*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 181\/1022 - 5\/146. Suppose 4 + 10 = -3*j + 4*m, 3*j + 23 = -5*m. Let s be 4*(-2 + (-13)\/j). Is s <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 7 - 3)*(-3 + 2 + 2) + (0 - 4 + 2)*(-2 - 2 + 2))*(-2 + 1 + 3)*(5*w - 4*w - 3*w).\nAnswer: 12*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p + 24. Suppose 4*r - 24 = 2*r. What is the least common multiple of l(-6) and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from {f: 1, h: 1, n: 3, c: 1, q: 6}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 41*w - 354 + 354 to the form o*w + z and give o.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3091 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -1 - (3 + sqrt(20)\/sqrt(4)))**2.\nAnswer: -48*sqrt(5) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(sqrt(612) + 1 - sqrt(612)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -197538?\nAnswer: -197538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + o**2 + 6*o**2)*(7047*o + 4113*o - 21122*o + 5118*o).\nAnswer: -38752*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 26*b - 12. Let o be w(0). Let g be 426\/45 + o\/(-36). Factor -g*m**5 - 9\/5*m**3 + 42\/5*m**4 + 0 + 0*m + 0*m**2.\nAnswer: -m**3*(7*m - 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x**2 + 35*x + 1028. Give l(-20).\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 81091454, 81091455, 81091456, 81091457, 81091458?\n\"Answer: l + 81091453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**30*l**6*(l**(-26)\/l)\/l**17 assuming l is positive.\nAnswer: l**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of -j**7\/1155 + j**5\/330 + 5*j**2 + 13. Let w(c) be the second derivative of a(c). Factor w(p).\nAnswer: -2*p**2*(p - 1)*(p + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48912 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -2*w. Let v(k) = -523471470*k. Give v(m(o)).\nAnswer: 1046942940*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-63)\/665)\/(((-69)\/20)\/(-23)).\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/(-216)*(-3)\/35?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x**2 - 76*x + 120 = 0. Calculate x.\nAnswer: -6, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + b + 0)*(b**2 + 2*b**2 - 5*b**2) + 3*b + b**3 - 3*b + (b**2 + 0*b + 0*b)*(2*b - 3*b - b))*(-2*b**2 - b**2 + 6*b**2) + 602*b**4 + 6*b**5 - 602*b**4.\nAnswer: -3*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -506 + 4442?\nAnswer: 3936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 2:53 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 6*o**2 - 3*o - 3. Let r be b(5). Let l(s) be the first derivative of -s**3\/3 + 7*s**2\/2 + s + 1048. What is l(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20876 + 20876 + 2*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1393 and 1555883?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + 2 + sqrt(1573)*4)**2.\nAnswer: 216*sqrt(13) + 37912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*d**3*f**2 - d**3*f - 3*d**2*f - 1214*d**2 + 284*f**2 wrt f.\nAnswer: 22*d**3 + 568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6 and -9846.\nAnswer: -9852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 - 4*o + 1. Let l(k) = -k**3 + 4*k**2 + 5*k - 3. Let j be l(5). Let p be g(j). Let v(n) = -n + 7. Calculate v(p).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16704 = 16*z - 22*z. List the prime factors of z.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.009 and -0.09303.\nAnswer: 0.00083727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 32823708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 25*l**2 - 58*l - 9. Calculate s(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(24\/(-16))\/(147\/(-28))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-3) + 3 + 259. Suppose -4*t - 4*r + 1245 = 181, -t + 5*r = -v. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i**19\/i)*(i\/i**(-1\/14)*i)\/i assuming i is positive.\nAnswer: i**(-223\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilometer in meters?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-18)\/(-8))\/((-7)\/(-84)). Let h = v + -19. Suppose -r - 3*r + h = 0. Calculate the greatest common divisor of r and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*c + 4 = 0. Is 3\/(-3)*(326 + 0)\/c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 (base 8) in base 6?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 0*g - 13*g)*(-4*g - 13 + 13)*(0 - 5 + 4)*(2*g**3 - 5*g**3 - 66*g**3).\nAnswer: 3864*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 + 5. Let y be w(0). Suppose -13 - 115 = 4*a. Let c = a + 34. Solve -c*z + 16 = -y*o - 5*z, 2*z = -4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -51138*d**2. Let b(u) = -18*u. Determine b(g(o)).\nAnswer: 920484*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.004901 + 0.0749138. Let w = -0.07 + r. What is w rounded to six decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2. Let g(i) be the second derivative of -i**5\/120 - i**3 - 4*i. Let n(d) be the second derivative of g(d). Calculate m(n(j)).\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 85*d + 1507. Let k be w(60). Let x(g) = -2*g**2 + 11*g - 5. What is x(k)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5507 + 5523 + 5509 - 16539 - 27*o.\nAnswer: -27*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 2626*b - 2631*b - 35, b = -6*g + 7 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 - 6*z - 14. Let q be a(13). Suppose 2*p = q + 1. What is the highest common divisor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -201*i - 101*i + 994*i as r + f*i and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 540 or 537?\nAnswer: 540","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 61650 and 0.1.\nAnswer: 6165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -172 - -230. Let r = 17 + h. What is the remainder when r is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-416)\/(-64)*(2 - -2). Suppose o*k - 2*k = 15312. What are the prime factors of k?\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -225753 + -6?\nAnswer: -225759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i - 3. Let x be o(-2). Let p be (3\/18)\/((-25)\/(-30))*0. Suppose -x*a + 0*a + 395 = p. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 61\/92, 1.9, 0.055?\nAnswer: 0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5015 and 51?\nAnswer: 15045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 q when four letters picked without replacement from {m: 10, k: 2, q: 6}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1112001011121 (base 3) in base 5?\nAnswer: 201322411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2340572 + 765603 = 5*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 2*f + 12 = 3*o, -f = 5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-4))\/((297\/44)\/(-9))?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 8*b**2 - 4*b - 7. What is the units digit of y(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of k**2*u - 3*k**2 - 1289*k*u - 3885867*k + 51616*u wrt u?\nAnswer: k**2 - 1289*k + 51616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 5:10 AM?\nAnswer: 6:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4 - 6 + 20 = 0 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 - (-1505)\/(16 - 51)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26 and 38?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (0 - (-1 + 5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 + 22 = 0. Suppose 0 = -k - k, 0 = -4*d + 4*k - v. Suppose 0*h = -h - 2. Sort d, 1, h.\nAnswer: d, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**2 + 260*c**3 + 3*c**2 + 265*c**3 + 246*c**3 - 769*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -z + 2*r, 5*z - 289 = -5*r - 234. Let w = -37 - -22. Let y = z + w. Solve -4*v + y = 14 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r = r - 26*r + 258 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1032, 1, -4, -1283 in descending order.\nAnswer: 1032, 1, -4, -1283","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = c - 0*c + b, 32 = c - b. Let t = c - 10. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27165, 110692, 250549, 446742, 699277, 1008160, 1373397?\nAnswer: 1794994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 323, 643, 963, 1283, 1603?\nAnswer: 1923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 122 + 5*l**3 - 16*l**3 + l**4 - 125 + 10*l**3 - 2*l to g*l + d*l**3 + x + r*l**4 + o*l**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6.75352994 - 6.55353. Let y = g - 0.2. Round y to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 227*j - 1. Let c(s) = 75*s. Determine -7*c(b) + 2*n(b).\nAnswer: -71*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in 0.4, 2\/13, -1720?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0088539 rounded to 5 decimal places?\nAnswer: -0.00885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.216 - 0.184. Sort 4, t, -1\/3, 1.\nAnswer: t, -1\/3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swva when four letters picked without replacement from {i: 1, a: 2, s: 2, z: 1, w: 6, v: 1}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Work out 15.612 * -157.\nAnswer: -2451.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/79 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u**3 + u**2 - 2*u - 1. What are the prime factors of n(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6*l - 3*l - 4*l. Let w be -2 - (-6)\/9*3. Let a(y) = w*y + 2 - 5*y - 2. Calculate a(q(i)).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -7, -8575, -1\/8, -2.\nAnswer: -8575, -7, -2, -1\/8, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-238)\/22 + 6\/(-33). Suppose -5*b = -5*d - 15, -b + 15 = 2*d + 24. Put -3, b, z in decreasing order.\nAnswer: b, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s - 11. Let g(k) = -897*k - 11 - 904*k + 1808*k. Give -4*g(t) + 5*i(t).\nAnswer: 2*t - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -8*m**3 - m**2 - m - 1. Let n be h(-1). Suppose n*v = v + 366. Suppose -5*g + 9 = -v. What are the prime factors of g?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.08061 + 0.14061. Put -5, b, 3.2 in decreasing order.\nAnswer: 3.2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2844666 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q**2 - q. Let w(m) = -m**2 + m. Give -n(o) + 3*w(o).\nAnswer: o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1923 - 23033\/12. Let u = 146 - 1763\/12. Calculate the common denominator of u and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 133220 to the nearest integer?\nAnswer: 365","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5080, -4519, -3966, -3421?\nAnswer: -2884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/48*(0\/1)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31013 + 11320000?\nAnswer: 11222321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-316 + 3*d + 316)*(34 - 26 - 25) + 2*d + d - 2*d + (3*d + d - 2*d)*(2 - 2 + 1) in the form v + x*d and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1173 - 1165. Is m bigger than 0.031?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4441 - -7406?\nAnswer: 2745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(35)\/sqrt(5) - (sqrt(7) + -3 + sqrt(35)\/sqrt(5)))**2.\nAnswer: -6*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (30\/4 + -4))\/((-147)\/56)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4974 + 5025 - 109*h + 5025 - 15024.\nAnswer: -109*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10493 + -10492.9995209. What is g rounded to five decimal places?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28114 + -28103. Let x(d) = -3*d + 11. Let q(w) = -w + 1. Let f(t) = 6*q(t) - x(t). Let c(r) = 16*r + 25. Give a*f(b) + 2*c(b).\nAnswer: -b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 182 - 182.164. Let q = -0.344 - g. Let w = -0.33 - 0.07. Put w, q, -2 in ascending order.\nAnswer: -2, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 10?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 108*u**2 - 57*u**2 - 59*u**2. Let r(b) = -3*b**2. What is r(l(m))?\nAnswer: -192*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l - 2. Let s(t) = -1. Let a(q) = -j(q) + 4*s(q). Let n = 10 + -17. Let u(z) = -13*z + 3. Determine n*a(g) - 5*u(g).\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a8 (base 16) in base 3?\nAnswer: 20020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -k - 0. Let c(u) = 3*u**2 + 1. Let v be c(k). Suppose s - 5 = -d, v*d + 2 - 12 = s. Solve d = w + 7 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**5 + 3498188*m**4 = 0.\nAnswer: -1749094, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of 3*l**4\/8 + 4*l**3\/3 - 88*l**2 - 38. Let x be (-1)\/(-4) + 116\/(-16). Calculate c(x).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5670\/(-396))\/(-105))\/(6\/(-16)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 52656577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57320 and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 2. Let i(n) = 5*n + 39. What is -i(v) - x(v)?\nAnswer: -7*v - 41","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -25.65 - -25. Let f = s + 0.15. Let t = f + 1.7. Round t to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 5 = 2*p, 5*p = -3*f + 12 + 7. Sort -4, -15, f in ascending order.\nAnswer: -15, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 11:13 AM?\nAnswer: 1:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 4*s = 12, -5*s + 3*s + 20 = 2*d. Suppose m = -m + d. Round m to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9229*z**4 + 2*z**3 - 16421*z**2?\nAnswer: -221496*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3\/(-9) - (-89280)\/54.\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*104\/560*14?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 816*d**4 - 14*d**5 - 6*d**5 - 819*d**4 + 2*d**5 - 3*d**2 + 3*d**2 + (4*d**2 + 0*d**2 - 6*d**2)*(0*d**3 - 4*d**3 + 2*d**3) + 0*d**5 - d**5 - d**5.\nAnswer: -16*d**5 - 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-5*sqrt(136)*-5)\/((-1*sqrt(1152))\/sqrt(4)))**2.\nAnswer: 10625\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 198*f + 4 = 202*f, 2*f = 3*p - 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 + 90*w**2 - 23*w**3 - 90*w**2.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 n, and 1 l when four letters picked without replacement from nnlunnuq?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*k + 2430 = 66*k. Is 15 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*d + 59. Suppose d = 3*k + 2. Calculate the remainder when 4\/(6\/(-8)*32\/(-336)) is divided by k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1 + -3 + -2. Put -4, 1, l in descending order.\nAnswer: 1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 12 (b) -0.3 (c) 297 (d) 2 (e) 1\/4 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the first derivative of t**4\/4 + 2*t**3\/3 - 2*t**2 + 1. Suppose -14*i - 20 - 22 = 0. Determine k(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49060.\nAnswer: 2, 5, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 + (-9 - (-2448)\/135))\/(1\/(-5)). Let g be 2*1 - (-3 + 2). What is the closest to z in -0.02, 2\/9, g?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 24*u**2 + 171*u + 31. Give r(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - ((10 - -92 - -33) + (-5 - 9)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 9*q**2 - 58*q - 481. Determine j(-9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4537 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/4)*c)**(2\/9)\/(c\/c**2)**(-31) assuming c is positive.\nAnswer: c**(-185\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77 divided by -511.\nAnswer: -11\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -224\/1045 + 6\/55. Let n = -0.07 - -6.07. Let x = n + -5.9. Which is smaller: x or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5405833613 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3260658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -355*s**2 - 338*s**2 + 187*s**3 + 693*s**2.\nAnswer: 187*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 81778.\nAnswer: 81776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*4 - (sqrt(13) + 1 + 1) - (sqrt(325) + 0 + -5 - sqrt(325))**2.\nAnswer: -27 + 15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -421*v**2 - v + 1234*v**2 + 2*v**3 + 7 - 413*v**2 - 408*v**2 as r*v**2 + p + y*v + j*v**3 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 1.4. Let c = d - 0.5. Let n = 0.1 + -0.2. What is the nearest to n in c, -4, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 8*g + 8. Suppose -2*k = -4*k + 16. Give f(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 11 - 2 = -o, -8 = 2*o. Let c = 120 + -70. Let k be x\/(((-8)\/c)\/4). Solve 5*i + k = -0*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1571608, -6286424, -14144452, -25145692, -39290144?\n\"Answer: -1571606*j**2 + 2*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by (-1078)\/(-110) - (-3)\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -9706963100 rounded to the nearest 1000000?\nAnswer: -9707000000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0235 and -4?\nAnswer: -0.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2958 is divided by 2950.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289534.\nAnswer: 2, 7, 20681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123935, -124517, -125087, -125639, -126167?\nAnswer: -126665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 55*v**2 + 106905*v + 24446240 = 0.\nAnswer: -1679, -2912\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 707 = 10*d. Let h = 103 + d. Let u(i) = -2*i. Let s be u(-6). Solve h*j - 6*j = -s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, x: 3, v: 8}. What is prob of picking 1 x and 3 v?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*f**5 + 4505*f**4 + 106100*f**3 + 208565*f**2 + 116600*f + 9680 = 0. Calculate f.\nAnswer: -44, -1, -1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(343) - ((sqrt(7) - sqrt(63)) + 5).\nAnswer: -4 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1728272 by -1.\nAnswer: 1728272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -2, 25661, -6, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/sqrt(300))\/(sqrt(160)*4) - (1 + sqrt(72)\/sqrt(6) + 4)**2.\nAnswer: -37 - 1599*sqrt(3)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1736*q - 1403*q + 269 = -8056 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -60 - -26. Let j be 4\/2 + i\/12. Let o(a) = -4*a + 83. Let y be o(21). What is the third smallest value in y, j, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2491 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2357.\nAnswer: 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031546761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (228 - 10 + 42)*(3 - 1 - 1)*(3 - 3*u - 3)*(-5 + 3 + 4).\nAnswer: -1560*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (36\/8 - 3)*-2. Let u(y) = y**3 + 2*y**2 - 3*y + 2. Let o be u(v). Solve o*i + 4 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 2\/3 (c) -2\/3 (d) 19 (e) -2516\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d**5 + 3*d**4 - 21*d**2 - 6*d - 9*d**5 - 11*d**3 - 7*d**3 = 0 for d.\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12540966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2. Let y(k) = 84 - 84 - 5*k. Calculate y(d(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63116.83l to millilitres.\nAnswer: 63116830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 4) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -5.5. Let o = 0.205 + -1.715. Let v = 1.5 + o. What is the smallest value in h, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2. Let x(m) = m + 8. Let c(y) = -y - 6. Suppose 20*t = 21*t + 3. Let o(l) = t*x(l) - 4*c(l). Give z(o(v)).\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**2 + 3*x + 3. Let n(b) = -4*b**2 + 2*b + 2. Let u(w) = -3*n(w) + 2*t(w). Let v(j) be the third derivative of j**4\/8 + 5*j**2. Determine v(u(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 56, 153, 316, 545?\n\"Answer: 33*u**2 - 2*u + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 2*r**2 - 6)*(0 + 4 - 6) + 3*r - 3*r - 2*r**2 in the form k + x*r + w*r**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d**3 - 261*d**2 + 326*d - 72 = 0.\nAnswer: 2\/7, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-91050)\/15782 - 70\/(-91)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u - 7. Let m be d(7). Suppose m = -3*w + 3705 - 339. Suppose -w + 317 = -7*l. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170162?\nAnswer: 2, 85081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1833337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*u**2 - 103*u**2 + 327*u**2 - 109*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 93922643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mccc when four letters picked without replacement from {c: 4, m: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18948*h - 19065*h - 7488 for h.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-6)*(56 - -4). Let l be 25\/w*6\/20. What is the second biggest value in l, -0.2, -3\/2, 64?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/7 + 5\/((-105)\/6). Suppose -w - 2*w = l, -45 = -3*m - 3*w. Let s = -15 + m. Is 4\/5 <= s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/((-12)\/(-15))*(-15)\/5. Let j(u) = 2*u + 20. Let m be j(0). What is the highest common divisor of m and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 e, and 1 j when three letters picked without replacement from ebbjjyerk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(-1))\/v*v)**18)**(1\/7)*(v**(-2)\/(v\/(v\/(v*v**(3\/5)))))**(-7) assuming v is positive.\nAnswer: v**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - 1) - (-4 - (0 + -9))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2245 and 123924.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.173181056 to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1005 + 1011. What is the nearest to s in 0, 1\/4, -2\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 38*k + 23. Suppose 13 + 3 = 8*h. Let i be y(h). What is the highest common factor of i and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 29?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11220102 + -1?\nAnswer: -11220103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*n**2 + 5 - 2 - 1 - 3*n**2 in the form y*n + i + h*n**2 and give h.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y - y + z - 6, 4*y + 3*z - 10 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -360453 less than -2431894.342?\nAnswer: -2071441.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 5*w - 10, -27 - 3 = -5*i - 5*w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - -2*2)*3. Let g(n) = 2*n**2 - 2*n + 3. Let f be g(o). Suppose 3*t - 2*t = 105. What is the highest common divisor of t and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2190 and 66?\nAnswer: 24090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - ((7 - -1) + -1 - (-342 + 366))) + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**3 - 583696*d**2 + 541*d + 240 wrt d.\nAnswer: -6*d - 1167392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 54. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + 31. Let u(n) = p + 9 + 2*n**2 - n**2 + 12*n. What is the units digit of u(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1515480080 to the nearest integer?\nAnswer: 1149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -1.85 (c) -1 (d) 59\/2 (e) -0.18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2240)\/70)\/(((-32)\/6)\/8).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8113 and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -326 + 585. Let f = s - 263. What is the nearest to 1 in 1, 2\/3, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50307, 100602, 150897?\nAnswer: 201192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 34 - 28. Solve -9*m + w*m = -9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 1. Let l(j) = j**3 + j**2 + 2*j + 3. Let i be (-2)\/(-8) - 5\/20. Let p be l(i). Let a(z) = 21 - 15 - 2*z**p - z**3 + 6*z. Give -a(o) + 6*n(o).\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6\/7*g - 3\/7*g**3 - 3\/7*g**2 + 0.\nAnswer: -3*g*(g - 1)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7998 - -23903. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59\/220 + -3\/44. Let t be 3\/(-6)*-3*2. Suppose 2*l + t + 1 = 0. Which is the smallest value? (a) p (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -124.2313 + 124. Let c = n - -0.23. What is c rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 3:36 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (13 - -2)*((-4)\/(-5))\/2. Find the third derivative of -12*g**2 + 30*g**a - 42*g**6 + 0*g**2 wrt g.\nAnswer: -1440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 375 + -55?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2709856 and 608?\nAnswer: 2709856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/18825 and -20\/8283.\nAnswer: 207075","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/5)\/m)\/((m*m**2)\/m)*(m\/(m*m\/m**(-2))*m)\/m**0*(m*m\/(m\/(m\/(m\/((m*m**(-2\/3)\/m)\/m))*m)))**(-5\/21)*(m*m\/m**4)\/m*m*m*m**9*m assuming m is positive.\nAnswer: m**(1046\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - -1. Let r(v) = v**3 - v**2 + 3*v - 4. Let k be r(g). Suppose 5*c = k + 2. Calculate the remainder when 7 is divided by c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 882846 times 6\nAnswer: 5297076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -230001120012 (base 4) to base 9\nAnswer: -23637773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-125))\/(((-6)\/(-120))\/((-54)\/24))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8296 or -8297?\nAnswer: -8297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3799438926.\nAnswer: 2, 3, 31, 239, 85469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2100699\/119 or -17653?\nAnswer: -2100699\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7623 and 24.\nAnswer: 60984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*n - 12 = 5. Calculate the remainder when (-18972)\/(-108) + ((-5)\/3)\/n is divided by 59.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*f**2 - 101*f + 57*f + 219 - 147 + 4*f**3.\nAnswer: 4*(f - 9)*(f - 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129312050 divided by -35.\nAnswer: -3694630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 2*d - 4, -6*g - d = -7*g - 6 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 3*r. Let y(d) be the second derivative of -d**3\/2 - 16*d**2 + 503*d + 2. Give w(y(m)).\nAnswer: -9*m - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.9 from -84915.\nAnswer: -84915.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5910923 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 234\/(-8))\/(3\/60). Suppose 0 = -3*z - 15, 4*z + 3 = -o + 4. Suppose 8 = -4*x, -3*y - o + a = -x. Does 29 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11315?\nAnswer: 5, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 17.541\nAnswer: 0.87705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 + 18*r + 15. Let y be k(17). Factor 3920 - 280*u - y*u**2 + 65*u**2 - 28*u**2.\nAnswer: 5*(u - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -7*v**2 - 205*v + 4067. Determine o(-43).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -2*n + 4, 4*r = 5*n - 2 - 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*v + 755 = -129*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1104 and 1\/127236.\nAnswer: 508944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etvetet. What is prob of sequence ttv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.876 - -2.076. Which is the nearest to n? (a) -1\/9 (b) 5 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + -32 + (13 - 4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -166*l + 203. What is the remainder when g(0) is divided by 77?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 5*b - 89, 3*b - n - 2*n = 57. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 15 + -5 + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1b480 (base 12) to base 3\nAnswer: 2001102220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2229 + 1030 + 6355 + 399 - 87 + 2*f as d*f + q and give q.\nAnswer: 9926","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 2 + (2 - 2). Suppose 0 = 2*o - b*o - 28. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 104 = -3*z. What is the remainder when z is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2439 + -0.0561. What is the second biggest value in b, 6, -0.2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*h - 5*h. Sort 1, h, 0, 35.\nAnswer: h, 0, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcyyciqci. Give prob of picking 2 i, 1 c, and 1 q.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-21)\/42)\/(2\/(-16)). Solve x*q - 6 = -2*d, -d = d - 4*q + 10 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 50*m**5\/17 - 12610*m**4\/17 + 1025078*m**3\/17 - 26716518*m**2\/17 + 30963600*m\/17 - 540000 = 0.\nAnswer: 3\/5, 51, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 17a64 + 30a?\nAnswer: 18273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 68 + 5 + 0*h**2 + 3*h**2.\nAnswer: 3*h**2 + 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/18 and 115\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460, 457, 450, 439, 424, 405, 382?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -5339, -21588, -48755, -86840, -135843?\n\"Answer: -5459*h**2 + 128*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -121 - -39. Let r = -73 - b. Calculate the remainder when 45 is divided by (r\/4)\/((-6)\/(-16)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3 - 1, -2*d = -4*z + 12. Let g be (-17)\/4 - 2\/d. Let l(i) = -i**3 - 3*i**2 + 3*i - 1. Calculate l(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/245*10\/4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = w + 16, -w = -3*y + 69 - 15. Let l = y + -15. Solve -l*z = -z + 15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g**2\/4 - 833*g - 43485\/4 = 0. Calculate g.\nAnswer: -13, 3345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -0*h + 6. Let v be (-48)\/(-9) - (-1)\/h. Suppose 0 = b + 3*b + 3*p - 8, -v*b - 3*p + 13 = 0. What is the lowest common multiple of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 6*x**2 + 6*x - 2. Let j be y(5). Let p(o) be the first derivative of o - 3\/2*o**2 + j. Differentiate p(r) wrt r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9\/2693 - 99191\/134650. Let x = -2729\/850 - u. Let a(s) = -2*s**2 + 47. Let m be a(5). Is x smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -116 - -64. Let q = 51.8 + c. Is q less than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 0, -8 = -3*c - c + 4*z. Suppose -c*y - 2 = -2*u + 10, -2*u - 2*y - 4 = 0. What is the first derivative of -u + 2*i - 10*i**2 - 3 - 2*i wrt i?\nAnswer: -20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 939*b*l*n + 11*b*l - b*n + 30348*l*n - 2*l + n wrt b.\nAnswer: 939*l*n + 11*l - n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 1183?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -43*u + 80*u - 3626. Calculate the lowest common multiple of u and 56.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**2 + 3*t**2 - 3*t**2 + (-6 + 4 + 5)*(-2*t**2 - 3*t**2 + 4*t**2).\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b - 3. Let w = -289 - -291. Let q be 135\/20 - (25\/(-20) + w). Let i(l) = 25*l - 25. Calculate q*i(g) - 51*d(g).\nAnswer: -3*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(648))\/(sqrt(4) - -6*sqrt(100)))**2.\nAnswer: 648\/961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + a + 1)*(-20 + 21 + 17 + (1 + 1 - 3)*(-3 - 2 + 3)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z**2 + 80*z + 266. Calculate l(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.38 - 6.38. Let p = -8.4 + 8.46. Which is the second smallest value? (a) p (b) -0.06 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4441*g. Let r(m) = -3*m**2 + 196*m. Calculate n(r(a)).\nAnswer: -13323*a**2 + 870436*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 2)*(-4 + 654\/(-21)). Let w = -35 + f. Let i = -47\/4 - -11. Which is the smallest value? (a) i (b) w (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/345 and -3\/65.\nAnswer: 4485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4419579 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/((-88)\/(-6))*(1 + (17 - 19)). Let v(z) = z - 6. Let u be v(6). What is the second biggest value in u, 1, l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -1, -5, 0.4, 1234, -34.\nAnswer: -34, -5, -1, -1\/3, 0.4, 1234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(2304))\/(sqrt(8) - (sqrt(8) + sqrt(24)\/sqrt(3)*1)) - (2*sqrt(250))\/sqrt(5)*-5) + 4.\nAnswer: 4 + 26*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/84 and 67\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 2*g + 67, 91763*g - 91768*g = -3*s - 74 for s.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.24578 litres in millilitres?\nAnswer: 48245.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 210022200221 (base 3) in base 7?\nAnswer: 3365401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m - m**2 - 3 - 6*m**2 + 6*m**2 + 0*m**2.\nAnswer: -(m + 1)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 8:20 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32082 - 540187 = -13*j + 57928. List the prime factors of j.\nAnswer: 43541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.031 - 0.214. Let t = 0.019 + g. Round t to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 + h + 3. Let d be a(0). Suppose 0 = -2*x - 5*o + 104, -d*x - o + 96 = -x. Calculate the remainder when x is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.096 and -1.2?\nAnswer: -0.1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -30.005. Let a = o + 12.605. What is a rounded to zero decimal places?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27 by 31731.\nAnswer: -9\/10577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.1 + 0.97. Let l = x + 3.13. Which is the smallest value? (a) 0 (b) 1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -37672 smaller than -1318503\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16790 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219 + 636 + 177 = -805*o - 211 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5445 at most 5427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.40172 - -0.00172. Which is the closest to -0.2? (a) m (b) -3 (c) 39\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1095 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**8\/2240 - n**5\/40 - n**4\/12 + n. Let z(o) be the third derivative of w(o). What is the derivative of z(p) wrt p?\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*n - 19, 0*l + 3*l - 2*n = 0. Let s be ((-3)\/l)\/(6 - 5). Which is the closest to s? (a) 0.4 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 548 + -543.07. Let t = -5.4 + m. Let w = t + 0.46961. What is w rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by -25.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1 + -6*(sqrt(684) + -2))**2 + ((-6*sqrt(171)*2)\/((sqrt(90)\/sqrt(2))\/sqrt(5)))**2.\nAnswer: -792*sqrt(19) + 27481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/4 or -19\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 429, 2, -2\/13, 29, 4 in ascending order.\nAnswer: -0.3, -2\/13, 2, 4, 29, 429","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**3\/f*f*f*f**(-1\/14))**(-9\/5) assuming f is positive.\nAnswer: f**(-99\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-30)\/(-9)*42\/(-28). Sort -33, 4, j in decreasing order.\nAnswer: 4, j, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71408784 divided by 137?\nAnswer: -521232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one tenth of a milligram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -19 + 84 + 56*o + 82 + 13 - 31 wrt o?\nAnswer: 56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-11 + -7 - -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1504 at most as big as -1503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2300 + 200023?\nAnswer: 202323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 847375 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/174*(-64)\/320*-1*(-10)\/(-1)?\nAnswer: -1\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 76.47 - 80.3. Let y = -1.83 - s. Sort 10, 0.3, 4, y.\nAnswer: 0.3, y, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3484 - -3487. Put 8, -2, 23, h in descending order.\nAnswer: 23, 8, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10*(-120)\/192?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/52*5\/(-5). What is the nearest to 1\/3 in m, 17, -3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 3*l = -2, 5*y - 5*l = 9*y - 5018 + 5016 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/15)\/(1\/5). Suppose -3*u = -12 + v. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.728 + -31.428. What is the third biggest value in -0.5, -1, t, 3\/223, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*u + 79. List the prime factors of 583\/4 - 12\/u.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18378.896+8.01\nAnswer: 18386.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 + 2.3. Let u = x + -0.1. Let o = 0.24 + -0.22. Sort -0.5, o, u in descending order.\nAnswer: u, o, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 61097485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -8*s + 25. Determine v(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2. Let i(x) = -2*x**2 + 2*x + 1. Let g(r) = -i(r) - 3*s(r). Let b be g(-1). Solve -z + 4*y = -4*z - 35, 5*z + 4*y + 45 = b for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.3 + -0.29. Let j = 116 + -118. Let a be (j\/8)\/((-4)\/(-8)). What is the nearest to s in 0.5, a, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -29 + 15012 + -14942?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, 2601710 in increasing order.\nAnswer: -6, -3, 2601710","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of 2*g**6\/15 + 4*g**5\/5 + 2*g**4 + 8*g**3\/3 + 2*g**2 - 38*g. Suppose h(v) = 0. Calculate v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -4*w**3 + 2*w**2. Let x be k(3). Let a = x + 166. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39486 or -3395721\/86?\nAnswer: -39486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055\/7385*98\/(-20)?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*x + 27 = 106. Put -129, x, -3, 5 in descending order.\nAnswer: 5, x, -3, -129","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12728367 and 1182?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2201 (base 5) to base 10.\nAnswer: -301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 - 5*t**4 - 14*t**3 - 5*t**4 + 3*t**3 + 9*t**4 - 9*t**2.\nAnswer: -t**2*(t + 1)*(t + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 4*m**2. Let f(t) = -1. Suppose w - 2 = -2*x + 16, 4*x = -4*w + 32. Let u(z) = 2*z - 10. Let n(a) = x*f(a) - u(a). Give n(g(j)).\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t - 19. Let p be i(-9). Let s(x) = x**2 - 6*x + 7. Let l be s(6). Let c = l - 5. Put p, -2, c in increasing order.\nAnswer: -2, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*w - 2*b + 7 + 7 = 70*w, 326 = -w + 36*b for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-1))\/((-9)\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1917 - -2017. Suppose 2*h = -0*h + 180. Let q = u - h. Solve -q = o + o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 0*m + m)*(305*m**3 + 381*m**3 - 272*m**3).\nAnswer: 414*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c**2 + c. Let u be d(-2). Let s = -7 + u. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 229 + -19504098.\nAnswer: -19503869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*j - 52 + 192. What is the remainder when (1 - 0)\/((-1)\/(-18)) is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 17*h**3\/6 + 45*h**2\/2 - 13*h. Let u(a) = 4*a + 11. Let y(w) = -2*l(w) + 9*u(w). What is y(-7)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1038 is divided by 95?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -74.\nAnswer: -74, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/98490 and 23\/2180850?\nAnswer: 15265950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) 0.09 (c) 3\/4 (d) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -3, 1, -57\/58, -0.3.\nAnswer: -36, -3, -57\/58, -0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6366639?\nAnswer: 3, 2122213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -34974435 divided by -23055?\nAnswer: 1517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 - 4*c**2 + 2*c + 1. Let u be a(3). What is the units digit of (u\/5)\/((-4)\/140)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-50)\/60)\/((-1)\/3). Let w = 6 + -3. Which is smaller: w or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 + 6 - 29 + 113*x)*(1 - 1 + 2) to g + y*x and give y.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 897 divide 230093058?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) - 2*sqrt(95))*1)\/(sqrt(640)\/sqrt(8)) + 5 + sqrt(2736)*-2 + 4*(sqrt(2736) + sqrt(2736) + sqrt(2736)*-1) + -3)**2.\nAnswer: 95*sqrt(19) + 171539\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 1063*p**2 + 268*p - 1040. What is the hundreds digit of d(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 11 = 2*w. Let k be 6*(-6)\/(-9)*9\/12. Solve 4*p - k + w = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1890 = d + 2*g, 5*d - 8*d - g + 5690 = 0. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 4279*p - 77345. Calculate j(18).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3846721 to the nearest integer?\nAnswer: 1961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 803?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x)**(-24) assuming x is positive.\nAnswer: x**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, 4, 48, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*h**3 + 37*h**3 - 69*h**3)*(-3*h**2 - 2*h**2 + 7*h**2)*(-1 + 1 + 3).\nAnswer: 108*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -241, 0.25501, 0.4?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96910.4 micrograms to tonnes.\nAnswer: 0.0000000969104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -141, -210, -279?\nAnswer: -348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*m + 40 = 0, 0 = 3*m - 540 + 549 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7)\/s*s*s\/(s\/s**0))\/(s*s**(1\/2)*s*s*s\/s**(-2\/9)))\/(s**5*s**6*s)**(-24) assuming s is positive.\nAnswer: s**(35657\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106*r + 0 - 2 - 102*r - 9.\nAnswer: 4*r - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7 + (8\/4 - -87)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14b00 (base 12) to base 5.\nAnswer: -1413412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -148026.704489.\nAnswer: -148008.704489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 68, 100, 132, 164, 196?\nAnswer: 228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1189*221\/(-144976))\/(1\/32)\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-504)*6)\/((-12)\/56*-10).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.06, 7, 447, 1\/4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20 - 16. Solve -u + t*q + 2 - 7 = 0, 0 = -4*u - q - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 8 = -2*g + 2*o, -o = -4*g + 4. Which is greater: 12\/11 or g?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s. Let w(r) = -r**2 - 6*r + 8. Let f(b) = b**2 + 70*b + 697. Let k be f(-58). Determine k*w(g) + 5*j(g).\nAnswer: -g**2 - g + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -99\/65 - -12\/13. Which is the biggest value? (a) j (b) 8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -14. Which is bigger: -0.7 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -4*a - 6, 0 = 7*x - 2*x - 3*a - 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*x**4 + 40*x**3 - x**2 - 106389*x wrt x?\nAnswer: -288*x**2 + 240*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -10*b + 121. Let y = 3 - 2. Suppose s + r - 1 = -r, s - y = -3*r. Calculate the remainder when u(12) is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.8 in -3\/4, -3\/80, -0.12, -3\/7?\nAnswer: -3\/80","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827276 is divided by 616.\nAnswer: 604","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/5 or 77364?\nAnswer: 77364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/30*(-534)\/(-356).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 - 3*l + 3*l + (-5*l + 5*l + l**3)*(0*l**2 + 2*l**2 - 3*l**2) - 2*l**5 + l**5 + 3*l**5 + 20*l**5 - 65*l**2 + 65*l**2.\nAnswer: 22*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 121012100000 (base 3) to base 9\nAnswer: 535300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + -4 - (-18 + 3 + -6)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, -50, 12 in increasing order.\nAnswer: -50, -42, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 16 = 5*t - 2*f, 3*f - 19 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13837.4547 + 13835. Let g = y + -0.0453. What is the smallest value in -0.5, g, 0.3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/2)\/(5\/(-150)). Let r = p + 15. Let g be 2 + r*(-2)\/6. Solve 2*s - s = g*o - 1, 0 = 2*o + s - 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/30*5990\/12. Let r = h + 100. What is the second biggest value in r, 0.04, -0.3, -2\/11?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - 47*c**2 + 126*c + 307. Let d be y(44). Solve -l - d*i = -44*i + 6, -14 = 3*l - i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22036717 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m**2 - 4. Let a be (-12)\/(-48) + (-1 - (-305)\/(-4)). Let n = 73 + a. Let b(v) = 14*v**2 - 11. What is n*b(y) + 11*j(y)?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/320 and 39\/64.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(320))*-6)**2*6 + (-2*sqrt(250))\/(sqrt(162)*-2).\nAnswer: -31099*sqrt(5)\/9 + 69336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/6684 and 17\/629967.\nAnswer: 2519868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -139\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to 2\/3562689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 minutes before 5:18 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is -29 - -29 - (1 + 1 + -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (99 - (127 + -79)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + 71*s + 17 - 149, -1 = -4*d - 2*s + 23 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1059\/58 + 486\/29. Which is the nearest to -1? (a) -1\/3 (b) x (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18748 - 18749. Let c(q) = -4*q**3 - 21*q**2 + q - 1. Let i(d) = d**3 + d**2 - d + 1. Give k*c(z) - i(z).\nAnswer: 3*z**3 + 20*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m + 6. Calculate c(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 c, and 1 b when four letters picked without replacement from {d: 6, a: 2, c: 2, z: 3, b: 5}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2761*f + 2779*f - 18. Which is the closest to -2? (a) f (b) 2\/9 (c) -0.5 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -725 - -722. Let b be 3\/27*-3*n*-1. Which is smaller: b or -1\/56?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v. Let b(f) = -366184*f. Calculate b(m(x)).\nAnswer: 1464736*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -626429 - -1156470. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 36 + 33 + s to i*s + v and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -7*a**2 - 5*a + 1. Suppose -f - f - 12 = 0. Let m(j) = -1 + 0 + 4*j - 416*j**2 + 137*j**2 + 140*j**2 + 145*j**2. Give f*m(x) - 5*c(x).\nAnswer: -x**2 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**3 - 13*p**2 - 8*p + 10. Let i be x(-9). Suppose 3*z = 12, t - i = 5*z - 2*z. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/2 - -3*(-4)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, i: 2, m: 1, s: 1, f: 1}. Give prob of sequence mfg.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -4*f - f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of 1\/60*c**6 + 0*c**2 - 4*c - 1\/24*c**4 + 0*c**3 + 0*c**5 + 0. Solve b(j) = 0 for j.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 724.136 centuries in millennia?\nAnswer: 72.4136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -24*s**5 - 5096*s**4 + 8546*s**3 - 3000*s**2 - 854*s + 428 = 0.\nAnswer: -214, -1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4366505 is divided by 1531?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, 3, 2\/5.\nAnswer: -201, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 174*w - 573*w - 1 - 671*w + 184*w + 2.\nAnswer: -886*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 7520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, c: 7, e: 6}. What is prob of picking 1 a and 1 c?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 - 21*m**2 + 30*m - 24. Let w be y(9). Solve -3*c + w*v = -9, -15 = v - 17 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 338 + -342. Put 22, 3, v in descending order.\nAnswer: 22, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720 divided by 10?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppfx when four letters picked without replacement from {s: 3, f: 2, p: 4, x: 8}?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106177677 divided by 195539.\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i**3 - 4*i**2 + 4*i**2)*(2*i + 0*i - i) - 3*i**3 - 4*i**4 - 19*i**3 + 12*i**3.\nAnswer: -3*i**4 - 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, m: 3}. What is prob of sequence mmb?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 1 = 2*n + 11, -5*n = 3*k - 14. Which is the closest to 2\/5? (a) n (b) -0.3 (c) -1 (d) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, v: 3, x: 5}. What is prob of sequence vu?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33.8 + -34. What is the biggest value in -1, -2\/13, 12, x?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s - 9. Determine o(5).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*t = 3*q - 111*t - 27, 3*t - 6 = 5*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.99?\nAnswer: -0.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 886356 divided by -3?\nAnswer: -295452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -1, 559, -5\/6, -5 in decreasing order.\nAnswer: 559, -1\/5, -5\/6, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 198 = -2*v + v, -396 = -2*v - 2*k. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n + 34*n + 360 = 0 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149*l + 159*l + 20 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9702.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from npnnnnnpnnpnnnnnnp.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**3\/3 - 9554*v**2\/3 - 6372*v.\nAnswer: 2*v*(v - 4779)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*h*n**3 - 3*h*n**2 + 6*n**3 + 33*n wrt n.\nAnswer: -60*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 2*l**2 - 5*l - 17. Determine p(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Suppose 24 = -r*n + 84. What is the remainder when n is divided by 12*(4\/(-20))\/(2\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0\/11)\/(1 + 0). Let g be (3 + 3)*2\/4. Suppose 2*h = -g*h + 25. Solve q + c + h = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 3 = -5*v, -2*v + 7 = h + 11 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15491831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9 times 2?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/47, -0.098, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**3 + 213288*y**2 - 2824373412*y - 503718336704 = 0. Calculate y.\nAnswer: -176, 26749","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -43. Suppose -5*p + r = -17. Is p a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/16 and -14*(292\/240 + -3 + 2)?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252) + 2 + (-1*sqrt(112))**2.\nAnswer: 6*sqrt(7) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-374)\/17*3\/30*5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*y + 236 + 39 = 0, 190 = 3*l - y. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 195323*q + 2148557. What is g(-11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 248 + -247.9. Let k = 6.5 + -19. Let b = 12 + k. What is the second biggest value in b, p, 1, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {n: 3, b: 1, z: 3}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -214144040 (base 5) to base 9\nAnswer: -1664003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 57740 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371*i - 4*m + 13 = -372*i, -2*m + 24 = -4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**3*y**3 - 201*b**3*y**2 - 8*b**3 - 14*y**5 - 140*y + 1 wrt y?\nAnswer: 6*b**3*y - 402*b**3 - 280*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*n = 12, t + n = -0*n + 1. Let x(f) = t*f + 9 - f**2 + 8*f - f. Let r be x(9). Calculate the highest common factor of r and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 5*w - 42, 10*g - 6*g = -3*w + 34 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1813 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 3)*(34*u + 26*u - 7*u)*(-37 + 5 + 898*u - 900*u) as h*u + y + v*u**2 and give v.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 31*q**5\/5 + 22*q + 22. Differentiate m(b) with respect to b.\nAnswer: 124*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -54. Let z(y) = 3*y - 3. Let s be z(3). Suppose -k = -s*k + c. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 19*z. Let c(w) = -5*w. Calculate n(c(v)).\nAnswer: -95*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, -0.3, 0.3, -1523, -2\/11 in ascending order.\nAnswer: -1523, -0.3, -2\/11, 0.3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 77883 to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 48*m**2 + 288*m - 870. Calculate the remainder when w(3) is divided by 99.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1435 or 1478?\nAnswer: 1435","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30685 is divided by 112.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:52 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*u**2 - 8\/5*u + 8\/5.\nAnswer: 2*(u - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 22*c - 1. What is the tens digit of m(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9657, -19552, -29411, -39216, -48949?\nAnswer: -58592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 1 (c) 4 (d) -12.814 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 + 3*h - 5. Let v be z(0). Which is the closest to 3\/2? (a) v (b) -1\/4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -72*t**3 - 40*t. Let k(r) = -r**3 - r. What is 80*k(j) - 2*w(j)?\nAnswer: 64*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/(-2 + (-68)\/(-32)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1 + -8 - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-39)\/104*(-4)\/(-1)*4\/(-24).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.07 + -8.93. Let j = 8.1 + f. Let w = -0.4 - j. Which is the second biggest value? (a) w (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009676261377 rounded to six decimal places?\nAnswer: 0.009676","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2736))*2.\nAnswer: 6 + 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 4*j**3 - 7*j**2 + j + 26. Let q be o(8). Let a = 2446 - q. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 23. Let g = 14 - w. Is 7 a factor of 31 - g\/(-20)*0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-14)\/(d\/d**(-2\/31)) assuming d is positive.\nAnswer: d**(-467\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20349\/1612 - 164\/13. Let v = u + -507\/1364. Is v <= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*d)*(-5 - d**4 + 5) - d**3 + d**3 + 2*d**5 - 482*d**4 - 500*d**4 - 123*d**5 + 987*d**4 + 752*d**5.\nAnswer: 633*d**5 + 5*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -13. Let l = -1280 - -1308. What is the greatest common divisor of k and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**0)**20*(s**(2\/5))**41)**23)**(3\/4) assuming s is positive.\nAnswer: s**(2829\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -7523*q. Let v(w) = -50*w. What is v(y(c))?\nAnswer: 376150*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - (21 + -8)) + -10 - (3 + -10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17678\/9 - 1964. What is the closest to 0 in q, 1, -10?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11917905 divided by -3972635?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 6*i + 5*i = 2*i - 1, 4 = -4*m + 3*m - 2*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 48 = -2*h. Suppose h = 3*y - 3*w, w = 5*y - 2 - 6. Suppose d + 4 = v, -v - 4*d = -y + 22. Let x(n) = 3*n**2 - 2*n - 1. Calculate x(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.19 + 0.11. Which is greater: h or 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n + 5*b - 3015 = 0, 1829 = -3*n - b. Let x = n - -1290. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p - 3*c - 30, 10*c + 3*c = 9*c - 20 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -11. Suppose -5*t + u = -14. Suppose -3*b = -t*b + 48. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 a when three letters picked without replacement from {h: 1, d: 1, k: 2, r: 2, a: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 39367541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 23590292*p**2 + 18608*p - 18608. Let t(c) = -13945*c**2 - 11*c + 11. Determine -18608*t(v) - 11*x(v).\nAnswer: -4652*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + 2*sqrt(252)*-6 - ((sqrt(252) - (sqrt(252) + 2 + (1*sqrt(252) - sqrt(252)))) + -1)*-5)**2.\nAnswer: 2736*sqrt(7) + 36649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**5\/5 - 2*y**4 - 5*y**3 + 2*y**2 + 24*y\/5 = 0. What is y?\nAnswer: -2, -1, 0, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 43002424 (base 6) in base 16?\nAnswer: 133b10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-15)\/3*36\/(-10). Let j be f\/4*8\/12. Suppose -1 = j*k - 7. Solve 2*w + k = w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 3281090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0*((-8)\/32 + (-2)\/8). Solve h = -v + v - 7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0 = 10. Suppose 2*s = -k*s. Which is the third smallest value? (a) 0.3 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 351*d**3 - 63*d. Let n(h) be the first derivative of -11*h**4\/2 + 2*h**2 + 77. Give -4*f(u) - 63*n(u).\nAnswer: -18*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14\/117 + 817\/5850. Let x(z) be the second derivative of 2\/15*z**3 + 0*z**2 + g*z**5 + 0 + 2*z + 1\/10*z**4. Factor x(r).\nAnswer: 2*r*(r + 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 4*t**2 + 1 + 3*t**2 + t**3 - 7*t + 6. Let k(a) be the second derivative of -a**5\/20 - a**4\/2 + a**3 - 3*a**2 - 3*a. What is -7*k(f) - 6*m(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + -39 + 26 - (0 + 17).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1ac - -11cf?\nAnswer: 137b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20742.\nAnswer: 2, 3, 3457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 8:49 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*a = -25580, -4*o + 2661 = 2*a - 22955. What is the hundreds digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 1. Let k be o(1). Suppose 3*b = -k*b + 20. Solve 0*p = b*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/5)\/(-3)*(-735)\/(-294). Solve 8*w - 23 = 4*t + 3*w, c*t = w - 9 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.04 (b) -3 (c) -6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t + 3*t - 16*t**2 - t.\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 9:48 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 0 + 3)*(p - 1 + 1 + (-p + 0*p + 2*p)*(-2 - 18 + 0)) to the form s + h*p and give h.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**4*f**10 assuming f is positive.\nAnswer: f**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 65539009 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19480\/3 - 1947859\/300. Find the common denominator of z and 91\/22.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7814?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7 * 179.\nAnswer: 125.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/26 and -131\/2127190.\nAnswer: 2127190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11676.81 grams in kilograms?\nAnswer: 11.67681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 + 146*z**2 + 412*z - 560 = 0. What is z?\nAnswer: -70, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.986*26.\nAnswer: -25.636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - t**2 - 110*t**4 - 115*t**4 + 15*t**3 + 341*t**4 + 2*t - 111*t**4 in the form y*t**3 + g*t + f*t**4 + j*t**2 + n and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + 5*m - 102. Let f = -29 + m. Let o(g) = -g**3 + 6*g**2 - 3*g - 12. Let j be o(f). Are -10 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1284 and 57\/32.\nAnswer: 10272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((10\/(-75))\/2). Suppose -g = -25*a + 20*a. Sort a, 0, 5 in decreasing order.\nAnswer: 5, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4, d: 2, b: 4, c: 2}. What is prob of picking 2 d?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 57166751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -4, -3 in ascending order.\nAnswer: -4, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 5*p - 3*p - 1 + 2. Let r be y(1). Let s = 1100 + -1101. What is the nearest to -1\/3 in 2, s, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.8 - -12.9. Let g = p + -9. Is -3 less than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7 and 3590\/503 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55412?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + p = -64203, p + 20871 - 106468 = -4*o. Round o to the nearest 1000.\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 565 - 365. Suppose 2*d + 116 = 5*n + 6*d, -d = -4. What is the greatest common factor of j and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 - 4*k - 4. Let r(p) = 4*p**2 - 9*p - 9. Let u(f) = -9*h(f) + 4*r(f). Let i(n) = 21*n**2 + n. Calculate u(i(o)).\nAnswer: -882*o**4 - 84*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 13*f**2 + 7*f - 17. Let w(r) = r**3 - 4*r**2 + 12*r - 9. Let o be w(4). Suppose -12*i = 183 - o. What is the tens digit of c(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1554 + 7771\/5. Let h(i) be the first derivative of -2\/5*i**3 + 0*i**4 + 0*i + 8\/25*i**5 + k*i**2 + 3. Factor h(m).\nAnswer: 2*m*(m + 1)*(2*m - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -121790058, -121790057, -121790056, -121790055, -121790054, -121790053?\n\"Answer: s - 121790059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12249, -17289, -22341, -27411, -32505, -37629, -42789?\nAnswer: -47991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -4. Suppose 4*c - 2*c = u. Let v(p) = p - 9. Calculate v(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37945 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 17613*g + 337. Let k be x(-9). Let i = -45239531\/286 - k. What is the common denominator of i and 43\/14?\nAnswer: 2002","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 1:27 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.026386 and -171?\nAnswer: -4.512006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3, 1\/4, -6226\/19, -5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -1290?\nAnswer: -1293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4092)\/198)\/(42\/63)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011 a factor of 163701515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-3)*39\/(-26)*2986.\nAnswer: 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-180))\/(2\/42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3*m = 114, t - 80*m - 13 = -76*m. Solve t*b - 115 - 149 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-345)\/(-75) + 7807\/(-1295)?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 487 + 2*d**3 + 0*d**2 - 246 - 253 - 6*d**2 as w*d**3 + u + y*d**2 + z*d and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 4*j**2 + 3*j**2. Let d(f) = 3*f + 4. Let z(n) = -5*n - 7. Let y(b) = -7*d(b) - 4*z(b). What is y(g(h))?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*t - 2*t. Let z(s) = s + 17. Let q be z(-9). Solve t*k + 0 = -q for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1526 - 1522. Solve -w*j + 3*q = -8, 4*j = 2*j - q + 14 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 8:17 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-20)\/14*(-91)\/104. Suppose 0 = s - 4*l - 10 - 8, -y*s + 2*l + 18 = 0. Solve u + 0 - s = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 - 20*d**2 - 21*d - 2. Let p be u(21). Is p + (72705\/3 - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.66519929*3.\nAnswer: 7.99559787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5384535431 to the nearest integer?\nAnswer: 73379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - s = -0*m + 755, -4*m + 746 = 2*s. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50254200.\nAnswer: 2, 3, 5, 27919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.242 (b) 0 (c) 2 (d) -3\/5 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50604483 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 12*r**2 - 12*r + 20. Let x be c(14). Suppose x = -12*n + 2248. Are 167 and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2 - 155*w + 160.\nAnswer: -5*(w - 1)*(w + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 18469 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from {z: 1, i: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/1980 and 23\/210.\nAnswer: 13860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - -11) + (1 - 1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 58605\/(-36) + 3 + -2. Let b = -1630 - d. Find the common denominator of 77\/62 and b.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (604 + -1)*(-14 - (-572)\/39). Put 2, b, -3, 5 in descending order.\nAnswer: b, 5, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seventy-two fifths of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10.7793198 - 0.5\nAnswer: -11.2793198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 13*i - 9. Let d(s) be the first derivative of 2*s - 6*s + 1 + 3*s**2 + 0*s. Suppose -5*n + 13 = -7. Determine n*p(m) - 9*d(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11828775?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*m = -39*m + 84 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -185*f**2 - 1273*f - 74. Determine g(-7).\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7150315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314*z = -49*z - 122*z. Suppose 2*c - 26 = -4*l, 9 - 1 = -3*l + 4*c. Solve 0 = -z*f + l*f + 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1231 (base 8) to base 2.\nAnswer: 1010011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 280723 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1834083 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 > 53203?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4735*u**3 + 4*u**2 - 118*u - 249. What are the prime factors of f(-2)?\nAnswer: 43, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23168449 and 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36\/2395 + 105272\/7185. Let y(a) be the first derivative of 37 + 3\/2*a**2 + 0*a + q*a**3. Find the second derivative of y(k) wrt k.\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 + 14 + -33.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ibi when three letters picked without replacement from {n: 4, b: 4, i: 6}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 5*x + 45, 38 - 1 = 5*h - 3*x. Find c such that 1 - h*c - 7*c**2 - 10*c**3 - c**5 + 11*c**2 + 6*c**2 + 5*c**4 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.033, -361, -0.2, -1\/4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 3 = 5*q. Factor -q*s - s**3 + s**3 + 6*s**2 - 6 + 3*s**3.\nAnswer: 3*(s - 1)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 9. Let x(y) = -y**3 - 20*y**2 - 39*y - 43. Let l be x(-18). Determine k(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 5*w. Let m(t) = 7395*t - 4. Calculate r(m(o)).\nAnswer: 36975*o - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 17419*h - 226464. Give p(13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -2845 and 120230.\nAnswer: 117385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 169691471 a multiple of 3488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 384.244 - 381. What is m rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 12*f**3 + 903*f**2 + 265*f + 3003. What is s(-75)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from fdffipn.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -0.4, 2\/9, -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6508, 13017, 19528, 26041, 32556, 39073?\nAnswer: 45592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5921 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2003647021?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 2:13 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**4 + 1320*k**3 - 26112*k**2 + 143128*k - 230340 = 0. What is k?\nAnswer: -349, 3, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -61 + 61. Sort i, -3\/4, -25, -10 in decreasing order.\nAnswer: i, -3\/4, -10, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1184, -5511, -12714, -22787, -35724?\nAnswer: -51519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(273\/14))\/(4\/3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/(-2) - (-10293)\/444. Let x = i + -312\/37. What is the common denominator of x and 26\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)*1 + sqrt(24))\/sqrt(8).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -345*w + 2441. Let f be l(7). Let m be (-130)\/4*(-8)\/10. What is the highest common factor of m and f?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12ad - 6e1?\nAnswer: -198e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, 8, 29, 58?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -439\/28772 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2\/(-4)*(3 - 5) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -x**4 + 60404*x**2 - 43*x + 88440842.\nAnswer: -4*x**3 + 120808*x - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -14 + (-66)\/11. Let u be (2 + 64\/n)*20\/(-36). Are -87 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -11, -3, 84 in decreasing order.\nAnswer: 84, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 139571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 118 and 122310?\nAnswer: 7216290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 22\/(-55) - ((-96)\/(-40) + -3)?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + (-118997)\/29754)*-4*(-52798)\/140. Let p be (-3041)\/(-12180) + (-3)\/12. Let o = y + p. What is the common denominator of o and 53\/12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70321473.\nAnswer: 3, 2604499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1472 or -1483?\nAnswer: -1483","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 681318276 to the nearest integer?\nAnswer: 26102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 31459 (base 10) in base 11?\nAnswer: 216aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**3\/5 + 138*k**2\/5 + 462*k - 490 = 0.\nAnswer: -35, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/2)\/(2\/(-20)). Let j be 0\/((-2)\/4*-4). Suppose j + 10 = k*q. Calculate the lowest common multiple of 3 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/((-463372)\/910)*4\/30*6.\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -2*q - 29 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of c**6\/15 - 1633*c**3\/6 - 955*c**2\/2 - 18*c - 133. Differentiate a(b) with respect to b.\nAnswer: 8*b**3 - 1633","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -4. Suppose -4 = -r*j - a - 5, 0 = 2*j - a + 3. Let g(f) = -2*f. Let p be g(-2). Put p, -4, j in decreasing order.\nAnswer: p, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1949224 a multiple of 668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of 1\/2*r**4 + 1\/2*r**3 - 11\/2*r**2 - 1\/20*r**5 + 0 - 8*r. What is the smallest common multiple of 14 and m(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -17, -2\/5, -10, 0.8?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520555\/29 - 78\/(-1131) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/((-60)\/(-9)))\/(111\/74)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 33*k + 1 + 71*k - 32*k.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/(-1))\/((-9)\/6). Suppose -k = -o*k. Suppose k = 4*u - u - 9. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 7. Let m(d) = -2 - d + 5*d - d + d**3 - d**2 + 0. What is the units digit of m(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 20 = 4*s. Let w(i) = 4*i**3 - 5*i**3 + 0*i**2 - i - 4*i**2. Let r be w(s). Solve 8 = -4*p + 4*b, -r*p - 4*b - 16 = 16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 74 = 4*k, -3*v - 4*k - 235676 = -235565 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 108 and 516.\nAnswer: 4644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 422380?\nAnswer: 2, 5, 7, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26754664 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50 + -52. Let r(f) be the second derivative of f**3\/2 + f**2\/2 + 22*f + 3. Calculate r(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403131849 to the power of 1\/6, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yfyy when four letters picked without replacement from {y: 8, f: 10}?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c - 62 + 7*c - 2*c + 8*c.\nAnswer: 16*c - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-5 + (sqrt(48) + -4 + sqrt(18)\/sqrt(6) + -5 + (1*sqrt(192) - 2*sqrt(3)*-2))**2).\nAnswer: -306*sqrt(3) + 943","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 45 = -t + 2*t, i - 15 = -t. Let j = 2216 - 2212. Solve -j*l - l = 2*p - i, 2*l - 7 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 566132?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 5, h: 9}.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*1 + 2\/(-2). Let i = 26795.7 + -26796. Put i, a, 3, -0.5 in decreasing order.\nAnswer: 3, i, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -139*f**3 - 589672*f*t + 870218225*t wrt f?\nAnswer: -417*f**2 - 589672*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - ((-1)\/6 - (-284)\/(-24)). Let m be c\/35 + 4\/(-10). Let w(x) = -x**3 - x**2 + x + 16. Give w(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26357.33ng in micrograms?\nAnswer: 26.35733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9*(-9)\/(-2268))\/(47\/1880).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 + 11*o**3 + 1459*o - 104*o**3 + 1440*o.\nAnswer: -89*o**3 + 2899*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105*19*(-70)\/(-1710)*(-3)\/(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42 - 14. Let d = u - 31. Is -2 + -1 - (-146 + d + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(128) + sqrt(128) + 1 + -4 + sqrt(128)*1*3))**2*3.\nAnswer: -11520*sqrt(2) + 154032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -3*y**2\/2 + 357*y\/2 + 180 = 0?\nAnswer: -1, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 8 = -0, -3*o - 2*x = -13. Solve o*c = 4 - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((2\/(-4))\/(3\/(-6))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 6. Let r = 6243 + -6243. Solve r*f - u*f = 18 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -34. Suppose 2 = -2*c + 4*l, -6*c - 29 = -c + 2*l. Put c, -4\/7, r, 4\/7 in decreasing order.\nAnswer: r, 4\/7, -4\/7, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 19\/5, 15, 0.2, 0.09, -0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -25 - (-834 - -848).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -19.8. Let h = g + -6.2. Which is the closest to -1\/3? (a) h (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2012 = -2*l, 29*l - 33*l - 2506 = -5*b. What is the greatest common divisor of b and 1840?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 1. Suppose -5*p - 3*t + 13 = 0, n*p - 19 = 2*t - t. Let i = -1 - 4. Sort i, p, -3 in ascending order.\nAnswer: i, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 64713?\nAnswer: 64713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1562928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/9*-3 - 3. Solve 2*p = 4*p + 5*m - 21, q*p - 3*m + 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01202 + 0.06811. What is t rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6\/25, 0.2, -5, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.3 + 0.1. Suppose -2*c = -5*c + 27. Let r = c + -9. Which is smaller: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1622041331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 219 + -215. Which is the nearest to 0.1? (a) -1 (b) l (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21102, -21104, -21106?\n\"Answer: -2*o - 21100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**3 - 2*t**2 + t + 2. Let p be (-2)\/4 + (15\/2)\/(-5). Let l be z(p). Suppose 0 = 5*m - l*m + 12. Solve -3*i = -m*b - 0*i, -3*i = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5270*f**2 + 12*f**3 - 5269*f**2 - 5*f + 3*f + (3*f**3 - 3*f**3 + 2*f**3)*(0 + 3 - 4).\nAnswer: 10*f**3 + f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 0.2 (b) -0.1 (c) 3 (d) 5 (e) 28398\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**2 - 1064*y - 55980 = 0. What is y?\nAnswer: -45, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4*h - 74 = d, 2*d - 48 = -4*h. Suppose 48 = d*f - 25*f. Let c = -5 + 13. Calculate the greatest common factor of f and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-6) - (-40)\/6. Suppose 4*h - q - 12 = 5, 2*h - 3*q - 11 = 0. Let k be (h + -6)\/((-2)\/4). Solve u - k = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 2:54 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 454 + -461. Let f be 1196 + 3 + (1 - (-7 - k)). Round f to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -4599*g + 1. Let m be p(-1). Suppose -24*x - m = -34*x. What are the prime factors of x?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1349, -4, 1, 2, -1\/4 in increasing order.\nAnswer: -4, -1\/4, 1, 2, 1349","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22629 and 2035419?\nAnswer: 1191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express s**2 - 32*s + 30*s - 20*s**4 - 55*s**3 + 2*s**2 + 19*s**4 - 4*s**2 + 1 in the form n*s + l*s**2 + j + d*s**3 + o*s**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 714?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d05a6 - 1?\nAnswer: d05a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 132*a**5*g - 136*a**4 - 2*a*g - 5*a + 9*g - 155 wrt a.\nAnswer: 2640*a**3*g - 1632*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*h**2 + 4\/15*h - 16.\nAnswer: 2*(h - 10)*(h + 12)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 178.7844 and 0.03?\nAnswer: 5.363532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 - 18*l**2 + 23*l - 67. Let w = -476 - -493. What is the lowest common multiple of a(w) and 21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26*i**3 + 703211*i - 73559035 wrt i?\nAnswer: -78*i**2 + 703211","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 30 = -38. Suppose 15*q - v*q = -8. Let l(x) = -6 - 3 + 9 - q*x. Let n(i) = 2*i**2. Calculate l(n(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3\/9 + 808*b**2\/9 + 13328*b\/3 - 9248.\nAnswer: 4*(b - 2)*(b + 102)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -16156*m**2 + 16*m. Let l(p) = 5385*p**2 - 5*p. Give 16*l(t) + 5*n(t).\nAnswer: 5380*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 3*((4*-3*sqrt(1100) - sqrt(1100)) + sqrt(1100))**2)*-6.\nAnswer: -2851200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5466586*v**3 - 5436190*v wrt v?\nAnswer: -32799516*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/2*(-2)\/2. Solve n*a - 13 = -3*k, 13 = -a - 3*k + 8*k for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 46*w. Let f(m) = -4*m**2. Determine l(f(i)).\nAnswer: -184*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 3*z - 1. Let w be a(2). Let t be w\/(-3) + (-11)\/(-33). Suppose 0 = g - t - 3. Solve -14 = g*o - 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1284 - -10434. Is 28 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 + 1. Let o = -90.8 - 60. Let g = o - -151. What is the nearest to z in g, -1, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + -1. Let s = v - -2. What are the prime factors of (s\/(-6))\/((-3)\/117)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**3\/9 - 10*y**2\/3 + 4000\/9 = 0.\nAnswer: -10, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2639 and 273?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 11*w**2 - 7*w + 15. Give o(11).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14472130 is divided by 61.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/(-30)*(-9)\/15. Let o be (-1 - 0)*205\/(-5). Let h = o - 941\/23. Which is smaller: h or t?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (42\/(-28))\/((-3)\/(-8)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (15 - 8) - (3 - 52).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (25 + (-37 - -35)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/356 and -55\/12?\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20520560 and 120?\nAnswer: 61561680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 12:00 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365 = 16*n + 57*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(30))\/sqrt(5))\/(sqrt(108)*5))**2*-1.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2 + 86*j*w**3 - 79*j*w**2 - 9*j - 62078691*w**3 wrt j?\nAnswer: -4*j + 86*w**3 - 79*w**2 - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 21012 (base 3) to base 16\nAnswer: c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29151 + 23451 - 27310 = -1028*y - 55920 for y.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7607 - 7607. Let i(q) be the third derivative of 0*q - 13*q**2 + 17\/210*q**7 + 0*q**5 + 0*q**4 + 11\/3*q**3 + x*q**6 + 0. Differentiate i(b) wrt b.\nAnswer: 68*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17 + 20. Let y = 8.1 - 3.1. Sort -2, b, y in descending order.\nAnswer: y, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 9*n**2 + 2*n + 10. Let r be m(-9). Let y(z) = z + 12. Let w be y(r). Solve o + 4*p - 28 = -8, -p + 5 = -w*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*5\/(-10))\/(3\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.082190264 + -390?\nAnswer: -389.917809736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.5 (b) -3\/7 (c) 0 (d) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 932.\nAnswer: 2, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m - 32. Let g be a(11). Let u(f) = -16*f + 83. Let q be u(5). Put g, q, 0, 54 in decreasing order.\nAnswer: 54, q, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 205, 271, 381, 535, 733?\n\"Answer: 22*z**2 + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -3*y + 15. Let m(j) = 1. Let a(d) = c(d) - 15*m(d). Let v(l) = 2*l. What is v(a(w))?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.01 (b) -2\/11 (c) 1\/6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11990 - -0.17\nAnswer: 11990.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 2*p + 5. Let w(b) = -2*b**2 - 4*b - 9. Let t(a) = -7*c(a) - 4*w(a). Let g be t(-7). Let k = -24 + g. Does 4 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(73 - 66*b - 73).\nAnswer: 66*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 30 = -2*y, 2*y + 10 = b + 35. Find the second derivative of -141*p**2 + y + p + 0 - 2 - 5 - 8 wrt p.\nAnswer: -282","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -4, 1, -0.5, 7\/2, 7.88?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 9*w**2 - 1176*w - 3061. Calculate r(133).\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -6*2\/(-14)*21. Suppose -3*i + i = -14. Suppose -i = -5*b + g. Solve -b*d = -2*x + 2, -4*d - 1 - 3 = -x for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 17*d - 2. Let p be k(11). Let a = p + -35. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 5*o - 9. Let k be y(2). Solve 3*i = -k*z, 6*z - 2*z = 2*i - 22 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19873 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/23*2\/8*(-20)\/15.\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -8*r - 3 + 5*r**2 + 1 + 6. Let q be (-4 + 6)*90\/40*(-2)\/9. Let s(k) = -k**2 + k - 1. Determine q*l(y) - 6*s(y).\nAnswer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -5. Suppose 3*q - 6 = k*o, -3*o - 2*q + 13 - 4 = 0. Let b(z) = -z - 5. Let s be b(-7). Sort -5, o, s.\nAnswer: -5, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (58 - 396362\/6844)*((-4)\/5 - 0)?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 1\/1) + 210\/10. Differentiate -29*l**2 + 31 + d*l**2 + 16*l**2 with respect to l.\nAnswer: 16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 s when four letters picked without replacement from sssscssscsoscccssc?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791021.\nAnswer: 7, 11, 10273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-588)\/672*(-4)\/((-168)\/18)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 51960 or 0.2?\nAnswer: 51960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2 - 87*n + 172. What is g(27)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -197 + -11. Let p = -49 - a. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -376, -383, -388, -391, -392, -391, -388?\n\"Answer: c**2 - 10*c - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 27. Calculate the remainder when d is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 0. Let p = g - -3. Let x = 346\/21 - 116\/7. Which is the second biggest value? (a) 4 (b) p (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.5 - 4.1. Let u = 17 - i. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2782\/31 less than 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1638 - 1637.994612. What is m rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*q - 155 - 760 = 0, 915 = 3*y - 4*q. Solve -344 = 13*l - y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 0 - (-2 - -3). Suppose l = -o - o + 20. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 17\/(-5 + 7 + -3). Let m(k) = -k - 14. Let s be m(b). Solve -4*z + 10 = -l - 0*z, 3*l - s*z = -3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seven halves of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2368151 = 226*l - 2720239. List the prime factors of l.\nAnswer: 3, 5, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.2, 0.5, 0.6, -2\/7 in descending order.\nAnswer: 1.2, 0.6, 0.5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/4))**(-47) assuming w is positive.\nAnswer: w**(-235\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(((-35)\/21)\/5*-12)*(-7888)\/58\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -54, 3615, -10 in decreasing order.\nAnswer: 3615, -10, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558?\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 142788 divided by 652?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4553 + 3550431?\nAnswer: 3555424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 2*b - 7 - 4\/5*b**5 - 5\/3*b**4 + 0*b**2 + 2\/15*b**6 + 0*b**3. Factor g(j).\nAnswer: 4*j**2*(j - 5)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 82 - 56. Suppose i = 5*j - w, 4*i = -3*j + 7 + 4. Differentiate -2*x**3 - j*x**3 + 14 - 11*x**3 - 6 with respect to x.\nAnswer: -54*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3573*s - 4*o = -3575*s + 66, 4*o + 46 = -6*s - 28 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 2*g**3 + 0*g**3)*(-32 + 10 - 9).\nAnswer: -62*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x - 4 - 6. Is 9\/18 - (-425)\/x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/168)\/(2770\/1108)\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 3*j - 25, -3*i + i + 29 = -5*j. Find the third derivative of -5*q**2 + 8*q**4 + 0*q**2 + q**i + 0*q**2 wrt q.\nAnswer: 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7604826 divided by -1?\nAnswer: 7604826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -0.5, -2, -0.896, -718, -5\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 73 = -u, -3*u = 2*u - 4*p - 285. Let z = -34 + u. Suppose 13 + z = 2*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.76006 + 31180.59994. Let g = m + -31183.8599996. Let p = g - -0.5. What is p rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 195 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 134*h - 184. Give o(-46).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 24. Let z(k) = -4 + 3*k - 3*k + 2*k. Let n be z(r). Do 3 and n have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) 5 (c) -3 (d) -4 (e) 32\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3690 rounded to the nearest 100?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278183757 to the power of 1\/2, to the nearest integer?\nAnswer: 35752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 - 5*m**2 + 4*m**2 + 4514*m + 2.\nAnswer: -5*m**2 + 4514*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1619035 is divided by 404728?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 - 1058*q + 4*q**3 + 501*q + 556*q + 6 - 5*q**3.\nAnswer: -(q - 1)*(q + 2)*(q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3 + 34*n**2 + 226*n - 4290 = 0 for n.\nAnswer: -11, 13, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 334.9389185 and -0.5?\nAnswer: 335.4389185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 172121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.3377 - -0.0377. Let f = -22.1 - i. Which is the closest to f? (a) -1\/4 (b) -2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + -8e0?\nAnswer: -8ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*w**2 + 37*w**2 - 47*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 249*3\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82215844*u**3 - 8801728*u**2 - 1?\nAnswer: 493295064","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 4*m + 5. Suppose -9*h + 8 = -5*h. Determine i(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, t: 1, b: 1, c: 1, r: 1, d: 2}. What is prob of sequence crt?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 8*u - 3*g + 13, u + 5*g - 14 = 0. Let b(z) = z + 9. Let d be b(-4). What is the second smallest value in 0.04, d, u?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/4 - 5*k**2\/2 - 14*k.\nAnswer: k*(k - 14)*(k + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 17 - 3 - 1 - 2*l. What is the tens digit of n(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = -2*h - 4*x, -3*x + 4*x = -5*h + 200. List the prime factors of h.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/5 of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 359*k*p**4 + 2*k*p - 43*k - 296*p**4 - 62*p**2 wrt p?\nAnswer: 8616*k*p - 7104*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**2\/7 + 3253930*b\/7 - 1394544 = 0.\nAnswer: -1626968, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w + 68. Let z be l(22). Let j be 7\/(-49) + z\/14. Solve 2*r + j*r + f + 10 = 0, -10 = 2*r - 3*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l - l + 3*l + (385 + 305 + 262 + 53)*(1 + 3*l - 1).\nAnswer: 3013*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4429*v + 18507 = -87789 for v.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3*g + 28 = 0, 2*x - 2*g = 25 + 11. Suppose -f + x = -7. Suppose -b - 3*b = -f. What is the closest to -0.1 in b, -1\/3, 1\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3295 at least 645969\/196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*x**3 + 18*x - 12*x - 4*x**3 + 2 - 6*x to o*x**3 + b + z*x + y*x**2 and give o.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 22, 1641, -4, -917.\nAnswer: -917, -4, 2, 22, 1641","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 650, -2, 2 in decreasing order.\nAnswer: 650, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 316 and 4819.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1315001568 divided by -6?\nAnswer: 219166928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 t when three letters picked without replacement from tthttjhfgjfhffgtt.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-146740\nAnswer: 14674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 3 + -5 + (13 - 6). Suppose -h*z + 13 = -23*g + 26*g, -4*g = z. Solve -10 = 5*a, -d + 0*d + z = -a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**3 + a. Let m be i(1). Suppose m = -w + 4*w. Let v = 10\/41 + 54\/451. Does w = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4295 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -27?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -16\/3*u - 2\/3*u**2 + 6 = 0.\nAnswer: -9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 9c + -112989?\nAnswer: -1128cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -227*q**2 + 455*q**2 - 227*q**2 - 10. Let n(r) = 7*r. Give i(n(a)).\nAnswer: 49*a**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c + 1445 - 3*c - 1445.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 673436 divided by 4.\nAnswer: 168359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1259 + 13825\/11. Suppose 2*r + 2 - 4 = 0. Which is greater: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 11 + 50?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, z: 2, p: 5}. What is prob of sequence zzp?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v**2 + 25*v + 93. List the prime factors of j(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -q + 3*q + 3*y, q - 4*y = 17 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*n + 254 + 121 - 712 + n**2 - 730 - 341 wrt n.\nAnswer: 2*n + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2 - 2*d + 4. Let q(s) = s**2 - s + 3. Let z(h) = -h**3 + 10*h**2 - 4. Let a be z(10). Let m be (-1 + 3 + (0 - -1))*1. What is a*q(j) + m*w(j)?\nAnswer: -j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 23*d**2 - 3*d - 3. Suppose -87*l + 48 = -84*l. Calculate the remainder when k(-2) is divided by ((l\/5)\/2)\/(2\/30).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6202000 to the nearest 100000.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 708793.4ug in grams?\nAnswer: 0.7087934","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 7263, 7265, 7265, 7263, 7259, 7253, 7245?\n\"Answer: -n**2 + 5*n + 7259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -103 * 733\nAnswer: -75499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 20 = 5*m, 2*g - 6 = 2*m + 2. Suppose g = 2*o + 10, 2*t - 21 = -4*o + o. What is the greatest common divisor of t and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47269?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -782 - -782.02134. Round w to three dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/114*21\/(-14). Sort a, -2\/5, 0.4 in decreasing order.\nAnswer: 0.4, a, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1849454 * -128.\nAnswer: -236730112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from yydzdxzxz.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, b: 11}. What is prob of picking 2 b?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -39c90?\nAnswer: -39c8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 9:02 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 7*y + 42, -11*g + 5*y - 21 = -15*g + 9 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(72))*-4)**2 + -3*sqrt(18)\/(sqrt(9) + 1*sqrt(9)).\nAnswer: 381*sqrt(2)\/2 + 1168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -414, -896, -1378, -1860?\n\"Answer: -482*v + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 133\/1*(-2)\/(-2). Let b = 937\/7 - w. What is the common denominator of b and (-12*23\/460)\/(6\/32)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-19)\/19 - -4)*17775?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-1\/19))**(-42)*((m**(-3\/2)\/m)\/m*m*m)\/((m\/(m**(1\/4)\/m)*m*m)\/m) assuming m is positive.\nAnswer: m**(-3347\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-359)\/3)\/((-2)\/(-6)). Let c = p + 364. Solve 5*q + 0*j + c = -3*j, -2*q - 3*j = 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2802 and 3504?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 127*p - 131*p + 168524. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0)**(1\/10))**(-3\/8)\/((v**(-2\/5))**(-44)*(v\/v**1)**(-8\/7)) assuming v is positive.\nAnswer: v**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y - 32. Let b be z(29). Let h be (-6)\/b + 1 - 2. Solve -h - 5 = -3*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 134*(9\/(-78))\/3\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2)\/(-4 + 2). Let u(b) = 3*b**3 + b**2 - 1. Let g be u(i). Let y = 11 + g. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -18*q + 61. Let v(w) = 6*w - 21. Let l(i) = 4*d(i) + 11*v(i). Let k be l(2). Let b be (0 + -5)*2\/(-5). Solve b*j - z + 1 = 4*j, -z + k = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25770 + -97.258.\nAnswer: -25867.258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1165 or -78?\nAnswer: -1165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25604.\nAnswer: 2, 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 8 = c, -3*c = -c - d - 13. Let z = 63 + -60. Suppose b - 4*a - 2 = 22, 3 = -z*b - 3*a. Solve -2*n + 4*t = -n - b, 10 = -c*t for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -343 + 632. List the prime factors of c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(133)*-5 - sqrt(133))\/sqrt(7).\nAnswer: -31*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 + 17*a**2 + 16*a + 11. What is the remainder when k(-16) is divided by 0 + 1 - (1 + -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 287*f - 286*f + 3*u - 4, 0 = -f - 5*u + 4. Solve 4*q = -4*i - 16, -6*i + 9*i + f = q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/180 and -93\/100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4013983 equal to 4013983?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 3 = p, -4*p + 5 = x - 0*x. Let g = x - -13. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 16*p**3 - p**2 + 3*p + 5. Calculate v(-2).\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 643004987 to the nearest integer?\nAnswer: 863","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(52)*-1)**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52 + 52 - 39*c)*(0*c + 2*c - 3*c)*(3 - 3 + 2*c + (2*c + c - 4*c)*(2 - 1 + 1) - c + 1 - 1).\nAnswer: -39*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/115, 5, 47, 1?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 1. Let s be t(-2). Find the first derivative of q**4 - 7*q**4 + s + 4 + 0*q**4 wrt q.\nAnswer: -24*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1110 - 111120011120000?\nAnswer: -111120011121110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1757\/9 - 195. Let y = 1355.1 - 1355. What is the closest to y in u, -4, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1573 - 1574. Let x = -35 - -25. Let j = x + 14. Sort g, -2\/13, j in ascending order.\nAnswer: g, -2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -246.124726 - -0.250813?\nAnswer: -245.873913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -208, -251, -294?\n\"Answer: -43*y - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o - 5. Let y be q(-7). Let j be 6\/27 + (-4)\/18. Let w be j + (14 + 3)*y. What is the highest common factor of w and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, r: 3}. Give prob of sequence rhr.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -69 + 123. Suppose k = -h - 2*h. Let v = 23 + h. Solve 5*b = w + v + 9, 2*b - 2*w = 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105991 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 smaller than -37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64.22 - 1.22. Is 2\/5 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11881870 times -0.2\nAnswer: -2376374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + -3*(sqrt(84) - -1*sqrt(84)))\/(sqrt(12) - (sqrt(768) - (sqrt(768) - sqrt(768)*2))).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of l**3\/3 - 6*l**2 + 31*l + 2828. What is h(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fajjffjjjf. Give prob of picking 4 f.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 357366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5152639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12287583 by -17731.\nAnswer: -693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 328 divide 386261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 29*y. Let c(r) = 10032267*r. Determine k(c(t)).\nAnswer: 290935743*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20800 and 32825?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 1*(sqrt(1573) - (sqrt(1573) + 1)))**2 - -2*5*(sqrt(1573) + -1 + sqrt(1573)).\nAnswer: 6 + 220*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r = f + 35, -1586*r + 3166*r - 1581*r + f = 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 3*m - 17 = 1, -5*u = -m - 6. Suppose 0 = -v - v - 5*o + 477, -u*o = -4*v + 918. What are the prime factors of v?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -276 + 2205\/8. Which is the second biggest value? (a) -5 (b) q (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 86358, 13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -5, -10, -15, -20, -25?\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 105?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5791 and 29438?\nAnswer: 35229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022122101100 (base 3) to base 4.\nAnswer: -10231001322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/6 + 112\/3. Does 19 divide -4*-1*t\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 42 by -29794690.\nAnswer: -21\/14897345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-4) + (-7)\/4. Let g be c\/4 + (-2)\/4. Which is bigger: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 7. Suppose -3*x + g + 347 = r, 3*x + x = 5*g + 459. Is 29 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (-7)\/((-5)\/(4 + 431))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 39*y + 92. List the prime factors of x(18).\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -5. Suppose -l*x + 423 + 1260 = 0. List the prime factors of x.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*s + 34*s + 13 = 3*t, -189*s + 31 = -186*s - 4*t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (43*s - 23*s - 15*s)*(2 - 3 + 0)*(3 - 3 + 2)*(s - s - s**3) as u*s**3 + o*s + k*s**4 + j*s**2 + y and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -28ad8 (base 15) in base 12?\nAnswer: -6377b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, 6668, 507.\nAnswer: 1, 9, 507, 6668","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38031 is divided by 60.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 71649262*q**4 - 2*q + 2609947.\nAnswer: 859791144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 0)*(-4 + 3 - 1)*((f - 5 + 5)*(297 - 297 + 13*f**3) + 11*f**3 - 8*f**4 - 11*f**3) to t + z*f**3 + c*f**2 + y*f + q*f**4 and give q.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -4*p**3 - p**2 + 1. Let g(n) = n + 1. Let m be g(3). Suppose 4*q + 0 = -m. Calculate the remainder when a(q) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (132\/45 - 3)*(-6 + 3)\/(-3)\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 60230, 240356, 540388, 960332, 1500194?\n\"Answer: j**3 + 59947*j**2 + 278*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1126\/(-10) + -1 + (-291)\/(-485). Let r = -109 - x. Solve r*b = -2*t + 2 + 14, t - 5*b = -20 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/81)\/5*27.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 12, 1, 2, -53 in decreasing order.\nAnswer: 12, 3, 2, 1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p**3 - 4*p**2 + 5*p - 1. Let c be x(-5). Let m = 383 - c. Solve 33 = 6*d + m for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**3 + r**2 + 2*r. Let h(l) = 4*l**3 - 3*l**2 - 5*l. Let w = 9 + -7. Suppose -t - 3*t - 21 = -5*n, -3*n + 13 = -w*t. Calculate n*i(m) + 2*h(m).\nAnswer: -2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*(sqrt(5) + -1 + 3) + sqrt(20)\/sqrt(4)*3 + sqrt(405)))**2.\nAnswer: -972*sqrt(5) + 3969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14430565.8ns?\nAnswer: 0.0000000238600625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48825869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 3*l**2 + 20*l + 35. Give s(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3569*j - 3722*j - 12699 = 0 for j.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6739 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 10 + 4. Let w be (-54)\/(-6) + -1 + 6 + -7. Let i be w + -2 - (-77 - -5). Calculate the greatest common divisor of a and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1155 - -3702. List the prime factors of c.\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26746800.\nAnswer: 2, 3, 5, 31, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27917162?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -3656*x**2 + 1804*x - 1356. Differentiate y(j) with respect to j.\nAnswer: -7312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 3*w. Suppose -5*o = 4 - 64. Let r be ((-2)\/6)\/((-2)\/o). Let g be t(r). Calculate the highest common factor of g and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -d**2*g*u + 1141*d**2*g - 4*d**2*u + 2*g*u - g - 754*u wrt d?\nAnswer: -2*d*g*u + 2282*d*g - 8*d*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 22*k - 58. Is u(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -58*p - 218. What is c(-10)?\nAnswer: 362","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*o + 478 - 9. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1688, 6864, 15696, 28352, 45000, 65808?\n\"Answer: 28*j**3 + 1660*j**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 1:59 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 5:37 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.291, -137, -2, -11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {h: 11, v: 5}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/(-3))\/(-2 + 3). Factor 2 + 3 - 4*z - 7 - 9*z**q + 2*z**2 + 1 + 12*z**3.\nAnswer: -(z - 1)**2*(3*z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**3 + 22*n**4 + 5*n**3 + n - 1533 + 1531 - 6*n**2 + 0*n**4 as w*n + p*n**4 + u + c*n**3 + a*n**2 and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 16) to base 5.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eje when three letters picked without replacement from eeezeezeeeeeejejqqe?\nAnswer: 52\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 4*x - 44, -70*x + 75*x = -4*q + 50 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 4 (b) 3\/2 (c) -4451\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303, -301, -299?\nAnswer: -297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8017673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8325\/(-60))\/37*392\/6125.\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2854 - 446. Let p = -3300.001847 - j. Round p to 4 decimal places.\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2430250 (base 6) to base 2\nAnswer: -11111010110010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 15*n**2 - 86*n - 2059. Determine m(-17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7580500 rounded to the nearest ten thousand?\nAnswer: -7580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -8. Let f = 5 + v. Suppose -z + 4*m = -159, -f*z + 4*m - 3*m + 325 = 0. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83417.861 rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 277, -2, 0.8?\nAnswer: 277","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 332179.8 millilitres to litres.\nAnswer: 332.1798","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 5*u - 17*u)*(0*u**2 - 2*u**2 + 0*u**2).\nAnswer: 36*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1 = 5*o - 10, 2*r = 5*o + 6. Suppose o = 4*z - 20, 11 + 23 = 3*x + 5*z. Solve -x*j = -4*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + f**4 + 2*f**4)*(-5*f + 0*f + 4*f) + (-22 - 41 + 44)*(-3*f - 2*f + 6*f)*(4*f**4 - 2*f**4 - 3*f**4).\nAnswer: 17*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Suppose 0 = -o - 0*o + 5. Suppose r = 4*h - 3, 0 = 3*r + h + h + 9. Sort o, r, b in increasing order.\nAnswer: r, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w - 3. Let p be c(-8). Suppose -2*y = 3*m - 5*y - 21, 5*m + 5*y + p = 0. Suppose d + m*d = 36. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11290 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2493*c**4 + c**3*h + 2*c**2*h - 99*c*h - 2*c + 2*h wrt c.\nAnswer: 59832*c + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10001001001110 (base 2) to base 5\nAnswer: -240112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2. Let r(l) be the second derivative of -73*l**4\/2 - 2679*l. Calculate k(r(n)).\nAnswer: 191844*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26665 is divided by 5096?\nAnswer: 1185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b. Let m be g(-5). Suppose -2*z - 2*z = t + 20, -2*t + z = -m. Let y(c) = c + 4. Let x be y(-3). Sort t, x, -3 in increasing order.\nAnswer: -3, t, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (3 + 7 - (8 - 8)) - -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2812 + -2810. Put 2\/33, 0.1, -4, 0, b in increasing order.\nAnswer: -4, 0, 2\/33, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4155576194 and -0.01.\nAnswer: 4155576193.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of 5*d**3\/3 + 20*d**2 + 80*d - 9. Factor k(i).\nAnswer: 5*(i + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 37. Solve -m + d = 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -1 (b) 0.21 (c) 3\/10 (d) -1\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -437*i**3 + 443*i**3 + i**2 - i**4 + 0 - 3 + 2 to the form q*i**3 + s*i**2 + l*i + c*i**4 + h and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -762*j. Let w(a) = -124*a**2 + 72*a**2 + 50*a**2. Give c(w(f)).\nAnswer: 1524*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 310*x - 2*x**2 - 310*x. Let m(s) = 13*s**2. Determine m(t(b)).\nAnswer: 13*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 9.989416 millennia?\nAnswer: 99.89416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -745809, -745772, -745725, -745668, -745601?\nAnswer: -745524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, h: 2, i: 2, e: 1, l: 1}. Give prob of sequence whh.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wttraoorrorotrutur. What is prob of picking 1 r, 1 a, and 1 o?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c**2*m**3 + 289*c**2 + 3*c*m**3 - 2*c*m + 6*m**3 + 2*m wrt m.\nAnswer: -30*c**2*m + 18*c*m + 36*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 1 - (0 + 3 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 355*z - 4995. Calculate v(14).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2 = -3*t. Let a = 70.05 - 68. Let p = a - 0.05. Sort p, 2\/13, t in descending order.\nAnswer: p, t, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53704*l**3 - 18040*l wrt l?\nAnswer: -322224*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19271 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10600004 = 2*y + 2*s, 2*y - 3*y - 5300006 = 3*s. Round y to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4611*k**5 - 9453*k**4 + 31821*k**3 - 16815*k**2 - 966*k + 24 = 0.\nAnswer: -4, -2\/29, 1\/53, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/2, -101.16, 4\/5, -1\/7 in decreasing order.\nAnswer: 4\/5, -1\/7, -5\/2, -101.16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -175*p**4 + 874*p**3 - 2*p**2 + 213559 wrt p.\nAnswer: -700*p**3 + 2622*p**2 - 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 2. Let s(z) = z**3 - 10*z**2 + 8*z - 11. Let j be s(9). Let k be (6\/(-5))\/((-6)\/j). Let h be m(k). Solve -p = h + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3427*n**3 - 3080*n**3 + 5137*n**3.\nAnswer: -1370*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s. Let d(o) = 2*o + 6. Let w be d(-4). Let q = w + 5. Let z(y) = 4 + q - 5*y - 5. What is 3*p(f) - z(f)?\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100111 - -10001?\nAnswer: 100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 592, 1170, 1748?\n\"Answer: 578*t + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 21329695.\nAnswer: 21329694.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/7 - 68*f**2\/7 + 160*f\/7 + 576\/7.\nAnswer: -2*(f - 4)*(f + 2)*(f + 36)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 2, 3, 10, -51?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -685 + 684.341. Let x = -0.069 - i. Let t = 5.39 - x. Round t to 0 decimal places.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.2 + 2.8. What is the second biggest value in s, -5, 0.1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -21*a**2 - a - 6*a + 3 + 1. Let n be q(-6). What is n rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17874*f*o*s**2 + 7*f*o - 532*f*s**2 - 4*f - 711*o - 64 wrt s?\nAnswer: 35748*f*o*s - 1064*f*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*a + 2 = -2*a, 0 = -3*v - 4*a + 3. Suppose 8 = -10*g + 15*g - m, 4*m = -4*g - 8. What is the greatest common factor of v and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 5:14 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-58)\/(-2) - (-12)\/3. Is (22\/l)\/(2\/24441) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.06 (b) -0.3 (c) -0.034\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-125)\/(-100)*82*3\/15*-2?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-195)\/(-3)*1\/63 + (-3)\/21. Factor 2\/9*i**2 + 2\/3*i - g.\nAnswer: 2*(i - 1)*(i + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*n - k, 0*n + 2*n - 3*k + 11 = 0. Let w(i) = -1 - 2*i - 13*i**n + 4*i**2 + 0 + 5*i**2. Give w(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011010 - -100?\nAnswer: 100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 435 - 202. Suppose 5*d = 4*q - 867, 3*d - k = -q + d. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.2 - 0.3. What is the biggest value in -3, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2. Let n(i) = 530*i. What is x(n(q))?\nAnswer: -842700*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (7\/4)\/7*4 + 3. Which is the fourth smallest value? (a) 2 (b) 3\/2 (c) -5\/4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -8*y + 3*y. Let a(c) = c. Let v be a(y). Let w be 20\/(-6)*3 - v. Do -9 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.52 + 0.488. What is g rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 173805 - 173803. Factor 1\/2*j**g + 1\/3*j + 0 + 1\/6*j**3.\nAnswer: j*(j + 1)*(j + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202211112 + 1120?\nAnswer: -202202222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 71 + 4952493\/(-71379) - 18\/11\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 51, 99, 147?\n\"Answer: 48*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 259 - 1?\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + sqrt(190)*-2)*-1 - sqrt(190) - (sqrt(190) + ((sqrt(190) + (sqrt(190) - -1*sqrt(190)))*-6 - sqrt(190))))\/(sqrt(20)\/(sqrt(72)*2)).\nAnswer: 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (220\/(-77))\/10*(60\/150)\/((-6)\/(-5))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 193*c - 68*c - 3817 + 67 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-3\/10)\/p*p*p**(3\/5) assuming p is positive.\nAnswer: p**(13\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9028 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*j - 10, 2*j - 3*q - 10 = -5*q. Suppose 2*m + 2*m - 700 = j. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2987 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539598355 is divided by 1303.\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -2 - 0. Suppose -s*u + 45 = 5. Suppose -u = -4*v - 4. What is the greatest common divisor of 36 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -115014230 (base 6) to base 4.\nAnswer: -20113322022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 10 = 1. Let o = 21 + -20. Let r be (-22)\/(o + 26\/(-22)). Calculate the highest common factor of r and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 + 1086*h - 34612.\nAnswer: -2*(h - 509)*(h - 34)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 460 + -456. Which is the smallest value? (a) v (b) 105\/8 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 c when four letters picked without replacement from {w: 3, l: 10, z: 1, c: 4}.\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*z - 3*z + 688, -3*a - 6 = 0. Suppose -z = -2*n - 10. Let t = 102 - n. Calculate the highest common factor of t and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1554 and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 17*t**2 - 14*t + 2. Let q be v(10). Suppose 7*p - 5*p + q = 0. Let f = -528 - p. What are the prime factors of f?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**2 - 204532*c - 94844880 = 0?\nAnswer: -50665, -468","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 503 = 23*s + 89. Calculate the highest common factor of 1374 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y - 12. Suppose -7*m = -8*m - 3*n + 18, 3*m = -n + y. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the second derivative of h**5\/20 + 5*h**4\/12 - 5*h**3\/6 - h**2\/2 - 11*h. Let m(k) = 2*k. Let z be m(-3). Give d(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**2 - 2*g + 14. Determine f(5).\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 2 + -15 + 18. Suppose -4*p = -4*t + 28, -p = -c*p - 25. Suppose -t*a + 4*r + 70 = 0, 2*a = 7*a + 3*r - 201. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -76*f**3 - 10*f**2 - 28*f + 19. Is g(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -k**6*r - 6331172*k**4*r**2 - 510611*k**2*r**2 wrt k.\nAnswer: -120*k**3*r - 151948128*k*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 10\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 165.017*-1952\nAnswer: -322113.184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 120, 242, 364, 486, 608, 730?\n\"Answer: 122*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6d505a (base 16) to base 8\nAnswer: -33250132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 12:15 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n + 9. Let a be z(3). Let y = a - -16. What are the prime factors of y?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 6*n**2 - n + 6. Let k be s(6). Suppose 2*f - 4 = -3*y, -3*f + k = -2*y - 19. Is 5 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + (-1 - -3) - (-2)\/(-2). Solve -20*x**4 + 11*x**4 + 6*x**3 + 3 - 6*x**2 + 12*x**4 - 4*x**5 - f*x + x**5 = 0 for x.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.42, -0.4, -2?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 1:10 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**3\/3 - x**2 - 13*x - 22. Let n be i(-5). What is the greatest common factor of 176 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2675 a factor of 393412250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 429224.\nAnswer: 2146120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (857 + 517 + 341)*(-m**3 + 5*m**3 - 5*m**3)*(4 - 1 - 5) to the form k*m**3 + y*m**2 + r*m + n and give k.\nAnswer: 3430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72483.725*3.\nAnswer: 217451.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -11*o**3 + 3*o. Suppose 2*v + 17 = -3*l, -2*v - 5 = l - 2*l. Let y(s) = 56*s**3 - 16*s. Determine l*y(g) - 16*x(g).\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18951828 and 497994?\nAnswer: 1345579788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12290 + 12521. What is the lowest common multiple of z and 1869?\nAnswer: 20559","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 2 (b) -0.07 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 20. Suppose 7 = 4*o - 153. Let k = o + -47. Let d(r) = -2*r + 39. Let q(i) = k*x(i) + 4*d(i). Differentiate q(n) with respect to n.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 559, 1026, 1481, 1918, 2331?\n\"Answer: -i**3 + 474*i + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = 0, 0*z - 372 = -4*j - 2*z. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 21447, 0.1, -2 in descending order.\nAnswer: 21447, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/14252019 and 86\/15491325?\nAnswer: 356300475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 35984491\/3 and 11994829 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53751410.1 rounded to the nearest one million?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/6965970 and -15\/253.\nAnswer: 160217310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/((r*r**(-1))\/r)))\/r**4)**(-11\/5)*(r\/r**0)**(-17)*(r\/r**2*r)\/((r**(-5\/2)*r)\/r) assuming r is positive.\nAnswer: r**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2 - t - 16. Suppose 5*g - 5 = -2*u, -3*u + 10*g + 25 = -0*u. What is a(u)?\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*p = -84, -2*h - p = -24 - 3. Solve -3*j = 2*j + h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1390?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -115 + 193. Let r = i + -77.6. What is the third biggest value in 0, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p + p - 2*p)*(-p - p + 7*p) + (-149*p + 93 - 92 + 15*p)*(p - 3*p + 4*p)*(-6 + 1 + 0) to v*p**2 + g + a*p and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36082478?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/3336 and 17\/14137134.\nAnswer: 56548536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 1\/5, 3\/5, 4, 4\/27?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-15) + 2\/6. Suppose -m - l = y*m - 24, 4*m - 2*l = 24. Solve 2*r = m*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8416022 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 22939840?\nAnswer: 22939840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 185*c**2 - 835*c**2 + 1.\nAnswer: -650*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 24*z - 88 - 152 for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-48)\/(-12))\/(-10 + 38\/4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + 3*q - 48 - 9*q)*(-q + q + q**2).\nAnswer: -q**3 - 48*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 - 15*a - 5. Let z(v) = -2*v. Let t(s) = -7*s**2 - 36*s - 7. Let f(u) = -2*t(u) + 14*z(u). Let w(p) = -17*b(p) - 6*f(p). What is w(5)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217264927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3866 - -15465\/4. Which is the second biggest value? (a) -6 (b) i (c) 6.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18236?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (459\/(-4))\/(756\/(-336))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s\/(s\/(s*s**31*s))))\/s*s))**(11\/2)*(s**(-16)\/s)\/s**(1\/36) assuming s is positive.\nAnswer: s**(5921\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*z - 97 = 35. Let m(f) be the first derivative of 0*f**2 + 0*f + 2 + 1\/6*f**3 + 1\/12*f**6 + 3\/10*f**5 + 3\/8*f**z. Suppose m(r) = 0. Calculate r.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 20\/9597?\nAnswer: 20\/9597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 3)*(-89)\/4. Suppose -3*h + 4*x + 172 = 0, h - 2*x = -4*x + 44. Let k = u - h. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/360*1\/2. Let g(k) be the third derivative of 0*k + 0*k**3 + 1\/96*k**4 - k**2 + 1\/840*k**7 + f*k**5 + 1\/160*k**6 + 0. Let g(h) = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2661 divided by -2661\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -399 + 397. Let s be (152\/(-266))\/(w\/245). Solve 0 = -10*i - s + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 271309\nAnswer: -271309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 5474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1792 and 114304.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 2, u: 4, h: 2}. What is prob of picking 2 b?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -23. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 41. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3507 and 7014.\nAnswer: 7014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3\/(-4)*(1 - -3) - -78?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 3*r = -15, 0*r + 4*r = 5*p + 20. What is the biggest value in 4, p, 0.5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*2*(-15)\/((-15)\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1*sqrt(125) - sqrt(125) - (sqrt(125) + -2)**2*3) + (-5 + (4*sqrt(125) + sqrt(125))**2)*-4.\nAnswer: -12862 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 568651883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/1*1 + 2. Let b(k) = k**2 - k + 3. Let l be b(z). Suppose 8*u - 3*u - 8 = v, -l*v - 3*u + 48 = 0. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of x**6\/300 - x**5\/20 - 17*x**4\/40 - 17*x**3\/15 - 7*x**2\/5 + 32*x. Factor a(q).\nAnswer: (q - 14)*(q + 1)**2*(q + 2)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -110232 - 5?\nAnswer: -110237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -13*k**3 - 9*k - 3. Let f(l) = -7*l**3 - 5*l - 2. Let i(q) = -6*b(q) + 11*f(q). Does 12 divide i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 2. Let w(m) = m**3 + m**2 + m + 41. What is the remainder when w(a) is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -613\nAnswer: -4\/613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 - (14 - 13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/57 - (-220991901)\/1767 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 5 - 3. Let t be 1\/4 - 333\/(-12). Suppose 0 = -c - 6 + t. Calculate the greatest common factor of c and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d + 14. Let m(u) = 12*u - 13. Let p(k) = -6*i(k) - 5*m(k). What is the first derivative of p(l) wrt l?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20562335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**3\/6 + 10*v. Let x(o) = -3*o. Let d(k) = -3*x(k) + 6*z(k). Let y(i) = 3*i. What is d(y(w))?\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18714544 by 4.\nAnswer: -4678636","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/58311 and 137\/13968?\nAnswer: 90498672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -16*y**2 + 806*y - 806*y. Let s(p) = -9*p**2. What is l(s(v))?\nAnswer: -1296*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**2\/5 + 484783656*r\/5 + 29376899140590792\/5 = 0.\nAnswer: -121195914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3 - 11 - p + 2*p + 15. Let u(v) = -v**3 + 2*v**2 + 4*v + 6. What is -4*q(r) + u(r)?\nAnswer: -r**3 + 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 608?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3123?\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -135869 or -135874?\nAnswer: -135869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f**2 + 261*f + 107. What is o(-43)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.0723587 rounded to 2 dps?\nAnswer: -82.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2169, 2171, 2175, 2181, 2189, 2199, 2211?\nAnswer: 2225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*r - 23, -4*r = -3*q + q - 26. Suppose 0 = 4*o - 3*c - 451, 0 = -5*o + r*c + 334 + 229. What is the remainder when o is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3145 and 85?\nAnswer: 3145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2248*o + 8591 = 731*o - 2705*o + 135251 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 20 - (2 + (5 - 10)) - -13?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 5:33 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -71, -719, 0, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000058348 to seven decimal places.\nAnswer: -0.0000058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w - 2 = -22. Solve w*n - 4 = -2*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11*d**2 - 172985*d - 5971544 wrt d?\nAnswer: 22*d - 172985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39832 + 39843. Calculate the remainder when 6464 is divided by z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-15 - -20 - 19)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 20*q**2 + 30*q - 40. What is the tens digit of b(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*l = -0*k - 5, 0 = 4*k + l - 14. Suppose 0 = -2*p - k*p + 10. Factor 8\/3*d**p - 2\/3*d + 0.\nAnswer: 2*d*(4*d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**2\/3 + 7714*h\/3 + 1415560 = 0.\nAnswer: -516, 8230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 4:14 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 346273544?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + 4 - 4)*(2*a + 1 - 1)*(-7*a + 4*a + a)*(-3 + 3 + 2).\nAnswer: -16*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g**3 - 104*g + 104*g.\nAnswer: 17*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*a - 3*a**2 + 3 - 18*a.\nAnswer: -3*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + -6*-2*(sqrt(1377) + sqrt(1377)*-2 + sqrt(1377))*-1)*-3)**2.\nAnswer: 5625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1 + 193*y - 367*y + 125*y. What is o(1)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 984 and 38417?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence btm when three letters picked without replacement from nnknnmcmnbkbtktccn.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -11. Suppose t = -p*h + 20, 0 = 2*t - 0*t + 3*h - 31. Calculate the remainder when 30 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(0 + (1 + sqrt(1100))*1 + 2)**2*-4.\nAnswer: 1440*sqrt(11) + 26615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n and 1 h when four letters picked without replacement from {h: 3, n: 7}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 304 + 64. What is the first derivative of -42*l - 39*l - 3*l - 28*l + w wrt l?\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 27*l - 70. Let s be v(24). What are the prime factors of (-5)\/(-10) + 429\/s?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gmqqjiqjgrgq. Give prob of picking 1 j and 1 i.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-0.551495.\nAnswer: -0.2757475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 + 10*n - 9. Let l(f) = -5*f**2 - 29*f + 26. Let i(c) = 3*l(c) + 8*w(c). Suppose 0 = -5*r - 84 + 109. Calculate i(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 224, 236, 250, 266?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) - 3*sqrt(187) - sqrt(187) - sqrt(187))*5 + (2*sqrt(187) - sqrt(187))*-6 + sqrt(187))\/((sqrt(33) - 1*sqrt(2673))\/sqrt(3)*1).\nAnswer: 25*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - 15. Let y be ((-6)\/(-9))\/(u\/(-66)). Let o = y - 2. What is the remainder when o is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 12 = 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2\/3 + 5218904*t\/3 + 6809239740304\/3 = 0?\nAnswer: -2609452","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 154\/947 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -8) + 31 + -16 + -21?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of -o**4\/3 - o**3\/6 - o - 1. Let s(c) be the first derivative of f(c). What is the second derivative of s(j) wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -1\/4, -2, 0.1, -33.3?\nAnswer: -33.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 + -232?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 2066871?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 827 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w - 1 - 2*w + 2)*(0*w**2 - 467*w**3 - 5*w**2 + 479*w**3) to the form v + i*w**4 + f*w**3 + r*w**2 + o*w and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*-3)\/sqrt(10) - (-4*(sqrt(5) + -1 + sqrt(5))*-3)**2 - (2 + (sqrt(605) - ((sqrt(605) + 0 + sqrt(605))**2 + -5))*1).\nAnswer: -611 + 553*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + s + 1 + (2 + 3 - 3)*(-2 + 2 + 2*s))*(4*s - 2*s - 3*s).\nAnswer: -5*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 164 + -56. Does 106 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -4\/3 (b) 1 (c) 0.1 (d) 8.344 (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42\/4 + -2 + 12\/(-8) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 31*o**3 - 52*o**3 + 5 + 34*o**3.\nAnswer: 13*o**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -80 + 1?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**3 - 3*r**2 + 7*r + 2 + 2*r**3 - r**2. Let k = -11 - -6. Determine c(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + s**2 - s + 1. Let l(p) = p**3 - 3*p**2 + 2*p - 22. Let h be l(4). Suppose -3*c = 3*n - 5*c - 11, -3*n - h*c = 5. What is i(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - -1*(477 + 9). Suppose -500*h + z*h = -13668. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3 - 7\/(-2)) + 62\/42 and 9\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 601032 to the nearest integer?\nAnswer: 775","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2414055 divided by -3\nAnswer: 804685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6\/16061 - -32068\/144549. Which is the fourth biggest value? (a) r (b) 0.0806 (c) 2\/11 (d) -3 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ot when two letters picked without replacement from {o: 1, t: 7, y: 5}.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrmmiraariamir. Give prob of sequence ra.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-202 - 0\/1)\/(((-4)\/(-5))\/(24\/(-60))).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -3*v**3 - 81*v + 4*v**3 + 80*v. Let n(k) = -9*k**3 + 12*k. Let o(p) = n(p) + 6*x(p). What is the second derivative of o(m) wrt m?\nAnswer: -18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 2 - (65 - 72).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2 - 21*f - 13. Let j be k(6). Suppose -j*n + 1982 = u - 18978, 4*n - 16752 = -4*u. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*k + 16*k = -5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1928*g**2. Let x(v) = -3*v**2. Determine s(x(h)).\nAnswer: -17352*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 3. Let d(n) = -1. Let g(k) = -k**2 - 8*k + 3. Let r be g(-8). Let j(o) = r*d(o) - l(o). Let v(u) = 4*u**2. Give v(j(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1289620*a*f**2*p**3 - 43*a*f**2*p**2 + 156*a*p - 3185*a + f**2*p + 11*p**3 wrt p.\nAnswer: 7737720*a*f**2 + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 972490 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 9:15 AM?\nAnswer: 3:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -589 + 840.6. Let k = 252 - v. Sort k, 5, -1\/22 in increasing order.\nAnswer: -1\/22, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1495 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10789*j**4*k**3 + 562*k**3 - 158 wrt j?\nAnswer: 43156*j**3*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 - 2*a**3)*(0*a + 0*a - a) + (-a**2 + 3 - 3)*(a - a - 2*a**2) - 11*a**4 - 8*a**4 + 31*a**4 to g*a**3 + f + i*a**4 + q*a**2 + w*a and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60\/17 + 814\/221. Let u = -10 - -7. What is the smallest value in u, a, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 279 + -391. Let n = 2486 - 2274. Let f = n + d. Round f to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -202103, -404229, -606377, -808547, -1010739, -1212953?\nAnswer: -1415189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133 - -61. What is the common denominator of (-753)\/l - 3\/9 and (-6)\/(-8)*10\/255?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n - 6. Let a(h) = -11922 - 11925 + h + 23841. Give 4*a(q) - 3*z(q).\nAnswer: q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262434, 524770, 787106, 1049442?\nAnswer: 1311778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307*y + 155*y + 155*y.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/1088395 and -59\/46585?\nAnswer: 11972345","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1670745039 and 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113 - 449\/4. Let w = 644 - 4510\/7. Put b, 1, w in ascending order.\nAnswer: w, b, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3163757277?\nAnswer: 3, 2467, 427477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-10) + 4212\/(-260) + 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 806199.\nAnswer: 3, 268733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -8*x**2. Let y(k) be the second derivative of -k**4\/4 - 3*k. Give y(h(q)).\nAnswer: -192*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -202163.99 * 0.24.\nAnswer: -48519.3576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0493269cm to millimeters.\nAnswer: 0.493269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from hihpiphospaaoi.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/10458 and -139\/219618?\nAnswer: 219618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 770*j - 1134*j + 941*j.\nAnswer: 577*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjj. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 28*(70\/56 - (-6)\/(-8)). Suppose -5*s**2 - 15*s + 35*s**3 - n*s**3 + 0*s**2 - 11*s**3 = 0. Calculate s.\nAnswer: -1, 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -22, -83, -186, -331?\n\"Answer: -21*i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 28, 5*m - 548 + 574 = 3*h for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -3\/8, -1\/8, -0.05, -3?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-688)\/(-43)*1\/1*-1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 4595415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -7*o - 3 - 7*o**2 + 13 + 1899*o**3 - 1887*o**3. Let w(r) = -4*r**3 + 2*r**2 + 2*r - 3. What is 4*j(h) + 14*w(h)?\nAnswer: -8*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4)**(1\/16) assuming h is positive.\nAnswer: h**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**9*k\/k**(-3) assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 - 9.953?\nAnswer: 135.047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + -1347?\nAnswer: -1347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 + 7*y**2 - 8*y + 9. Let i be k(-8). Let z(g) = -g**2 + 8*g + 12. Let n be z(i). Suppose 0 = -8*f + n*f + 1115. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60895530 divided by 9.\nAnswer: -6766170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 62 (base 7) to base 13\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiv when three letters picked without replacement from {i: 9, v: 10}.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14869.\nAnswer: 14869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29884 and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -14*w + 15. Let x(d) = -29*d. Let f(k) = -29*k - 1. Let q(n) = -3*f(n) + 2*x(n). What is the tens digit of q(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -686*x**3 - 88 - 191*x**3 - 3*x**4 - 108989*x**2 + 108971*x**2 - 2*x wrt x?\nAnswer: -72*x - 5262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j**2 - 5*j**2 + 13*j**2.\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -138, -130, -106, -60, 14?\n\"Answer: q**3 + 2*q**2 - 5*q - 136","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 36 = -7*x. Suppose -5*g + 10*g - x*g = 0. Which is smaller: g or 1\/18?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 6\/(-25)*-15*70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-56)\/686)\/((-2)\/14).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94604*b = 94568*b + 720 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 + 2 - 228\/(-36). Do r and -11\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 15*b**2 + 9. Let j(m) = -3*m**2 - m - 6 + m**3 - 2*m**2 + 0. Let y be j(5). Let q(r) = -8*r**2 - 5. Calculate y*q(n) - 6*k(n).\nAnswer: -2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.256216ms in hours?\nAnswer: 0.00001896006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 15*k**4 - 10150*k**3 + 164345*k**2 + 432110*k + 125400 = 0.\nAnswer: -2, -1\/3, 19, 660","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is 604.5284 rounded to the nearest 10?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of (12\/14)\/((-15)\/(-27195))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 13*w**2 + 11*w - 15. What is h(14)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*j**2 - 22*j + 22*j + 42*j - j + 343*j**2 - 339*j**2 + 3 - j**2 - 3 + j**2 - j**2 + j**2 + (2*j**2 + 1 - 1)*(2 - 5 + 4).\nAnswer: 12*j**2 + 41*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002098603397 to 5 decimal places.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-26)\/(1976\/(-16804)) - (-2)\/(-19) is divided by 46.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-64)\/(-1)*(904\/(-48) - -19). Solve -d + 16\/3*o - 2\/3*o**2 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -20*q + 47. Let l(v) = 7*v - 16. Give 17*l(s) + 6*o(s).\nAnswer: -s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2. Let f(j) = 54*j**2. Give f(z(n)).\nAnswer: 486*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-210)\/(-8)))\/((161\/(-21))\/(-23)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 29*s**2 + 3*s + 36. Let f(u) = 146 + 8*u + 90*u**2 - 37 - 5*u**2. Let w(r) = -4*f(r) + 11*o(r). Differentiate w(i) wrt i.\nAnswer: -42*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -63072 or -63069?\nAnswer: -63069","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 525226 is divided by 32823?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22000021010202 (base 3) to base 12\nAnswer: 1513478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 117514972 + -16444.\nAnswer: 117498528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(966\/(-92)*(-1)\/(-3)). Put z, -3, -3\/2 in increasing order.\nAnswer: -3, -3\/2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that w**3\/2 - 772785*w**2 + 597196656225*w\/2 = 0.\nAnswer: 0, 772785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is -10902 divided by 36?\nAnswer: -1817\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 - 4*o**2 - o**2. Suppose -3*l = 2*h - 2932, -20*l + 22*l - 1953 = -h. Let g(m) = 974*m + 4*m**2 - l*m - 2*m**2. What is g(z(y))?\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/7, 1303 in increasing order.\nAnswer: 3\/7, 5, 1303","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 449*c**3*p*t**2 + c**2*p*t - p*t**2 - 757*t wrt c?\nAnswer: 1347*c**2*p*t**2 + 2*c*p*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -64 - -109. Suppose -v - v = -4*h + 24, 0 = -5*v + 5*h - x. Let u(k) = k + 8. Let r be u(v). Solve r*b + 3 = -3*y, 1 = -y + 4*b - 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 16192 + 7 + 3\/(9 + -6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/3 (b) 2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 9. Solve -3*b + b = 2*i - 2, 0 = -d*i + 12 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -3*b**6 + 76*b**5\/5 - 49*b**4\/2 + 40*b**3\/3 - 549. Factor y(a).\nAnswer: -2*a**2*(a - 1)**2*(9*a - 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-180)\/(-87) + 3 + -5 + 0. Sort w, 1, -0.4 in ascending order.\nAnswer: -0.4, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -1020635*v**2 + 6. Let j(x) = -x. Determine c(j(s)).\nAnswer: -1020635*s**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6 - 13 - z**2 + 5 + 7*z. Suppose -19 = -5*l + 1. What is t(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -82. Suppose -4*p = -5*f - t, p - 4*p + 6 = 2*f. Let x(u) = -6*u - 1 + 1 + u**2. Determine x(p).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-16\/7)*r**(1\/4)*r*r**(3\/32)*r**(2\/9) assuming r is positive.\nAnswer: r**(-1451\/2016)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -55*c - 1765. Let q be n(-32). Suppose 2*z = 4*z - 4. Let k(u) = 0*u**2 - u**2 - z + 1. Let y(g) = 6*g**2 + 5. Give q*k(o) - y(o).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-2) + (-19)\/2. Let c = 0 - a. Solve 4*s + c = -11 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2366 = 2*l, 4*r - 2367 = -3*l - 0*l. Let j = -404 + r. Let i(c) = 2*c + 5. Let m be i(6). Calculate the highest common divisor of j and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/((-7)\/2)*474\/(-316)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*r - 65*r - 2735907 + 24*r + 21*r + 2735909.\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -18*l**2. Let w(b) = 91786*b**2. Calculate w(y(j)).\nAnswer: 29738664*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 6*y**2 + 2*y**2)*(-3 + 3 + 1)*(4*y**3 + 3*y**3 - y**3) - y - y**5 + y.\nAnswer: -13*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -117276 to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 636 - 636.153. Which is smaller: s or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 203 is divided by 50?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s + 2*s - 3*s + 525*s**2 - 3*s.\nAnswer: 525*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11565*n + 983*n**3 + 16852*n**3 + 11565*n.\nAnswer: 17835*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - t = 2*a - 11, 4*t = 5*a - 7. Suppose a + 2 = 5*o. Suppose 0 = -4*b + o + 3. Is -2\/9 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 + 8*u**2 + 154*u - 1121. Let c be d(7). Solve 0 = 2*k + 5*x + 15, 3*k = 4*x + 41 - c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -157 (base 13) to base 5.\nAnswer: -1431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + c, 2*n + 63 = 5*c + 31. Solve 2*z = -n*h, -2*h = -0*z - 2*z + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 388284193 and 542?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 3593491?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 538\/455 - -16\/65. Let m = 517\/595 - 1\/85. Find t, given that -s*t**3 - m*t**4 + 2\/7*t**2 + 10\/7*t + 4\/7 = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*j - 31*j - j.\nAnswer: -71*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jvrj when four letters picked without replacement from xruxrruxxjjrvuxurj.\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) + (2*sqrt(250))\/sqrt(5))*2*1)\/(-6*(sqrt(10) + -4*sqrt(20)\/sqrt(2))*6).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {n: 7, g: 12}.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 486?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/14 - (-3 + 1931317\/126). Let j = 15333 + b. What is the common denominator of j and 91\/38?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*p - 61 - 11*p**2 + 61 wrt p?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 412 + -412. Let h(z) = z - 14. Determine h(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 z when four letters picked without replacement from {z: 4, o: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -250.9 + 251. Which is the closest to x? (a) 2 (b) -0.1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2145 by 1.\nAnswer: -2145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**2)**(-43)*(k*(k*k\/k**(-2)*k)\/k)**(-2\/11) assuming k is positive.\nAnswer: k**(-1429\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3165 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85160?\nAnswer: 2, 5, 2129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 2*w, 44648 = 4*c + 4*w + w. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 7*d. Suppose j + d*b - 2*b - 28 = 0, 5*b = -j + 49. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001754 to 7 dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 6}. What is prob of picking 4 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*h + 71*h - 18. Suppose -38 = -2*j - l, 6*j = 5*j + h*l + 12. Calculate the highest common factor of 234 and j.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 0. Suppose 4*w + 12 = -2*u, -2*u + 9 = 2*u - 3*w. Solve -r*y = -u*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 0.03, -4, 16, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 26.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.81584603 rounded to 3 decimal places?\nAnswer: -27.816","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k**4 - 15*k**3 + 50*k**2 + 60*k + 8 = 0.\nAnswer: -2, -1, -2\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 38*(0 - (-3)\/6). List the prime factors of c\/((-2)\/(2 - 4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*o + 2690 = 15182 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -573440 by -81920.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 422*o = 2514. Solve 4*v = -5*p - 3, -p + 6 = -3*v - o*p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 33*t**3 + 407116782*t + 34 - 407116782*t.\nAnswer: 33*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2250438+0.5\nAnswer: -2250437.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 9*y - 150. What is the remainder when 54 is divided by r(20)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11200 divided by 2240\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 4 - 1. Suppose -a = 4, 27 + i = -2*j - 3*a. What is the units digit of (-34)\/j - 2\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - g - 24. Let r be a(7). Solve -4*f + f + 4 = w, 5*f - r = 4*w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**3\/7 - 114*g**2\/7 + 2*g\/7 + 114\/7 = 0.\nAnswer: -57, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 16 = 0, -4*w - 1621 = -5*k - 8725. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -857b5?\nAnswer: -857b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 630*m**5 + 1167*m**4 + 660*m**3 + 129*m**2 + 6*m = 0. What is m?\nAnswer: -1, -1\/2, -2\/7, -1\/15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8237311 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: Which is smaller: 420 or 419?\nAnswer: 419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(3*-1*sqrt(130) + sqrt(130) - (sqrt(130)*-1*4 - sqrt(130))))\/((sqrt(60)*-2)\/sqrt(6) + (sqrt(10) - sqrt(160))*-5).\nAnswer: -6*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 522537474?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/((-5)\/(30\/27)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 3*d**5\/4 - 5*d**4\/6 - 2*d**3 - 5*d**2 + 107*d + 2. Is s(7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2797 is divided by 24?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 643761 (base 11) to base 5.\nAnswer: 230423102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -51, -1.6, 2, 0 in descending order.\nAnswer: 2, 0, -1.6, -7, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4882.37 millennia to years.\nAnswer: 4882370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 69*b**2 - 2*b - 1. Let i(l) = l**3 + 5*l**2 + 5*l + 3. Let j be i(-4). Let m be n(j). What is the greatest common factor of m and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0)**(-1\/10)\/((((i**1*i)\/i)\/i)\/(((i*i**(-2\/11))\/i)\/i)))**(-1\/72) assuming i is positive.\nAnswer: i**(13\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2 + 25*c - 11. Let n be a(-13). Let j be ((-3 - -3) + -3)*(-2)\/n. Solve -5*m = 2*w - 4 + 32, j*w - 4 = 4*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 2115 = -4*c, 2637 = 5*c + 13*d - 10*d. What is the greatest common factor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/5? (a) -14\/179 (b) 8\/31 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 523554583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24 - -209?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 68 and 196?\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/120 + 7*w**5\/60 + w**4\/8 - 4*w**3\/3 + 3*w**2. Is y(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t - 4. Let s(m) = -4*m + 5. Let b(z) = 5*g(z) + 4*s(z). Let r(y) = -y. Calculate b(r(n)).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/7 in -1\/3, 4.8, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101 - 11011?\nAnswer: -20112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**12)\/u*((u*u\/(u*u**4\/u)*u)\/u)\/u*(u\/u**(2\/5))\/((u*u**(-2\/3))\/u*u) assuming u is positive.\nAnswer: u**(139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (4*sqrt(1088)*3*3 - 5*(-2 + (sqrt(1088)*-3 + sqrt(1088) - sqrt(1088))))*-5)**2.\nAnswer: 187680*sqrt(17) + 70749316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4383*f + 694107 = -4374*f. What is the ten thousands digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 106187 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 17. Suppose -3*c = -5*n + i, -n + 4*c - 3 + 2 = 0. Let q(t) = -t**2 + t**2 + t**2 + 4 - 3*t. Determine q(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4*(sqrt(475) + (sqrt(475) + 0 - sqrt(475)) + 2) + -1 + sqrt(475) + 2 + 3)**2 + 5.\nAnswer: 120*sqrt(19) + 4294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -367471\/22 + 16700. Let x = -20\/11 - 367\/22. Find the common denominator of g and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3588 and -0.3.\nAnswer: 1076.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**3 - 10*l**2 - 14*l + 26. Calculate f(-6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/7)*l**(-2\/23)\/l)\/(l**(-2))**(-4\/19) assuming l is positive.\nAnswer: l**(-5924\/3059)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 180\/(-1305)*29*-6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -27 + 25 + 12*r**3 - 13*r**3 + r + 9*r**2. Let x = -12 + 21. Calculate b(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/18*2756\/53\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/892 (b) 0 (c) -2\/5 (d) 0.065 (e) -5 (f) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 257, 967, 2157, 3833, 6001, 8667?\nAnswer: 11837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + 21. Calculate the remainder when (-756)\/84 - (-1 - 88) is divided by b.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 - 6791?\nAnswer: -6788.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s**2. Suppose -3*n + 5*n = 4. Let c(u) = 65*u - 2*u**n - 35*u - 30*u. Give t(c(h)).\nAnswer: 8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/18*-6 + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60265269 a multiple of 3148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p**2 - 1. Let f be ((-4)\/(-6))\/(4\/6). What is the least common multiple of 7 and q(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twywgywpttggghw. What is prob of picking 1 p and 1 t?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 2\/7 (b) -5 (c) -1\/1296 (d) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*d**2 + 2*d**3 + 126*d - 250*d + 124*d.\nAnswer: 2*d**3 - 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/7, -0.16, -1, 3\/5, 0.3, -14 in descending order.\nAnswer: 5\/7, 3\/5, 0.3, -0.16, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xppxnrxxppxxyrpn. What is prob of sequence xppr?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9165752184?\nAnswer: 2, 3, 37, 617, 16729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, u: 3, v: 2, d: 4}. Give prob of picking 2 v and 1 u.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 520824, 520820, 520816, 520812, 520808?\nAnswer: 520804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s**3 - s**2 + 7*s - 1. Let c(f) = 7*f**3 + f**2 - 8*f + 1. Let a(n) = -5*c(n) - 6*j(n). What is the units digit of a(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9648*j**2*p*x - 3134*j**2*p - j*p*x - 134*j*p - j*x + 592*p*x - 61*x wrt j?\nAnswer: 19296*p*x - 6268*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkbus. What is prob of picking 1 f and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 2, 4.378, 1\/11.\nAnswer: 0.09, 1\/11, 2, 4.378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/25093 and 27\/49.\nAnswer: 1229557","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -63*b**2 - 5*b - 6. Let y = 50 - 91. Let r = 40 + y. Let x be a(r). Do x and -63 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 + u**2 - 3*u**2)*(-2*u**3 + u**2 - u**2) + 3*u**5 + 4*u - 4*u + 50*u + 12 + 2432*u**5 - 2429*u**5 - 10.\nAnswer: 2*u**5 + 50*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a - 3*k - 10 + 22 - 18, 8 = -4*a - 4*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (449*d + 31*d**2 - 449*d + (-2*d - 2 + 2)*(2 - 2 - 3*d))*(4*d**3 + 2*d**3 - 3*d**3).\nAnswer: 111*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1590*i = 50889 + 12711 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3708*s + 420*s + 3031*s - 343*s - 165*s.\nAnswer: 6651*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 4*p**2 + 6*p + 9. Suppose y = 2*k + 9, -y - y = -6. Let s be u(k). Solve -4 = -s*w + w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/5 - 3*p**2 + 21*p\/5 - 9\/5.\nAnswer: 3*(p - 3)*(p - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 4*s**2\/9 + 99428*s\/9 - 198872\/9 = 0.\nAnswer: -24859, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve q + 5*j - 22 = 0, 3703*j - 12 = -2*q + 3701*j for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -1, -114, -2\/3, 1107\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -522*a + 24 = -530*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + -2)*(-4)\/(-2). Is 12 - (-3)\/(-1 + f) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-628)\/4082)\/((-1)\/(-247))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.49812 millilitres to litres.\nAnswer: 0.04049812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.39166l in millilitres?\nAnswer: 3391.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**3 - 825*c**2 - 4*c**3 - 8*c**3 + 825*c**2.\nAnswer: -16*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*((1 + sqrt(1573) - sqrt(1573)) + 5)*3.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 AM and 12:01 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2126 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 64*x**2 - 45*x - 65. Let l be n(-2). Solve l*u + 35 = 276*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -2*r**2 - 3 + 11*r + r**2 - 4*r. Let m be k(6). What is the third derivative of -v**2 + 4*v**4 - v**2 - m*v**4 + 4*v**2 wrt v?\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5529443 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -3) + 11 + (5 - 8).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a - 219 - 516. Let n = a + 304. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*c = 2*c + 6*c - 84664. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 925806 to the nearest integer?\nAnswer: 962","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 318496116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2 = 6. What is the units digit of ((-5)\/10)\/(v - (-723)\/(-360))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -311, 59261 in decreasing order.\nAnswer: 59261, 15, -311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -20*m**2 - 12*m + 7. Let d(i) = 9*i**2 + 7*i - 4. Let w(s) = -14*d(s) - 8*u(s). Let r(n) = -n**2 + n. Determine 2*r(q) + w(q).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 7*z**2 + 11*z - 3. Let y be h(5). Suppose t - 4*t = -d + 2, -3*t - 16 = -y*d. Is ((-5)\/(75\/(-5646)))\/(d\/35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9937 + -10007059?\nAnswer: -10007060.9937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -u + 3*x, 0 = u + 5*x - 3*x + 6. Let a be (1 + 0)\/(1\/5). Let h = a - u. What is the remainder when 9 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*(sqrt(252) + (sqrt(252) + -2*sqrt(252))*2))**2 + -5.\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2135 less than or equal to 14949\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5728085*q + 5604888.\nAnswer: -5728085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2*sqrt(325) + -2 - (-2*sqrt(325) + 0) - (sqrt(325) + sqrt(325)*1 + 0 + -2)) + -2)**2.\nAnswer: 240*sqrt(13) + 7824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000100684769 rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 - (-14)\/28. Let i(p) = -p**2 - 3*p + 6. Let j be i(-4). Are f and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (4\/30)\/(9\/(-480)) and 201\/30 + 2\/5?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, 5, -5414, -17, -1 in decreasing order.\nAnswer: 5, -1, -17, -19, -5414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 3. Let t(r) = -z - 7*r - 7 + r**2 - r + r. Calculate the lowest common multiple of 2 and t(10).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4067?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 17) + (-5 - (-9 - -4)) + 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53934768 is divided by 129?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 1\/60*j**6 + 6*j**2 + 9*j**4 + 0 - 72*j**3 + 0*j - 3\/5*j**5. Suppose i(t) = 0. What is t?\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/2042 and 2871\/22*(-2)\/24?\nAnswer: 8168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13217?\nAnswer: 13217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26542.\nAnswer: 2, 23, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 + v**2 - 9*v + 2. Let o be k(-3). Suppose -y - o = 2*m, -2*y + 18 = -2*m - 2*m. Put 1, m, 11, 2 in decreasing order.\nAnswer: 11, 2, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*q = 10, -1214*q + 1209*q = 2*v + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/5)\/(7*4\/490).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**2 - 6*n - 2094. Let f be h(0). Let p = 806\/3 - -22087\/12. Let o = p + f. What is the common denominator of 95\/18 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*r = -82*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6\/19 + 55\/114. Let l(z) be the second derivative of z + r*z**3 + 0*z**2 + 0. Let n(v) = -4*v**2. Determine n(l(f)).\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-38)\/9 + (-4)\/(-18). Let u = -33 - -33.52. Let g = 0.02 - u. What is the closest to n in -1\/6, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 53 (b) -1\/71 (c) 8.6 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3522 or 3568?\nAnswer: 3568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/30 - (-34)\/85. Let q = 2 - 5. Let s = q + 0. What is the nearest to r in s, -1\/9, -2?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 5. Let s(f) = -7*f. Let x(p) = 2*p + 1. Let n(d) = -s(d) - 4*x(d). Give 3*n(r) + 2*q(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10411 - 10381. Solve 0 = -14*n - n - a for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -28 + (20 - (14 + 1)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 3*z + 10. Let l be c(-5). Let w be 1\/(3 - (l + 2)). Let u(n) = 8*n**2 - 2*n + 1. Let d be u(w). Solve 3*t + 8 = -d for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 5675?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 165*b - 52*b - b**2 - 9*b**3 + b**2 - 191*b**3 wrt b?\nAnswer: -1200*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, -31.7, 29, -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 5) to base 13\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d + 58. Let j be b(-18). Suppose 0 = -4*n - j*k, -2 = k + 1. Solve n*z - 8 = z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - ((-7)\/4 + 2)) + 1862\/10584.\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Suppose -p + 4*p - 23 = a*j, 2*p = -3*j + 24. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*c - 4, -m = -4*c + 29 - 7. Suppose -c*r = 291 - 776. Does 30 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p + 6. Is o(-14) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -a + m, 0 = 3*a + 2*a + 5*m - 10 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36015 and 945?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 0.05, 30, -4\/5, 0.5, -3\/5?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a. Let z be k(-2). Let t = -7 - z. What is the remainder when (3 + -26)*(-2 - t) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8402 or -285653\/34?\nAnswer: -285653\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 4:05 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/38 and 11\/76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*l - 12943 - 59287 = -5*r, 0 = -3*r - l + 43328. What are the prime factors of r?\nAnswer: 11, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 101 + -11?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4528807um in meters?\nAnswer: 0.0000004528807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9656*b = 9666*b - 1830. Solve b*q = 176*q - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-25)\/(-1) - -1)*1?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000016876 rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 6 - 3*l**3 - 4*l**2 + l**3 + 4*l - 3*l**2. Let h(r) = r**3 - r - 1. Let k(v) = -4*h(v) - x(v). Give k(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a**2 + 50*a - 11. Let v be x(5). Solve 42*i - v*i + 3 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -32, -20 in decreasing order.\nAnswer: -0.2, -20, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + j**3 + 192*j**2 - 2*j - 193*j**2 - 2*j**3 + 2 to the form u*j + b*j**2 + z*j**3 + n and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 59 - 57. Suppose -20 = 4*p - 4*n, s*n - n + 5 = 0. Let t(u) = -5*u - 43. Let j be t(p). Which is the smallest value? (a) 5\/4 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - x - 2*v + 76, -2*x + 40 = 2*v. Suppose -4*y - 2 = -x, -4*y - 44 = -3*l. What is the highest common divisor of 60 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (1 + 1 - -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90007 - 967*d**2 - 90007.\nAnswer: -967*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 + 2*a**2 + 15*a. Let p(g) = -3*g**3 - 3*g**2 - 29*g. Calculate 3*p(z) + 5*q(z).\nAnswer: z**3 + z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t**5 - 15792*t**4 - 15813*t**3 + 11847*t**2 + 7905*t - 3951 = 0. Calculate t.\nAnswer: -1, 1\/2, 1317","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/10*-266*(-1000)\/(-15200).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27\/33 - 1) + 2597\/11319. Let u(y) be the second derivative of 0 - m*y**4 + 20*y + 0*y**2 + 1\/21*y**3 + 1\/70*y**5. Determine d so that u(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 129023?\nAnswer: 129022.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2046020, 2046023, 2046036, 2046065, 2046116, 2046195?\n\"Answer: j**3 - j**2 - j + 2046021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -14*f**2 - 39*f + 11. Let o(c) = -c**2 + c + 1. Let i(d) = 22*o(d) - 2*z(d). Find the second derivative of i(s) wrt s.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.1674 decades to millennia.\nAnswer: 0.821674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227853604.\nAnswer: 2, 11, 1913, 2707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/2))\/(k**1\/k)*k\/((k**2\/k)\/k)*k**(-1\/4))**13 assuming k is positive.\nAnswer: k**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gfgy. Give prob of sequence fygy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 179 in 5, 5\/4, -2\/5, 0.15, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15060 divided by 14201?\nAnswer: 15060\/14201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 103*a**2 + a + 1. List the prime factors of u(-1).\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = b - 13. Let r be 3*b\/12*(1 + -2). What is the highest common factor of 21 and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 21 = -h, -h = 2*j + h - 14. Let d(t) = 8*t + 8. Let f be d(j). Calculate the highest common factor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.5 or -44511543?\nAnswer: -44511543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 321846635 a multiple of 935?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*k**3*s**5 + 1370*k**3*s**2 + 239*s**5 + 30 wrt s.\nAnswer: 420*k**3*s**2 + 14340*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23567570?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvfv. Give prob of sequence fv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 3. Let w(f) = 26 + s + f**2 - 32. Let r(m) = -4. Determine 9*r(j) + 4*w(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256, 412, 666, 1018, 1468, 2016, 2662?\nAnswer: 3406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-12) + (-265)\/4. Let i be (-144)\/l - (-2)\/(-11). Suppose -i*q - 11 = -197. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujqu when four letters picked without replacement from ujuqwwt?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*g - 143 wrt g.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.799502 years in decades?\nAnswer: 0.0799502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2197389307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(21)\/(6*-3*sqrt(7)) - ((-4*sqrt(9) + sqrt(9))\/sqrt(3) + -3)) + 5)**2.\nAnswer: -106*sqrt(3)\/9 + 3241\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**2 - 10*a + 10. Let k be w(10). Solve 4*y + 0*g - 30 = -2*g, -2*g = -k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100111001001000011101 (base 2) to base 16.\nAnswer: -13921d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 215.56?\nAnswer: -64.668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 7:28 PM?\nAnswer: 5:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 - 5*i**2 + 5*i + 2. Let k be (-34)\/153 + 1\/(18\/94). Calculate w(k).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264145620?\nAnswer: 2, 3, 5, 281, 15667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 f when four letters picked without replacement from {g: 2, f: 4, p: 7}.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 42.10686g?\nAnswer: 0.00004210686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10307\/495 + -7 - 17 - -4 - (-4)\/(-18).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000 + 10210221211?\nAnswer: 10210212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 + 57. Let a = s + 43.16. Round a to one dp.\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*p + 3*k, -3*k + 6*k - 3 = 0. Solve p*g = -2*x + 8, 3*g - 4 = g - x for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-229 + 1)*(-3915)\/14877.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 969?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 49085, 49090, 49097, 49106, 49117, 49130, 49145?\n\"Answer: r**2 + 2*r + 49082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/8 of a week?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.5 (b) 9 (c) 0.8 (d) -1.87 (e) -1 (f) -4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -10*x**2 - 77*x - 581. Let o(y) = -3*y**2 - 26*y - 194. Let w(s) = 6*a(s) - 21*o(s). Factor w(g).\nAnswer: 3*(g + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 319\/2302 or -1?\nAnswer: 319\/2302","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*j + 45 = 18*j. Sort 9, j, 2, 4.\nAnswer: j, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 - 8\/(-4)) + 7. Let q = 1.9 - 0.9. Which is the nearest to 0? (a) 2 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r. Let o(q) = -43*q - 29. Let g(i) = -5*c(i) + o(i). Let p(n) = 114*n + 89. Let z(l) = -17*g(l) - 6*p(l). What is the derivative of z(a) wrt a?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 604, 610, 612, 604, 580, 534, 460, 352?\n\"Answer: -h**3 + 4*h**2 + h + 600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(847) + sqrt(847)*-1*6 - sqrt(847))**2 + -5)*1.\nAnswer: -121948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.002*-1680232.\nAnswer: 3360.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*q**4 + 103 - 103 + 0*q - 3*q wrt q.\nAnswer: -108*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -545, -547, -549, -551, -553?\n\"Answer: -2*d - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -33.1098 and 3.7.\nAnswer: -29.4098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 5*t**2 - 2*t - 5. Let d(j) = -18*j**2 + 6 + 5*j**2 + 3*j + 7*j**2. Give 3*d(s) + 4*y(s).\nAnswer: 2*s**2 + s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) -2\/3 (c) -114 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j - 10*j = 0. Suppose -t - 2*o = -434, -2*o + j*o - 6 = 0. Is t a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + z = 1. Let c be z\/(2 + (-9)\/6). Sort -2, c, 1.\nAnswer: -2, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -3. Let n = 488 + -749. Let c = n - -2873\/11. Which is smaller: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.50501 * 0.3.\nAnswer: -0.151503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3*w - 7 + 5)*(-127*w + 17 + 64*w + 67*w) + 0*w**2 - 2*w**2 + 5*w**2 to the form z + y*w + h*w**2 and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -4*b - 11 + 39, a + 18 = 4*b. Let w = b - 5. Suppose w*q - 3*q = -r + 3, -2*r = -5*q - 5. Solve -h + r = -5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 5*p**8\/84 - 11*p**4\/12 + 26*p**2. What is the second derivative of k(i) wrt i?\nAnswer: 400*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00015730872 rounded to 6 decimal places?\nAnswer: -0.000157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y*y**(-20))))\/y)**(-47) assuming y is positive.\nAnswer: y**893","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 15 = -0*c. Let t = 31 + c. Suppose 251*n - 11596 = -641*n. Calculate the remainder when t is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, l: 5, z: 1, k: 1, a: 1, q: 2}. Give prob of sequence qa.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 44) + (-4 - -18).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 3. Suppose 0 = -n + 2*t - t + 35, -3*n + 2*t + 106 = 0. Let u = 38 - n. Solve -3*i + u = -z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 746 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 14590257 divided by 1551\nAnswer: 9407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16864967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 305 + -301. Solve -2*l - 14 = -2*g, 0 = -0*l - d*l - 4*g + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 + -9. Let p(h) = -h**2 + 7*h - 4. What is p(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/125 of a tonne in grams?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 58\/(-87) + 2\/30\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 235*u + 157*u + 260*u - 101*u to the form f + l*u and give l.\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 837 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 5 = 4*y. Suppose 0 = 2*b + y - 10. Solve -b*h - 5*k = -13, -2*k + 9 = 3*h + 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-2)*(109 + 1). Let c = 89 + -88. Suppose -w - c = -4*v. Calculate the highest common divisor of v and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3\/7, 3\/8, -7?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4\/7 + 24*v**3\/7 - 30*v**2\/7 - 52*v\/7 = 0. Calculate v.\nAnswer: -13, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-8 + -16 + (6 - 1) - -3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5517, -4954, -4029, -2742, -1093, 918, 3291?\n\"Answer: 181*s**2 + 20*s - 5718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61.78476 rounded to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -465 or -61081?\nAnswer: -465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -783 = r - 6*r - 4*m, -r - 4*m = -163. Let l = r + 20. What is the highest common factor of 25 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, -8, 1, 437 in descending order.\nAnswer: 437, 1, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = x + 24. Is 8 at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9715 + 10185. Calculate the remainder when 1248 is divided by u.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 16 = -2*l + 8*h, -4*l + h + 4 = 0. Suppose q + 1245 = 2*d, l*d - 5*d - 4*q = -3119. List the prime factors of d.\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 1, 0.5, -2\/221, -7\/4, -1\/4, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -301790 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.128736 minutes in days?\nAnswer: 0.0000894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = 4*h + 2*o, -4*h - 381 + 349 = 4*o for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-6)*(-129)\/(-86)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + a + 66 = 6*t, -4*a - 50 = -t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -52097 - 1?\nAnswer: -52098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/9*((-7)\/((-392)\/(-64)) + (-71)\/(-7))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.915 + -38.215. Let k = u - 0.7. Is 0 not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46834 (base 15) in base 5?\nAnswer: 24141344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62239399*w**3*x**3 + w**2*x**3 - 110*w**2 + 15*w*x**3 - 5*w*x + 2*w + 2*x**2 wrt w.\nAnswer: -373436394*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 5*m + 10, 0 = 3*u + 3*m + 8 - 32. Let r be u*1\/9*-2. Let w = -55 + 55. Is w greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**4 + 640*o**3 - 9622*o**2 + 72*o - 8. Let t(b) = -b**2 - 9*b + 1. Let l(q) = -8*t(q) - x(q). Find the third derivative of l(i) wrt i.\nAnswer: -24*i - 3840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 10. Suppose -4*l = -9*l + 25. Suppose k*r = r + l. What is the remainder when 2 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 23 = -4*p. Suppose -5*l + 40 + p = 0. What is the remainder when l is divided by 11 - (1 + (-3 - -8))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k + 16. Let o be d(6). Let v(x) = x**2 + x - 6*x**2 + 7*x - 2*x + 7 + 2*x**3. What is the tens digit of v(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*m**2 - 1 - 2 + 0 + 4*m**3 - 5*m**3 as z*m + r*m**2 + a + h*m**3 and give r.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 2. Suppose -a*f - 47 = -143. Suppose -127 - 29 = -12*m. Calculate the remainder when f is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 45\/10*(-2)\/3. Let m be -1 + (-2190)\/135 + 2\/9. Let z = b - m. Which is bigger: 0.1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 36*h**3 + h**2 + 5*h + 45. Let c(k) = -18*k**3 - 2*k - 23. Let n(a) = -5*c(a) - 2*w(a). What is the first derivative of n(r) wrt r?\nAnswer: 54*r**2 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w + 3 = -5*g, 4*w + 4 = 4*g + 8 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (14\/98)\/(198\/(-30030))*((-56)\/(-5))\/(-2). Suppose 4*v - 49 - 439 = 0. Is m greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160815, 321708, 482601, 643494, 804387?\nAnswer: 965280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2. Let c(p) be the third derivative of -p**4\/12 - 2*p**3\/3 + 409*p**2. Calculate c(z(s)).\nAnswer: -2*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - n + 19 = 0, 3*n - 13 + 1 = 0. Suppose 57*v = 74*v + 204. Let j = o - v. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238*n = -12*n + 5111 + 313 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 594.6 - 14.6. Let y = 580.1 - f. Which is the closest to 2? (a) 0.5 (b) y (c) -1.1 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*r + 2*d + 3, -4*r + 16 = 4*d. Suppose -r*q - 26 = 1. What is the third smallest value in q, 2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 441795069?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9993715 millilitres in litres?\nAnswer: 0.0009993715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 1 - ((-1 - -50) + (-71 + 31 - -44))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eodee. Give prob of picking 2 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -78450*a**2 - 50521?\nAnswer: -156900*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002950508 to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {q: 7, y: 5, d: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4705.\nAnswer: 5, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*a = 947 + 2056. Is a a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/616 and 151\/1484868?\nAnswer: 2969736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3720 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 19.97*-310\nAnswer: -6190.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1019 divided by 1.\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of 0*h**3 - 2*h + 0*h**2 + 0 - 1\/6*h**4. Let d(r) = r**2. Let b(y) = 7*y**2. Let w(j) = b(j) - 4*d(j). What is v(w(m))?\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -9. Let v be 2 + 0 + (t - 4). What is the second derivative of -383 + 2*l + 383 - 2*l**v wrt l?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, p: 3, y: 5}. What is prob of sequence qpyp?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -73 + 69. Sort 26, o, -5 in increasing order.\nAnswer: -5, o, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2573 - -3028. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -2*c - 14. Suppose -3*p = -2*p. Suppose -2*t + 22 = -p*t. What is the highest common divisor of c and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**2\/5 - 3114*y - 2719887\/5 = 0. What is y?\nAnswer: -5009, -181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -14478949, -14478892, -14478837, -14478784, -14478733?\n\"Answer: -z**2 + 60*z - 14479008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28208)\/(-100) + (-12)\/150. Which is the second smallest value? (a) -0.2 (b) z (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q**2 + 5*q**3 - 6*q**2 + 7*q**3 - 10*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 3)*(4*j**2 + j**2 - 4*j**2 + (1 - 3*j - 1)*(74*j - 200*j + 69*j)) to h*j**2 + i*j + t and give h.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 5:34 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smrrsrsr. Give prob of picking 1 m and 3 s.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5025260447 to the power of 1\/3, to the nearest integer?\nAnswer: 1713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 0 = -a. Suppose 4*q = 5*t + 12, 5*q - 20 + a = 3*t. Suppose 3*r + 7 = 2*g, -5*r = -3*g + 2*g + 7. Solve 11 = -q*h + 4*w, 3*w + 1 + g = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1028880 and -157\/6687720.\nAnswer: 13375440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 4\/3 (c) 0 (d) -0.5 (e) -17.59 (f) 0.12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 381.23 - -7.77. Let x = 628 - m. Let c = -238.9827 + x. What is c rounded to 3 decimal places?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 1 + 3)*(m**2 + 2*m**2 - m**2) + 0*m**2 - 2*m**2 + 3*m**2 - m**2 + m**2 - m**2 + 631*m**2 - 630*m**2 + 306*m - 28*m as o*m + v + a*m**2 and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2949*c**3 - 2*c**2 + c + 2. Let p be v(-1). Suppose 0*w = 5*w, -3*w + p = 4*i. Suppose 0 = 7*j - 2*j + s - i, j + 5*s = 157. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*o**5 + 401*o**3 + o**2 + 297*o - 23.\nAnswer: 60*o**3 + 2406*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9676?\nAnswer: 2, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (-3 - (-3 + -13)). List the prime factors of (-150)\/(-8) - r\/48.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 18*t**3 + 505104*t**2 + 1683530*t + 1402900 = 0.\nAnswer: -28058, -5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 + s**4 - 4*s**4)*(0*s - s + 2*s) - 5*s**5 + s**5 + 3*s**5 - s**5 + 1 - 1 + (2 - 5 + 1)*(3*s**3 - 3*s**3 + s**5) + 5*s**5 + 4*s**5 - 6*s**5.\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 3*b + 177 = 0, -k + 3*b = -96. Suppose 3*a - 81 = -4*s, 3*a - 2*s + s = k. Let v = 270 + -266. Sort v, 1, a.\nAnswer: 1, v, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/((-378)\/(-45)))\/(50*(-6)\/(-10080))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 423 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -p**4\/4 + p**3\/3 + p**2\/2 - p + 7. Let v be m(-2). Let k = v + -5. Put 8, k, 3 in descending order.\nAnswer: 8, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + l**2 - 3*l - 5. Let r(f) = 3*f - 5*f + 3*f + 4. Let k(g) = -g - 5. Let q(u) = 3*k(u) + 4*r(u). Let d(x) = -h(x) - 4*q(x). Factor d(w).\nAnswer: (w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 2 w when four letters picked without replacement from sppwpwwppwswssw.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, 3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 3. Let d(o) = -b - 5*o + 2 + o**2. Determine d(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s - 19. Is m(12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 56336\/55 or 1024?\nAnswer: 56336\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 5*q + 5. Let h be -1*(7 + -3 + -3). Let x be s(h). Sort -1, -5, x in ascending order.\nAnswer: -5, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8687\/3 - 2896. Which is the closest to 21? (a) o (b) -3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132474 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 592*l**3*w**2 - 15*l**2*w**2 + 2*w**2 + 24*w + 49 wrt l?\nAnswer: 1776*l**2*w**2 - 30*l*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -53595.57 rounded to the nearest 100?\nAnswer: -53600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*x + 34*x**2 - 13*x)*(10*x + 19*x - 5*x) as o*x + h*x**3 + q + n*x**2 and give h.\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 260792.8 kilograms?\nAnswer: 260792800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 4*r - 16, -25*r + 24*r = 2*q - 9. What is the nearest to 0.1 in 0.2, -0.5, 9, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 0, -5, -4, 23 in descending order.\nAnswer: 42, 23, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.0163, -0.1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9330 take away -0.8?\nAnswer: -9329.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*z - 262, -4*t = -3*t + 4*z + 79. Let f = t - -78. Calculate the remainder when f is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*h - 3*h + 4*h)*(-2115 + 2*h**2 + 229*h + 2115) in the form g + u*h + m*h**3 + q*h**2 and give m.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 22*j**2 - 21*j - 5. Let f be c(21). Sort -4, -8, 5, f.\nAnswer: -8, f, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 127338?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 239 - 233. Suppose -3*c + 102 - 69 = v, 5*c = -3*v + 87. Calculate the smallest common multiple of h and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -20. Let y(b) = -b + 9. Let n be y(6). Sort n, -2, a.\nAnswer: -2, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 + q. Let x be n(1). Suppose t + 742 = 4*i, -x*i + 4*t = -250 - 128. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10996.02 and 110.\nAnswer: 1209562.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 89 = -f + 2*y, y - 19 = 2*f - 3 + 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + 2*sqrt(931) + -1.\nAnswer: -1 + 21*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 11 = -4*b, 4*v + 95 - 83 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -q**6\/24 - q**5\/20 - 7*q**4\/24 - 4*q**3\/3 + 40*q**2 - 7*q. Let p(w) = 9*w**3 + 6*w**2 + 13*w + 15. What is 11*m(r) + 6*p(r)?\nAnswer: -r**3 + 3*r**2 + r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/7 - 183062*u\/7 + 26152.\nAnswer: -2*(u - 1)*(u + 91532)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 9*o + 4212. Calculate the remainder when o is divided by ((-69)\/(-138))\/(((-4)\/10)\/((-236)\/5)).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((3 - (-9 + -2)) + 32 + -14 + 2).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 420910.\nAnswer: 2, 5, 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d - 3. Let s(n) = -n**3 + 6*n**2 - 7*n + 21. Let i be s(5). Suppose u + 0 = -4. Let j(q) = -5*q - 8. Determine i*g(c) + u*j(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29656 = -1533*b - 10202 for b.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fkkcnxk. Give prob of picking 2 k and 1 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 465 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7086, 13927, 20758, 27573, 34366, 41131?\n\"Answer: -j**3 + j**2 + 6845*j + 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -37, -47, -73, -121, -197?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85 divided by -1068.\nAnswer: 85\/1068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 7056 divided by 2352\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 94253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Let w(l) = 6 - l**2 - 7*l**3 - 1 + 0*l**t + 0*l**2. Let g(m) = -8*m**3 - m**2 + 6. Give 5*g(h) - 6*w(h).\nAnswer: 2*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -219 by 245.\nAnswer: -219\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 16) to base 14\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13)*-1 + -3)*5 - (sqrt(468)*2 - sqrt(468))*-2)**2.\nAnswer: -210*sqrt(13) + 862","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -24\/455 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 13.3. What is the nearest to -1 in j, 0, 0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 6 + 1)*(-2*m**3 + 0*m + 0*m)*(-2*m**2 - m**2 + 6*m**2).\nAnswer: 42*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 2*a. Let q(n) = 11*n + 2. Let c(h) = 90 + 11*h - 170 + 83. Let g(k) = -2*c(k) + 3*q(k). Calculate l(g(w)).\nAnswer: 22*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjy when three letters picked without replacement from {y: 1, d: 1, j: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**4 + r**3 - 2*r**2 - r + 1. Let z(k) = 25*k**3 - 105*k**2 + 122*k - 38. Let f(n) = -2*o(n) - z(n). Suppose f(d) = 0. Calculate d.\nAnswer: 1\/2, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 274, 4, -4, -15, 44 in decreasing order.\nAnswer: 274, 44, 6, 4, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38 + 40. Solve 5*y - 4*n + 13 = 0, -j*n + 6 = -2*y - 0*n for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*w - 17, -2*d + 5 + 18 = -3*w. Is 106\/d*(5 - 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-2)\/(-28)*7\/(-9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18965, -76066, -171311, -304706, -476257, -685970, -933851?\nAnswer: -1219906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 649490 + 3*s + 110155.\nAnswer: 2*s - 539335","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*m**2 + 18*m**2 - 2*m**2.\nAnswer: 68*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -u**4\/3 + 3*u**3\/2 - 15*u**2\/2 - 2*u. Let y = 15 - 9. Let h(p) = -2*p**2 + 4*p - 7. Give y*l(v) - 13*h(v).\nAnswer: 2*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/6 + 1*-3. Let x = -1 - f. Suppose 29 + 2 = 4*b - 5*i, x*b = -4*i + 22. Calculate the remainder when 26 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 0 - (5 - (1 - -1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 36*x**2 - 1716*x - 46*x**2 + 611*x + 66*x**2 wrt x.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f - 15*f**2 - 9*f**2 + 37*f**2 + f**3 - 14*f**2 + 0*f**4 - 2*f**4 - 16 in the form b*f + u*f**4 + j*f**3 + r + v*f**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.000875911 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -939 - -3674. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2613*u - 22788*u**3 - 29511*u**3 - 2613*u.\nAnswer: -52299*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171268?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -395 - -437. Suppose 3*w = w + 758. Find the third derivative of 379*k - 25*k**2 + m*k**6 - w*k wrt k.\nAnswer: 5040*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214048082257.9 + -0.5\nAnswer: 214048082257.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5481\/77 + 1 + (-13)\/11. Let m = 61 - 19. Let c = t - m. Is 8 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.7 - 6.2. Let d = -4.5 - x. Which is the closest to d? (a) -2\/7 (b) 3 (c) 0.11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s**2 + 4*s**2 - 17*s**2 + s**2.\nAnswer: -22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015036 rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 2 + 0 + 0 - 3*j + 8*j. What is the units digit of s(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-20 - -12) - 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3*i**2 - 5*i - 5. Let n(s) = 17*s**2 - 2*s - 9 - 5*s**2 - 6*s**2 - 7*s. Calculate 9*k(m) - 5*n(m).\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 203*m - 39*m - 17056 = 0. Calculate the greatest common factor of m and 124.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 3*z**4\/4 + z**2\/2 + 2. What is h(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2319 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z. Let t(n) = 50*n**2 + 12*n - 12. Let g(h) = -20*h**2 - 5*h + 5. Let m(c) = 12*g(c) + 5*t(c). Determine w(m(v)).\nAnswer: 40*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31\/94 - 11093\/282. Let j = m + 40. Which is the second smallest value? (a) 5 (b) -4 (c) -0.8 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 960 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 5*x + 5*x + 929 - 462 - 457 + 8*x to the form p + f*x + k*x**2 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4*(756\/120)\/((-6)\/35). Let s be ((-4)\/(-2))\/((-10)\/235). Let y = s - w. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1624 or -535?\nAnswer: -535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 123 + 114 - 249 + 9*l - 3*l + 2*l - 2*l - 4 + l + 4 + (-5 - 2 + 5)*(3*l - 6*l + l) + 2 + l - 2 + 0*l + 2*l - 3*l to w + t*l and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -161, -218, -311, -440?\n\"Answer: -18*h**2 - 3*h - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13003?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1 - (-138)\/(-6). Let u be (-6)\/j*(7 - 0). Suppose 5*r - 326 = 3*o, 0 = -u*r - 4*o + 2*o + 140. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6074\/5 - -1216. Let k(x) be the third derivative of h*x**5 - 10\/3*x**4 + 0*x + 7*x**2 + 0 + 2\/105*x**7 + 16\/3*x**3 - 7\/30*x**6. Factor k(l).\nAnswer: 4*(l - 2)**3*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h - 10*h + 10*k = 58, 4*k = -5*h - 68 - 60 for h.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -23443*n**3 + 15145?\nAnswer: -70329*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.105 - 0.105. Which is the biggest value? (a) 209 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 j when two letters picked without replacement from xjpxmggprpxr.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/8*70840\/(-44660)?\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 10. Suppose -z*m + 70 = m. Solve -o - j = 5, 0 = 6*o - 4*o + 4*j + m for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 6*g**2 + 4*g + 10. List the prime factors of k(7).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h = -234413 - 20683. List the prime factors of h.\nAnswer: 3, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/4 - 1051*k**3\/2 + 14771*k**2\/4 + 4218*k = 0 for k.\nAnswer: -2109, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00871 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 22 + 126)*(47 - 47 + 10*p).\nAnswer: 1300*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/19 (b) -2 (c) -4\/7 (d) 0.030512 (e) 2 (f) -5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 227538503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 748 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 99\/12)\/((-17)\/68). Which is the biggest value? (a) -4 (b) 3\/7 (c) -2\/3 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 908064.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: 0.15*7722435\nAnswer: 1158365.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**4 + r**3 - 3 - 2*r - 2*r**4 + 7 - 3 in the form a*r**3 + c*r**4 + w + j*r**2 + g*r and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = 359*x - 354*x - 153, i = -10*x + 308 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168636 and 39936.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1318927, -2637857, -3956787, -5275717, -6594647?\nAnswer: -7913577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019076465631 to 3 dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 17*a**2 - 8*a + 16. Give p(8).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*n**4 - 18*n**3 - 25*n**2\/4 + 27*n\/4 - 1 = 0. What is n?\nAnswer: -4, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 209.6 + -488.6. Which is smaller: 3\/4 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m + 7. Let z(a) be the first derivative of a**2\/2 - a + 2. Let b(g) = -g**3 + 13*g**2 - 13*g + 11. Let n be b(12). What is n*o(v) - 6*z(v)?\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i - 112 - 108 + 220.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 15 + k**2 - 8*k**3 - 2*k - 4*k**3. Let l be o(-5). Round l to the nearest 100.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the first derivative of -17 + 11\/5*m**5 - 5\/2*m**2 + 0*m**4 + 0*m + 0*m**3. What is the second derivative of r(s) wrt s?\nAnswer: 132*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11231 + 11226. Which is the second smallest value? (a) -56 (b) -6 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66651421 (base 7) in base 15?\nAnswer: 78bc6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -18968*h**2. Let p(n) = 6*n**2. Calculate i(p(w)).\nAnswer: -682848*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1548 - 1549. What is the closest to -4\/11 in 2\/13, c, 2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-15)\/(-27)*(-5 + -1))\/((-5)\/12). Which is the nearest to 1\/3? (a) -15 (b) r (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 2\/24177, 27\/2, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1275, -2551, -3827, -5103, -6379, -7655?\nAnswer: -8931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21442037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/4*51\/85 - (-2)\/(-4). Let q = 0.42 + -0.02. What is the nearest to n in -0.4, 7, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*w = 4, 5*b + w = 7*b - 8. Suppose 7*i = 3*i - b. Let k(n) = -5*n**3 - 2*n**2 - n. Let x be k(i). Solve -x*z = -2*f + 11 - 41, -4*f = 20 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -171981 + 248188. Is 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 45178 and 675985506?\nAnswer: 6454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 293745738 to the nearest integer?\nAnswer: 17139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1736?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + -1 + sqrt(304)*3 + 6*(sqrt(304)*2 - sqrt(304)))*3)**2.\nAnswer: 2592*sqrt(19) + 221760","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23051 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -7. Suppose -2*y = 2*y - a. Suppose -b + 4*b - 36 = 3*n, y*n = -3*b + 31. Solve -b = 5*z - 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -36*a**3 + 16*a**3 + 16*a**3 + a wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 8*y + 88. Let i be f(-14). Suppose -i*h - 11 + 230 = m, -3*m = 2*h - 117. What is the greatest common divisor of 234 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 - 4555*90\/6950.\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29902 + -29902.1. Which is the closest to 2? (a) -0.8 (b) s (c) 1\/3 (d) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21947 = -1223*y - 19087 + 1605 - 8268 for y.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3254 (base 8) in base 16?\nAnswer: 6ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((2\/(-4))\/1). Suppose l = -l - a. Let m be (1 - 52\/44) + (-16)\/33. Is m <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 2. Let s(b) = -14*b**2 - b + 11. Give -11*o(t) - 2*s(t).\nAnswer: -5*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2578630358.\nAnswer: 2, 3947, 326657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 74 = 7*p. Let w = p + -104. Let r = 45 + w. Calculate the remainder when 88 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*k - 334 = 0, 3*n - 256 = -9*k + 4*k. What is the remainder when 88 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6998 (base 12) in base 3?\nAnswer: -121011022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 0*w + 2 - 3*w + 4*w. Suppose -77 = -3*f - 4*f. Suppose -2*j = -u + f, 3*u - 15 = -3*j + 6*j. What is z(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1328817?\nAnswer: 3, 7, 63277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**45\/s*s**(-32) assuming s is positive.\nAnswer: s**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.9 + 1.33. Let k = 3 + -3.03. Let h = k + l. Which is the nearest to -1\/2? (a) 2 (b) 3 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-7) + 4\/(-14). Let u be a\/2*-1 - -1. What is the second derivative of 3*c**3 - c - 2*c**3 + u*c wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 42143802 and 122?\nAnswer: 42143802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-9) + (-4)\/3. Suppose 2*d + 4 = b, 0*b - 2*d + 28 = 3*b. Let q be 20\/b*(-4)\/(-5). Sort -1, f, q in descending order.\nAnswer: q, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32150 - 17918. Let n be i\/18 - 3\/(-9). Let t be n\/49 + 2\/(-14). Calculate the greatest common divisor of 16 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/8*1\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1188 and 936.\nAnswer: 30888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637*i + 5026340*i**3 + 637*i - 5026336*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -10*a**2 + 3*a + 13. Let x(i) = i**3 + 10*i**2 - 3*i - 13. Let d = 23 + -20. Let v(n) = d*x(n) + 4*j(n). Is v(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 248, -35, 121, 3, 6 in increasing order.\nAnswer: -35, 3, 6, 121, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d - 57. Determine s(-24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14902959, -14902951, -14902941, -14902929, -14902915, -14902899, -14902881?\nAnswer: -14902861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -800 - 838 = -14*i. Put i, 1, -5 in decreasing order.\nAnswer: i, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -2*z**3\/3 + 11*z**2\/2 - 7*z + 96. Let n be u(4). Sort n, -0.3, -1\/12, 0 in decreasing order.\nAnswer: n, 0, -1\/12, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zhhz when four letters picked without replacement from zhzzhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10711, -21422, -32133, -42844?\nAnswer: -53555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 647 + 2325 = 0. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-5 - -10) + -2 - (46 - 10 - -2)\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1483 from 70.\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*m + 371, -3*m - p - 2*p + 231 = 0. Let n(r) = -10*r**2 - 2*r. Let h be n(-2). Let f = h + m. Is f a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 684411, 684392, 684367, 684336, 684299, 684256, 684207?\n\"Answer: -3*m**2 - 10*m + 684424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppozoal. What is prob of picking 1 p and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 8629753829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - (7 + -10)) + 76 + -156\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 1 + 60*r**2 - 9 - 61*r**2 - 8*r + 2*r. Let a be z(-4). Solve g = -a*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 31990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 2:20 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**3 - 2*z**3 + z**3)*(0*z - 4*z + z) - 5386*z**3 + 5386*z**3 + 79*z**4.\nAnswer: 73*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n - 2. Suppose 24*h = 23 + 49. Let y(r) = 250501 + h*r - 250501 - 7*r. Calculate m(y(p)).\nAnswer: -24*p - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 5*f, c - 3*f = -4*c - 19. Sort -2, c, 5.\nAnswer: c, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34b5a2 (base 16) to base 5.\nAnswer: -1341014440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 361155673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 136\/17 - (22\/5 - 0)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27\/190408 or 1?\nAnswer: -27\/190408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/((-21660)\/(-1064))*(-1)\/((-35)\/200)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - ((-1 - -2) + -2). Suppose g*z = -z - 68. Is 6 a factor of (z\/(-8))\/((-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 5, c: 2, l: 2, r: 7, a: 4}. Give prob of picking 1 r, 1 c, and 1 a.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -2. Let m(v) = -v**2 - 8*v. Let t be m(k). Suppose 4*d + j = 42, -5*d + 3*j + t + 45 = 0. What is the lowest common multiple of d and 3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 370 = j + 3*f, j + 4*f = 6*f + 350. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -3*m + 17. Sort 3, m, 7 in descending order.\nAnswer: 7, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -10*q - 7. Let m be a(-6). Let y = -31 + m. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 4:42 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -412*n + 207*n + 205*n + 9975*n**2 - 9984*n**2.\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-71*k + 28*k - 190*k)*(k - 1 + 1)*(-6 - 2 - 3) to the form z + f*k**2 + n*k and give f.\nAnswer: 2563","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2*u = 8 + 16, -2*g + 28 = -3*u. What is the remainder when 21 is divided by g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2, -1, 6, 19?\n\"Answer: 3*o**2 - 8*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/34)\/((-2760)\/(-70380))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1008) + ((sqrt(1008) - sqrt(1008)*1 - sqrt(1008))*4)**2).\nAnswer: -16128 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 19*u**2 + 40*u + 16. Let l be k(-21). Suppose 0 = -37*g + l*g - 4788. Calculate the highest common divisor of 24 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -897*v + 130. Let c(y) = 1789*y - 261. Let z(o) = -5*a(o) - 3*c(o). Find the first derivative of z(h) wrt h.\nAnswer: -882","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 1, 48506, -3 in descending order.\nAnswer: 48506, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/8400 and -64\/725025.\nAnswer: 11600400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*p - 48 = -81*p - 86*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -368, -725, -1094, -1481, -1892?\n\"Answer: -r**3 - 350*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 207 - 190a?\nAnswer: -1703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 6:57 PM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*(-5*sqrt(77) + sqrt(77) - sqrt(77)))\/((sqrt(11) - -2*sqrt(11))*-1).\nAnswer: -10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 196003136?\nAnswer: 2, 7, 62501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the third derivative of 2*v**7\/105 + 31*v**6\/120 - 164*v**3 - 948*v**2. Find the first derivative of j(l) wrt l.\nAnswer: 16*l**3 + 93*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, q: 2, e: 3, j: 2, x: 8}. What is prob of picking 3 e and 1 j?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 101541?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 451 or 104883\/233?\nAnswer: 451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d + 3. Let m be a(2). Let x = m - -7. Find the third derivative of 2*w**x - w**4 + w**4 - 2*w**2 wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*p**5 + 3428227*p**4 - 579*p**2 - 15563*p?\nAnswer: -660*p**2 + 82277448*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 2*k + 30. What is the remainder when 36 is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88976 is divided by 2870?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -3, 2 in ascending order.\nAnswer: -3, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 + 94*l**2 + 183*l - 80. Let a be h(-92). Solve 28*c - a = 25*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2213311320 (base 4) to base 2\nAnswer: 10100111110101111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 129\/16 - 13\/208.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (52 - 55) + -2 + 1 + -1 + 17\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 75*z**2 + 86*z - 34. Let x(k) = -188*k**2 - 223*k + 85. Calculate 13*g(m) + 5*x(m).\nAnswer: 35*m**2 + 3*m - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4545674191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000124502 to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*a = 27*a - 655. Let w = 134 - a. Solve 5*k - 3*d - 12 = -d, w*k = 2*d + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 0*n + n**3 - 19 + 9\/10*n**2. Factor l(q).\nAnswer: 3*q*(5*q + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 - -159. Let z = 87 - k. Is z a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 14. Let q be z\/3*(-12)\/(-4). Suppose 0 = v + v. Sort v, 3, q in descending order.\nAnswer: q, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l - 220 = 18*l. Let z = -76 - l. Let m = z + -31. Solve -m*r + 9 + 0 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1 and 81?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -107*434.9\nAnswer: -46534.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2015758 is divided by 124.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55976761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 403*c = 25077 - 11375 for c.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**5*c*c*(c*c**7*c)\/c assuming c is positive.\nAnswer: c**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 4:00 PM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uiu when three letters picked without replacement from uccciuciuccui?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*p**2 + 3)*(0*p + 0*p + p) + (-2 + 4 - 3)*(4*p**3 + 0*p**3 - p**3).\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 294 and 2205?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 11*c + 25. Calculate t(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k**3 + k**3 - 6*k**3)*(-14*k + 20*k - 14*k).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(136) - sqrt(136)*4)*-3)\/(sqrt(64)\/(sqrt(2) + sqrt(98))).\nAnswer: -216*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - j**5 - 2*j**5 + 10*j**5 - 9*j**5 + 10*j**5 + (-1 + 1 - 2*j**3)*(-2*j**2 + 0*j**2 + 4*j**2) + 2*j**5 - 2*j**5 - j**5.\nAnswer: 4*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -2*g + 14, -25 = -4*g - 127*j + 130*j for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6220 (base 8) to base 3.\nAnswer: 11102010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/66 + 589\/627?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - (sqrt(320) - (sqrt(320) + (sqrt(320) + 2 + sqrt(320))*5)))**2.\nAnswer: 1760*sqrt(5) + 38820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/56 - (-217)\/(-196)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -2\/7 (c) 2\/15 (d) -2 (e) 5\/162\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -2 + (sqrt(1331) - (sqrt(1331) - (sqrt(1331)*3 + -3 - sqrt(1331)))**2)*-2*-3)*2.\nAnswer: -16094 + 924*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*v**4)*(-23512*v - 2 + 2 + 23995*v).\nAnswer: -966*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136294684 is divided by 89.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/20)\/((27\/(-30))\/(-3)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, 14, -2\/17?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1110\/(-30) + 596\/8)*12\/5.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 419*c**3 - 649 wrt c.\nAnswer: 1257*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 97.7887 from 2.69.\nAnswer: -95.0987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 22*m = 19*m - 2502, 660 = i + 5*m. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 7 = -4*l, 2*l + 0*l = 4*j - 8. Suppose 5*q + 2*z + 8 = -0*q, 2*z = -3*q - 8. Sort 6, q, -4, j in ascending order.\nAnswer: -4, q, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (6 - (4 + 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -224238 + 224238 - 3*k. Let s(d) = d**2 + 466*d. Give m(s(b)).\nAnswer: -3*b**2 - 1398*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -66*g + 1284*g**3 + 2*g - 164*g**4 + g**2 + 180*g**4 - 1285*g**3 as o*g**2 + y*g + s*g**3 + r + p*g**4 and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(4\/9)*h*h**(-9)*h*h assuming h is positive.\nAnswer: h**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 457065559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 42*z**2 + 56*z - 56. Let d be 53\/(-1) + 39\/(-13). Let r(x) = x**2 + x - 1. Let t(h) = d*r(h) + b(h). Let k(l) = l**2. Calculate k(t(c)).\nAnswer: 196*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a millennium in decades?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/2 (b) -181 (c) -0.2 (d) 0.3 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -854*j**3*n**2*t**2 - 2*j**3*n**2*t + 5482*j**3*n*t**3 - 2*j**3 + 33*j*n**2*t**3 - 3*j*n*t**2 - n**2*t wrt t.\nAnswer: 32892*j**3*n + 198*j*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s + 14 + 365*s**3 - 366*s**3 - s**4 - 6*s to y*s**2 + d*s**3 + w*s + j + t*s**4 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -48*v**3 - 32*v**2 - 6*v - 3. Let q(f) = f**2 + 2*f + 1. Let s(k) = d(k) + 3*q(k). What is the third derivative of s(m) wrt m?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 - -2122122?\nAnswer: 2122220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12240413.\nAnswer: 12240413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*l + 1 + 11 = 0, 3*a + 5*l + 1 = 0. What is the highest common factor of 12 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338*t - 1193 = 77*t + 112. Solve -3*d = 4*j + 1, -t*d + 4 = j + 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, -81691, -3.\nAnswer: -81691, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8e2 + -2?\nAnswer: -8e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fr when two letters picked without replacement from {f: 1, w: 1, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18713654*z = -18714023*z + 27306 for z.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(153) - (-4 + (sqrt(153) + -1 - sqrt(153)))) + -2)**2.\nAnswer: 18*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 168506, 337027, 505540, 674039, 842518, 1010971?\n\"Answer: -m**3 + 2*m**2 + 168522*m - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -9. Let c be 1\/(x*4\/52). Let h = 43 - c. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49567*l**5 + 531*l**4 - l**2 - 2*l + 403657 wrt l.\nAnswer: -2974020*l**2 + 12744*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4369 - 0.4369. What is the closest to l in 0, 2, 0.61?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6114432 years in months?\nAnswer: 7.3373184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11069.946 and -10.\nAnswer: -110699.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 401737171 to the nearest integer?\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 218824165 and -1.\nAnswer: -218824165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 - 65. Suppose 5*j - 6 = -q, -3*q + 3 - 13 = j. Let v(i) = -j*i + 5 - 9 - i + 3. Determine v(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -773501\/16 or -48345?\nAnswer: -773501\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 2 + 2*-306. Round l to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 12513050 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 983 = -3*i, -i + 81 + 248 = -3*b. Let z = 8804\/27 - i. Which is greater: 0.18 or z?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 174.41 + -174.31. Is -927.7 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -440*d - 4769. Give u(-12).\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(300) + sqrt(300) + sqrt(300)*2 + sqrt(300) - (sqrt(300) - (sqrt(300) - ((sqrt(300) + 2 + 1 - sqrt(300)) + sqrt(300)))))**2.\nAnswer: -80*sqrt(3) + 4801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/28 or 45\/219889?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3266 = 17*i + 971. What is the remainder when i is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 10 = 15*p. Suppose -2*c = 3*k, 0 = -k + 5*c - 0*c. Solve p*s = -k*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 6*n**2 + n**2 - 5*n + n**3 + 13 + 2*n**2. Is l(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39313529*f**5*k + f**5 - f**2*k - 6*f**2 - 2*f*k + 3*f + 1990*k - 19 wrt f.\nAnswer: -2358811740*f**2*k + 60*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2 + 3*q + 2 + 1. Let m be d(-1). Let r(n) = -2*n. Calculate r(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -96\/281 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 e when two letters picked without replacement from vvvekevkevoev?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 1\/7 (b) -5 (c) 39\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10034*q**4 + 2*q**3 + 975*q**2 + 6*q - 3.\nAnswer: 240816*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 68.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 139 - 1?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 88*t**3 - 11*t**2 + 2*t - 4. What is y(2)?\nAnswer: 660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20345*h**2 + 5541*h.\nAnswer: -40690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -54, -213, -478, -849?\n\"Answer: -53*d**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 3*s + 36, -37*b + 4*s = -33*b - 64. Solve 6*h - b*h = -24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 569.5616ng in milligrams?\nAnswer: 0.0005695616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1270.7 - 1271. Suppose 4*t - 26 = 10. What is the third biggest value in 1, o, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-4)\/(-10))\/(20\/50)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 535 = 7*r. Suppose 1943 = 3*i - r. List the prime factors of i.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (5 - (5 + -2 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (594\/(-324) + 3\/2)\/(5\/(-32520)) is divided by 444.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = a - 7*a. Let n(b) = a*b**2 + 3*b**2 - 3 + 3. Let z(y) = 5*y**2. Determine 4*n(o) - 3*z(o).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133210320323313 + -3?\nAnswer: -133210320323322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 2*y - 5699 = 0, -462 - 682 = -b - y. Let t = b + -428. Is t a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 - 2988610*v - 337776775.\nAnswer: 5*(v - 597835)*(v + 113)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2673)*-1 + sqrt(396)\/(sqrt(24)\/sqrt(2)) + sqrt(33))\/((sqrt(3) + sqrt(18)\/sqrt(6))*2 - (sqrt(3) + 2*sqrt(363))).\nAnswer: 7*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 7*j**2 - j + 3. Suppose -4*p = -3*p - 6. Let d be z(p). Suppose 0 = 2*i - d - 3. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253374988.\nAnswer: 2, 4243, 14929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 873 and 2?\nAnswer: 1746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 4\/13 (c) -97554\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-nine halves of a milligram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -54528 and -5.\nAnswer: -54533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -59*x**3 - 225*x**2\/2 + 258. What is the second derivative of n(a) wrt a?\nAnswer: -354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.04945249 + 0.03963.\nAnswer: -2.00982249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -2*4\/6)\/(706\/(-1059)). Put 1, -57, -4, m in increasing order.\nAnswer: -57, -4, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 780?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5327017 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27141 + -17973. List the prime factors of r.\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 14*h**2 + 35*h - 96. Let z be n(-7). Let b(a) be the first derivative of 6*a + 5\/2*a**3 - 6*a**z - 16 - 3\/8*a**4. Factor b(s).\nAnswer: -3*(s - 2)**2*(s - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14079302 is divided by 2346550?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - -1) + 1*8. Suppose 18 = -y - 2*y. Let d be (y - -3) + (1 - 2). Which is the second smallest value? (a) d (b) 0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0288696 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1609, 1615, 1609, 1585, 1537, 1459, 1345, 1189?\n\"Answer: -t**3 + 13*t + 1597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1172 + 1176. Which is the closest to 1? (a) -4\/7 (b) x (c) -4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**6\/150 + 29*i**5\/150 - 3*i**4\/2 + 321*i**2. Find n, given that b(n) = 0.\nAnswer: 0, 9\/2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 7, h: 2}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 189753?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54 - -69. Suppose 2*i - 7*g = -2*g + 185, -5*g - p = 0. Suppose -i - 150 = -5*x. What are the prime factors of x?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3086*d - 220 + 1041*d + 263*d + 160*d - 822 wrt d?\nAnswer: 4550","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*h**2 - 180*h**2 + 96*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 908100 rounded to the nearest 10000?\nAnswer: 910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 150 (base 9) in base 12?\nAnswer: a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -10*x**3 - 9*x**2 - 12*x - 12. Suppose 2*s = -4*o + 4, -2*s = -6*o + 2*o + 36. Let c be y(s). Suppose 8*n = 4*n + c. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 600 and 126885.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (476\/(-1309))\/(116\/(-22))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1190369.88 minutes to weeks.\nAnswer: 118.09225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1077, -1\/7, -70, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 497.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 t when three letters picked without replacement from patbkattbttbbtbaattb.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11 - 3*f**2 - 7 - 153*f**4 - 18 + 3*f**2 with respect to f.\nAnswer: -612*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -449.3 - -450. Put 3, -0.1, u, -0.3 in decreasing order.\nAnswer: 3, u, -0.1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238?\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1251 (b) -5 (c) 185 (d) -105\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-18)\/(-24)*12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8774.207 and 430.\nAnswer: -8344.207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -4\/3, -2\/9, 211260?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 z when two letters picked without replacement from {m: 8, p: 2, v: 5, z: 3, f: 1}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 205, 211, 217?\n\"Answer: 6*t + 199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1485376.\nAnswer: 2, 23209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-21)\/56*(-4)\/10.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1699790?\nAnswer: 2, 5, 43, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01723 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3037333729 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-702)\/(-15) + 0)\/(20\/50). Which is smaller: 115 or a?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87760000 to the nearest one million.\nAnswer: -88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 f, and 1 w when four letters picked without replacement from nfvznwvlnvvlnl.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 + 4605.\nAnswer: 4700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = 2*u - 115. Suppose 0*w - u = -4*w. Suppose -4*x - 1 = -3*x, -3*x + w = 3*s. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*g**3 - 28*g**3 - 16*g - g + 2 - 9*g to j*g**3 + v*g + h*g**2 + p and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 23 - 11)*(n - 2*n + 4*n)*(4*n - 4*n + 2*n).\nAnswer: 30*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 2*b - 4*o - 17, -2*b + 68 = o. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -2*g**2 + g + 3. Let a(d) = -d**2 - 33*d + 331. Let x be a(-41). Calculate w(x).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 to the power of 1\/2, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vwvr when four letters picked without replacement from wwwrwvrwwvw.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2012 and 4.\nAnswer: -8048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 1)*(0 + 1). Let i be (-16)\/6*6\/28. Which is the second smallest value? (a) w (b) -0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147948635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1955\/25 - 3\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 4:59 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnznnnznzz. What is prob of picking 2 n?\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 + 34. Let x(s) be the second derivative of 1\/6*s**3 + 1\/40*s**5 - 1\/8*s**4 - s + 0 + v*s**2. Factor x(o).\nAnswer: o*(o - 2)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/85032 and -37\/198408.\nAnswer: 595224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15118 * 0.1\nAnswer: 1511.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4))\/((828\/(-240))\/(-23))*(-24)\/(-50)?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 6*c**2 - 2*c + 2. Let a be y(5). Let z = -30 + 24. Let q = a + z. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23720 = 5*l + 5820. What are the prime factors of l?\nAnswer: 2, 5, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -1 (b) 4 (c) 0 (d) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60031 - 54351 = 20*g. Calculate the remainder when g is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 6*p + 56. Suppose -o = -4*k + 20, -4*o + p*o - 15 = -3*k. Solve -2*j + g = 2, 3*j + k*g + 19 = -10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 33. Let y = -586 - -596.02. Let g = y - w. What is the biggest value in -1\/2, g, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85997753 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2708600 or 8.3?\nAnswer: 8.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.31139327 times -0.4\nAnswer: -0.124557308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -165*0.060767.\nAnswer: -10.026555","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 201 + 11112?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**3 - 30*b**2 = 0. Calculate b.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = o - 5. What is the first derivative of -3*h**4 + 4 - o + 3 wrt h?\nAnswer: -12*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, -204, -875, -2256, -4593?\nAnswer: -8132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6885049670 and 10042.\nAnswer: 6885059712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -16, -23, -30?\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -27*b + 2 - 17 - 27*b + 3*b**2 + 2. Does 24 divide l(21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**3 + 3*y**2 + 4*y + 2. Let x be q(-4). Let b be (-2)\/5 - x\/10. What are the prime factors of 2 + (-3)\/b*-3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uueruytuynutteeuy. Give prob of sequence ee.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/17, -2, -5\/4, 4, -7719?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**3 + 6*r**2 - 1. Let d(y) be the third derivative of y**6\/120 + y**5\/60 + 6*y**2. Let m = -3591 + 3585. Determine m*d(p) + w(p).\nAnswer: -2*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7109 + 15532. List the prime factors of i.\nAnswer: 8423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 461283318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/14*43\/(-86)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22914 (base 12) to base 14.\nAnswer: 12bcc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 2:16 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 27 - 3. Let g(k) = -2*k. Let q be g(-4). Suppose 0 = -q*l + 7*l. Solve -5*i - p = -3*i - 4*h, l = h - 3 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -2 - 0 - 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 7*f - 30. Let g be f\/(-12) + (-3)\/2. What is the tens digit of 108\/63*(-63)\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3 = 3*y. Suppose 13 = y*j + 4. Solve 0 = j*s + 12 - 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 0.065, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l*s*w - 510*l*s + 12*s*w - 3*w**2 - 34*w - 96 with respect to w.\nAnswer: -l*s + 12*s - 6*w - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30293209 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Suppose s = -1 + c. Differentiate s + 4*z - 3*z + 0*z - 3*z wrt z.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 PM and 2:09 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-2))\/((-31)\/(28644\/(-55))).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-205 + 98 + 80)*(-4*q + 3*q + 0*q)*(-12 + 18 + 37)*(3 - 1 + 0) to the form a + x*q and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 34*r - 43. Let w(b) be the first derivative of -103*b**2\/2 + 128*b - 43. Let u(y) = 11*n(y) + 4*w(y). What is the derivative of u(t) wrt t?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -16\/33*i**3 + 185 + 0*i + 7\/11*i**2 + 1\/22*i**4. Factor b(a).\nAnswer: 2*a*(a - 7)*(a - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 3\/7*i**7 + 0*i**4 + 0*i**5 + 0*i**6 + 0*i**2 + 7 + 0*i + 23\/3*i**3. Find the third derivative of d(o) wrt o.\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b*m**3*s - 2*b*m**2 + 22*b*m + b*s + 2112*b - 3874*m**3 - 3*m*s wrt m.\nAnswer: 36*b*m*s - 4*b - 23244*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*o - 29*o + 168 = -354 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(2*(-100 - 3)))\/(5\/2)?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55713567.\nAnswer: 3, 7, 13, 19, 23, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 6:56 PM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 49? (a) -3.42 (b) 0.21 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24 or 5543146?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -2\/43429379 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 78*d - 16*d**3 - 2*d**4 - 59*d**3 + 2*d**2 - 78*d in the form r*d + l + y*d**4 + z*d**3 + q*d**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 19017, 18988, 18947, 18900, 18853, 18812?\n\"Answer: h**3 - 12*h**2 + 19028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/10 and 17\/3619.\nAnswer: 36190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15259492, 61037942, 137335358, 244151740?\n\"Answer: 15259483*x**2 + x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6245 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 39 = 3*r - 99, -2*m + 126*m = r - r for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 15.557 + -16320\nAnswer: -16304.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. Suppose l + 2*t + p = 0, 6*l - 4*l - t = 7. Solve -l*d - 3 = 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11954.07963 to the nearest ten.\nAnswer: 11950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -12929.\nAnswer: 38787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a + a + 2*a)*(-3*a**3 + 3*a**3 - 3*a**3) - a**4 - 3*a**4 + 3*a**4)*(37 - 81 + 2*a + 66) - a**5 + 0*a**5 - 4*a**5.\nAnswer: -19*a**5 - 154*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * -2.06845.\nAnswer: -0.620535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 45 = -6*r + 3*s - 3*s, 5*s + 10 = -2*r - 5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 4 - (-1)\/6. What is the nearest to 1 in 1\/2, j, 2\/11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 756\/(-315)*(22\/(-132))\/((-2)\/(-135))\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -439 - -443. Suppose k = -o + 147 - 11, -528 = -4*o + q*k. List the prime factors of o.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/3 + 76*y**3\/3 + 97*y**2 + 72*y.\nAnswer: y*(y + 1)*(y + 3)*(y + 72)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7281000 rounded to the nearest one hundred thousand?\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 310023370 rounded to the nearest 1000000?\nAnswer: 310000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0051804 to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126345 is divided by 3609?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (5 - 2) - (-6 + (4 - -4))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 1:54 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118 - -91. Which is the third biggest value? (a) -2 (b) 1\/4 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10381, -10383, -10385?\nAnswer: -10387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 289 or -0.267?\nAnswer: 289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**4 + 12*k**3 + 24*k**2 - 32*k.\nAnswer: -4*k*(k - 4)*(k - 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/630*6 - (36 - 913365\/25200)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by -76.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2322700*b**4 + 43*b**2 + 64*b - 60 wrt b?\nAnswer: 55744800*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746 = -d + z - 762, -482 = -4*d - 20*z - 162 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16997510183 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - o + 16 = 0, -2*o = 3*q - 4*q - 5. Suppose 0 = -q*c - 5*i + 13, 0 = 5*c + 4*i - 0*i - 39. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -73.47 and 23?\nAnswer: 96.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 10 = -5*b + 7, -o - 4*b = -7. Sort o, -1, 1, 4 in ascending order.\nAnswer: -1, 1, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z + 1. Let f be t(-1). Let i be 2\/(-10) + 11\/f. Solve 3*p = -i*p - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 19*m**2 + 173*m. Let u(t) = 66*t**2 + 521*t + 1. Determine 7*h(p) - 2*u(p).\nAnswer: p**2 + 169*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**4 - 1. Let b(p) = 7*p**4 - 14*p + 2. Let t(x) = b(x) + 2*i(x). Find the second derivative of t(k) wrt k.\nAnswer: 108*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 249, 651, 653, -291, -2727, -7201?\nAnswer: -14259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-1 - -1 - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 173463*i*y**2 - 2*y**2 + 35146*y with respect to i.\nAnswer: 173463*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 32 - m**3 + 19 + 0*m**2 + 3*m - 2*m**2 to the form w*m**3 + x*m + b + f*m**2 and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from xdddxdxdxfxxdxxxde?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/((-2)\/8). Let c be (1\/(-2))\/(m\/44). Let o be 2 + 1 - 354\/(-3). What is the greatest common divisor of c and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**4 - 94*v**3 - 724*v**2 - 1704*v - 1296 = 0.\nAnswer: -3, -2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-1))**20\/(z*z**1*z*z**(1\/4)*z))\/((z*z*z\/(z**(2\/7)*z))**(-6))**(-32) assuming z is positive.\nAnswer: z**(-8215\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0609 and 0.2.\nAnswer: -0.01218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 669*d + 27777. What is w(-43)?\nAnswer: -990","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b**2. Let z(w) = -355*w. Calculate u(z(p)).\nAnswer: -504100*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 122715108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.01 and 0.1735.\nAnswer: 0.1635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 + 72419884.\nAnswer: 72419884.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 113, 4, -32, 105, 3 in ascending order.\nAnswer: -32, 3, 4, 105, 113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47*c**2 + 49*c**2 + 71*c**2 + (-2*c - 2*c + 2*c)*(2*c - 4*c + c))*(3*c + 4*c + 2*c) + 1 - c**3 - 1 as t + o*c + y*c**2 + m*c**3 and give m.\nAnswer: 674","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 51018.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 23110 (base 7) to base 9\nAnswer: 8061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5294, -19585, -42874, -75161?\nAnswer: -116446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2435 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 148, 102, 64, 34, 12?\n\"Answer: 4*c**2 - 58*c + 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 8 = 2*i. Suppose 3 = l - i. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.101455 plus -0.096?\nAnswer: 0.005455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + -15.9. Let x = -2.4 - i. Which is the third biggest value? (a) x (b) -3\/2 (c) 2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 481*c**4 + 436 wrt c.\nAnswer: 1924*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10577?\nAnswer: 7, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 235 and -0.6?\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.024089 to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -20. Let z = -9 - a. What is the greatest common divisor of z and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 381018695.\nAnswer: 5, 563, 135353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*x + 3. Suppose 4*n - 3*q - 31 = 0, -5*q = 21 + 4. Let i = n + x. Solve 2*c + 2*s = -2, i*c - 45 = 3*s + 2*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.062 + 0.03\nAnswer: 0.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 7*x**3\/6 + 2277*x. Let y(q) = 2*q**2 - 94*q. What is g(y(n))?\nAnswer: 14*n**2 - 658*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -16. Sort 2, 1, o.\nAnswer: o, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14400 by -2880.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5 - 3660444*z**4 + 3349716229725*z**3 - 6699417817682*z**2 = 0. Calculate z.\nAnswer: 0, 2, 1830221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 427, 869, 1387, 2017, 2795?\n\"Answer: 6*z**3 + 2*z**2 + 394*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 28 = -4*d - 38, 0 = -d + s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**3\/17 - 232*c**2\/17 - 896*c\/17.\nAnswer: -2*c*(c + 4)*(c + 112)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57481993 - 57481966.9999656. Let w = -437 - -411. Let r = c + w. Round r to 6 decimal places.\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -285 (b) -62 (c) 1 (d) -0.2 (e) 1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 1. Let w(t) = -10*t + 10. Let o(z) = 65*p(z) - 6*w(z). Is 10 a factor of o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*u - 2, 0 = 4*u - 2*u + 4. Suppose d - l*a = -4*d - 1, 5 = -5*d + 5*a. Solve 0 = 5*h - 2*b + 20, 4*b - 12 = d*h - 0*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-5 + sqrt(275)))**2 - (sqrt(176) + 1 + -4)**2.\nAnswer: -426*sqrt(11) + 2515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -27*u - 4. Let f be 0\/(2*1\/(-2)). Suppose 4*l = -3*d, f = 5*l - 0*d - d + 19. Is r(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 - 8*t + 4. Let r be f(7). Let n be r\/(-4)*1*-2. Let v be (-1 + 561\/9)*3. What is the highest common factor of v and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14555 + -15?\nAnswer: -14572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3943996 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**3\/6 - t. Let a(h) = 2*h**2 - 3*h**2 + 5*h**2. What is a(i(g))?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152423508 + -91423508. Round c to the nearest one million.\nAnswer: 61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322*k = -301*k + 84. Put 528, k, 2 in ascending order.\nAnswer: k, 2, 528","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -346565158 + 173282585 + 173282573 + 5*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 40 = -5*c, 4 = 5*j + c - 42. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + (13 - (23 - (10 + -22)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1996, -16007, -54064, -128197, -250436, -432811?\n\"Answer: -2005*t**3 + 7*t**2 + 3*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 + 184 + 329 = -33*w - 96 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 28*j**5\/5 - 61*j**3\/2 - 232*j**2. What is the first derivative of k(s) wrt s?\nAnswer: 672*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 137. Let z(p) be the second derivative of -p**4\/6 - 95*p. What is z(u(m))?\nAnswer: -2*m**2 - 548*m - 37538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 2*(sqrt(117) - -2*sqrt(117) - sqrt(117) - sqrt(117)))\/(sqrt(9)*2*5).\nAnswer: 3*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zez when three letters picked without replacement from {i: 4, g: 4, z: 3, e: 2, c: 3, d: 1}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.3 - -4. Suppose 4*y + z = 14, -2*y - 16 = z - 20. Which is the biggest value? (a) y (b) -4\/5 (c) o (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0368 - -0.0155. Round o to 3 dps.\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -10*o**3 - o**2 - 2*o - 1. Let u be x(-1). Solve l - u = 6*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -23, -46, -77, -116?\nAnswer: -163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 30. Suppose d*v = 9*v + 170. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*l - 122 - 1478 = 0 for l.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 32*l**2 + 3772*l - 302. Give x(-118).\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1276868141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*d**3 - 88*d**3 + 63*d**3 + 2*d**2)*(-3*d**2 + 16 - 16).\nAnswer: -57*d**5 - 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/9 - 220*l**4\/9 + 48*l**3 + 2524*l**2 - 7326*l = 0. What is l?\nAnswer: -111, -11, 0, 3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -5*h**3\/6 - h**2\/2 + h. Suppose 0 = 6*v - 8*v - 20. Is j(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 37*z**2 + 41*z - 98. Let p be w(38). Solve -3*j = p - 19 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ia when two letters picked without replacement from aaaaammpmmmmmmia.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 + 77*k**2 + 175*k + 1892. Determine b(-75).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 13 + v - 6*v + 6*v. Suppose 3*l - l = p + 13, -2*l = 3*p + 15. Give t(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in 14*o**5\/5 + 55892*o**4\/5 - 10747834*o**3\/5 + 480866408*o**2\/5 + 449966056*o + 120660640 = 0?\nAnswer: -4178, -4, -2\/7, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1369, -0.4, 23?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*g**3 - 141*g**3 + 73*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3221004401 (base 5) to base 8.\nAnswer: 31772655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3, -3, -9, -21, -39, -63?\n\"Answer: -3*a**2 + 9*a - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 + 3 + -1 + -2. Suppose 0 = -4*j + p*j + 24. What is the greatest common factor of j and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185816166 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 17792 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 35 = 5*b, -22904*b + 22903*b - 7 = 2*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 - 3*r**2 + 6*r - 1. Suppose -3*d + 28 + 89 = -42. Calculate the remainder when d is divided by f(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3\/3 - 3152*m**2 + 28361*m\/3 - 6302 = 0. Calculate m.\nAnswer: 1, 2, 9453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3351538?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1240 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**3 + 29*v**2 + 175*v - 74. Calculate the lowest common multiple of n(34) and 1008.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4761 + -1428.\nAnswer: -6189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**3 - 598*b**2 - 9022*b + 9622 = 0.\nAnswer: -283, -17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b - 12*b - 8*b)*(-b + 0*b + 2*b + 2*b - 5 + 5 + (1 + 2 - 7)*(-6*b + 2*b + 2*b)) to d + y*b**2 + f*b and give y.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jccacecedkjj. What is prob of picking 1 d, 1 e, and 1 c?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7614 - 3186 = -20*n. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.237, 15, 249?\nAnswer: -0.237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46659.2 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 36*q + 119. What is w(-15)?\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 11085.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1211*l + 42743 = -274*l - 393*l - 51157 for l.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1173?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 + 3*x**2 + 71*x - 13. Calculate g(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 2*u + 72 = 0, -11*n + 5*u = -8*n + 68. Let d(k) = -2*k**2 - 32*k + 5. Let s be d(n). Solve 2*q = -3*v - 0*v + 5, -3 = -s*v + 2*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/i**1)**(7\/10)\/(i**(-1\/17)*i*i**1*i) assuming i is positive.\nAnswer: i**(-381\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214158?\nAnswer: 2, 3, 7, 5099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1867736 and 87\/15372904.\nAnswer: 199847752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1212001122 (base 3) to base 12\nAnswer: 19152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 528682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5054.8867 rounded to 0 dps?\nAnswer: -5055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 424197167?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-3)*(-60)\/70*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -435*x + 3 + 39*x + 50*x.\nAnswer: -346*x + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 95, 80, 51, 2, -73, -180, -325, -514?\n\"Answer: -j**3 - j**2 - 5*j + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 2201020221?\nAnswer: 2201021001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) - (-11740)\/(-15). Does 27 divide ((-2)\/3)\/(6\/h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 2:50 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138559854.\nAnswer: 2, 3, 29, 47, 16943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 1\/4, 116, -7\/484?\nAnswer: -7\/484","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14950.307 + -14961. What is h rounded to one dp?\nAnswer: -10.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 18*u - 18. Let i(j) = -j**3 - j + 1. Calculate the remainder when i(-5) is divided by c(-20).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**4\/6 + 7*p. Let r(l) = 82 - 167 + 85 - 58*l**2 + 6*l**2. Give r(v(i)).\nAnswer: -208*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 7*a**3 - 27*a**2 - 909*a + 21137. Let z(t) = -5*t**3 + 17*t**2 + 606*t - 14093. Let i(v) = 5*n(v) + 8*z(v). Differentiate i(q) with respect to q.\nAnswer: -15*q**2 + 2*q + 303","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -5*f + 158 - 178, 5*g = -8*f - 45 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 31399 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((3 + (sqrt(245) - 6*(sqrt(245) + -1)) - (sqrt(245) + 1 + -4*sqrt(245) + 0)) + 5)**2.\nAnswer: -364*sqrt(5) + 1146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.881 + 0.281. What is the second smallest value in -5, a, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1 + (-528)\/(-527)). Let i = -317 - x. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 24*s + 12. Determine j(3).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -14*d + 27. Let a(w) = -w - 1. Let c(p) be the first derivative of 2*p**3\/3 + p**2 + 2*p + 65. What is d*a(j) + c(j)?\nAnswer: 2*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = k + 2059090, 313847 = -4*z - 3*k + 1961100. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 7*b + 16 = 4*b, 4*b + 8 = v. Solve -3*i = -7*i + v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57518635 + 57518722.000122. Let u = -87 + q. Round u to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*b - 3*b + b)*(4*b - 8*b + b)*(0*b + 3*b + 4*b) to u*b**2 + i*b**3 + y*b + g and give i.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -5 + 1 + (13 - 8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 d when three letters picked without replacement from {d: 3, c: 5, a: 4}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970105.\nAnswer: 5, 17, 101, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 + -1c?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.1 times -9?\nAnswer: 108.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 + 101370*u - 202752.\nAnswer: 3*(u - 2)*(u + 33792)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 346 - 100*u - 175 - 173 to the form n*u + g and give n.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 2\/3*t**3 + 1\/2*t**2 + 0*t + 1\/4*t**4 - 1. Factor v(u).\nAnswer: u*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143.073493867 plus 4?\nAnswer: -139.073493867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 441.1754 - 441. Let q = -12.83 + 13. Let d = c - q. What is d rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w + 2*w)*(-w - w - 2*w) + 5*w**2 - 4*w**2 + 3*w**2 + w + 2*w**2 - w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 14322 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5174*y = -5*l + 5171*y + 29, -203 = -41*l - 13*y for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n**1\/n)\/n*n)**(-14)\/((n*n**(-2\/9)\/n*n)\/(n\/n**(4\/7))))**34 assuming n is positive.\nAnswer: n**(-30736\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 458087 is divided by 114433.\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*b**4*g - 529*b**2 - 3635*b*g + b - 11*g wrt b?\nAnswer: 204*b**2*g - 1058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 2:33 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsj when three letters picked without replacement from {i: 2, o: 3, s: 9, j: 5}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -50. Solve 2*k + 16 = m*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(14\/(-10)) + 1. Suppose -2*l + 10 = 4. Let i(g) = -1 - 6 + l*g - g. Determine i(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z + 1 + 0 - 8. Let h be m(-6). Let d be (15 + 2)*(-4 - -11). Calculate the highest common divisor of h and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -23*q**2 + 11*q + 14. Let m be -2*(-1)\/5 + 415\/25. Let u(s) = -8*s**2 + 4*s + 5. What is m*u(k) - 6*l(k)?\nAnswer: 2*k**2 + 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -2, 0.04, 5, 69839?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 4:48 AM?\nAnswer: 7:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -10*w + 24. Let g be t(-4). What is the greatest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 830*z**2 - 861*z.\nAnswer: 1660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -8 - 2 - (-46 - -61)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {o: 3, q: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -787 and -292261 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 7, k: 2, c: 6, e: 3}. What is prob of picking 1 o and 2 f?\nAnswer: 7\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -393248 (base 10) to base 6.\nAnswer: -12232332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 523*l - 107. Let k(y) = -131*y + 26. Let j(n) = -9*k(n) - 2*o(n). What is the tens digit of j(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 962 - 899. What is the highest common factor of 18 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 460371.3m to millimeters.\nAnswer: 460371300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -232 + -98. Let s = 150 + w. Round s to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 + 3*z)*(12*z + 33 - 18*z + 8*z).\nAnswer: 6*z**2 + 99*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5083000 by 6500.\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does -35058 = -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 3*c**2 + 31*c + 34. Let s be y(-12). Suppose -s = -j + 8. What are the prime factors of j?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from huuuuuhuuuuuu. What is prob of picking 3 u?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let j(o) = -5*o**2 - 9*o + 767. Let d(z) = z**2 + 2*z - 192. Let u(c) = -9*d(c) - 2*j(c). Is u(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.35491 kilograms in grams?\nAnswer: 8354.91","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 5160100 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-2))\/((-3)\/4). Let g be (-7)\/(-5) + o\/(-5). Let a be (3 - -1) + g + 0. Solve -2*s + 3*s + a = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h = -65*h - 64 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249, -251, -245, -225, -185, -119?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2148857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h - 10. Let i be k(12). Let z be i\/6 + (-10)\/(-6). Suppose -z = 3*p - 14. Solve 2*m = p*g - 18, 5*g - 2*m - 20 = -0*m for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 66*d**2 + 7*d + 13. Let f(n) = -11*n**2 - n - 2. Give 39*f(k) + 6*h(k).\nAnswer: -33*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*n - 4*x, -n = -2*n + 4*x + 29. Suppose -n*m + 21 = -15. Suppose 18 = m*y - 142. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/95 or 1462\/9?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89148726 is divided by 55?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**2 + 82880*w + 1717273600 = 0. Calculate w.\nAnswer: -41440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 131214 or -2.054?\nAnswer: -2.054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1907 + -2)*(-254 - -42). What is u rounded to the nearest 10000?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 11:32 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -7*n + 30. Solve -2*r - 4 = -n*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + (-9 - (-54 - (7 - 13))). Let o be 4\/6*135\/10. Solve 0 = -0*t - o*t - j for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**4 + 68*d**3 - 595*d**2?\nAnswer: -24*d + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 235 and 5?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-6))\/(((-2)\/(-18))\/((-23)\/138))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2 + d - 2. What are the prime factors of n(-5)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785 is divided by 302?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 31.7 in 4, -6\/5, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**3 - 3*k**2 + 1084*k - 1083. What is y(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*u**3 - u**4 + 31*u**3 + (-10744*u - 10832*u + 22981*u)*(-7*u**3 + 3*u**3 + 3*u**3) to w + x*u + s*u**3 + o*u**4 + t*u**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/7, -5, -0.5, 0.2, -8.\nAnswer: -8, -5, -0.5, 0.2, 5\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*v**5 + 1692\/5*v**4 + 485934528\/5*v + 18786592\/5*v**2 + 267968\/5*v**3 - 504990784\/5.\nAnswer: 4*(v - 1)*(v + 106)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/11 - 30480*y**2\/11 + 60954*y\/11 - 30476\/11.\nAnswer: 2*(y - 15238)*(y - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 1179 = 1279. Calculate the remainder when 305 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 + 15*f + 36. Suppose 3*m - 78 = a - 27, 34 = 2*m + 3*a. Let v be p(m). Solve -v*c = 3*c + 15 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 985960.3us?\nAnswer: 985960300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0\/2)\/(-2*1). Suppose -2*g + 10 = 0, -5*z + 86 = 4*g + 26. Let a be (2\/(-4))\/(1\/(-6)). Solve a*m - z*m + 10 = v for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*b - 3*b + 24, b + 2*p - 12 = 0. Calculate the least common multiple of b and 50.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 53 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 13*m**3 - 120*m**2 + 4*m - 50. Determine o(9).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12672307 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**2 + 8*w + 0*w - 8*w + 5*w**2. Let g(h) = h**2. Give g(q(f)).\nAnswer: 81*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((22\/(-44))\/(25\/(-40)))\/(1*39\/(-5)).\nAnswer: -4\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -3, -1, -5.\nAnswer: -5, -3, -1, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -110*b + 4954. Determine j(45).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 297\/18 + (-12)\/8. Calculate the highest common divisor of 35 and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020\/(-714)*14\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*o + 5342240 = 31987174. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 43*c + 30 = 0. Let l(y) be the first derivative of 2\/3*y**3 + 0*y + 0*y**2 - c. Let s(r) = -r**2. What is l(s(g))?\nAnswer: 2*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**2 - 55*n + 55*n.\nAnswer: 16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -26.0742 + 0.0742. Which is the third biggest value? (a) 0.1 (b) -5 (c) t (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5503403 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4384*v + 4391*v + 35. Let n(l) = -15*l - 13. Let z be n(2). Sort z, -3, v in decreasing order.\nAnswer: -3, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4318 divided by 9008.\nAnswer: 2159\/4504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o**2 - 6*o - 5. Let i be s(-6). Let t be 1\/(-13)*i - 3. Which is the closest to 6? (a) t (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154 + 704 = -43*t - 7*t for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from baabbbbbbbbll?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a + b - 3*b - 81, -4*a = 3*b - 74. Let r = a - 0. Solve -f - 11 = -g + 2*f, -f - r = 3*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -12*o - 385. Determine n(-39).\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -673*a - 14536 + 16 = -233*a for a.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*k**3 + 9*k**2 - 26*k**4 + 30*k**4 + 60*k - 23*k + 53*k**3 wrt k.\nAnswer: 96*k + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -14\/85247?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -111*v**3 + 3*v**2 + 3*v + 3. Let s(r) = 112*r**3 - 2*r**2 - 2*r - 2. Determine -3*s(g) - 2*u(g).\nAnswer: -114*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2410224301 - -10?\nAnswer: 2410224311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 231 - 229. Let w(s) be the first derivative of -8*s + 9 + 0*s**j - 2\/3*s**3. What is the derivative of w(k) wrt k?\nAnswer: -4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lwwlwwwlllllllwllwl. Give prob of sequence wl.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 48 in 5, 21, 3, 41, 2\/25?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1897482 and 0.1.\nAnswer: 1897482.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**3 - 200120*m**2 - 4805092*m - 4604968 = 0.\nAnswer: -23, -1, 50054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mcl when three letters picked without replacement from mmlllmclmmlcllll.\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from pfttkwkbp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 28421 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 2*t - 1. Suppose -g - 16 = 5*l + 11, 3*l - 5*g = -33. Calculate r(l).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/792*(-81)\/36?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 10:18 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 0*h + 5*h**2 + 3 - 1\/12*h**4 + 31\/60*h**6 + 0*h**5 + 91\/6*h**3. What is the derivative of z(t) wrt t?\nAnswer: 186*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.008 - -10.008. Which is smaller: -0.8 or x?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 148*p - 18505. What is b(130)?\nAnswer: 735","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*o**3 + 15*o**3 + 48*o**3 - 53*o**3.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 25830640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 661653090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2562)\/4880*(-2730)\/(-117)\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (252\/77)\/(4292\/82621).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3243, 6458, 9673, 12888, 16103?\nAnswer: 19318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 3 + 2)*(4 - 4 - 3) + 3 - 3 + 2)*(8*i**3 - 20*i + 20*i).\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - (sqrt(35) - (sqrt(70)\/sqrt(32) - sqrt(35))))\/(3*sqrt(245))*-3)**2.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g - 1. Let w be i(5). Suppose -t + w = 3, -4*n + 17 = 5*t. Suppose -n*o + 3 = -3. Solve -4 = -p - o*d - 2, 4*p = -3*d + 13 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -404107000 to the nearest 1000000.\nAnswer: -404000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 8)*(-2*j + 20*j + 40*j + 7*j) to the form t + d*j and give d.\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*y - 13 = f, 2*f - 10 = 2*y. Let x(d) = -9*d - 1 + d**f - 1 - 1. Let u = -1655 - -1663. Determine x(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2341*z**3 - 2489*z**3 - 6229*z**3 + 2*z**3 - 3*z**3 + 0*z**3 + (2*z**2 + 2*z - 2*z)*(3 - z - 3) - 2*z**3 + 5*z**3 - z**3.\nAnswer: -6378*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -8132.34 and -25.\nAnswer: -8157.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6576 + 282576 = -3*v. Round v to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 486 a factor of 447248790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in meters?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 + 4*m - 2. Let f be (-1)\/4 - 36\/(-16). Let a be d(f). Suppose -5*o - a = -105. Solve 5*k - o = y, -10 = -5*k - 5*y + 15 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -3 + (-5)\/(-1) + 0. What is the greatest common factor of s and 180?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 6*w**2 - 398*w + 96. Give r(66).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 1:13 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, 0.4, -1\/70, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1152 at least as big as -8861?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1\/391, 2, 0.1 in descending order.\nAnswer: 2, 0.1, 1\/391, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 16300000 rounded to the nearest 1000000?\nAnswer: 16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19418.448 months to years.\nAnswer: 1618.204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-281277)\/(-53676) + (-5 - 0). Let d = x + -145\/213. Find the common denominator of d and 19\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27)\/(-4) + (-3)\/4. Suppose 0 = 3*v + 12, -q + 3*v - 7 = w*v. Suppose 0 = -5*a + u + 43, -q*a - 17 = -3*u - 66. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/141 in 0.5, 0.8, 0.014, 0, -4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + k = -27, -953384*k = 2*y - 953385*k - 18 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -159.396?\nAnswer: -478.188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -20\/24773 (b) -1 (c) 1\/2 (d) -5 (e) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 170\/(-25))*(-60)\/(-18)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2080401777?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from bqi?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 59931 - 40700. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59355 is divided by 284?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 24 = -4*d + 3*r, 4*d + 24 = -2*r. Let g(c) = 11*c - 3. Let z(f) = -4*f + 1. Calculate d*g(w) - 17*z(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - f + 3*b = -195, 4*f = 3*b + 264. Let l = f + 234. Suppose 7*r = -58 + l. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 54159, 57320, 60481?\n\"Answer: 3161*r + 50998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from sgggvssshzgzszzhgzz.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*-3.2.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3062358, 3062317, 3062276, 3062235?\n\"Answer: -41*j + 3062399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3718600 divided by -929650?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ee76 (base 15) to base 4.\nAnswer: -30111033","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 7 + -6)*-4*1. Let v be 11\/22*o\/2. Which is smaller: v or -3\/73?\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 130 - 104. Calculate the greatest common factor of 13 and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-687*w + 9182 - 9182)*(-2*w + 0*w + 5*w) to g*w**2 + f*w + a and give g.\nAnswer: -2061","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 1158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**5\/4 - 5*j**4\/3 + 5*j**3\/6 + 10*j**2 - 5*j. Suppose p(o) = 0. Calculate o.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 32, 43, 54, 65, 76?\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 65447 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or -0.15600249?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 3*j - 12 = -2*s, -5*s - 12 = 3*j for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes after 2:07 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3669 is divided by 330?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**2)**(13\/2)*(i**(-2\/21)\/i)\/i*i\/(i**(2\/9)*i) assuming i is positive.\nAnswer: i**(673\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 43841899977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.1, 0.4, -1, -13?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 7*l - 5. Let v be n(-7). Let z(g) = 2*g**2 - 4*g - 7. Let w be z(v). Let u = 58 + w. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -0.56 (c) 247\/4 (d) 94\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 4. Let j(p) = -3*p - 3. Let u(n) = j(n) - 2*s(n). Let y = -10 + 16. Determine u(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**3\/7 - 1388*c**2\/7 - 43502*c\/7 + 44888\/7.\nAnswer: 2*(c - 724)*(c - 1)*(c + 31)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7476467000 rounded to the nearest 1000000?\nAnswer: -7476000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/2)\/((-8)\/(-32)). Suppose 0*v - w*v - 10 = 0. Suppose z = -r + 2, r + 2 = -2*z + 1. Which is the third biggest value? (a) v (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 436, 472, 508, 544, 580, 616?\n\"Answer: 36*y + 400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0101214395*-0.2.\nAnswer: 0.0020242879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 20354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 11*g**2 + 4*g + 10. Let f be m(-10). Let z = f + -43. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72276126.\nAnswer: 2, 3, 13, 926617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21941 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -5*g - 1. Let v(h) = h + 1. Let r(t) = -s(t) - v(t). Let q(i) = -3*i. What is r(q(k))?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*m - 1487*m + 1517 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*k - 2*k + 246 = 0, 413 = 5*y - 4*k. Suppose -y = 4*v - 9*v. Suppose 3*f - 7 = v. What is the least common multiple of 6 and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**3 - 9*m**2 + 54*m + 1. Let g(d) = -2*d**3 - d**2 + 1. Let j(u) = -g(u) + h(u). Find the second derivative of j(t) wrt t.\nAnswer: -18*t - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - 106 + 8*z + 305 - 109.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -112022 (base 3) to base 11\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-45)*15\/(-24)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 5*v + v**3)*(0 + 0 + 2*v**2) + 719*v**4 - 719*v**4 + 21*v**5 + 2*v**5 - 3*v**5 - v**5 + (-v**3 + v**3 - v**4)*(-2*v - 2 + 2).\nAnswer: 23*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 4*i**2 + 8*i + 11. Let k be v(-5). Let r = k - -9. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 18*j**2 + 2*j + 2. Let t(i) = 85*i**2 + 9*i + 9. Let s(u) = -9*b(u) + 2*t(u). Let x(o) = -32*o**2 + o. Give x(s(a)).\nAnswer: -2048*a**4 + 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 579699 + -264592. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4780 and 130?\nAnswer: 62140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1101010001100100111 (base 2) to base 10\nAnswer: 434983","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ygwgylyylllylyg. What is prob of picking 2 l and 1 w?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1682 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes after 7:25 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4\/3, 0.34, -2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 450550, 900973, 1351286, 1801483, 2251558?\nAnswer: 2701505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/4 - 260695*n\/4 - 8605113\/2.\nAnswer: (n - 260761)*(n + 66)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5094?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aak when three letters picked without replacement from akemeeea.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (40\/25)\/(4\/10). Let v = 2 + -3. Let y = s + v. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-44)))\/k)\/(k*((k**(3\/16)*k)\/k*k)\/k)*((k\/(k\/(k**(2\/13)\/k)*k))\/k)\/k**(1\/10) assuming k is positive.\nAnswer: k**(-51099\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7913795 or -7913808?\nAnswer: -7913808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (12 - 1) - -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30436784.\nAnswer: 2, 7, 19, 14303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t\/t**(-1\/4)))\/t)*t)\/((t\/t**(6\/11))\/t))\/(t*t\/(t*t**(2\/3))*t)**14 assuming t is positive.\nAnswer: t**(-1963\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-12)*24*(-9)\/162.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2198725051 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5006?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -165, 2\/7, -0.5 in decreasing order.\nAnswer: 2\/7, 0, -0.5, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y = 30*y - 172. What is the remainder when y is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7009, -6992, -6963, -6922, -6869, -6804?\nAnswer: -6727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1122, 1335, 1546, 1755, 1962, 2167?\nAnswer: 2370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-21)\/(-2))*3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 3*a + 6. Let i be s(-4). Suppose 0 = 2*u - 8 + 2. Let r be 2\/u*27\/i. Calculate the greatest common factor of r and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63264472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.06\nAnswer: 0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -5. Suppose 0 = 2*g - 6*g + m*l + 22, g - 5 = l. Let d(y) = 144287*y - 9. Let k be d(g). Round k to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 16) to base 14\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -189, -181, -167, -141, -97?\n\"Answer: w**3 - 3*w**2 + 10*w - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -4, -5\/1628.\nAnswer: -4, -5\/1628, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 64 divided by 33214\nAnswer: 32\/16607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 23662735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16746 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21\/(-28)*(-2 - 2) and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2))**(-32)\/(b**(-2\/3))**(-12\/19) assuming b is positive.\nAnswer: b**(-312\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 3*x - 2*x)*(167*x - 382*x + 160*x) - 3 + 3 - x**2 as r*x**2 + m*x + g and give r.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-11)*n*n*n**(-16\/3) assuming n is positive.\nAnswer: n**(-43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/((-12)\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.18 - 1.48. Let k be (9\/(-4))\/((-3)\/2). Which is the third smallest value? (a) k (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a tonne in kilograms?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjjjjjjjjjjbjbj. Give prob of sequence jjbj.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 321 and 2232894297.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:19 AM?\nAnswer: 6:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2015323.\nAnswer: 83, 24281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -666, 6, 3, 5 in increasing order.\nAnswer: -666, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126750841 and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0462 less than or equal to -54474?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66 + 63. Let d(l) = -4*l + 11. Let i be d(m). Factor -4*w**4 + 8*w**2 + 5*w**3 - w**3 + i - 23.\nAnswer: -4*w**2*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(272))*6*2 - (sqrt(272) + -4)*3*6)**2.\nAnswer: -4032*sqrt(17) + 16848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-860)\/(-6) + (-16)\/(-24) and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p + 2*p - 1304240*p**3 - 107990*p**3.\nAnswer: -1412230*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -34 (b) 3 (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*q - 28*q = 6*q + 34 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -1, -4, 4109 in decreasing order.\nAnswer: 4109, 0, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of d**3\/3 + d**2 + 2*d - 4. Let b(k) = -k**2 + 9*k - 3. Let u be b(9). Let a be c(u). Solve -a*z + 14 = 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1*sqrt(288))**2 + (2*sqrt(22))\/sqrt(11).\nAnswer: 2*sqrt(2) + 338","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 20*b**2 - 645*b + 5. Let x(y) = 3*y**2 - y + 1. Let j(l) = -a(l) + 5*x(l). Determine q so that j(q) = 0.\nAnswer: 0, 128","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 5 - 2)*(4*p**2 - 13*p + 13*p) - 5*p**2 + 4*p**2 + 0*p**2)*(p**3 + 0*p**3 - 2*p**3).\nAnswer: -7*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2817 divide 240407757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.2. Suppose -10*x + 2808 = 2*x. Let w be 0 + 7 - x\/30. What is the third biggest value in w, 1.1, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen twelths of a minute?\nAnswer: 65000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 - 6*h - 5. Suppose -d = -3*d + 44. Let s be ((-17)\/3)\/(14\/42). Let y = d + s. Give m(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.2*-2.322\nAnswer: -5.1084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 4*g + g)*(-2 + 0 + 1) - 1014*g + 404*g - 1156*g.\nAnswer: -1764*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0637 - 0.1537. Let u = 221\/6 - 2323\/66. Let q = u + -61\/44. Which is the second smallest value? (a) v (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 763573643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*0.2843\nAnswer: 0.11372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.872 to one dp.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 41 and 26.\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 3, x: 2, w: 4, p: 1}. Give prob of picking 1 w and 1 k.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 15\/2*l - 21\/2*l**2 + 3 = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1200) + 0.\nAnswer: 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 1:33 AM?\nAnswer: 472","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42 - 3\/15*0. What is the common denominator of (7\/r)\/((-2)\/(-29)) and -79\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -w + 1069, 39*w - 24 = 43*w. What is the highest common factor of t and 258?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jz when two letters picked without replacement from ylzzj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 379473564.\nAnswer: 2, 3, 73, 101, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/7 or 1.746674?\nAnswer: 1.746674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -78, -2 in descending order.\nAnswer: 0.2, -2, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 662 = 694. Calculate the common denominator of (-2)\/(-4)*y\/(-40) and 90\/(-32) - -3 - 3.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5936 and 4876.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 18*g**2 + 8*g + 46. What is k(11)?\nAnswer: -713","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11\/2*n + 1\/4*n**2 + 121\/4 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-85)\/(-68)*(-2)\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.073 from 9734153012.\nAnswer: 9734153012.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -144825*t - 579329. Determine n(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 2. Calculate the common denominator of (-2 - -43)\/((-88)\/f) and -121\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -4*p**2 + 36*p + 97. Determine f(12).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1955727?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - x - 25, 4*l - 2*x - 65 = -5*x. Suppose 19*h - l*h - 340 = 0. Calculate the remainder when h is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1507*b + 1497*b - 10 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 + 8. Let k be (0 - (0 - j))\/(-2). Suppose -4*b + u = -k*u - 132, -b + 2*u = -26. What is the remainder when b is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.7? (a) 1\/3 (b) 0.1 (c) -1\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11210*o + 11209*o - 10*o**4 + o**3 - 1 - 2 + 1 to the form f*o**4 + c*o**2 + z + t*o + y*o**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/19, 83, -0.5, 2\/25?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1703064388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 - 67496*b - 18863900.\nAnswer: 4*(b - 17149)*(b + 275)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-16)\/32)\/(-1 + (-1006)\/(-1008)). Let m = 365 - z. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 (base 15) in base 8?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 5. Let p(n) = 18*n**2 - n + 4. Let g(k) = -l(k) - p(k). Let s(h) = 7*h. Give s(g(q)).\nAnswer: -126*q**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 11 = -8. Let b be f\/(-24)*2 + 2096004\/16. What is b rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -0*g - 12. Let a(w) = -w + 7. Let n be a(g). Find the second derivative of 2*p**n + p + 3 - 3 wrt p.\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1216*t - 69829 + 69829)*(2*t + 3*t - 4*t) to the form a + r*t**2 + p*t and give r.\nAnswer: -1216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -187*g - 9. Suppose 3*c + 0 + 9 = 0, -4*c = 4*u + 44. Let r be m(u). Suppose 0 = -13*z + r - 551. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*((-27)\/(-972))\/(9\/(-60)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 2349.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 2*b**2. Let j be a(-2). Let q(p) = p**3 - p**2 + 4. Let h be q(j). Let m = 2 - -3. Solve 2*x - 3*x - h*u = 20, -m*x - 5*u = 40 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 13*u - 4. Let i be l(5). Find the third derivative of 25*o**2 - 29*o**2 - i*o**2 - 44*o**4 wrt o.\nAnswer: -1056*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 3*b. Let i be ((-15)\/(-6))\/5*18. Suppose 9 = g - 0. Let a(f) = i - g + f. What is a(s(t))?\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -35, 2869, 84 in descending order.\nAnswer: 2869, 84, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 6\/9)\/((-40)\/(-48))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 980 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*t = 2, -j - j - t + 9 = 0. Let h(l) = 13*l + l**3 - 11 + 7*l**j + 19*l - 26*l. Is h(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 35\/6, 0.03, -198.74?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7151624 micrograms to grams.\nAnswer: 0.0000007151624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2066320 - 20?\nAnswer: -2066340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15\/(-3) - 1455\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1062 - -2017?\nAnswer: 735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/7 + 17*y**2\/7 - 71*y\/7 + 55\/7.\nAnswer: -(y - 11)*(y - 5)*(y - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*q**5 + 19*q**3 - 775*q**2.\nAnswer: -540*q**2 + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*a - 1149 = -5230. Calculate the smallest common multiple of a and 3.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 - 2*v + 20. Determine p(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5085281 litres?\nAnswer: 508.5281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3)*q**(-13)*q*q**(-13)\/(q**(-1\/13)\/q))**(-1\/29) assuming q is positive.\nAnswer: q**(350\/377)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 1)*(22 - 6*n - 22)*(-6 - 10*n**2 + 6) + 0 + 0 + n**3.\nAnswer: 241*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -265.3 - -265. Sort 2, v, 3, 42.\nAnswer: v, 2, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1488, -2985, -4492, -6009, -7536?\nAnswer: -9073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2 (b) 68 (c) -11 (d) -0.2 (e) 5 (f) -13\/5 (g) 3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/(-4))\/((-35)\/16). Let h = w + 1\/35. Let r = 3729 + -3729. What is the smallest value in h, -0.2, r?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1544633\/42 - 36774. Calculate the common denominator of 109\/60 and s.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.69 * 554.\nAnswer: -3152.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -87807 divided by 2?\nAnswer: -87807\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*k - 3*y, -k = 5*y - 2 - 0. Solve 4*l + 0 = k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 444021467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 0, 0*w = -u - 5*w + 106. Suppose -218 - u = -3*v - 4*y, -3*y = 3*v - 321. Is v a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36422537797 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.25043 + 0.25043. Let f be (-35)\/27 + 0 + 1. Let t = 1\/27 - f. Sort n, t, -2\/3, -4 in ascending order.\nAnswer: n, -4, -2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.18 - 1.82. Let x = -78.0919 - 0.9081. Which is smaller: x or s?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = l - 3*v, -v + 0*v = 3*l - 289. Suppose 2*o - l = -o. Suppose -2*h - o = -5*f, -4*h + 0 - 8 = -3*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50664041 (base 7) to base 8\nAnswer: 20116174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o - 90552. Let u = -271807\/12 - o. Calculate the common denominator of -49\/12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of 0 - 3\/70*j**7 + 1\/120*j**6 - 41\/30*j**5 + 0*j**3 - 132*j**2 + 0*j + 0*j**4. What is the third derivative of t(k) wrt k?\nAnswer: -216*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(117)\/(sqrt(729) - (sqrt(729) - -1*sqrt(729)) - sqrt(729)))**2 - 2*(sqrt(65)\/sqrt(5) + 2)).\nAnswer: -2579\/324 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 89?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 15*p**2 - 2*p + 138. Let q be l(15). Solve -q*v + 576 = -36*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 11 - 5. Let n be -1 + 1*(-4)\/c. Let z = n + 9. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3145580?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26056?\nAnswer: 2, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93133*p**3 + 93128*p**3 + p**2 - 6*p**2.\nAnswer: -5*p**3 - 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 98904.54g?\nAnswer: 98904540000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*q\/q**(1\/4)))**(-11\/4)*q*q\/((q*((q*q**(1\/7)*q)\/q)\/q)\/q)*q*q**6 assuming q is positive.\nAnswer: q**(1223\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 1808520*c**2 + 272563857711*c - 545120481366.\nAnswer: 3*(c - 301419)**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 48*3\/24*(-249)\/(-2). What is the highest common divisor of w and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 + 10*m**2 - 96*m + 9. What is r(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 854 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 15, -21, -4, 2, -34 in ascending order.\nAnswer: -34, -21, -4, -2, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a meter in centimeters?\nAnswer: 1450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1776193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -398 + 401. Let h be 8 - (n - (-224)\/49). Factor 0 - 33\/7*c**2 + 18\/7*c - h*c**4 + 18\/7*c**3.\nAnswer: -3*c*(c - 3)*(c - 2)*(c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -378 + 383. What is the nearest to -3 in b, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005494 to four dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + -2*sqrt(162)*1 + sqrt(162) + ((1 + sqrt(162) - sqrt(162))*-2 - sqrt(162)))**2.\nAnswer: 180*sqrt(2) + 673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 5:42 AM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.45 + 0.868882.\nAnswer: 6.318882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11769217*z**2 - 23679925*z.\nAnswer: 23538434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-79.\nAnswer: -23.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 v, and 2 x when four letters picked without replacement from {v: 3, x: 3, i: 1}?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 21*1\/((-3)\/(-17)). Let h = z + -119. Solve 0 = -h*w - w + 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4\/253 (b) -5 (c) -13 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -28696000 to the nearest 1000000.\nAnswer: -29000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, -39563, 3, 11 in increasing order.\nAnswer: -39563, 3, 11, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g - 2. Let u(t) = -10*t - 5. Let v(n) = 10*h(n) - 4*u(n). Let l(f) = -f + 38. Let d be l(20). Let x(r) = d - 18 - r - r. Determine x(v(q)).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ilipiipllpi. What is prob of sequence ip?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*h + 20 = 0, 29 = 4*u - 5*h + 4. Suppose 9*c - 5*c - 12 = u. Let y(l) = 2*l**2 + 2. Let x(b) = -2*b**2 + 1 + 2 - 5. Give c*x(j) + 4*y(j).\nAnswer: 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((14 - 22) + (2 - -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-3)*((-1740)\/14)\/2. Let f = d - 21. Let m = 1.1 - 1. What is the nearest to m in 0.4, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -160.372402 rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve p**2\/2 - 127890*p + 8177926050 = 0.\nAnswer: 127890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2445428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 22 = -0*g - 3*g, 2*g = 2*f + 12. Suppose 0*v - 42 = -3*v. Suppose 2*m = -0*m + v. What is the lowest common multiple of m and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000042 rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/15 in 16887, 0.4, -2\/15, 2\/19?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -519a (base 13) to base 14.\nAnswer: -417b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 + 81 = 5*c + 38 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9004444 (base 11) in base 7?\nAnswer: 252400116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 8*q**2 + 5*q - 5. Let n be z(-9). Let f be n + 0 - (1 + 0). Is 24\/10*f\/12 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 - 36 - 16)*(2*w - 2 + 2)*(-1 + 1 - 1 - 2*w) as s + a*w + p*w**2 and give a.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/8855 and 119\/11770.\nAnswer: 1894970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t. Let j(y) be the first derivative of -y**4\/12 + 2*y - 2. Let u(n) be the first derivative of j(n). Determine l(u(c)).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -124 times -4.9\nAnswer: 607.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 589?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**5\/60 - p**4\/12 - p**3\/6 + 7*p**2\/2 + 5. Let u(l) be the second derivative of j(l). What is the units digit of u(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**3 - 12*n**2 + 11*n - 1. Give b(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 469710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -29, 6, -15399, -4 in ascending order.\nAnswer: -15399, -29, -4, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -a**5\/10 - a**3 + 3*a**2\/2 + 2356*a. Give c(3).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = -2*y + 3*f, 0 = -2*y - 2*f - 263 - 87. Let g = -45 - y. Suppose j - 3*n + 4*n - 45 = 0, -3*j = n - g. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h**3 - 261*h**2 + 389*h - 33. Determine a(-132).\nAnswer: 891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-30) + 216\/180)*-24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 17 + 8 = 0. Suppose 14 = 3*w - 2*f, i*f - 1 = -4*w - 13. Suppose y + w*m = 37, -5*y + 117 = -2*y + 4*m. Is 20 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 264\/32 + (-1)\/4 + -5. Suppose -3*w + 3*f - 1 = f, 3*w = v*f. Let b(l) = 10*l + 1. What is b(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1732 and 15262384?\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1196 and 218270.\nAnswer: 436540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 909081213 or 2727243638\/3?\nAnswer: 2727243638\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(33)\/(-1*sqrt(11)))**2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/49, 0.3, -0.1, -91, 2, -3\/4 in ascending order.\nAnswer: -91, -3\/4, -0.1, -2\/49, 0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2647.5 * -0.01\nAnswer: -26.475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.069 times -19816\nAnswer: 1367.304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 3951.3098.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-6))\/((39\/(-18))\/13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 26\/169 - (-100)\/26. Let f be (1\/2)\/(1\/v) + -1. Is f + -1 - (-16 - -2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of -1903*t**8\/168 + t**7\/105 - t**4\/8 - 583*t**3\/6 + 58*t**2 - 8*t + 1. What is the second derivative of d(r) wrt r?\nAnswer: -76120*r**3 + 24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -402 + 399. Sort 5, -0.3, -1, y in decreasing order.\nAnswer: 5, -0.3, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 769958 = -77*u + 767956 for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-2 - 1)) + 1 + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -8*b - 3. Factor 1\/4*m**4 + 0*m**2 - 1\/4*m**b + 0 + 0*m.\nAnswer: m**3*(m - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1287\/858*(-1)\/(-3)*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 - s**4 + s**4)*(-29025*s + 1 - 2 + 31686*s) - 2*s**5 - 6*s**5 + s**5.\nAnswer: 5315*s**5 - 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 2*s. Suppose 0 = -0*y - 3*y + 132. Calculate the remainder when y is divided by (-20)\/(-6)*9\/s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 2100 + 350 = 0. Let s = i - -614. What are the prime factors of s?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6224287 is divided by 1336.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78563?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91050 and 60?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4 + (sqrt(171) - (-3*(0 + sqrt(171)) - sqrt(171))) - -2*(-1*sqrt(171) + 5))*2)**2.\nAnswer: 972*sqrt(19) + 6885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 205744 divided by -616\nAnswer: -334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-10\/3)*l)*l*l**2*(l*(l*l\/l**(-12\/5))\/l*l)\/l*l*(l\/(l\/l**4)*l)\/l assuming l is positive.\nAnswer: l**(236\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2\/3 - 4527946*c\/3 + 4527952.\nAnswer: -2*(c - 3)*(c + 2263976)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555992 is divided by 2562?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 15 + 3*z - 15 - 5*z. Let d(l) = -11*l + 13*l - 21*l - 12*l - 30*l. Give n(d(t)).\nAnswer: 122*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1269\/2 + -638. Is 3\/5 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 7*r - 43. Let x be d(7). Let c(w) be the first derivative of -1\/4*w**x - 3\/10*w**5 + 1\/2*w**3 - 6*w**2 + 15\/8*w**4 + 6*w - 4. Factor c(u).\nAnswer: -3*(u - 1)**3*(u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*f = 33*f + 21. Let c(s) = s**3 + s**2 + s + 4. Let n be c(0). Differentiate f*u**3 + n*u**4 - 3*u**3 - 1 wrt u.\nAnswer: 16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274600 is divided by 18306?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 37827 times 0.5?\nAnswer: 18913.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177 is divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*m + 29*m - 681174 = -34*m. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 3*l - 13 + 51, 4*l = 8*q - 3*q - 102 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-9) - 556\/834. Which is the smallest value? (a) 7 (b) -0.86 (c) m (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88401 = -8*j + 406649. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 114*y - 49*y + 2*y**2 - 27*y - 35*y - 4. Let c = 3 - -1. Let h(a) = -a**2 - 2*a + 3. Calculate c*n(s) + 5*h(s).\nAnswer: 3*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*q + 19*q + 6*w - 97 = 0, 2*q + 3*w - 53 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.359 - -16.259. Let i = h - 1.9. Let c = -19 + i. Put -1\/2, 2\/5, c in increasing order.\nAnswer: c, -1\/2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l + 226. Let q be u(10). Let b(p) = -p**2 + 21*p + 14. Let r be b(21). Calculate the highest common divisor of r and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2380)\/102*(-21)\/70?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34 and 735998.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6914 is divided by 490?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-38))\/((-29)\/(-58))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 99691373 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 250, -24, 5, 6, 1, -1 in decreasing order.\nAnswer: 250, 8, 6, 5, 1, -1, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 154 = -2*q, -q + 2*q = -2*g - 67. Let l = -44 - q. Factor -2*n**3 - 18*n**4 + 6*n**2 + l*n**4 + 2*n**5 - 19*n**4.\nAnswer: 2*n**2*(n - 3)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 6*k - 58. Let b be q(9). Let c be b\/14 - ((-20)\/14)\/(-2). What is the closest to 0.1 in c, 4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 2\/15, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 4:02 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + n + 9 = 0, -24 + 30 = 4*t - 2*n. Solve 0 = -t*d - 78 + 62 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -2366, 4 in ascending order.\nAnswer: -2366, -3, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 200*z**5 - 7*z + 4 wrt z.\nAnswer: 4000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -2\/5 (c) 0.016 (d) 0.4 (e) 0.1 (f) -0.5 (g) -0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.76 in -0.1, -4\/5, 0.5, 0.202, 0.2, 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/3 in -95, 0, 0.5, -2\/11, -4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 = -8*w - 3*u, 461*u + 10 = -5*w + 4*w + 464*u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174.9 - 162.6. Is p greater than 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 7 = 8. Suppose -x*n + 14 = 5. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) 0 (c) -1\/6 (d) -11\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18105643 to the power of 1\/2, to the nearest integer?\nAnswer: 4255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -6, 1, 8, 5 in ascending order.\nAnswer: -6, -4, -1, 1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 684 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8070*x**5 - 5865*x**5 + 27558*x**5 + x**5 + 0 + 0 - 6*x**5 + 5*x**5 + 3*x**5 + (-2*x**3 + 3*x**3 + x**3)*(x**2 + 2*x**2 - x**2).\nAnswer: 29770*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 9. Let j be 1*6\/(-7)*7. Let l = b - j. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2882 divided by -1441.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/13, 1.28, 5\/2, -0.5, -6, -0.2, 44?\nAnswer: 1.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 368911 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 - 5*h**2 - 34)*(2*h**3 - h + h).\nAnswer: -10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -4*g**7\/21 + g**6\/6 - 4*g**4\/3 - 4225*g**3\/6 + g - 1206. What is the second derivative of p(n) wrt n?\nAnswer: -160*n**3 + 60*n**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13455996 rounded to five decimal places?\nAnswer: 0.13456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -167, -552, -1193, -2090?\nAnswer: -3243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4499 less than -4497?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-752)\/(-40) - (3 - 48\/15). Suppose 3*z + 4 = g. Let -2*d + d**z - 11\/2*d**4 + 2 + 10*d**3 - 11\/2*d**2 = 0. What is d?\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 58*y**2 - 74*y + 1527. Determine t(59).\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 + 40*x**2 + 68*x + 32.\nAnswer: 4*(x + 1)**2*(x + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10309 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w + 2. Let l(u) = -u. Let o(s) = 2*l(s) - z(s). Let n(m) = -9*m + 7 + 9*m + 10*m. Let c(v) = 2*n(v) + 7*o(v). Let f(y) = -18*y**2. Determine f(c(b)).\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*g - 13*g + 9 + 37*g as m + f*g and give m.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 4*o + 5. Let v = 5 + 13. Suppose -2*h = 4*y + 20, 2*y - 7*y + h = v. Is u(y) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 20. Suppose -5*k = v*h - 189, -10*h = -3*k - 5*h + 143. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the second derivative of o**4\/2 + 219*o + 2. Let g(u) = -5*u**2. Let r(j) = 2*j**2. Let c(z) = -4*g(z) - 11*r(z). Calculate c(d(b)).\nAnswer: -72*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00310583 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*3*(-4 + sqrt(112))*5 - (sqrt(112)*-5*-5 + 6*(sqrt(112) + -4 + sqrt(112))).\nAnswer: -216 + 92*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 + 3*h + 7. Determine j(-4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 7:36 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (70\/(-36) - -2)\/((-1)\/2). Put c, 1, 0.2 in decreasing order.\nAnswer: 1, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/16 and ((-39)\/(-524))\/(90\/60).\nAnswer: 2096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 6:04 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p - 906 = -318. Let c be 4\/p - (-401)\/21. Put -4, 4, c in descending order.\nAnswer: c, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 14*p - 22. Let a be l(12). Let m(f) = f**3 + f + 1. Let x(n) = 4*n**3 - 2. What is a*m(i) - x(i)?\nAnswer: -2*i**3 + 2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -52\/141?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 0*z**3 - z + 15*z**3.\nAnswer: 15*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -31343000 to the nearest 1000000.\nAnswer: -31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 135060716 divided by 567482.\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 3*m**2 - 3*m + 2. Let l be q(2). Let i(j) = 4*j + 3 - 8 - 5*j + l. What is i(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2300379468.\nAnswer: 2, 3, 47, 4078687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 1500 = -5*u - 1662 for u.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 708157, 708134, 708099, 708052, 707993?\n\"Answer: -6*t**2 - 5*t + 708168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*w + 6*w - 34*w + 12*w + 28*w)*(2*w + 2 - 2).\nAnswer: 64*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 111 and 1295?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**5 - 106*c - 4057*c**3 + 4103*c**3 + 158*c + 518*c wrt c?\nAnswer: 40*c**3 + 276*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -8613969, -17227934, -25841899?\n\"Answer: -8613965*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -y, -525503*y + 525499*y = 22*j - 40 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111333 = -2854*h + 439543 for h.\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 0.8 (b) 1\/5 (c) -1800 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63668430827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -1708322.659 to the nearest 10000.\nAnswer: -1710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189000 divided by -47250.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**3 - 7*s**2 + 5*s - 4. What is k(7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -32*r + 24. What is v(-33)?\nAnswer: 1080","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -250311\/20 + 12512. What is the common denominator of 65\/2 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -16092260 and -0.3.\nAnswer: 4827678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008070 is divided by 1525?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**3\/6 - 91*u**2. Let r(i) = 2*i**3 - 2*i**2 - 12. Determine -10*a(z) + r(z).\nAnswer: 2*z**3 - 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1e + 73?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.5 + 0.5. Let w = -5.17 + v. Let r = 2.17 + w. Which is the closest to -2\/7? (a) 2\/11 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 8:28 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4, -27, -50, -73, -96, -119?\n\"Answer: -23*p + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - d + 4*d + d + 2*d + 4*d + 5 - 5 - 2*d + (-4*d + 6*d + 0*d)*(-2 + 2 - 2) - 3*d + 2*d - d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -265 = -8*z - 313 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4 - (4\/1 - 2)*-2. Let p be 8*4 - (0 + 2). Let q be 2\/(-4) + (m - 69\/p). Which is smaller: -4 or q?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*k - 2*g, -2*g = 5*k - 0*k - 28. Suppose -k*h - 3*x + 2 = -2, -2*h = x - 4. Suppose 13 = 3*i + h. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y**2 - 344*y - 7524. Give x(-19).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 548*148\/(-701 - -109).\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25558640?\nAnswer: 2, 5, 319483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 7*x - 3. Let m be b(2). What are the prime factors of (-6)\/3 - (1 - m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -7*i**5\/5 - 8*i - 7. Differentiate a(v) with respect to v.\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9 - 8)\/((-1)\/(-4)). Suppose -p*y + 168 = -2*y. Is 28 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 4:48 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + 2*sqrt(475) + (sqrt(76)*-1 - sqrt(76)) - (sqrt(76) + -2)*-5)**2 + -2.\nAnswer: -340*sqrt(19) + 5589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 217 and 155?\nAnswer: 1085","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36984 - -2217?\nAnswer: -34767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.2. Suppose 2106 = 8*k + 2146. Let p = -2.6 + 2.2. Which is the fourth biggest value? (a) j (b) 0.4 (c) k (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 493130*r + 1108920.\nAnswer: 493130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 + 3*c**5 - c**5 + (2*c**4 + c**2 - c**2)*(-2*c + 0 + 0).\nAnswer: -3*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 plus 10751904.606508?\nAnswer: 10751867.606508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhqkqqqqhhk. What is prob of sequence hkq?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1414357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -27 + -71246?\nAnswer: -71275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3657, -0.1, -3, -1, -2 in increasing order.\nAnswer: -3, -2, -1, -0.1, 0.2, 3657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.37 - 0.03. Let a = 298 + -300. Put a, 2, d in increasing order.\nAnswer: a, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d - 72 + 172 = 0. Solve -4*g = g + d*h - 40, -3*g + 4*h = 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1296)\/504)\/((-18)\/84). Suppose -6 - 4 = -g. Let h = 18 - g. What is the greatest common factor of z and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s = -4. Let j(m) = -5*m**3 + 2*m + 1. Calculate j(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111202313202 (base 4) to base 5.\nAnswer: 2421212332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.3 + 2.9. Which is the nearest to -1\/4? (a) -5 (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - k + k)*(0 + 1 + 2)*(3*k**2 + 2*k**2 - 2*k**2).\nAnswer: 18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27246.659 take away -21641?\nAnswer: 48887.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15393 is divided by 179?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*k - 175 - 1003 = 0. Which is the closest to 0.1? (a) 3 (b) k (c) -2\/19 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 259\/(-74)*3600\/168.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 202046231 + 0.1\nAnswer: 202046231.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51457615.\nAnswer: 5, 11, 935593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - 8. Let w(t) = 4*t**2 + 4*t - 10. Is w(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 95*i - 15. Is 8 a factor of a(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1419?\nAnswer: 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22329, 22492, 22655, 22818, 22981?\nAnswer: 23144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*i + 1556 - 412 for i.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.579917 days to nanoseconds.\nAnswer: 136504828800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and 1308.8.\nAnswer: 22249.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6*y - 52. What is the units digit of -3*(4 - y\/(-3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162961 (base 13) in base 8?\nAnswer: 2057455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7192658 millilitres?\nAnswer: 0.0007192658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -12 + -1 + 23 + (-1 - 91)?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 9) to base 6\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81 - (-14 - 0)) + (7 - -2) + (1 - 1).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/9*-161 + (-190)\/114. What is the highest common divisor of a and 1196?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 117\/308900 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - 1d1?\nAnswer: -1ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*i - 12*i - i)*(-5*i**3 + 6*i**3 + i + i) in the form g + d*i**3 + q*i**4 + u*i + k*i**2 and give k.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeo when three letters picked without replacement from eooeeoooeoeeo.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 - 5*d**4 + 0*d**4 + (0*d + d + 0*d)*(0 - 2 + 1)*(5*d**3 - 14*d + 14*d).\nAnswer: -9*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -303582\/23 at least -13200?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011674 rounded to 7 dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 8:37 AM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 + -7.3. Let y = 2 - 0. Put y, q, -1\/2 in decreasing order.\nAnswer: y, -1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207165198.\nAnswer: 2, 3, 34527533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jcjjjjjjcjjjj. What is prob of picking 3 j and 1 c?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 71096314*k**2*l + k**2 - 9564941 wrt l?\nAnswer: 71096314*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0133 and -7198147.5.\nAnswer: -7198147.4867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4653, 9407, 14223, 19101, 24041, 29043, 34107?\n\"Answer: 31*z**2 + 4661*z - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4658\/11 - -424. Let p be 6*((1 - 3) + 1). Let s be ((-4)\/p)\/(20\/45). Put f, 0.1, s in descending order.\nAnswer: s, f, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 70 - -42. Let s = 23290 - 23278. Calculate the smallest common multiple of s and x.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4 + 2*q + 2*q - 5*q + 1. Let j be d(7). Suppose 3*z - v = -10, -5*v - 60 = 2*z - 25. Sort z, 4, j in descending order.\nAnswer: 4, j, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000007279599 rounded to 7 dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = b + 10, -7*c = 5*b - 2*c + 10. Let h(p) = p**2 + 6*p + 2. Let j be h(-6). Suppose -n = -4*d + 13, j*n + 3 = 3*d - 3. Solve b*r + d*r = 20 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001571895 rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -19*z**2. Let g(q) = 2*q - 28. Give p(g(s)).\nAnswer: -76*s**2 + 2128*s - 14896","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - 2.7. Let y = -0.9 - -5.9. Let j = y + d. Which is the closest to -2\/3? (a) -2\/7 (b) j (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4532070 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 4. Let f be c(2). Let m = 8 + f. Solve m = 4*r + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*o - 8, 2*o = -2*o - 16. Let v = 0.47 - -0.03. Which is the third smallest value? (a) d (b) -0.2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4093414377.\nAnswer: 3, 13, 17, 37, 166867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -353 from 115646.\nAnswer: 115999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19343, 38681, 58019?\nAnswer: 77357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -31. Solve x + 2 = o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cuu when three letters picked without replacement from {g: 1, c: 1, u: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2*t**2 + 6*k**2*t + 1787*k**2 - 3*k*t**2 - t + 2 wrt t.\nAnswer: 2*k**2*t + 6*k**2 - 6*k*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c3bcc (base 16) in base 10?\nAnswer: -3947468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -50514*n + 62996 wrt n?\nAnswer: -50514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 + 6 + 2*m)*(23 + 8 - 17)*(m**3 - m**3 + 2*m**3) to i*m**4 + w*m**3 + t + r*m**2 + a*m and give i.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 115.5725 centimeters?\nAnswer: 0.001155725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 27*g**3 + 79*g**2 + 97*g - 56. Let i(p) = -5*p**3 - 16*p**2 - 19*p + 12. Let q(c) = -11*i(c) - 2*z(c). Determine q(-17).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -489, -488, -487, -486?\n\"Answer: y - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.2, -5, -0.18, -3, -1.\nAnswer: -5, -3, -1, -0.18, 4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a (base 14) to base 7.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 237676911 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -11*m**5\/20 - m**4\/24 + m**3\/6 + 2*m**2. Let s be i(-2). Let c = s + 422. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13525293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -519*v + 565*v - 184 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 97.5513805 to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/22 - (-40)\/(-22). Let w be (-8)\/33 - (-4)\/12. What is the nearest to x in w, -2\/9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xthxhnmnxmxxhxhmtxxm. Give prob of sequence nmhh.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 89242 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -16*d + 2. Let s be t(-1). Suppose 3*k - s = 30. Calculate the lowest common multiple of 14 and k.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 25*s + 0*s**4 - 3\/5*s**5 - 1 + 37\/2*s**2 + 0*s**3 + 1\/15*s**6. What is the derivative of y(p) wrt p?\nAnswer: 8*p**3 - 36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82027 is divided by 11653.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 977 (base 13) to base 14.\nAnswer: 839","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/2*(-4)\/(-6). Suppose -l + m*l = 4. Suppose -x + 0*x = -j - l, -5*x + 22 = -j. Solve -3 = -p - x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6730 - 6501. What is the remainder when 742 is divided by i?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(((j**(2\/3)\/j)\/j*j)\/j*j*j*j))\/(j\/(j**(2\/3)*j))*(j**(-3)\/j)\/j**(-3) assuming j is positive.\nAnswer: 1\/j","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 252 divide 9262260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459*d - 6 = -q + 466*d - 931*d, 2*d - 30 = 2*q for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in -0.2, 5, -1, 19\/8, 3\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4190, -4207, -4232, -4271, -4330, -4415, -4532?\n\"Answer: -y**3 + 2*y**2 - 16*y - 4175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8276 a factor of 798923660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqq. What is prob of sequence qq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 3:46 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*28\/126*((-48)\/28)\/(2\/7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 75.9262 - 76. Round g to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2494179?\nAnswer: 3, 92377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*b**3 - 2255 + 2255.\nAnswer: -19*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/418 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + -1 - (-2 + -7) - (1 - 8)) + -52.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 20*t + 0*t**3 + 0 - 1\/4*t**4 - 3\/2*t**2. Give w(-3).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.98977ng to milligrams.\nAnswer: 0.00002198977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 156, 153, 150, 147?\n\"Answer: -3*n + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**3\/3 - w**2 - 7*w. Determine z(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 2430908.9 days?\nAnswer: 347272.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s + 4. Let z be m(6). Let c be ((-2)\/(-2) - 3)*2. Let w be -2 - (-2 - c\/z). Solve -w*v + 7*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 divide 1909892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l**4\/12 - 105*l**3 - 5929*l**2\/3 - 16464*l - 153664\/3 = 0. What is l?\nAnswer: -14, -56\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -490 + 499 + -1 + (-21 - 0) + -3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 390\/819*(-13)\/((-325)\/(-30))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 7:11 PM?\nAnswer: 4:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 492966?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 2*d + 5*q, -2*d + 5*q + 143 = -0*q. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4493 - -4547 - (76 + 0)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8b + 5?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f\/f**(2\/9)*f)\/f)*f**(-7\/8)\/f*f)\/((f*f**(-24\/5))\/((f**(1\/13)\/f)\/f)) assuming f is positive.\nAnswer: f**(5729\/4680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60 - 68 - (-14 + 2)) + -7?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -5*k + 92 + 444, -4*k = 3*o - 403. Calculate the remainder when o is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-6*(-4 + sqrt(800) + -4*(sqrt(50) + sqrt(800) + sqrt(50))**2 - (sqrt(300)\/(sqrt(12)\/sqrt(2)) + (sqrt(3200)*-1 - sqrt(50)))).\nAnswer: -172896 + 1440*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1535129*l - 4 - 1535127*l + 4 + 0.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 5 = -5*w, 4*w = 5*h - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 504*z + 22 = -506*z, -5*y = 4*z + 35 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*j - b, -2*j - 3*j + 5*b = 5. Suppose 0 = -w + 3*q + 267, -j*w - q + 1039 - 198 = 0. What are the prime factors of w?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 0*x - 9 - x + 308 + 2*x.\nAnswer: -x + 299","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 11:07 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 116, 145, 5, -7 in decreasing order.\nAnswer: 145, 116, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from kkbkkkkkkkkkkkkkkkk.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17*p**3*y**2 - 34*p**3*y + 5*p**2*y - 28*p*y**2 wrt p?\nAnswer: 102*y**2 - 204*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**3 - 28*s + 22. Let i(u) = u**3 - 18*u + 14. Give -5*g(l) + 8*i(l).\nAnswer: -2*l**3 - 4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 + -4 + (4 - 1). Suppose 0 = -5*i + c + 19. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b + 3*b)*(-b + b - 2*b**2) + 2*b**3 + 0*b**3 + 0*b**3 + (4*b - 3*b - 3*b)*(15*b**2 + 2*b**2 - 3*b**2).\nAnswer: -32*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - 2. Let z = -121511 - -609802\/5. Let n = z - 449. Which is the nearest to t? (a) n (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -2\/3*m**3 + 0 - 3\/2*m**2 + m. What is the derivative of d(b) wrt b?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(b - 4*b + 5*b) - 1873*b - 25979 + 25979.\nAnswer: -1869*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mfmfmmmmmfmfmm. What is prob of sequence ffmm?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3611.38 or -366?\nAnswer: 3611.38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092929389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**2 - 3*j - 15. Let m be n(-7). Suppose -r = 4*l - 37, r - m = -2*r - 5*l. Calculate the lowest common multiple of r and 15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nffnfnffnffnffff. Give prob of picking 1 f and 3 n.\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) 142 (c) 1 (d) -0.004 (e) -3 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuobounpininpinnn. Give prob of sequence ii.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 164 (b) 0 (c) 4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97034 is divided by 13861?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1.5. Suppose -4*x + 3*x = -6. Suppose 5*p - 9 = x. Which is the biggest value? (a) 6 (b) p (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0473 - 330.0473. Put 2, i, -2, 2\/11 in descending order.\nAnswer: 2, 2\/11, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 273.491 - 272. Round o to 1 decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 366, 17, -5, -2\/19, -3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46465 (base 7) to base 14.\nAnswer: -44a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5026778 + 0?\nAnswer: 5026778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 - 20. Let l be (10\/(-4) - -3)*h. Suppose l*d - 27 = d. Solve 0*k = -d*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 394556 or 394549?\nAnswer: 394549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((6\/(-8))\/(431\/6034))\/((-9)\/(-30)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 124780160 to the nearest integer?\nAnswer: 11171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -0.014 (b) 2 (c) 14 (d) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = -18 - 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 3*h - 6. Let k(o) = -o + 4. Let n(c) = -3*k(c) - 2*w(c). Let q(z) = 32*z**2. Give q(n(x)).\nAnswer: 288*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8a (base 12) to base 6\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d**3 - 23*d**3 - 28*d**3.\nAnswer: -33*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = 4*d - 14*d. Calculate the remainder when d is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**1*u)**(-1\/27)\/(u**1)**(-39) assuming u is positive.\nAnswer: u**(1051\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.78161 days in nanoseconds?\nAnswer: 5683531104000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 5. Suppose -6 = w + a*r, -r + 1 = 2*w - 4*w. Let x = 41 + -44. Sort x, 1, w.\nAnswer: x, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 7236.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**2)**(-9\/10)\/(x*x**(-11)\/x)**(-2\/11))**(-2\/9) assuming x is positive.\nAnswer: x**(47\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4 + 0 = 0. Suppose 0 = -m + 3*l - 1, 4*l - 13 - 20 = -5*m. Determine r, given that -m*r + 9*r - 5 + 0*r**2 + 6*r + 15*r**j = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -18*l**2. Let g(u) be the first derivative of -9*u**2\/2 + 237. What is z(g(c))?\nAnswer: -1458*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*l - l**2 - 85*l - 36*l**3 + 199*l.\nAnswer: -36*l**3 - l**2 + 45*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-10 - (-4 + 0) - 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 163\/1170 and 25\/3906.\nAnswer: 253890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**(7\/4)))\/b**(11\/3))\/(b**(1\/3))**(-48) assuming b is positive.\nAnswer: b**(169\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -4*q + 3. What is the tens digit of (q + 12\/(-8))*12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n - 2. Let t(c) = -19*c - 3 + 8 + 7*c + 14*c. Let r be (-4)\/(-2)*(-1)\/((-10)\/(-35)). Let m(a) = -6*a - 16. Give n*m(f) + r*t(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 1412.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.534 - 0.534. Let w = 5 - 4.7. Is a != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 10*c + 0 + 10*c + c**2 to the form u + k*c**2 + w*c and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*l**2 + 4*l**2 - 8*l**2 + (2 - 2 + 2*l)*(3*l - l - 3*l) + 0*l + 0*l + l**2 - 3*l**2 - 6*l + 5*l + 0*l**2.\nAnswer: -2*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 4*o**2. Suppose -s - 9 - 8 = 0. Let l(v) = -20*v - 17. Let z(w) = 7*w + 6. Let m(u) = s*z(u) - 6*l(u). What is j(m(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((135\/(-20))\/(-9))\/(1\/4). Let f(y) = 3*y**3 + y**2 + 1. What is the units digit of f(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 + 6*d**2 + d**2)*(1 - 5 + 2) - 2*d**2 + d**2 + 0*d**2 + 17*d**2 + 22 - 22.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1*4)\/(24\/18). Suppose -5*v + f = 3*l - 14, -2*v = -l + 2. Let u be 63\/35 - v\/(-5). What is the third smallest value in 0.08, u, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -h + 4 - 5, 2*h + s = -12. Let k(t) = 2*t**2 + 6. Suppose -2 = 3*b - 8. Let q(d) = -d**2 + d - 6. Let a(n) = b*k(n) + 3*q(n). Calculate a(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.03 - 0.03. Let l = 7891 + -7895. Sort 0.5, q, l in decreasing order.\nAnswer: q, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 x, and 1 g when four letters picked without replacement from {x: 4, g: 1, h: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16569*m**2 - m - 8288*m**2 - 8302*m**2.\nAnswer: -21*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/21 + 16\/21*x**3 + 2\/21*x**4 + 16\/7*x**2 + 64\/21*x.\nAnswer: 2*(x + 2)**4\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rz when two letters picked without replacement from cxervzccxczcxccc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1239565615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.014? (a) -0.01 (b) -0.5 (c) -43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u - 10*u + 160 = 0. Let w be u\/7 + (-12)\/28. Suppose 24 = n + f + 4*f, -3*n = -f + 8. Which is the biggest value? (a) 18 (b) n (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*l = -22*l + 48. Let r be 5\/(-2)*l\/(-20). Solve r*m - 5 = 3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 t, and 1 d when four letters picked without replacement from taaaatttttadtatti.\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 4, -3\/133, 2\/9, -0.1, 1, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-15) - 10\/60*0. Let v = 2 + -3. Is a greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -72*i**2 - 176*i + 52. Determine j(-3).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -4\/3, 0.02, -0.062, -4 in decreasing order.\nAnswer: 4, 0.02, -0.062, -1, -4\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of 5*t**3\/3 + t**2\/2 + 1. Let d be v(-1). Let m = d + 2. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*w = -25*w - 498. Let h = w + -12. Does 22 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 278*x**7\/7 - x**3\/3 - 456*x + 776. What is the third derivative of s(v) wrt v?\nAnswer: 33360*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 - a. Let u = 128 + -126. Determine c(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -944760 divided by 4\nAnswer: -236190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -3, 0.3, -0.3, 139, 1 in increasing order.\nAnswer: -3, -0.3, -2\/7, 0.3, 1, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2 - 10*j + 13. Let x be b(6). Let f = x - -28. List the prime factors of f.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 168. Let t = d + 123. Which is the nearest to 0.3? (a) 3\/4 (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 divided by -4.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3*l - 171. Let b(j) = 286*j. Determine b(u(z)).\nAnswer: 858*z - 48906","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*p - 162*p = 234. Let x = 184 + -110. Let m = p - x. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 + 2.6. Let o = b - 2. Let k = -1 + o. What is the biggest value in -0.1, k, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/43 at least 586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -6. Suppose -s*q + 5*o = 34, -4*q = q - o + 108. Let l = q + 33. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2001247125?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2.68, 2\/13, -0.1, 7\/4?\nAnswer: -2.68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:20 AM?\nAnswer: 4:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 7:40 PM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 - 35*j**2 + 92*j - 32. Calculate p(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4060\/49039 + 142\/(-1349).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5740, 10647, 15380, 19855, 23988?\nAnswer: 27695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/5 - 10620006*q\/5 - 10620008\/5.\nAnswer: 2*(q - 5310004)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 + (-9)\/(-18))\/(36\/1776). What is the highest common factor of 70 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 202632.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**3 - 2*m**3 + 6*m**3 + 5*m**3.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = 3*c - 7 - 2, 13 = b + 3*c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a**4 + 2488*a**3 + 96097*a**2 - 48516*a + 6084 = 0. What is a?\nAnswer: -78, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**3 + 2 + 29*f**3 - 2*f + 18*f**3 - 2*f**2 as t*f**3 + c*f + k*f**2 + v and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19587242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 + -3 + -9 + (-10 - -4) - -25.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12588 - 53625.\nAnswer: -41037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -2278676?\nAnswer: 2278680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 721691955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - h - 6. Let l(t) = -2*t**2 + 6*t - 16. Let j be l(4). Let p = j + 29. Is d(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -1 + 13. Calculate the lowest common multiple of 2 and 3 - (l - -3)\/1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1201 - 1198. Sort -2.6, 0.1, f in increasing order.\nAnswer: -2.6, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1415*g**4 - 27*g**3 - 2*g**2 + 90792*g wrt g?\nAnswer: 33960*g - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1081 and 376.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 8. Let s be j(-7). Sort 4, 5, s in descending order.\nAnswer: 5, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140 = -9*s + 4*n, -121*s - 106*s + 253*s = 5*n + 175 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5\/3)\/g**(1\/2))**(-24))**(-1\/60) assuming g is positive.\nAnswer: g**(-13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3631546 is divided by 2352.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 9. Let a be g(-5). Let f = 708 + -703. Solve -f*t - 1 = a, 2*t = s - 2 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74979774 to the power of 1\/2, to the nearest integer?\nAnswer: 8659","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -26953 + 26958. Sort 2, -3, m, 0, 4 in ascending order.\nAnswer: -3, 0, 2, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 236*b - 7688. What is x(39)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 203.8 + -203.7. Let w = 2 - -7. Let r be (-682)\/460 + w\/6. Which is the closest to 1\/4? (a) r (b) 2\/3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbbj when four letters picked without replacement from {j: 2, b: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 40819017853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l - 53. Let h be k(15). Suppose -45 - 39 = -h*b. What is the remainder when 92 is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2006*(-80)\/(-2040))\/4*6.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84736*v - 464806 + 464806.\nAnswer: 84736*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4326165 - 1?\nAnswer: 4326164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 14291 = 559. Suppose 0 = -4*c + r + 51. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-10)\/(u**24\/u) assuming u is positive.\nAnswer: u**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.607 + 3.42. Let h = 0.013 - w. Which is the third biggest value? (a) h (b) -2\/7 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 261920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 6*a - a - 41, -3*a = 3*w - 21. Suppose -a = 2*i + 5*l, 2*i + 2*i = 4*l - 72. Let p = i - -24. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116412.7 hours in microseconds?\nAnswer: 419085720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 53, -0.05, 0.2, -0.02 in decreasing order.\nAnswer: 53, 7, 0.2, -0.02, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 202836100 to the power of 1\/2, to the nearest integer?\nAnswer: 14242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*i**4 - 714*i**3\/5.\nAnswer: 2*i**3*(20*i - 357)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9718 and 258?\nAnswer: 29154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/(-9))\/((-4)\/(-6)). Let r(t) be the first derivative of t**2\/2 - t - 2. Determine r(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134153119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 834.8 + -764. Let t = 71 - z. Let g = -1 + 1.5. What is the closest to 15 in g, -4, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.91 - -6.910002526. Round s to seven decimal places.\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*c**4 + 28*c**4 + 118*c**4 + (-2 + 4 - 1)*(6*c**4 - 3*c**4 - 2*c**4) to the form f*c**2 + r*c**4 + a*c + i*c**3 + s and give r.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2*k + 3*k)*(363*k**4 - 81*k**3 + 114*k**3 - 374*k**4).\nAnswer: -22*k**5 + 66*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1617 + 2307. Calculate the remainder when p is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10667441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 5*j + 3793 = -6*j - 3*j + 3811, -9 = -2*o - o + 4*j for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 18000.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 562523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -268, -539, -810?\nAnswer: -1081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes after 2:45 AM?\nAnswer: 11:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 133894.\nAnswer: 2, 66947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4208*r - r**2 - 6*r**2 + 19*r**2 - 1.\nAnswer: 12*r**2 - 4208*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 45 - 63 = 0. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 72, 109, 146, 183?\nAnswer: 220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 475747 is divided by 4243.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30146, -59772, -89400, -119030, -148662, -178296, -207932?\nAnswer: -237570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwspuppw. Give prob of sequence ww.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1331?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 93 (b) 0.03 (c) -4\/1803 (d) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**30\/m*m*m))**(-38)\/(m*m*m\/(m**(-34)*m)*m**(1\/14)))**(-15) assuming m is positive.\nAnswer: m**(-239805\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*o**5 + 398*o.\nAnswer: -440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.029 * 1.519.\nAnswer: 0.044051","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*z - 2 = 4*z, -27 = -3*j - 3*z for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2842, -2729, -2628, -2545, -2486, -2457, -2464?\nAnswer: -2513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6 = -0*h, -h + 409 = 2*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((70\/(-15))\/(-7))\/((-2)\/(-1290)). What is y rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-8) + (-77)\/(-308). Which is the nearest to s? (a) -29\/5 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-12)*(-18)\/4. Let v(i) = -26*i**4 + 13*i + 7. Let d(y) = -13*y**4 + 6*y + 4. Let z(w) = b*v(w) + 13*d(w). What is the derivative of z(n) wrt n?\nAnswer: -52*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 28 = -2*y + 4*n, 2*y - 3*n - 20 = 0. Calculate the highest common divisor of y and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 6. Let y be ((d - 5)\/(-1))\/1. Suppose 0*t - 2*t + y*l = -48, -l - 70 = -3*t. Calculate the remainder when t is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75.4+-596289.48\nAnswer: -596364.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**3 + s**2 + 4. Let v(h) = -h**2 - 7*h + 4. Let l be v(-8). Let r be d(l). Calculate the common denominator of (-3)\/(-2) + r\/(-12) and 17\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4694201259*v**3 - 3*v**2 - 4694201299*v**3 + 3*v**2.\nAnswer: -40*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/4 (b) 5 (c) 0.1 (d) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 9 - -4) + (5 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 4.15. Let m = -0.31 - s. Let y = m + 0.3. Round y to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954*f = 6221 - 39611 for f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 9*j + 1. Let x be d(-7). Let u = 25 - x. Calculate the greatest common divisor of u and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 14, -39, -3, -17, -2 in descending order.\nAnswer: 16, 14, -2, -3, -17, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180 + 1277*j**3 - 180 + 1137*j**3.\nAnswer: 2414*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -6*2\/8*-2 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/32 and -4 - (-6)\/((-288)\/(-30)).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y + 4*l + 101 - 62, 2 = -y + 5*l for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oko when three letters picked without replacement from kkokookkokk.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yls when three letters picked without replacement from {s: 1, y: 10, l: 4, d: 2}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -126*s + 6004. Determine w(47).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, l: 1, k: 2, g: 3, q: 2, w: 3}. What is prob of sequence gwvk?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 9*s**2 - 9*s - 6. Let y be i(-8). Suppose 5*l + y*t = 1 + 22, -5*l - 4*t + 21 = 0. Suppose 0*h - 10 = -l*h. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 7*s + 25. Let p be c(-11). Let r(n) = -n**2 - 21*n - 35. Let d be r(p). Suppose q + d*q - 80 = 0. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3 - 12. Suppose -77 - 297 = -17*o. Suppose -v*c - o + 31 = 0. Solve -25 = 2*k + c*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110 - 392.96. Let r = z + 503. What is the biggest value in r, 0.2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**3 + 2388*j**2 - 169929*j.\nAnswer: -3*j*(j - 717)*(j - 79)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 148.9 - 149.22. What is the second biggest value in 4, 7, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f - 1804 + 2002 = 0 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -4*u - 480. Let i(m) = m + 60. Let r(o) = -8*i(o) - n(o). Let b(j) = j - 62. What is b(r(h))?\nAnswer: -4*h - 62","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 13) in base 7?\nAnswer: -143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tytptytkyktykkk. What is prob of picking 1 p, 1 k, and 2 y?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q. Let h(y) be the third derivative of -y**5\/15 + y**3\/3 - 43*y**2. Give h(d(i)).\nAnswer: -16*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -33*o**2 - 5. Let n(w) = -32*w**2 - 4. What is 5*n(a) - 4*u(a)?\nAnswer: -28*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -7582 at least -7593?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-242)\/88)\/((-11)\/3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**2 + 3*l - l**2 + 4*l**2 - 6*l to the form c*l**2 + i + h*l and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2\/7 + 52430*b - 32679732\/7.\nAnswer: 2*(b - 89)*(b + 183594)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 23, 44, 77, 128, 203, 308, 449?\n\"Answer: x**3 + 14*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -107.958 - -229172?\nAnswer: 229064.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 37*l - 84880. List the prime factors of l.\nAnswer: 2, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -98.6 (b) -1\/5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3 + 29132*q**2 + 1102684*q + 10461780 = 0 for q.\nAnswer: -7245, -19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 41 or 37?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 773921*x**3 - 2 - 773933*x**3 + 2.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (1 + -11 - -9).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3810)\/(-315) + (-19 - -7))\/((-35)\/42).\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -5*r**2 - 8*r + 8. Let q(d) = 4*d**2 + 7*d - 7. Let u be (6\/9)\/(5 - (-2618)\/(-525)). Suppose u*t - 12 = 52*t. Give t*q(l) - 5*f(l).\nAnswer: l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -215, -3, 5 in ascending order.\nAnswer: -215, -4, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + 0*i**3 + 0*i**3 + (-2*i**3 + 4*i**3 + 0*i**3)*(3 - 2 - 2).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 20 = 0, 2*b - 8 = 110*x - 108*x for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2887936 and 352?\nAnswer: 31767296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 7*b**2 - 139*b - 17. Let a be k(20). Solve 5*j - 11 = 3*x, -x - a*j = -5*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - 9. Suppose 4*c = 4 + 4. Let w = c - x. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 333389.9 and -28009?\nAnswer: 361398.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1708, 6867, 15476, 27541, 43068?\nAnswer: 62063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 35*o + 3729 = 0. Is (-132)\/(-48) + -3 + o\/4 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29262 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6610500 divided by 8475.\nAnswer: -780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:11 AM?\nAnswer: 5:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.5 (b) -0.3 (c) 1\/3 (d) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001100 - -100100?\nAnswer: -1101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23746761 or 1\/4?\nAnswer: 23746761","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2525 = -7*k. Suppose 17*y - k = 12*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (sqrt(112)*1 + -2 + (sqrt(112) - (sqrt(112) + 0)) + -4)**2).\nAnswer: -300 + 96*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 10) + 8 + 19 + -2 + -10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)*1)\/sqrt(4) - (sqrt(33) + 2*sqrt(99)\/sqrt(3)))\/(sqrt(33)\/((sqrt(88)\/sqrt(4))\/sqrt(2))).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 2 = 0, 3*x = -2*x + 5*q + 165. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eccuhlh. What is prob of sequence lhee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 95*u - 91688. Calculate p(354).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 21*q + 10. Let m(d) = 8*d**2 - 12*d - 49. Calculate the remainder when m(-4) is divided by 33*(q - -3)\/(2*-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 2\/5, 4, 13, -4\/13?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 3. Let t(o) be the first derivative of 21 - 31399*o + 31399*o + 2*o**2 - o**2. What is g(t(c))?\nAnswer: -4*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5245 - 2188. List the prime factors of s.\nAnswer: 3, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2084 and -545?\nAnswer: -1135780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16330*b**3*m - 161*b**2 + 16*b*m + m + 5470 wrt b?\nAnswer: 97980*b*m - 322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42975040013 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15386 divided by -14?\nAnswer: -1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 226*r**2 + 4*r + 9. Let g(t) = -225*t**2 - 4*t - 12. What is 4*f(a) + 3*g(a)?\nAnswer: 229*a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**3\/3 - 5*l**2 - 8*l + 3. Suppose -9 = f - 1. What are the prime factors of a(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - -6 - (-690)\/(-23).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111888969.\nAnswer: 3, 37296323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*d - 3*f, 0*d = 5*d - 3*f - 25. Let y be (((-25)\/(-20))\/d)\/(-1). What is the third biggest value in -2\/11, y, 1\/14?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {p: 9, m: 7}?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -13 - 23. Let p = b + 20. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6\/(t*t**(1\/2))*t\/(t*t*t**(-2))*t**(3\/7) assuming t is positive.\nAnswer: t**(83\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8.9 - 12.9. Let b = 3 - 5. What is the third smallest value in s, 2\/3, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 4*i - 24, 3*h = 2*i + 3*i - 37. Solve i*o + y - 11 = 0, -6*o + 35 = -o - 5*y for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -378 + 417.4. Let r = 0.26 + 34.74. Let d = r - o. Round d to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - -21) + 7 + -58.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 92 (b) -7\/2 (c) -3.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1200242 (base 5) to base 12\nAnswer: -1084b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/832 and -95\/1352?\nAnswer: 10816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q - 14*q = -2*m - 594, 5*q - m = 1477. What is the greatest common divisor of 15 and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -399\nAnswer: -1\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bibbbjjbcibicbbb. What is prob of picking 1 j and 1 i?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qccfccq. What is prob of picking 1 f, 1 c, and 2 q?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 171*g**7\/7 + g**4\/2 + 2*g**3\/3 + 41*g**2 - 26. Find the third derivative of f(j) wrt j.\nAnswer: 20520*j**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142058 and 2919?\nAnswer: 426174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**2\/5 + 55674*y - 1291497615 = 0. What is y?\nAnswer: 46395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 7:50 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 5*o - 22 = 9*o, -4*k + 2*o + 26 = 0. Solve 3*v - 4*j + k*j = 4, -4*v = 4*j for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2362023 - 3723*i - 2362023 to p + b*i and give b.\nAnswer: -3723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 267739 a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, x: 9, o: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18744 + 62974. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55\/7 in 0, -3, -0.8, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 3 = -143. What is the lowest common multiple of 30 and f?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 55 = 5*c, -4*y + c = 4*c + 35 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15255 is divided by 5082?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -1\/35620?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**3 + 142*w**2 - 80*w + 189. What are the prime factors of x(35)?\nAnswer: 2, 3, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*o + 5*v, -9*o - v + 4 = -12*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iesilwlwwwlw. Give prob of sequence www.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j - 5. Let c be x(-2). Suppose 117 = c*u + 12. Suppose -u*k = -36*k. Which is greater: 2\/3 or k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242284 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162)\/(sqrt(18)\/(sqrt(2)*5 - sqrt(2))) - ((sqrt(384) - sqrt(6))\/sqrt(3) + sqrt(162)*-2).\nAnswer: 23*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**3 + 20*x**2 - 48*x - 6. Determine o(-12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - t = -15, 19*t - 22*t - 21 = -5*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -9*u. Let j(w) = -6*w**2 - 2*w + 10. Let b(r) = r - 1. Let o(p) = 2*b(p) + j(p). Let l(d) = -2*d**2 + 3. Let f(y) = -8*l(y) + 3*o(y). Give k(f(h)).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 49 - 5 = 0. Suppose q - 11 = g. Suppose -i = 4*i - q. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20 + (-1)\/1)*(-325 - -356). What is the highest common factor of t and 248?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*y - 52 = 2*y, -g - 4*y + 34 = 0. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + 0. Is (24\/z)\/(2\/110) - 2 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*v**3 + 32*v**3 - 23*v**3.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.1. Let f = -0.21 - 0.09. Let x = -5.3 - f. Which is the third smallest value? (a) x (b) 0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g = 26*g + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -21*c - 4. Is q(-2) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (708\/118)\/(-3*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 6:01 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74231, -148449, -222655, -296843, -371007, -445141, -519239?\nAnswer: -593295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 3*i**2 - 14*i - 214. Calculate h(-9).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i**3 + 8*i - 6 + 6*i**3 - 17*i = 0 for i.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 208 = 6*j. Let o be (-4)\/26 + (-354)\/j. Which is bigger: 2 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 43 = -3*y, -2*y + 5 = -5. Let l = 7 - v. Suppose 26 = -l*x + 2*x. List the prime factors of x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a tonne in kilograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -2.41 in ascending order.\nAnswer: -2.41, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*d**4*m**3 + 35338*d**2*m**3 - 37462*d*m**2 + 20*m**3 wrt d?\nAnswer: -264*d**2*m**3 + 70676*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -77 + 87. Let f(c) = -2*c**2 - 7*c - 3. Let m be f(x). Let k = -190 - m. List the prime factors of k.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/4))**(-34))**(-23) assuming f is positive.\nAnswer: f**(-1173\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 141 + -137. Let l = 76 + -64. Let s be (2 + l\/(-16))\/((-2)\/(-8)). Solve f*a + s*b = -0 + 28, 0 = -3*b + 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -977916, -1955742, -2933378, -3910728, -4887696, -5864186, -6840102, -7815348?\nAnswer: -8789828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 s when three letters picked without replacement from gasossasaasaasssoooa.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1293*k + 650*k = -647*k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -266c (base 16) to base 14\nAnswer: -3828","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.052? (a) -3\/5 (b) 0.085 (c) 2\/7 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**3*y + 14*o**3 - 2*o**2 - 19*o*y - 2*o wrt o.\nAnswer: -6*y + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0, -3, -2653\/5, 1.0946?\nAnswer: 1.0946","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.03846 - 1.46696. Let v = r + 2.029. Let w = -0.6 + v. What is w rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/3 - 3496*x + 10297852\/3.\nAnswer: -4*(x - 761)*(x + 3383)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a**3 - 14*a**2 + 21*a + 14. What is r(12)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z + 14*z + 0*z**2 + 3*z**2 + 4*z.\nAnswer: 3*z**2 + 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -259*(-12)\/1092 - (-2)\/13\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 25\/3547, -40, 1\/3, -5, 6?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 7*y**2 - 8*y + 9. Let i be j(8). Solve i*k = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + b**4 + b**4 + 12*b**3 - 13*b**3 - b**2 as z*b**4 + t*b + l*b**3 + i*b**2 + x and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 2*h - h + h - h.\nAnswer: -3*h + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -137522529*w**5 + 9214032897*w**4 - 149626082971*w**3 - 158950525505*w**2 + 27111736*w - 1156 = 0. Calculate w.\nAnswer: -1, 1\/11727, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 2*a + 9 = 3, -4*a = -4*d + 12. Suppose d = -2*g - 3*g. Factor 8*r - 4*r + 0*r + g*r - 4*r**2 + r**3.\nAnswer: r*(r - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2. Let w(h) = h**2 - 7*h - 5. Let a be w(-1). Let v(n) be the third derivative of 0 + 0*n**a + 0*n + 1\/24*n**4 + 4*n**2. What is v(u(b))?\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 113*r - 135. Let l be j(2). Suppose -5*p + 84 = 14. Calculate the highest common factor of p and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 1048287*u**3 - 4511*u**2 - 22555*u - 4511. Let k(l) = -697*l**3 + 3*l**2 + 15*l + 3. Calculate -6*i(s) - 9022*k(s).\nAnswer: -1388*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16079*k - 1364*k + 3437*k to the form l + x*k and give x.\nAnswer: -14006","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22836 divided by -66.\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47 - 42.68. Let k = j + -0.32. Let o = 0 - 2\/3. Which is the closest to o? (a) -1\/2 (b) k (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -12*r + 1. Let n = 30 - 33. Calculate the remainder when s(-1) is divided by (66\/(-9) - -4)\/(2\/n).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -679?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 48.11 times -21997?\nAnswer: -1058275.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + a - 15 = 0, a - 23 = 2*w + 4*a for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence inii when four letters picked without replacement from ifnnifiinfninfn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.27 + 0.27. Let x = 66 - 168. Let b = x - -105. Sort b, t, 3\/8.\nAnswer: t, 3\/8, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(1 + 2 - 5)*(104 + 2*k**2 - 107 + 24*k**2).\nAnswer: 104*k**2 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m + 19. Let d(k) = k + 16. Determine 3*b(l) - 4*d(l).\nAnswer: 2*l - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.159, -0.2, -1, -0.4 in increasing order.\nAnswer: -1, -0.4, -0.2, -0.159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {f: 5, n: 3, b: 2, u: 7}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 3612326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144\/(-360) - 10254\/(-10).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 + 24869?\nAnswer: 24809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + l. Let b = 305 + -303. Let h(g) = -g**2 - g + 1. What is b*h(r) + 2*i(r)?\nAnswer: 2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 + 5*6\/15*1. Solve -2*f - y + 3 = -2*a, -2*f = -a for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19696300 to the nearest one million.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11962 - -11967. Solve -64*w + r*z - 35 = -69*w, 0 = -w - 4*z + 16 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47\/(611\/(-78))*-3*2\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 5794, 11353, 16690, 21805?\n\"Answer: -111*d**2 + 5892*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*j - 4*q, 4*j = 12*q - 11*q + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 5) + (-1 - -4). Suppose l*q - q - 10 = 0. Is q a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 3*v**2 - 4*v - 2. Let o be g(-3). Suppose -2 = -3*s + o. Let d(b) = 2*b - s*b - b - 3 - 2*b**2. Determine d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -4*p**3 + 17330*p**2 - 25968*p - 77958 = 0.\nAnswer: -3\/2, 3, 4331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -131?\nAnswer: 12c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -763 = 6*r - 775. Suppose 4*w + 17 = 5*w - g, -r*w + 4*g + 26 = 0. What is the greatest common divisor of w and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -69247 and -0.087.\nAnswer: 6024.489","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/(-187) + (-2 - 110\/(-68)). Sort u, -5, -1 in increasing order.\nAnswer: -5, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2151)\/192)\/((-351)\/(-156)) - -3. Sort 0, m, -1\/3 in descending order.\nAnswer: 0, -1\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 3043?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 9790011?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -361 + 358. Sort a, 0, -3\/5, -2\/3 in descending order.\nAnswer: 0, -3\/5, -2\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + -5)\/((-51)\/1)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fmjmjjfmmjfgdfmggf. What is prob of picking 3 j and 1 g?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2. Let x(v) = -3 + 495*v**2 - 494*v**2 + 54. Calculate x(c(p)).\nAnswer: 9*p**4 + 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/24 and 113\/154.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q**2 + 3*q + 2. Let b be x(-9). Let k be 2\/7 - 184\/b. Sort 1, k, -5.\nAnswer: -5, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*i - 234*i + 2*i**2 - 215*i.\nAnswer: 2*i**2 + 16*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -12880?\nAnswer: -12885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y - 46. Let j(u) = -337*u + 2. Give j(i(x)).\nAnswer: -3033*x + 15504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 4:25 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21802589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 8:08 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q + 28*q = 6. Solve 0 = -5*i - j - q - 12, -i + j - 4 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 47555*z. Let m(l) = -2*l**2. What is b(m(j))?\nAnswer: -95110*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (6*(-308)\/504*-3 - (-4)\/(-2)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -7. Let g = 46.27 - 46. Let d = g + 0.13. Which is the closest to 0.2? (a) o (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629 = -2*n + 1918 - 632 - 641 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 6:50 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) -2\/3 (c) -2\/5 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/717704 and 57\/10.\nAnswer: 3588520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 51 - 29. Let j = a + -20. Solve j - 22 = -5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - 32*g**2 + 217*g + 25. Let n be f(10). Let u(b) = 47*b**3 - 7*b + 5. Let a(m) = m - 1. Calculate n*a(x) - u(x).\nAnswer: -47*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 121 = -94. Let f(l) = 5 + 4*l - 4 + 2*l + n*l - 4*l. Let j(g) = 2*g. Give f(j(w)).\nAnswer: 10*w + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24104122 (base 5) to base 14.\nAnswer: 5b0a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-1*sqrt(153)*-2*-3.\nAnswer: 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -179 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120*i = 83*i + 148 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8468 or 6897?\nAnswer: 8468","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8 = 20. Let q be (t - 3)\/(1 - 2). Let j(d) = 2*d**2 + 5*d - 1. Let h be j(q). What is the highest common factor of 88 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -76*i + 80*i - 58, -3*i = 3*y - 60. Let x(n) = -n - 3. Let v(k) = -8 - 6*k + 2*k - 3. What is y*x(c) - 6*v(c)?\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.092 and 16400?\nAnswer: 1508.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 78403674 + -3.41.\nAnswer: 78403670.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, 0, 1, 3, -3 in descending order.\nAnswer: 8, 5, 3, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -256623, -256147, -255353, -254241, -252811, -251063?\nAnswer: -248997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2012?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 19.4 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 2*o - 12. What is the second derivative of 3*p**3 - 2*p - 2*p**3 + 2*p**o wrt p?\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/482 or -15\/11?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(135)*2 - sqrt(135) - sqrt(15) - ((sqrt(15) - (sqrt(15) - (sqrt(15) - sqrt(135))*-2)) + sqrt(15)))\/(-5*sqrt(192)\/sqrt(4)) + 5.\nAnswer: 3*sqrt(5)\/20 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (((sqrt(360) - sqrt(360)*-1) + sqrt(360))\/(sqrt(200)*1))**2).\nAnswer: -198\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 220\/18 - (100\/45 - 2). Solve -3*x + 2 + 10 = -f, 3*f + h = 3*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -77.1434 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 9*w**2 - 9*w - 7. Let t be c(-8). Which is smaller: t or 8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 6*f**2 - 3*f + 3. Let i be z(1). Is 38 a factor of 0 + i + -2 - -387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(270) + -2*sqrt(270)*-1)\/sqrt(6)*3)\/(sqrt(576)*1*1*-2).\nAnswer: -9*sqrt(5)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 + 15 = -5*b + 1 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1250748.79 to the nearest 100.\nAnswer: 1250700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b. Let h(z) = 1946*z + 21409. Let s be h(-11). Solve 3*m + i + 9 = b, -m = -s*m - 5*i - 6 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-4 + 4 - 32) - (-95 + 99).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -110 divided by 2\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = -w - 61. Suppose -w*m + 70*m = -5*b - 2936, 5*m + 3*b - 4848 = 0. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 16. Let j = -33 + u. Is 2\/6*(344 + j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 5 + (-8 - -1) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1118 + 10045. List the prime factors of y.\nAnswer: 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/14)\/((-6)\/21). Suppose -n = 4*u + 42. Let d = u + 16. Which is the smallest value? (a) -0.5 (b) d (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((0 - 16) + 30) - -24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31.04 - -35. Let i = n + 0.04. Let z = -0.03 + 0.43. Sort -1\/7, i, z.\nAnswer: -1\/7, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*d = 13, 4*d - 10 = -4*u + 22. Suppose 0 = b - u - 4. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 3*d = 0, -4*n - d + 118 - 101 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1122003003 + 10?\nAnswer: 1122003013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 - 26*w**2 + 10*w - 4. What is h(13)?\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -40.545865 rounded to 2 dps?\nAnswer: -40.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 4*n + 9*u - 4*u, -5*n - 4*u - 49 = 0. Let r(g) be the third derivative of -g**6\/120 - g**5\/12 + g**4\/24 - g**3\/6 + g**2. Determine r(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106588 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**5 + 4*i**5 + i**5 + (5*i + 0*i - 3*i)*(i**4 - 3*i**4 + 3*i**4) + (1 - 1 + i**4)*(-16*i - 21*i + 11*i).\nAnswer: -21*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -252, -544, -846, -1164, -1504, -1872?\n\"Answer: -r**3 + r**2 - 288*r + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 140\/25) + (-615)\/(-25). Solve 100*h = 95*h - u for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 - (-5 - 3)\/4. Let j be -2 - u - (-14 + 1). Let v(c) = 2*c + 4. List the prime factors of v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 668, 667, 664, 659, 652, 643?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 480 and 60357?\nAnswer: 9657120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 7*w + 8. Let a be q(-4). Let f be (-5 - (1 + a*-13))\/2. Which is smaller: f or 126?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16418978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 1 + 35 + 1 - (-482 + 494)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4815 is divided by 1598?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than -0.28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42015*g**3*t**2 + 6*g**3*t - 115*g*t**2 + 2*g + t wrt g.\nAnswer: 252090*g*t**2 + 36*g*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are 1206\/397 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = -5*h - 41, q - 4*h = -2*q + 8*q - 47 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78008?\nAnswer: 2, 7, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 73390, 146933, 220476, 294019, 367562?\nAnswer: 441105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3277193 and 4856?\nAnswer: 26217544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-6))\/(3\/90). Let w = -249 + 254. Solve l - w*g + 30 = 0, -5*l - 5*g = -2*l - p for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11.3 + -14.3. Let j = -0.996 - -0.036. Let w = j + -0.04. Which is the closest to d? (a) 1 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -36*a + 851. What is s(24)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 285504, 1142023, 2569554, 4568097, 7137652, 10278219?\n\"Answer: 285506*o**2 + o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t - 6*t - 477*t**3 - 2*t.\nAnswer: -477*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -169, -158, -133, -88, -17, 86, 227, 412?\n\"Answer: d**3 + d**2 + d - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -3, -0.2, 0.17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 87\/2110 and -41\/71740.\nAnswer: 71740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a decade?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 500 + -3.2964133.\nAnswer: 496.7035867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 676741.\nAnswer: 13, 52057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2\/35, -2\/11, -2, 3, -22 in ascending order.\nAnswer: -22, -2, -2\/11, 2\/35, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 2 = 0, -3*t - 18 = -4*b - 0*t for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-28)\/1176*51?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(-1\/4)))**(5\/6)\/(n**(-1\/3)*n*n**4\/n*n*n))\/((n\/n**(-2\/7))\/n*n*n**(4\/3)*n*n*(n**(-2\/13)*n)\/n**6) assuming n is positive.\nAnswer: n**(-11663\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*a + 28690 = 615*a + 4242 - 10495 for a.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6 + 19*b**4 + 57*b**4 + 88*b - 6 - 278*b wrt b?\nAnswer: 912*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 - (10586\/(-8) - (-65)\/52).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19 - 5*d**3 - 19)*(-12*d + d - 4 + 9*d) to f*d + m*d**2 + y + h*d**3 + w*d**4 and give w.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/11 - ((-1)\/4)\/((-24957)\/3132 + 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 35 + 6 + 7 + 30 - 2*z.\nAnswer: -2*z + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -251.787 + 254.787. Suppose -3*b = u - 5, 11 = 4*u - 2*b - 9. Put p, -1, -1\/4, u in decreasing order.\nAnswer: u, p, -1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4 = 0, -6*r + 2*r - k + 455 = 0. Let z(u) = -61*u - 58*u - 3 - 13 + r*u. Give z(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2 + 2\/3*v**3 + 10\/3*v - 1.\nAnswer: (v - 3)*(v - 1)*(2*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pm when two letters picked without replacement from {m: 4, v: 2, c: 1, p: 3, q: 4}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 15, 5*i - 20 = -5*k + i. Suppose k = 5*g - 2*d - 27485, 7*g + 21988 = 11*g + 5*d. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30*n**2 + 168*n - 376\/3.\nAnswer: 2*(3*n - 2)*(15*n + 94)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - b + 2. Let i(k) = k**2 + 7*k - 3. Let m be i(-7). What is l(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/20)\/(117\/156)*(-6 - -16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/2 and -97\/696.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(756)\/(sqrt(12)*3)*1)\/(sqrt(729)*-4*-2*5).\nAnswer: -sqrt(7)\/180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 963608 and 1633?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v - 5 = 0. Let t = 12 + v. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11289276, -11289274, -11289272?\n\"Answer: 2*w - 11289278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 50070056051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/(-301))\/(((-15)\/(-45))\/(35\/9))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y - 6*y - 2*y)*(-6 + 1 + 2)*(3 + 1 + 1) as v + c*y and give c.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/330 and (24\/(-32))\/((-2)\/((-580)\/(-225))).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3 + sqrt(6)\/sqrt(3) + -1 + sqrt(2)*-3*-5 + (sqrt(2) - 1*sqrt(98)))**2.\nAnswer: -60*sqrt(2) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1340131 (base 5) in base 3?\nAnswer: -1101210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -37*a - 2992. Give f(-79).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 608*j - 16689365 = 139*j. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-28))\/(21\/28)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a kilogram in grams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 - 37 + 25*f)*((-10 - 5 + 4)*(-1 + 6 - 3)*(5*f**2 - 2*f**2 - 5*f**2) + (0 + 2*f + 0)*(-2*f + 5*f - 2*f)) to v*f**3 + a*f + h*f**2 + p and give v.\nAnswer: 1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 349863713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (-47 + (-8 - 7 - -39))?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*l - 4 = 41*l. Suppose -10 = -l*d + 2, 0 = 3*h - 4*d + 3. Solve 11 = 4*y - b, 8*y - 19 = h*y + 3*b for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 0.4, -3\/7, -1\/3 in decreasing order.\nAnswer: 18, 0.4, -1\/3, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwlulgmmlglg. Give prob of picking 2 l and 2 m.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.92937 to zero dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**8\/3360 + u**5\/60 - u**4\/12 - 3*u. Let g(b) be the third derivative of p(b). What is the first derivative of g(z) wrt z?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 23*p**2 + 95*p + 10. Give z(-18).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911677365.\nAnswer: 3, 5, 20259497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 5) to base 7.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 7*w - 4. What is f(4)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -3839.166 to 0 dps.\nAnswer: -3839","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 167664\/112275 + 8\/(-50)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 + (-38 - (-175 - -112))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 5. Let r = 14 + -9. Let o(i) = -i**2 + 4*i - 5. Let v be o(4). Let s = v + r. Determine t(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 463*k - 1583 + 5241 - 751 = -3112 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*z - 6*z. Calculate the remainder when z is divided by (-3)\/(2 + 1) - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -14, 2, 24, 52?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 121 = -5*v, -23*b + 20*b - 4*v = -164. Calculate the greatest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2328248 by 1586.\nAnswer: -1468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -5365*l**8\/56 - 2317*l**4\/12 + 274*l - 2. What is the third derivative of a(n) wrt n?\nAnswer: -643800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79 and 553.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of -g**4\/8 - 287*g**3\/6 - 705*g**2\/2 + 7279. Factor w(f).\nAnswer: -f*(f + 5)*(f + 282)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6808.994921 - 6809. What is k rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91, -116, -65, 5 in decreasing order.\nAnswer: 5, -65, -91, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 + 196*w**2 - 141*w - 416. Calculate the remainder when 419 is divided by j(-66).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 159*k + 2 - 3 - 6 - 156*k. Let f(w) be the first derivative of -3*w**2\/2 + 6*w + 41. Calculate -6*f(s) - 5*i(s).\nAnswer: 3*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/9 - 2788*n**2\/9 + 8350*n\/9 - 5564\/9 = 0. What is n?\nAnswer: 1, 2, 1391","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 3309733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-10)*(-350)\/(-525))\/((-78)\/(-104))?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 127486195*c - 364469832.\nAnswer: 127486195","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.147 + -0.147. Let p = -21 + r. Sort p, -4, 1, -5.\nAnswer: -5, -4, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -593029996 to the nearest one million.\nAnswer: -593000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 433*(-48)\/(-24)*(-1)\/2. Let z = k - -829. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at most as big as 106\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -777*d - 784*d + 1562*d + 0 - 5. Let v = 118 - 102. Give s(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-9))\/(2*2))\/((-50)\/1500)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2211 <= -2222?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert a0 (base 13) to base 14.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 + 3*g**2 - g - 2. Determine b(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13107 = -4*p - 13099 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*y + j, 8*y + j - 13 = 3*y. Suppose -311*d = -312*d + 2. Find the second derivative of 0*z + 6*z - 8*z**3 + y - d wrt z.\nAnswer: -48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, l: 7, h: 7, u: 3}. Give prob of sequence lhl.\nAnswer: 49\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-1 + -1 - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**2 - 103366026*m - 2671133832758169 = 0.\nAnswer: -51683013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/(-2)*15\/((-1275)\/(-34)))\/(-3). Factor -152\/3*n + 8\/3 + 722\/3*n**z.\nAnswer: 2*(19*n - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05438804 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 4*w**2 + 7*w - 5. Let r be b(5). Suppose -2*f - r*t = -4, -3*t - 2*t = -10. Let u = -7 - f. Put 1, 2, u in increasing order.\nAnswer: u, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 1 + -9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 4. What is the nearest to 2\/5 in -1, -2\/5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - -2*sqrt(117))*-6)\/(sqrt(1089)*-1).\nAnswer: 18*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14, 49, 184, 391?\n\"Answer: 36*v**2 - 45*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 2*w = -6548, -11288 = -5*q + 2*w - 3101. Let v = q + -1134. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53345 (base 9) to base 3.\nAnswer: 1210101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - r = 438, -17*u + 2*r = -18*u + 435. What is the remainder when u is divided by 110?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6020688km to millimeters.\nAnswer: 602068.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 37 = 3*g, 3*y - 18*g + 14*g = -23 - 18 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.3 * -1220.\nAnswer: 4026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -2*l**3 + l**2 - 33*l + 19885. List the prime factors of q(0).\nAnswer: 5, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 56 - 43. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 191817*t - 575454. Calculate y(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-3)*6 - (124 + -121)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1255*g**3 + 871*g**3 - 1576*g**3.\nAnswer: 550*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -20063\/29 at most -692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3941*d**2 + 3*d + 3. Is t(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(385\/(-14))*-105*(-48)\/(-56)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 2*t - 2943882, -11*t - 5*u + 21698283 - 5506956 = 0. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 2*f - 8 = 0. Let v = f - -2. Let w(x) = 2*x + v*x - x - 3*x. Let l(y) = 13*y. Calculate l(w(q)).\nAnswer: 26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 330*o**2 + 16*o + 27?\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9*i*p - i + p**2 - 18*p + 3 wrt p?\nAnswer: 9*i + 2*p - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 11*u + 2. Determine n(9).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1359774 divided by -169.\nAnswer: 8046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(132)*1 + sqrt(132)))\/(sqrt(1728) + sqrt(1728)*2).\nAnswer: -2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 times 219670?\nAnswer: -10763830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1196 and 884.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -462 + 294. Let k = 173 + g. Solve -k*z + z - 16 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2)*(10 - 10 + 296*r + 243*r).\nAnswer: -2156*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1313 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04 in 3\/7, -6.1, -11, -0.6, 58?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-768))\/(2\/18).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 z, and 1 b when four letters picked without replacement from {g: 4, z: 2, e: 1, b: 3, x: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4323808 to the power of 1\/4, to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, h: 9}. What is prob of sequence php?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -157 + 142. Let q be (0\/l*1\/(-4))\/(-1). Solve q*y + 20 = 4*y, -2*u - y + 9 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 345*a - 107*a - 1652 + 15158 = -8152 for a.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 + 6. Suppose i*o - o - 6 = 0. Let t be (16 - (21 - (19 + -8))) + (-1)\/1. Solve -o*n + t = 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/m**(-2)))\/m**(-4\/3))\/((m*m*(m\/(m**(-1\/7)\/m)*m*m)\/m*m)\/m**2) assuming m is positive.\nAnswer: m**(-101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*f**3 + 2*f**3 + 5*f**3 + (1 - f - 1)*(-f**2 + 2*f - 2*f) + (8*f**2 + 4*f**2 - 4*f**2)*(2*f + 2*f - 2*f) to w*f**2 + b*f**3 + o*f + g and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 3*h + 4*d = -68, -29 = -2*h + d. Suppose 0*z + 4*z - h = 0. Suppose 2\/7*k**z - 2\/7*k - 2\/7*k**4 + 2\/7*k**2 + 0 = 0. Calculate k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 27 - 0 - 3\/(-1). Suppose -3*l = -l - r. Solve 0*w = 5*w - l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -696 or -624?\nAnswer: -696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -256*b - 770. Let k be l(-3). Let y(c) = -2*c**3 - 3*c**2 + 8*c + 16. Determine y(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 354 - 351. Solve -5*k + 0*k + 5 = -d, -i*k + 3 = -4*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 - 4*m - 4. Let l be z(5). Calculate the remainder when (-5)\/(-2 + l)*15 is divided by -26*2*51\/(-102).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhkkkkkhhn. Give prob of picking 2 h and 1 u.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = z - 2*m, 4*z - 2*m = 14. Solve 5*o = -z*s - 35, -s + 2*s - 2*o - 5 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 1:46 AM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -3*a**6\/40 + 35*a**4\/24 - 6*a**2. Find the second derivative of f(x) wrt x.\nAnswer: -54*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4.94. Let v be (-10)\/15*(-8)\/(-16). Put v, m, -1 in increasing order.\nAnswer: -1, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2467*-1.6.\nAnswer: 3947.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**5\/2 - 152839*z**4\/2 + 76420*z**3.\nAnswer: -z**3*(z - 1)*(z + 152840)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6092\/124 + (-2904)\/22506?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -748, -2959, -6644, -11803, -18436?\nAnswer: -26543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, b: 3, k: 1, q: 5}. Give prob of sequence kqaq.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 180\/91, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3115*p**2 - 38812*p wrt p?\nAnswer: 6230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o - 160 = 15*o. Suppose 2*c + o = 5*w, c - 22 = -5*w + 3. Suppose 0 = -r + 14 + w. What is the least common multiple of r and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 36446111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/21 and 8\/705.\nAnswer: 4935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0*x**(-5\/3)\/x)\/((x\/x**(-2))\/x)**(2\/3)*(x*x\/(x\/x**0*x))\/x**(-3\/7)*(x**0\/x)**3 assuming x is positive.\nAnswer: x**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 5*f**2 + 6*f. Suppose 2*q + 0*q = 12. Let o be s(q). Suppose y = -o + 2. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 35*j + 22. Let t be b(-6). Let u = t + 330. What are the prime factors of u?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 11) to base 13\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1204 or -1203?\nAnswer: -1203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-93 + 63)*68320\/6. Round d to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*w**4\/w))**(1\/18)\/(w**(-2\/21)*w**(-1\/8)))**(3\/5) assuming w is positive.\nAnswer: w**(9\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 713 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -24. Let l(r) be the third derivative of 0*r + 0 + 4\/3*r**3 + 1\/24*r**4 + 5*r**2. What is l(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 261 divide 433897362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24986 is divided by 132.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125123 is divided by 40?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p - 922. Let w(z) be the second derivative of -z**4\/6 + 85*z - 6. Give v(w(m)).\nAnswer: 4*m**2 - 922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4.9, -0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211 - -2020?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 14) to base 16\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 506, 2426, 6532, 13586, 24350, 39586?\nAnswer: 60056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -45.216 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 + 5*n - 6. Let p be k(3). Solve -2*y = -0*y - 5*r - 19, p = -4*y + 2*r + 14 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 + -5 + 5 + -4 + 10 + -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26 - 23 - (-18 + 2) - -5 - (6 + 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 19*j - 191. Let i be n(11). Calculate the greatest common factor of i and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 5*y - 3, 2*h - 2*y = 79 - 77 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/165 and 59\/90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 544\/10*((-3780)\/24)\/(-21). Let d = k + -404. Solve -d*t - 6 - 2 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j - 48 = 0. Let h be -1 - ((-3)\/(j\/3644) + -2). Let t be (-2)\/(-5) + (-1316)\/h. Which is smaller: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -50926 - -257?\nAnswer: -506ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 + 9 - (11 - -26).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 73\/2? (a) 1 (b) 4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4004344133 (base 5) to base 15.\nAnswer: a5c02d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, -5, 2, -1, -114, 1 in increasing order.\nAnswer: -126, -114, -5, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -42594809, -42594792, -42594775, -42594758?\n\"Answer: 17*t - 42594826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7612 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(1\/2*2). Let z = 1.6 + -1.4. Which is the closest to -1? (a) z (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 + -87. Let k(o) = 0*o + 0*o - i*o**2. Let z(m) = -2*m**2. Give k(z(c)).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, o: 1, p: 1, z: 1, f: 2, s: 1}. What is prob of sequence zifi?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:42 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10 and -18.47046514.\nAnswer: -8.47046514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 319165893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84387 is divided by 14061?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 10 = 2*u, 0 = 199*u - 194*u - l - 22 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 420533584?\nAnswer: 2, 26283349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 k when three letters picked without replacement from xbkkbkxkbvvkbwk.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -4. Suppose 0 = b*y - 0 + 4. Is (y - 0) + 20\/1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**3 - 72*u**2 + 1513*u + 3. Give q(-89).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19\/2 + -9. Sort -1\/7, i, -4, 2.\nAnswer: -4, -1\/7, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 471 divide 2027395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*p - 6 = 0, 2*q + p = -0*p + 6. Let i be ((-8)\/10)\/((-6)\/15). Let w be 1\/(-2)*-2*3. Solve -w*o = -y - 8, q*y - 17 = -i*o + 5*y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86724.7 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 6*m + 4. Let r = 2 + -2. Let h be 21\/6*(r - -2). Is d(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05766004 to five dps.\nAnswer: -0.05766","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -2258.89 to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98703 and 46859.\nAnswer: 4639041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*a**4 - 938830*a**3 - 208628*a**2.\nAnswer: -2*a**2*(a + 52157)*(9*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5565 - 5583.4. Round s to one decimal place.\nAnswer: -18.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3 - 2 + 0 + 1 + (4 - 5 + 0)*(-4 - 1 + 3) - 1 + 4 - 1 + 1 + 4 - 3 + 0 + 3 - 5)*(-2 - 2*u + 2).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((((p*p\/(p\/((p\/(p*p**(-9)*p))\/p)*p)*p*p)\/p)\/p)\/p)*p*p**(-5)\/p)\/(p*p**(-24)*p\/p**(2\/77)) assuming p is positive.\nAnswer: p**(926\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 40 + 12*r + 21 - 4 + r. Let j be l(-4). Solve -4*y = -9*y - j for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38 + b?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -20*y + 39. Calculate the least common multiple of 22 and y.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 803, 3, 10, 1, 54, -2 in decreasing order.\nAnswer: 803, 54, 10, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 881085345?\nAnswer: 3, 5, 7, 8391289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-3 + (5*-6*-5*sqrt(162)*-1)**2 + 3).\nAnswer: -7290000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u + 6*u**2 + 3*u**2 - 3 - 11*u**2)*(-2 + u + 2).\nAnswer: -2*u**3 - 4*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or -584\/207?\nAnswer: -584\/207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(187\/17)\/11)\/((-3)\/(-29))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-3)\/9)\/(2\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 84137?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 3*h + 5 = 0. Let v = 3 - h. Solve 12 + v = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000212410329 to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(((-6)\/(-8))\/(-3)). Let p be 99*(-2 + 32\/l). Let h(t) = t**2 + 9*t - 1071. Let f be h(30). What is the highest common factor of f and p?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9298, -18599, -27902, -37207, -46514, -55823, -65134?\n\"Answer: -l**2 - 9298*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 360442 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f. Let x(k) = 3*k + 303. Let h(g) = g + 101. Let b(o) = 11*h(o) - 4*x(o). Determine w(b(v)).\nAnswer: -2*v - 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 2*m**2 + 2*m - 4. Let r be l(4). Let u = 387\/2 + -210. Find the common denominator of (74\/r)\/((-1)\/(-2)) and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7286 (base 12) to base 6.\nAnswer: -133450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.9 + 4148?\nAnswer: 4145.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263 is divided by (1 - (-6 - -11))*(-192)\/8.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(6*(-32)\/320)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -4.3. Let z = 813 - 808. Sort d, 3, z.\nAnswer: d, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*q**2 + 0 + 0 + 7*q - 6*q to f + s*q**2 + d*q and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from inrnrcccc. What is prob of sequence rccn?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.8 (b) -0.3 (c) -1.6 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 8 + 3*u + 2*u - 4*u. What is the units digit of d(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.3 + 0.3. Which is the second biggest value? (a) s (b) 4 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15092, -60371, -135842, -241505?\nAnswer: -377360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 5*n = -1, 84 = -5*g + 2*n + 187 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -307 and 14240.\nAnswer: -4371680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1354 divide 3524097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2269656598?\nAnswer: 2, 11, 41, 2516249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b. Let u be (-2)\/(10\/(-15)) + -1. Let y(j) = -31*j**2 + 62*j**2 - 30*j**u. Determine y(k(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4545\/11 - 413. Let f = -0.1 + 0.1. Let x = -41 - -42. Which is the biggest value? (a) x (b) f (c) -0.2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4120*z**3 - 18331*z**2 wrt z.\nAnswer: -24720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17121500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {s: 11, e: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 276 + 744 = 0. List the prime factors of q.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3691502?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from vrvvrvrvvrrvr.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46027 is divided by 197?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(540) - (3*sqrt(540) - sqrt(540))*4) + sqrt(540)))\/(1*sqrt(108)*-4 - 4*(sqrt(108) - 2*sqrt(108) - sqrt(108) - sqrt(108))).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*x**3 - 4*x**3 + 114*x**3.\nAnswer: 64*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/27 and 16\/11?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssssssshshhshssssss. What is prob of sequence ssh?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1512 and 2656395.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 301352481 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-594)\/(-66) - (-3833 + (-5 - -9)). Calculate the greatest common factor of 114 and j.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10484 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 117 + -97. Calculate the highest common factor of 35 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*f**2 + 1 - 16*f**4 - 4083*f**3 + 4*f**4 + 4081*f**3 in the form y*f**4 + o*f**3 + m + x*f + l*f**2 and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j**2 - 5*j**2 - 1 + 4*j**2 + 0.\nAnswer: -6*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -14*w + 389. Let b(d) = 17*d - 774. Let v(n) = -6*b(n) - 11*k(n). Calculate v(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16408, 16418, 16428?\nAnswer: 16438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71991 and 74517?\nAnswer: 1263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -6. Let r = -4.8 + 27.8. Let s = r - 22.6. Which is the smallest value? (a) i (b) s (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 19*d + 25. Let l be n(-1). What are the prime factors of (l + (-3955)\/(-15))*3?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 42 = -36. Suppose -b - b = -l - z, 3*l + 5*b + 95 = 0. Is -34 at least l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7 = q + 9, -3*c = 4*q - 11. Suppose -8*o - 13 = m - 3*o, 4*o + 2 = -5*m. Let w be 4*((-714)\/356 + m). Which is smaller: w or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37370274 a multiple of 467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 + 362\/7. Sort -0.4, w, 0.27, -2\/15 in increasing order.\nAnswer: -0.4, w, -2\/15, 0.27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136669400 rounded to the nearest one hundred thousand?\nAnswer: 136700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 30 - -1)\/(-1). Suppose 2*i = 2*z - 3*z + y, -5*z = 4*i - 115. Suppose -3*w + z = -4*c, -c + 0 = 5*w - 1. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000101111111011011000 (base 2) to base 14.\nAnswer: -c0c4c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 + -c606?\nAnswer: -c5b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p**3 - 2*p**2 + 4*p + 4. Let j be r(-4). What are the prime factors of (-1)\/((20\/j)\/(-5))?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/48*54 + 9\/(-3).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11\/10, 2\/7, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -63 (base 12) to base 8\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sd when two letters picked without replacement from ssdssrdsdrss.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, t: 6}. What is prob of picking 4 d?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**3\/5 - 9307*v**2 + 540421328*v\/5 + 22235568704\/5 = 0.\nAnswer: -41, 23288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w\/(w*w**(1\/4)*w))*w**(-11)*w)\/(w\/w**(-31)*w**(-2\/49)) assuming w is positive.\nAnswer: w**(-7783\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9054 - -9060. Let w(h) = -31*h + 196. Determine w(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -267, -270, -265, -246, -207, -142, -45, 90?\n\"Answer: j**3 - 2*j**2 - 4*j - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*o + o - 4*o + (-3 + 1 + 3)*(0*o - o - o))*(-3 - 2*o + 3).\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2. Let i(n) be the second derivative of -325*n**3\/3 + n**2\/2 + 11*n - 117. Give i(p(b)).\nAnswer: -1300*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-12))\/((-10)\/6). Let o be (-2)\/(-8)*(-16)\/5. Let y = 670.1 + -670. Which is the closest to y? (a) i (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/2)\/(1\/4). Suppose 5*m = -3*s + 20, -4*s = 6*m - 4*m - 22. Suppose -s*g = -2*g + 5*d - 25, 0 = 3*g - 4*d - 7. Solve w*i = i + g for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/4)\/(12\/328). Suppose -l - n = -2*l. What is the remainder when l is divided by (2 - 8)*(-14)\/6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53411.\nAnswer: 53411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*o - 673*o + 1914 = -1194*o for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -40\/33 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 5*n = 23, -22 = -2*f - 7*n + 12*n for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -233878?\nAnswer: 233880","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -17 - (1 + 9). Solve -19 + s = -7*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1114114 is divided by 949?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/5 + 3*(-28)\/180. Let s = -1 - -1.1. Let y = -0.3 + s. What is the nearest to o in y, 0.5, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1287996)\/(-8) + (1 - (-2)\/(-4)). Round p to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52290835 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44839 is divided by 22387.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 2*z - 1 + 26*z**2 + 2 - 18*z**2 - 8. Determine d(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 652353 is divided by 743.\nAnswer: 742","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13899 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - g = -2. Let t(j) = -41*j**2 - 9*j - 7. Let z(m) = 20*m**2 + 4*m + 3. Let q(y) = 2*t(y) + 5*z(y). Is q(g) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/16)\/(2\/2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/10))\/d)\/(d*(d*d**(-7)\/d*d*d)\/d*d)*(d*((d\/d**(-1\/4))\/d)\/d*d)**(-44) assuming d is positive.\nAnswer: d**(-509\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p. Suppose -4*u = 3*u + 1932. Let j be (6 - u\/(-42))*7\/(-2). Let r = j - 3. Let q(d) = -4*d + 3. Calculate r*q(f) + 2*c(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 5*s - 2, -3*j + 6*j = 4*s + 6. Let w be ((-6)\/(-9))\/(j\/6). Solve 3*d + 5*t + 0 = 2, -2*d + w*t = -12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of z**5\/120 + 11*z**3\/3 - 2. Let f(l) be the third derivative of i(l). Let w(s) = 3 + 149*s - 125*s - 3. Determine f(w(m)).\nAnswer: 24*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/35)*r**11)\/(r**(-5\/7)*r**10))**(-32) assuming r is positive.\nAnswer: r**(-1856\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3611\/25081 - 4\/3583. Factor 0 + 3\/7*s**3 + 3\/7*s**4 + 0*s + m*s**2 + 1\/7*s**5.\nAnswer: s**2*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 398380\nAnswer: 1\/398380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -3782.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 596, -7, 5 in descending order.\nAnswer: 596, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17383*f**2 + 8695*f**2 + 8687*f**2.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61788 - 15014519\/243. What is the common denominator of f and -56\/297?\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 8, o: 2, q: 2}?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, n: 12, m: 2}. Give prob of picking 3 l.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 114 in 2, 3, -202, -2\/3, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3692, 7361, 11030?\n\"Answer: 3669*k + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4619 - 3.5381. Which is the third biggest value? (a) 0.5 (b) -3\/10 (c) r (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: -2.6433331 - 76.66027\nAnswer: -79.3036031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 2939\/3*(31 + -28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l = -10, -h + 13*l - 11*l - 7 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 divided by -7032.\nAnswer: 19\/1758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n - 2. Suppose -7*d + 3*d = h - 5, -3*h = -5*d + 19. What is the lowest common multiple of 8 and q(h)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13265*i - 13260*i + 5*k - 160 = 0, -3*i + k - 16 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29038699 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, 0, -3, -214, 1267, 1 in descending order.\nAnswer: 1267, 2, 1, 0, -3, -4, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 59278967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5*v. Let a(q) = -10*q. Let t(z) = 2*a(z) + 5*h(z). Let d(m) be the first derivative of 2*m**3\/3 - 8. What is t(d(o))?\nAnswer: 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v**2 + 7*v + 2. Let t(y) = 3*y**2 + y - 1. Let a(o) = -j(o) + 3*t(o). Let u = -8 + 14. Determine a(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/15)\/(2*(-4)\/48*-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 699431554 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7663*s**3*t**3 - 2*s**3 - 43383*s**2 + 43*s*t**3 + 197*s*t**2 - 309*t - 2 wrt s?\nAnswer: 45978*s*t**3 - 12*s - 86766","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 30*w + 81. Give o(8).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -1.79 (c) -56\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + z = 10313 - 2513, -2*o + 7796 = 2*z. What is the hundreds digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 3:22 AM?\nAnswer: 2:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -449*f + 278*f = 4*r - 44, -44 = -4*r - 4*f for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-1 - 6) - (1980\/(-45) + 44)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 168, 789, 1820, 3255, 5088, 7313?\nAnswer: 9924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 31396*d**3 - 67*d**2 + 19*d?\nAnswer: 188376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 0 + 4 + sqrt(243))*5)**2 + (sqrt(75) - (sqrt(75) + 1*sqrt(75))**2) + (sqrt(300) - (2 + sqrt(300))).\nAnswer: 3605*sqrt(3) + 24398","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 11. Let j(u) = -8*u**2 + u**3 - 14*u**2 - 5*u + 35*u**2 - 13. What is the remainder when j(n) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c + 2 + 3*c - 6 + 2. Give h(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (65\/(-26) - 108\/(-40))*1. What is the smallest value in 1\/7, -6\/17, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 15 = -35. Let k(y) = y**2 + 6*y + 6. Give k(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 94296 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 10, t: 10}. Give prob of picking 4 t.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 232 and 5742?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166407 is divided by 16639.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l*l\/((l\/l**(1\/5))\/l))\/l**(-3))\/(l**(2\/17)\/l**(-2\/19)) assuming l is positive.\nAnswer: l**(11268\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 501*q - 9954. Calculate m(21).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/((-60)\/42) - 14. Is 9 + -7 + 1171 + i a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 6*c + 4*c)*(-c - 20*c + 4*c + (4*c - 3*c + c)*(3 + 0 + 1) + 13*c + 5*c - 3*c).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 26*j - 10. Let s(y) = 2*y. Determine r(s(b)).\nAnswer: 52*b - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 34 = 23*t, -57*r = -53*r + 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0091032065 rounded to 4 dps?\nAnswer: -0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.3143 * 45.3\nAnswer: -14.23779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 110857 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = d + d. Is d\/4 - 1269\/(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11818 (base 11) to base 15\nAnswer: -5059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -536\/45 - -100\/9. Let r = -0.5 + 3.5. Which is the nearest to -0.1? (a) r (b) -4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17114.4 + 17092. Is 36 bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(5\/3))\/u**(-29)*(u*u**(-13)\/u*u*u)\/u*u\/(u\/u**(-25))*u assuming u is positive.\nAnswer: u**(-23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 234 - 1170?\nAnswer: -835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmm when three letters picked without replacement from {m: 2, u: 17}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 2 l, and 1 m when four letters picked without replacement from xlxxxlmxmxxh.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k - 4*p = 43*k + 9 - 1, 5*k - p = 169 - 167 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.44, 5, 0, 13914, 1\/4?\nAnswer: 0.44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = y - 3*a, -2*y - 9 - 8 = 2*a - 15 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3187 + -1202. Let k = 2389 + h. What is k rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25.3 + -0.3. Let o = -17389.5222031 + 17414.5222. Let v = d - o. What is v rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-2))\/(-48 - 372\/(-12)). What is the nearest to -1 in -3.3, j, 22\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h**2 - 3*h + 3*h)*(-h + 4*h - 4*h) - h**3 - 5*h**2 + 5*h**2 + (-1 - 2*h + 1)*(4*h**2 - 5*h**2 + 0*h**2).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*n = n + 834, 4*m - 5*n = 842. Suppose -4*z - 160 = -5*j + j, -5*j + m = -z. Calculate the least common multiple of j and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2aa17 (base 12) in base 6?\nAnswer: 1142431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1913.4 + -19467.6926\nAnswer: -17554.2926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1263102\/5 or 252619?\nAnswer: 1263102\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -3484?\nAnswer: 1\/1742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7018549.\nAnswer: 7018549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of -r**4\/12 - r**3\/6 + 3*r**2\/2 + 6*r. Let y be u(0). Solve 10 = -3*w + z, -14 = 4*w + y*z - 5*z for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 764346 + 630?\nAnswer: 765176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -573*t - t**3 + t**2 + 23*t**4 - t**2 + 573*t + 7 to the form x + h*t**4 + b*t**2 + d*t**3 + p*t and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -481, -3911, -13259, -31495, -61589, -106511?\n\"Answer: -495*l**3 + 11*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18963*m**2 + 9285*m**2 + 4*m**3 + 9678*m**2.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -85705 - -450895. Round q to the nearest 1000.\nAnswer: 365000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x - 10*x**2 + 143*x**2 - 85*x**2 + 15. List the prime factors of n(-3).\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7426356299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -621832*i**4 - i**3 + 952*i**2 + 1978*i + 4 wrt i.\nAnswer: -14923968*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.337, -3.5, 1\/4, -0.3, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 11442034251?\nAnswer: 11442034300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 - -34. Calculate the lowest common multiple of 4 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21)\/(-9 + 2) + 1 + -1. Let b = 1 - 1. Suppose 0 = 2*g + f*c + 9, -3*c - 9 = -b*g - g. Which is bigger: g or -1\/4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of a**5\/15 - a**4\/12 - 2*a**3\/9 + 1. Solve k(p) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*95 + (-4 - -7). Suppose 3*q + 35 - k = 0. Is q a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.1 (b) 1565\/2 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is d0 - -4553?\nAnswer: 4623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2170 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 215947.44971.\nAnswer: 215945.44971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 177*a + 600 = 187*a. Let z be 3\/(-5) + 156\/a. Solve -z*h - 2*v = -5*v + 17, -3*h - 4*v = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27192309 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 166207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2937259\/64 - -45896. What is the common denominator of -23\/24 and y?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*m + 13. Suppose -m*p + 2*p - 494 = 0. What is the common denominator of 89\/8 and p\/72 - (-15)\/60?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 c when three letters picked without replacement from {c: 2, l: 1, s: 2, v: 6}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d + 34. Calculate s(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137342*n**2 + 162340*n**2 - 102808*n**2 - 85590*n**2 + 159662*n**2.\nAnswer: 270946*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of v**6\/105 + v**5\/35 + v**4\/42 - 7*v. Factor m(y).\nAnswer: 2*y**2*(y + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3684 is divided by 1193?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4075180475?\nAnswer: 5, 163007219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = -137*d + 119*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000404 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/135*5*-3*-6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/3 + 4*s**3 + 341*s**2\/3 - 124*s - 700\/3 = 0.\nAnswer: -14, -1, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f - 22. Let u = -29 - -40. Let j be w(u). Let m = j - -19. List the prime factors of m.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {j: 1, g: 1, o: 4, m: 7, f: 3, w: 2}.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 6*h**2 + 2*h**2 + (-10*h + 14*h + 10*h)*(6 - h - 6) to the form s*h + g*h**2 + a and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7790990 is divided by 486.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1200384225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -195*d - 10968. What is s(-56)?\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 2*k**3 + 4 - 869*k**3 + 23266 - 23266 + (k + 3 - 3)*(-2*k**2 + 5*k**2 - 2*k**2) - k**3 + 2*k**3 + k**3.\nAnswer: -868*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 3:46 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 28*k**2 + 53*k - 22. Let m be f(26). Which is bigger: 14 or m?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*l = 0. Suppose -21*j + 30 = -16*j - 2*t, 5*j - t = 25. Solve 20 = -l*x - j*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 2 = -w, -2*w - 4 = -4*w - 4*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**7\/315 + s**6\/108 - s**5\/180 + s**3\/2 + 4*s. Let u(j) be the second derivative of w(j). Factor u(m).\nAnswer: -2*m*(m - 1)*(4*m - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + q + 51 = 0. Let g = q + -15. Suppose 11 = t - r - 29, g*t - 84 = 3*r. Is t a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b. Let i(n) be the first derivative of 769*n**3\/3 - 741. Determine i(r(x)).\nAnswer: 769*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10232 and 60328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**2 + 37*n - 105. List the prime factors of j(-26).\nAnswer: 3, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*3 + 166\/(-166)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 - h + 25. Let x(q) = -1. Let l(w) = p(w) + 5*x(w). Does 7 divide l(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/130 and -99\/475982.\nAnswer: 2379910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**5 + 12*s**4 + 6*s**3 - 112*s**2 + 24*s + 288 = 0.\nAnswer: -2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 9, -2\/49, 3\/8, -0.09 in decreasing order.\nAnswer: 9, 3\/8, -2\/49, -0.09, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11224 + 22143?\nAnswer: 33422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/159105 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/4*(20\/(-14))\/((-10)\/70). Solve 1 - y = -12*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7594 is divided by 90?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-19)\/28*138\/(-1311). Which is the fourth smallest value? (a) 0.2 (b) 2.6 (c) 2\/5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -315.626 - -316. Let o = j - 0.774. Which is the fourth biggest value? (a) 0.03 (b) o (c) -1\/4 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5 - 623*g**4\/3 - 508*g**3\/3 + 242*g**2 + 514*g\/3 - 103\/3 = 0.\nAnswer: -103, -1, 1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 5*n - 6 = 0. Let y = 12 + n. Solve -2*b - b = y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 - 29*q - 41. Let w be g(11). Factor 0*x**2 - 2\/7*x**4 - 4\/7*x**w + 2\/7 + 4\/7*x.\nAnswer: -2*(x - 1)*(x + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2121 divided by -880.\nAnswer: 2121\/880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 18*i + 59. Let w be z(21). Let o be -1 + (w - -3)*-16. Solve 4*f = f + 3*d - 15, 3*f = -5*d - o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q + 9. Let r be j(-9). Let f(w) = 2*w**3 - 4*w**2 + 3*w - 2. Let m be f(2). Let t(b) = r*b - 3 + 0*b - 2*b - b**2 - m*b. Determine t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6664 to two dps.\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 5)*((-n + 0*n - n)*(7 + 13 - 8) + n + 4*n - 4*n + (1 + 2 - 1)*(-2 + n + 2) - 2*n - n + 2*n + 3*n + 0*n - n).\nAnswer: 120*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1900) - (-5 + ((sqrt(1900) + sqrt(1900)*2)**2 - sqrt(1900))))*-3.\nAnswer: -60*sqrt(19) + 51285","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1042854028 a multiple of 596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/3 + 445*t**2\/3 - 8564*t\/3 - 398460.\nAnswer: (t - 58)*(t + 45)*(t + 458)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49020, -98074, -147200, -196434, -245812, -295370, -345144, -395170?\nAnswer: -445484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1714, -3 in decreasing order.\nAnswer: 1714, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**3 - 22248*r**2 + 510387*r - 1996110.\nAnswer: 3*(r - 7393)*(r - 18)*(r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-7))\/(h**(-3\/5)*h*h)*(h**(-1\/4))**19 assuming h is positive.\nAnswer: h**(37\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.488+-630724858\nAnswer: -630724858.488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 8016.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 + 13. Let k be -3*2*(-4)\/6. Let m be 1\/k - (-5)\/(-20)*-1. Which is the nearest to m? (a) 2\/11 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f = 21*f - 5093. Suppose 2*b - 66 = 4*b. Calculate the remainder when f\/b + 1\/(-3) is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bvdd when four letters picked without replacement from {d: 2, b: 3, a: 3, v: 2, w: 1, h: 7}?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 759618 and 6642.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9*(-33)\/(-9) + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzciooifzifcczo. What is prob of picking 2 f?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2\/5 + 12272*o\/5 + 9412624\/5.\nAnswer: 4*(o + 1534)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 318800 or 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 133, 186, 243, 298, 345, 378?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -20*f**4 + 256*f**3 - 820*f**2 - 6848*f - 8128. Let y(l) = -7*l**4 + 85*l**3 - 273*l**2 - 2282*l - 2710. Let k(j) = 3*h(j) - 8*y(j). Factor k(v).\nAnswer: -4*(v - 13)**2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(660\/11)*11\/(-77)\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o - 0. Suppose 2*t = 2*g - o - 11, -2*t = 2*g - 32. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196 + -39. Let g = 284 - h. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2508165 and 3876255.\nAnswer: 42638805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 + 0 - 1 - 7 + 0 in the form b*g**2 + y + f*g and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47260814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1755*x + 1643*x - 1219 - 1431 + 410 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 30 = 33 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*n - 9. Suppose 4*g - 25 = 5*k, 2*g = -2*k - 5 - n. Let b be (2\/6)\/(3\/18). Put 4, b, k in ascending order.\nAnswer: k, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -10*d - 12. Let s(j) be the second derivative of j**3\/6 + j**2\/2 - 2*j. Let l be -3*10\/(-3) + 2. Let m = 323 + -322. Calculate l*s(w) + m*f(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((225\/1225)\/(-9))\/((-4)\/42). What is the closest to 3\/19 in -2\/3, f, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*d - 19, 8*o - 3*o = -3*d + 16. Let f be (-6)\/(-15) - (-48)\/o. Suppose 12*l = 14*l + f. Put 5, 2, l in increasing order.\nAnswer: l, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -179*m + 4215. Calculate z(20).\nAnswer: 635","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -765155 - -1?\nAnswer: -765154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 16 = -3*q. Let l be q\/(-10)*(-5)\/(-2). Let s = l + -1. Solve o - 2*j - 6 = -s*o, 2*j = -2 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 86552 = -6*y + 5*y, 5*w + 5*y = 144300. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t - 13. Let g = 95 + -85. Let p be x(g). Let f be (-1)\/2 - ((-43079997)\/2)\/p. Round f to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 7:09 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 7*a**2 + 4*a + 14. Determine u(8).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 216.876 - 217. Let d = q + 86.124. Is 0 greater than or equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1122 (base 11) in base 16?\nAnswer: 5c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 292743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -670261, -2680775, -6031631, -10722829, -16754369, -24126251, -32838475?\nAnswer: -42891041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 890 and 42898.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) 1\/7 (c) 1\/3 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*2\/(-24) - ((-34)\/4 + -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8616495 and -8616500 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/16406260 and 23\/390.\nAnswer: 49218780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56011?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8 = 2*s - 0, -3*s + 2*g + 13 = 0. Suppose 143 + 207 = -s*q. Let m = q - -70. Solve 20 = -m*f + 4*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000272 to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1473*z - 1493*z - 140 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*t - 52 = -597 - 1345 for t.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 79930 + -54662. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 956 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -31a (base 11) to base 3\nAnswer: -112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 43*u**2 + 332*u - 71. Let b be c(33). Sort 0, b, -89, 4 in decreasing order.\nAnswer: 4, 0, b, -89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + 3*u - 610. Calculate the remainder when v(-27) is divided by 19.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p - 4. Suppose -2*k + 24 = -4*h, 2*k - 2*h = 3*h + 29. Let c be (-25)\/(-10) - 1\/2. Let t be 1*c\/(k\/(-3)). Give z(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1321 - -1297.03. Let f = -24 - t. Which is smaller: 3\/5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -35*j**2 - 366047560*j + 104585020 = 0.\nAnswer: -10458502, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 173c9 (base 14) in base 4?\nAnswer: 32100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*u**2 - 179193*u - 501858.\nAnswer: 3*(u - 11949)*(5*u + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8428380?\nAnswer: 2, 3, 5, 140473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 195907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 - n**2 - 2*n + 8. Let z be c(0). Let h be (-340)\/(-16) + (-2)\/z. Solve 5*o - 1 = -h for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18437 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of 2*n**7 - 14*n**3\/3 - 27. Find the third derivative of k(t) wrt t.\nAnswer: 1680*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*u + 0 - 5\/4*u**3 - 5*u**2.\nAnswer: -5*u**2*(u + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 40?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 13*j**2 + 26*j - 8*j**2 + 35*j + 40 + 38*j. Let v(g) = g**2 + 20*g + 8. Let b(n) = -2*p(n) + 11*v(n). Find the first derivative of b(h) wrt h.\nAnswer: 2*h + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80339*o**3 + 2*o - 70716 wrt o?\nAnswer: -482034*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-34) + 31755\/2465. What is the greatest common factor of r and 910?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -25*i**4\/24 + 77*i**3\/2 - 2*i**2 - 4*i. Does 42 divide a(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7761, 15525, 23289, 31053, 38817?\n\"Answer: 7764*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347 + 176 + 171 + 94*g - 6*g**2 - 94*g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -6*n**2 - 2*n. Let v(b) = b**2 - b + 1. Let r(q) = 2*d(q) + 4*v(q). Let c(g) = 95*g**2 + 95*g - 50. Let m(s) = -3*c(s) - 35*r(s). Factor m(u).\nAnswer: -5*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 23660938?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (102\/7)\/((-12)\/(-42)). Let r be 73\/3 - 17\/b. What is the highest common divisor of r and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58bac2 (base 14) to base 16\nAnswer: 2e371a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -44978 (b) 0.03 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((20\/4)\/(-5))\/(14\/42)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 237032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1360 and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 10 = 0, -l - 284 - 126 = 5*s. Let o = s - -98. Let u(b) = 3*b**2 + 2*b + 1. Let c be u(-1). Solve -v = -5*x - 0*x - o, -x - c*v = 14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.1 and -999.1511.\nAnswer: -999.0511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3*w + w + 0*w + 4 - 3. Let f be h(1). Are -2\/11 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -234100, -235442, -236784, -238126, -239468?\n\"Answer: -1342*b - 232758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/2 - (19 - 1). Let d = -15 - q. Suppose 0*u - 4*x = -d*u - 20, -2*u + 2*x - 10 = 0. Solve u = -4*j + 4 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6086219939 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*2*sqrt(1216) + -3 - 2*(sqrt(1216) - (-2*sqrt(1216) + sqrt(1216)))*-1)*5)**2.\nAnswer: 7200*sqrt(19) + 1094625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.1, -1167, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 (base 10) in base 11?\nAnswer: 1a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1390571876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -4*x + 77983, 11*x - 14*x + 58516 = 2*r. Is 82 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**3 - 7*b**2 + 16*b - 12.\nAnswer: (b - 3)*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.05 (b) 1\/6 (c) 4 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55375 is divided by 490?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -743959 - -1239236.45. Let n = w - 495176.449828. Let t = -101 + n. Round t to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*h - 3*h + h)*(-10 - 6 + 6) - 5*h + h + 3*h)*(3*h**4 - 71*h + 71*h).\nAnswer: -33*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*m = b + 1403, 2*b + 2021*m + 2016*m - 98 = 4035*m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -59809434, -119618867, -179428300?\n\"Answer: -59809433*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 9*o**2 + 10*o - 16. Let r be n(8). Suppose r = -4*f - 2*x - 2*x - 3900, -3*f - 2901 = -5*x. What are the prime factors of (f\/(-30))\/(4\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is q in q**3 - 602*q**2 + 2395*q - 1794 = 0?\nAnswer: 1, 3, 598","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 14*m = -20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 12*j**3 + 5*j**2 - 11257*j. Let g(h) = -5*h**3 - 2*h**2 + 5626*h. Give -5*g(p) - 2*u(p).\nAnswer: p**3 - 5616*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10013\/168 - -481\/8. Find the common denominator of -56\/3 and u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/93, 3\/8, -3 in increasing order.\nAnswer: -3, 1\/93, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 0.02.\nAnswer: 0.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*z**2 + 16*z**3 + z + 4*z**2 + 0*z**2 - 2*z**4 - 17*z**3 - 2*z - 108 in the form n*z + c*z**3 + m*z**4 + i + p*z**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/704 and -89\/110880.\nAnswer: 221760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 2*f + 83 = -0*k, -5*k = 5*f + 130 for k.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 0 - 1 - 3 - 3*f to the form u + b*f and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 4 + 1)*(38*v - 19*v - 61*v - 185*v) in the form k + j*v and give j.\nAnswer: 1135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 5) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1082116 divided by -7.\nAnswer: -154588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1683 + 241?\nAnswer: 1914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(1\/3))\/(l*l\/(l\/l**(-5)))*l**(-2\/15)*(l**6*l*l)\/l*(l*l**(-3\/5))\/l**(1\/6)*(l*l**0)**(-33) assuming l is positive.\nAnswer: l**(-617\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1551132 - -1551026.99985. Let s = -105 - f. Round s to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -602? (a) 2\/7 (b) -0.3 (c) 2\/43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 9*t + 24 = 0. Suppose 3 = 2*j - t. Solve 0 = b + 3*b + j*w + 23, w = -4*b - 21 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 552 is divided by 79.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 125\/17 and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.048, -1\/7, 0.5, 3980?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92*i**2 + i + 82*i**2 + 128247*i**3 - 174*i**2.\nAnswer: 128247*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -14750760 divided by 6\nAnswer: -2458460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*l - 98*l = -234 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -90 - -92. Put 4, t, 5, -1 in descending order.\nAnswer: 5, 4, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*f - 55*f + 33*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 6. Let n be m(9). Suppose k + n*k - 104 = 0. Calculate the least common multiple of k and 14.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 4, 171986.\nAnswer: -3, 4, 5, 171986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 59 - 58. Is p bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 4*r**2 - 13*r - 29. Determine d(7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6240899569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 391375 and 4115250?\nAnswer: 3875","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 219, 0.4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 2. Let z(r) = -22*r**3 - r + 2. Give 4*j(b) - z(b).\nAnswer: 18*b**3 + b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1367415076 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 548 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 ((-2)\/(-112))\/((-1)\/(-94)) and 37\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 275 is divided by 56.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 1\/3, 0.22 in ascending order.\nAnswer: -4, -1, 0.22, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 740700.1l in millilitres?\nAnswer: 740700100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -2261 and -2261 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -2, 6, 14, 22?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 220 + -211. Suppose g = 3*z, 3*z = -2*v + 7*v - 1. Solve -2*p = -4*p - 5*h + 9, 2*p = -v*h + 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v*v*v**(-12)\/v)\/v))\/v)**(-2\/47) assuming v is positive.\nAnswer: v**(-24\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + j - 28*j**3 - 10*j**3 - 112*j**2 - 113*j**2 + 35*j**2 + 37*j**3 to i*j**2 + v + a*j**3 + q*j and give i.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 4*c**2 + 2*c - 4. Let x(u) = -u**3 + 4*u**2 + 3*u - 5. Let p be 1*2*(-8)\/4. Let h(s) = p*t(s) + 3*x(s). Give h(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26549733 + -0.09.\nAnswer: 26549732.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**3 - 24*j**2 - 43*j + 18. Calculate b(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o + 4. What is h(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.87687312 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -348*a - 191*a - 32616 = -112*a + 177*a for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -3*k + 12. Let n = 587 + -584. What is the remainder when k is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**2\/19 + 72*k\/19 + 136\/19 = 0 for k.\nAnswer: -34, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12457 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1673.86*-1.1.\nAnswer: 1841.246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -f**2\/2 + 4. Let h be t(-2). Suppose 0 = h*s - s - 8. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -33*a*o**4 - 7634*a + 1176*o**4 - 3*o wrt o?\nAnswer: -396*a*o**2 + 14112*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**3 + 11*r**2\/2 - 10*r + 3. Let a be g(-8). Let j = -10 + a. What are the prime factors of j?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5766452 by 4.\nAnswer: 1441613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1151632.8 nanoseconds?\nAnswer: 0.000000319898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2402 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47 - -41. Let b(g) = 11*g**2 + 20*g + 14. Let v(m) = -21*m**2 - 40*m - 29. Let j(y) = i*v(y) - 11*b(y). Find a such that j(a) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7268.3 - -6916. Round v to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -157 - -160. Solve -r - v + 1 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/6*159\/(-2). Let r be (-68)\/2 + 8\/4. Let i = x + r. Does 19 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12566, -25138, -37712, -50288, -62866?\nAnswer: -75446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 h when two letters picked without replacement from {d: 1, e: 1, w: 4, z: 1, h: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6725 + -2a4?\nAnswer: -69c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 + 0\/5)\/(21\/6944). What is the highest common divisor of i and 62?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2.24151um?\nAnswer: 0.00000000224151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*u - 27*u**2 - 8*u - 5*u as a + g*u + o*u**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -410*k**3 - 5*k**2 + 406*k**3 + 17*k**2.\nAnswer: -4*k**2*(k - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2*b - 4*t + 32, -t = 4*b - 50. Suppose 4*l + 8 = 4*q, -5*q + 5*l = -q - b. Is 7 a factor of 141\/18*q*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16484902?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -4\/3, -4, 0?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 + 8*h**2 + 7*h + 21. Suppose -2*y - 33 = -4*y - 5*u, -u = -5*y + 42. Let s be m(y). Solve 2*d = 2*x, -30 = -x - 2*x - s*d for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.25 + 0.75. Let k = 103.05 - 103. What is the third biggest value in k, -10, i?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 2\/3, 0.6, -3\/4, 1540, -0.1, -5\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-321)\/63130)\/((-87)\/(-145))?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.17023us to minutes.\nAnswer: 0.0000005861705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/3 (b) -2\/5 (c) 4\/53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**3\/3 + 8*m**2 + 4*m. Let y be n(-7). Solve -y = q - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(2\/5)\/((((z\/(z\/(z*z*z**(-4)\/z))*z)\/z)\/z)\/z)*(z*z*z**(-1))\/(z**(-2)\/z)*(z**(-2\/7)\/z**1)\/(z\/(z**0*z))**(1\/3) assuming z is positive.\nAnswer: z**(284\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31355341, 31355354, 31355369, 31355380, 31355381, 31355366, 31355329, 31355264?\nAnswer: 31355165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -171 - -93. Let v = -38 - d. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 160 - 45. Suppose -5*p - 2*n = -c, 1 = 4*p - 9*p + 4*n. Let f = 22 - 12. Calculate the smallest common multiple of p and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5574252869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**7\/2520 - o**6\/720 + o**5\/20 + o**4\/12 + 21*o. Let d(g) be the third derivative of v(g). Calculate d(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -384207, -384424, -384785, -385290, -385939?\n\"Answer: -72*d**2 - d - 384134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 c, and 1 j when four letters picked without replacement from jgxgcgj.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -107277.3 from -85.506.\nAnswer: 107191.794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.07 - 0.07. Let x = 0.07 + -0.17. Which is the nearest to w? (a) 3 (b) 0.1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-3)\/(-6)*(-5)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5 = w - 10, -65 = -4*n + 5*w. Solve -1 = 3*m - n for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/1490342 and 121\/7451710?\nAnswer: 7451710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6.5 or 36314?\nAnswer: 6.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2990, -11980, -26964, -47942, -74914, -107880?\n\"Answer: -2997*z**2 + z + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, q: 3, c: 2, m: 5}. Give prob of picking 1 m, 1 n, and 1 q.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 65*j**2 + j + 3. Let p(d) = d**2 - d + 1. Let f(v) = -2*p(v) + t(v). What is the second derivative of f(i) wrt i?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 617*x - 3 + 576*x - 1147*x.\nAnswer: 46*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -221\/217350 and 40\/3729.\nAnswer: 270166050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262587219?\nAnswer: 3, 17, 1433, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -4, 0.089, -0.02, 0.4, 3?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0748 and -11.322231.\nAnswer: -11.397031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2698526 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (189\/15)\/(7504\/32160).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (3 - 2) - (-100)\/(-24).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4884918 rounded to 4 decimal places?\nAnswer: -0.4885","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-49) + 192\/21.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9444763 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 3*x + 3. Suppose 0 = -3*n + 9, -4*i = i - 2*n - 19. What are the prime factors of s(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.07, -5, -1222, -0.1, 1, 2\/47?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 209682 and 65769?\nAnswer: 417896226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -101*j**4 + 8*j**3 + 118. Let v(x) = 66 - 3 - 67*x**4 + 4*x**3 + 16 + x**3. Let k(b) = 5*p(b) - 8*v(b). Differentiate k(g) wrt g.\nAnswer: 124*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-375))\/(3\/(-10))*(-15)\/2?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3468?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -86142 and -0.02.\nAnswer: 1722.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28918 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3339 and 23473912.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-132)\/165)\/(1*4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6*24\/4*(-1)\/2. Calculate the highest common factor of 27 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37717 is divided by 184.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 2, 3, 1, 170, -5 in ascending order.\nAnswer: -5, 1, 2, 3, 60, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, r: 14}. What is prob of picking 1 r and 1 m?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -104, -108, -114, -122, -132, -144?\n\"Answer: -r**2 - r - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 + -223\/9. Suppose 5*o = -0*o - 145. Let n = o + 30. Are k and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (-30 + 8 + 10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**6 + 3*f**5 + 477*f**4 - 8843*f**2?\nAnswer: 240*f**3 + 180*f**2 + 11448*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1980 is divided by 660.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -589 + 651.6. What is f rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4.6 and 0.16188?\nAnswer: 4.76188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 - 18*i + 33. Let z be m(6). Let g(k) = -40*k + z*k + 24*k + k + 60*k. Let a(o) = -3*o**2. Determine a(g(r)).\nAnswer: -38988*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3698*c**2 - 4807*c**2 - 12508*c**2 as m*c + n + v*c**2 and give v.\nAnswer: -21013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2366, 4, 6 in decreasing order.\nAnswer: 2366, 6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-2 - ((-8 - (9 + -8)) + 5))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6605*u + 9215*u + 1342163 = -2319*u + 326379 for u.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -162, -317, -484, -669, -878, -1117, -1392, -1709?\n\"Answer: -q**3 - 148*q - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/72 and -115\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/13)*w*w**1*w*w)**(-2\/61)\/((w**(1\/11)*w\/((w**(-1\/3)*w*w)\/w))\/(w**(2\/7)\/w)**14) assuming w is positive.\nAnswer: w**(-276356\/26169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2. Let h(n) = 6*n**2 - 8*n - 8. Let q(p) = -4*p**2 + 5*p + 5. Let w(s) = -5*h(s) - 8*q(s). What is w(x(l))?\nAnswer: 18*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 326 - 1872?\nAnswer: -1545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 19*z - 121. Let v(p) = -5*p**2 + 695*p + 7. Let s be v(139). Give n(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -44*x + 1493. Let q be k(34). What is the nearest to q in -2\/9, -3\/11, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/6880 - -13739\/48160. Solve -n*q**5 + 2*q**4 + 8\/7 - 38\/7*q**3 + 50\/7*q**2 - 32\/7*q = 0 for q.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millisecond in microseconds?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1, 3\/8, -0.2, 132, -365978?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 734 = -3*x, -3*x + x = y + 480. Let v = x + 435. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 84\/(-4) - (-2 - (-26 + 108\/18)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98269 is divided by 4465.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-5*sqrt(40)\/sqrt(2))\/(-3*sqrt(8)\/sqrt(2)) + 0 + 2.\nAnswer: -3 + 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -110*g - 68. Let p be ((-1)\/(-4)*-2)\/(2\/12). Let q(r) = -110*r - 70. Let d(j) = p*q(j) + 2*z(j). Differentiate d(v) wrt v.\nAnswer: 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2358 by -2358.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b, 4*f + b = 3*b - 192. Which is bigger: f or -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 809*l - 26007 = 29403 - 4443 for l.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 6. Let q be w(-7). Let l be ((-4)\/(-8))\/q*-2 - -4. Suppose 4*v - 29 = 5*d, 0 = 2*v - 0*v - l*d - 17. Is 12\/7 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.005*170727.\nAnswer: -853.635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24 + 24.28. Let i = v - 0.2787. Round i to 3 decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - 114661?\nAnswer: -114656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -22 in 30, -2, -4, 0, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -100010101111011001 (base 2) to base 9\nAnswer: -236167","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-3*-22*4\/144.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 29*s**3\/6 - s**2\/2 + 2*s. Suppose 1 = 7*a - 6*a. Let q be g(a). Calculate the greatest common divisor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 4, 118, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/((-2*sqrt(88))\/sqrt(8)).\nAnswer: -sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = w - 6. Let o = w + -3. Let a(n) = n**3 - 7*n**2 + 10*n - 22. Let i be a(6). Solve -6*d = -i*d - o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -11*k + 15*k. Calculate the highest common divisor of 15 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3710892 is divided by 218287?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2790942 rounded to the nearest one thousand?\nAnswer: -2791000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0261425 and 19904528.\nAnswer: 19904528.0261425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 5*w**2. Let n(l) be the third derivative of l**7\/1260 + 3*l**5\/4 + 5*l**2. Let z(t) be the third derivative of n(t). Calculate z(d(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -491*a + 491*a + 86*a**3 - 582*a**3 + 3203*a**2 wrt a?\nAnswer: -2976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 + -2313?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -134358 divided by 11.\nAnswer: -134358\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 4. Let y = 4 + -1. What is the units digit of (c\/2)\/(1\/y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14860?\nAnswer: 2, 5, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24 - 19) + (8899 - 0). What is the first derivative of 2*j - 2*j - 18*j**2 + i - 8924 wrt j?\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507.578g in kilograms?\nAnswer: 0.507578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5184\/(2 - -1) + -4. Suppose 8*t + c = 12*t. What are the prime factors of t?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hzz when three letters picked without replacement from {h: 4, z: 10, b: 6}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4 - 14 = 0. Suppose n = -6*a + 2*a + 20, -y*n = 3*a - 20. Suppose -24 = -5*l - n. Solve 6 = -2*p + l*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**8\/6720 - i**7\/840 - i**6\/240 - i**5\/120 - i**4\/6 - 3*i**2. Let r(j) be the second derivative of d(j). Factor r(z).\nAnswer: -(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*g = -30, -2*y = -3*g + 2*g + 32. Let f = -406\/11 - -1259\/66. Find the common denominator of 1\/(-2)*116\/y and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 1 (c) 6\/7 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2691 is divided by 134?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -212?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 5*j = -6*t, -j + 6 = -t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 3*p - 3*w, -4*p - 4*w = 0. Sort 8, p, 6 in ascending order.\nAnswer: p, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 60*o + 116. Let z be r(-58). Solve -4*c - 40 = 4*i, z = -2*i - 0*i - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 14*f**2 + 17. Give l(-14).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 47 + -38. Suppose 0 = 5*m - t - n, -t - 2*t = m - 5. Solve -2*k - 5*k - k**2 + 4*k**m + 4*k - 3*k**4 + 3*k**3 = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = z + 22, 0*z + 3*z + 94 = x. Let v = z + 78. Calculate the highest common divisor of v and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-five quarters of a kilogram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 86*p + 90*p - 264*p + 10*p**3 + 88*p.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -31147 - -2?\nAnswer: -31145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -13. Suppose x = s - 0*s. Let n(a) = 5*a**3 - 3*a**3 + 2*a**3 + 2*a**2. Let f(y) = y**3. Give s*f(g) - n(g).\nAnswer: 2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 57422*h**3*q**2 + 2*h**3*q - 10114*q**2 wrt h.\nAnswer: 172266*h**2*q**2 + 6*h**2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -93198 + 165236. List the prime factors of y.\nAnswer: 2, 181, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314733 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) -2\/19 (c) 5 (d) 151 (e) -1\/8 (f) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + 52 = -14. Suppose -73 = -l + 2*o + 1, -5*o - 225 = -w*l. What is the greatest common factor of l and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1426071, 1426075, 1426081, 1426089, 1426099?\nAnswer: 1426111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s**2 + 23*s - 70. Give v(3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02331019 rounded to 5 dps?\nAnswer: -0.02331","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 537259 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1835093690 rounded to the nearest 1000000?\nAnswer: 1835000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -11*f**6\/90 - f**5\/4 - f**4\/6 - 83*f**3\/6 + 20*f**2 - 2. Let a(v) be the first derivative of t(v). Factor a(y).\nAnswer: -2*(2*y + 1)*(11*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((54\/(-12))\/3)\/(1\/2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*m = -1024 + 3988 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 12*w**2 + 2*w - 1. Let a(d) = -d**2 + 5*d + 12. Let y be a(0). Suppose y + 1 = 13*n. Determine c(n).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -o**4 - 280175826*o**2 - 86635435 wrt o?\nAnswer: -4*o**3 - 560351652*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -0*u + 2*u - g, -2*g - 31 = 3*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13040 - 42?\nAnswer: 12443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times 770?\nAnswer: -9240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -86. Is f a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4 = 8*v - 12*v, 5*v = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33316 + -5?\nAnswer: -33324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -20. Let o = 10 - 7. Suppose 0 = -4*m + 3*j - 3, 0 = -m + 2*j - 5*j + o. Solve 2*g - 5 = -3*g + 5*t, m = 5*g - 4*t - c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(1\/2 - 1). Let p(w) = 15*w - 3 - 17 + 7*w**2 - 3*w - w**3 + 1. Is p(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1138082 is divided by 10070?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -2*p + 405, 164 = -5079*a + 5081*a + p. Suppose 0 = t - 30 - 25. What is the least common multiple of a and t?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1104453672?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + (21 - (10 + -5 + 0))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 4:54 PM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2131601000 rounded to the nearest 1000000?\nAnswer: 2132000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 221, 11, 1, 15 in ascending order.\nAnswer: 1, 11, 15, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, b: 4, e: 1, s: 2}. What is prob of picking 1 b and 1 e?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 5*p**3 + 14*p**2 - 8*p + 8. Let x(c) = 2*c**3 + 5*c**2 - 3*c + 3. Let b(a) = -9*a + 39. Let m be b(4). Let f(w) = m*z(w) - 8*x(w). Factor f(v).\nAnswer: -v**2*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.5 - 7.9. Which is the third smallest value? (a) n (b) -5\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o**2 - 12*o - 1. Suppose -4*f - 37*u + 36*u - 22 = 0, -3*f - 2*u = 19. Let s(a) = -4*a**2 + 15*a + 2. Let t(i) = f*h(i) - 4*s(i). Calculate t(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 3*n = -195. Let j = 92 + n. What are the prime factors of j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 125*h + 29 - 3 - 19 + 29.\nAnswer: -125*h + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 83528881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19 is divided by 4\/(-10) + 374\/85?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -559 divided by -5.\nAnswer: 559\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/(-299) + 0 + (-14)\/(-78)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/3 + 0 - -5. Suppose 2*v + 2*f + 2 = 28, -2 = 2*v - j*f. Calculate the greatest common factor of v and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + f**2 + 4*f + 14480. What is the units digit of x(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -26. Let x(n) = -6 + 10*n**h + 5*n - 14*n**2 + 2*n**2. Let v(r) = 2*r**2 - 4*r + 5. Determine 4*v(l) + 3*x(l).\nAnswer: 2*l**2 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h - 3. Let o(x) = x**3 + 2*x**2 - 3*x - 2. Let v be o(-3). Let d be y(v). Suppose 0*i - d = -i. Solve -i = u - 0*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81.09 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -476 - 35.\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44698245?\nAnswer: 3, 5, 1109, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.2 - 1.2. Let u = 1 + o. What is the closest to u in 3, -0.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let c(y) = 371380934*y**2. Determine b(c(u)).\nAnswer: -371380934*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2592317 is divided by 173.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -20*(-7)\/28.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114843.035 - -111756. Let y = -3078 - x. Let c = -9 + y. What is c rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 170*l**3 - 6*l**2 - 5776*l. Let d(g) = -170*g**3 + 9*g**2 + 5776*g. Let x(f) = 2*d(f) + 3*k(f). What is the second derivative of x(n) wrt n?\nAnswer: 1020*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 5*x + 18, 4*x - 17 = -10*m + 11*m. Which is smaller: m or 6\/9311?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v - 3. Let t be y(6). Let l be (8\/6)\/((-2)\/t). What is the units digit of 21\/(-18)*l*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000291078 to 5 decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -161 + 153 + (4 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 79609*o + 6*o**2 - 3 - 79609*o. Let x(r) = 17*r**2 - 8. Suppose 2*n = -j + 3*n - 1, 4*j + 2*n + 22 = 0. What is j*x(v) + 11*s(v)?\nAnswer: -2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.92078 to one dp.\nAnswer: 14.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -131997 + -1?\nAnswer: -131998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 8*f - 5*l + 41, 36 = 4*f + 4*l. Suppose -f = -3*k + 62. Calculate the smallest common multiple of k and (-1 + -4)*(-44)\/10.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 60501996.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(539)*2*-6*-5 - (-5 + -1 + sqrt(539))*-6)**2*-4.\nAnswer: -9396718 + 133056*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.53 - -0.03. Let f = 9 + -6.5. Let p = f + -2. Which is the smallest value? (a) p (b) 2\/15 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 42 = 2*f, 5*f - 4*t = -0*t + 151. Let k be 356\/18 + 6\/f. Let q be ((-3)\/(-6))\/((-5)\/k). Which is greater: -30\/17 or q?\nAnswer: -30\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1\/4))\/(b\/b**1)*(b*b\/(b*b**(2\/5)*b*b))\/b**(3\/8))\/((b**(-1))**(-4\/25)*b**(-1\/5)\/b**(-1\/7)) assuming b is positive.\nAnswer: b**(-1579\/1400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -67, -0.74.\nAnswer: -67, -0.74, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 50 = 66*l - 62*l, 2*j = 4*l + 32. What is the second smallest value in l, -1, -1\/4, -5\/89?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100011010 + -10100111?\nAnswer: -11111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-38)*1944\/(-4374)\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*f**6 - 237*f**2 - 10*f - 33*f + 2*f**4 + 43*f wrt f?\nAnswer: -3480*f**3 + 48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 6*n - 8. Let g(c) = 1 - 6 + 0 + 6 + 0. Give 6*g(d) + t(d).\nAnswer: 6*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 3:39 AM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -21. Let n(v) = v**2 + 7*v + 22. Let x be n(-3). What is the highest common factor of l and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2725820114, 2725820123, 2725820146, 2725820189, 2725820258, 2725820359, 2725820498?\n\"Answer: o**3 + o**2 - o + 2725820113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 19\/(-11))*(-4059)\/(-738)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 802, 6582, 22324, 53008, 103614, 179122, 284512?\n\"Answer: 830*z**3 + z**2 - 33*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2327.874 decades?\nAnswer: 232.7874","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39199868?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 883625 a multiple of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1904*c - 1904*c + 209*c**3.\nAnswer: 209*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of 13*z**4\/12 - 15*z**3 + 131*z**2 - 2. Let v be g(6). What is the third biggest value in -0.3, 2, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-5)\/420)\/((-4)\/24)*(-24)\/6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56515?\nAnswer: 5, 89, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18359, -18273, -18121, -17897, -17595, -17209, -16733?\nAnswer: -16161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 13*k - 144 = 0. What is the greatest common divisor of k and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/10 + (6 - 113\/15).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*f**2 - 29*f**2 - 8 + 8)*(-2 + 0 - 3) as g*f**2 + b + o*f and give g.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -772 + 2658?\nAnswer: 1996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 11 = 4*f, 3*o = -12*f + 11*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t - 9. Let d(n) = 1 - 191*n + 385*n - 195*n. Calculate -36*d(b) - 4*h(b).\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -128?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, -1, 5, 0, 2.\nAnswer: -1, -0.04, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2. Let x(b) = 7*b**2 + 16*b + 20. Let v(y) = 6*n(y) - x(y). What is the least common multiple of 9 and v(-14)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51485, 51492, 51499, 51506?\n\"Answer: 7*m + 51478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022163399 to six decimal places.\nAnswer: -0.002216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -2*b**2 + 5*b - 4. Suppose r + 17 = 5*v, -r + 5*r - 5*v + 8 = 0. Determine c(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57821?\nAnswer: 67, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, x: 3}. What is prob of picking 3 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3307*i - 2*i**2 + 3*i**2 - 3667*i - 11 + 13.\nAnswer: i**2 - 360*i + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3177748 - -0.2\nAnswer: -3177747.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 4:40 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 2:22 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.95 - 1. Let u = 0.05 + m. What is the closest to u in 2\/7, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27615 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5\/10 + 9*u**4\/10 + 2*u**3 - 2*u**2 - 48*u\/5 - 32\/5 = 0. Calculate u.\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 8*t**2 + 2. Let h be g(8). Suppose -h*x + 16 = 2*x. Suppose -s = m - 1, x*m - m = -9. What is the greatest common divisor of s and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by -314681.\nAnswer: -560\/314681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**3\/3 - 102782*z**2\/3 + 440189610*z - 440155350 = 0.\nAnswer: 1, 25695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -880 at most 32813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 785 = -2*q + q, -4*d + 2*q + 1044 = 0. Suppose h - d - 237 = 0. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 11*s**2 - 4*s + 6. Let r(z) = -12*z**2 + 5*z - 7. Calculate -5*k(y) - 4*r(y).\nAnswer: -7*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 325984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + (-8)\/(-14))\/((-78)\/(-273)). What is the first derivative of -n*t**2 - 14 - 5 + 49 - 15 wrt t?\nAnswer: -4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0645 to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -33\/1040 and -41\/35490.\nAnswer: 283920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -225, -8, -3, -1\/3, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(143) - (sqrt(143) + 5*1*sqrt(143)) - -2*sqrt(143)*-4)*-5)\/((3*-1*sqrt(66))\/(sqrt(30)\/sqrt(5)*-1)))**2.\nAnswer: 54925\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-65)\/26*20\/(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhlehuheeehlhbeh. Give prob of sequence blhl.\nAnswer: 1\/3120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39233 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 0.071, 5, -301?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2346 and 289.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1397953?\nAnswer: 1397953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2. Let h(n) = 13. Let w(u) = h(u) + 6*t(u). Let s(i) be the second derivative of -i**3\/6 - 5*i**2\/2 + i. What is s(g) + 5*w(g)?\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1619259 divided by 1?\nAnswer: 1619259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 82 - 54. Calculate the remainder when u is divided by 1*((-75)\/10)\/(1\/(-2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + k**2 + 3*k - 4*k)*((3 + 6 - 5)*(-3*k**2 + 3*k**2 - k**2) + 0 + 0 + 2*k**2).\nAnswer: -2*k**4 + 2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 464843486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -522\/5 - -105. Put m, -4, -1 in descending order.\nAnswer: m, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6279108 divided by -12.\nAnswer: 523259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 4*u**2 - 4*u**2 + (-4 + 6 + 0)*(-2*u**3 + 3*u**2 - 3*u**2) + (9*u**2 - 12*u**2 - 12*u**2)*(-u - 2*u + 0*u) - 5 - 2*u**3 + 5 + 1.\nAnswer: 37*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-2 + 4 + 0). Let j = -6 + q. What is the lowest common multiple of 18 and j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.4 + 4. Let r = -19 - -8. Let m = r - -11.1. Is g greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3709 plus -5?\nAnswer: 3704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(1\/6))\/(i*(i**(-15)\/i)\/i) assuming i is positive.\nAnswer: i**(101\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 4*t + 10, -w - 2*t + 25 = 4*w. Let a(u) = 5 - w - u. Let x(i) = -i**2 - i**2 + 4*i**2. Calculate a(x(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(132)*2 - sqrt(132)) + sqrt(132))\/sqrt(12).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-16)*((-416)\/24)\/(-13)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(-2\/11)\/m)\/m)\/((m*m**(1\/2))\/m*m))\/(m\/m**(-2\/13)*m*m**2) assuming m is positive.\nAnswer: m**(-1955\/286)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1*35\/((-42)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u. Let c(f) = -4*f - 6. Let g be c(-2). Suppose 4*w + q - 122 = 0, 3*q - 116 = -4*w - q. Let t(l) = -63*l**g + 28*l**2 + w*l**2. Calculate t(s(o)).\nAnswer: -144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*w - 27*w**2 + 3.\nAnswer: -27*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -482, 4, -2 in decreasing order.\nAnswer: 4, -2, -482","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6377 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 3 - 3)*(3 - 3 - 2*u**4) + 68*u**2 + 18*u**5 - 68*u**2 + 13*u**5 - 7*u**5 + 14*u**5.\nAnswer: 40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + -3. Suppose 4*m = d*s + 82, m = 2*s - 0*s + 22. Is 10 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -33. Let a be (-2)\/(-6) - 16\/(-6). Let s(o) = -5*o**2 - o - 5. Let r(q) = q**2 + 1. Calculate a*r(u) + z*s(u).\nAnswer: -2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1072 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/(-6))\/(-2))\/(-55 + (-22912)\/(-416)).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0186830375 rounded to 6 dps?\nAnswer: -0.018683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2436 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 919690.293 rounded to the nearest 1000?\nAnswer: 920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*h - 2900 = 0, -14*o + 18*o + 4*h - 2876 = 0. What is the hundreds digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/27)\/((60\/27)\/(-5)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 100061856 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8\/((2\/10)\/(14\/(-35))). Let o be 1\/((-6)\/c)*(-516)\/(-8). Suppose -3*l + 98 = -o. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 4488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-29)\/(-2) - 3\/(-6). Suppose -3*b + 2*b + q = -2*u, 5*b - 131 = -4*u. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*b - 21 = 39 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*u - 34 + 62 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -232095, -927908, -2087597, -3711162, -5798603?\n\"Answer: -231938*m**2 + m - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3) - 4\/8.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/26820 and 101\/230.\nAnswer: 616860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -114715668 divided by 6?\nAnswer: -19119278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/61698 and 69\/2486.\nAnswer: 678678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 13*p + 5*p - 15*p. Let x(m) = 13*m. Determine a(x(b)).\nAnswer: 39*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1125 + -379. Let l = u - 327. What are the prime factors of l?\nAnswer: 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 471\/8 + -59. Let g = -15.2 - -18.22. Let m = -0.02 + g. Which is the second biggest value? (a) f (b) -1\/9 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -20. Let x be (-26)\/d - (-6)\/15. Let r(m) = 3*m**2 - 3*m**3 + 3 + 4*m**x + 3*m - 8*m**2. Give r(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1730*y - 22*y**2 + 1730*y.\nAnswer: -22*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 7\/4, -0.4, 916?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 11:20 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, -14, -64, -164, -332?\nAnswer: -586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 f when two letters picked without replacement from cbbccfh?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10700 (base 9) to base 12.\nAnswer: 4160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 56930 and 13085999?\nAnswer: 13029069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 - 39488601.\nAnswer: -39488601.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -6 + -7 - (-2 + -1)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 16*z. Let f(o) = 3*o. Let i = 166 + -188. Determine i*f(x) + 4*p(x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10681*2702\nAnswer: -28860062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 12*r - 738 = 0. Let z = 8723 - 8682. What is the highest common factor of r and z?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 2. Let g(u) = 17*u**2 + 2 - 6*u - u**3 - 9*u**2 - u**2 + 4. What is the tens digit of g(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -14. Let a = 33\/10 + -277\/90. Let x = -403.5 - -408.5. What is the smallest value in x, 2, u, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-2\/7))\/x**3)\/(x**(1\/4))**(-2\/21))**(-38) assuming x is positive.\nAnswer: x**(1349\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00091347 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 2 = 2, 0 = -5*b - 4*p - 9. Let z = b + 7. Suppose z*c = c + 3. Solve c*q + s - 7 = 0, q - 4*s - 4 - 7 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*(15\/120)\/((-3)\/(-12))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2\/9, 16361?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 607565 and 135.\nAnswer: 16404255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of 23\/3*o**3 + 0*o**2 - 157*o + 0. Let v(a) = a**2. Calculate z(v(n)).\nAnswer: 46*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 453380067 a multiple of 453?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-1*sqrt(475) + 0 - (-1 + sqrt(475)*-2)))**2*-6.\nAnswer: -2874 - 120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r**2 - 4*r**2 + 30*r - 2*r + 2 + 5*r**2 as b + i*r + q*r**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5367893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 - 7*s. Let v be f(5). Let c be (-2)\/3*v\/10. Let t = 10 + c. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3081817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 z when three letters picked without replacement from zqddqxgzi?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from fznpgfngnnnnggnf.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*x + 137 + 269 = 0. Suppose 44*s - 9028 = x*s. Does 25 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -1 + 6*h + h**3 + h**3 - 7*h**2 - h**3. Let q be l(6). Let w = -606 + 603. Sort w, q, -4 in ascending order.\nAnswer: -4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 5*j**2 - 15*j + 12. What is the units digit of b(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - f = -12, 5*n + 3*f = 2*f - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02848238765 rounded to five dps?\nAnswer: -0.02848","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 331896769?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2455, 2459, 2473, 2503, 2555, 2635?\nAnswer: 2749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 285.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/9 - 510\/(-135). Solve -3*k - j = -3*b + 2, 4*k = -3*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 17 = 5*l. What is the tens digit of (17\/l)\/(2\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of 13*f**5\/30 - f**4\/12 - 17*f**3\/6 + 7*f**2 + 1. Find the second derivative of q(l) wrt l.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -25. Let p be (-87)\/o - (-6)\/(-9). Calculate the highest common factor of 72 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.5964289 rounded to two dps?\nAnswer: 482.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 125.8773 + -120.732. What is m rounded to one decimal place?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 482 - -276. Suppose 5*l - 170 = -n, 2*l + 0*l - r = -5*n. Let x = n - 82. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-253)\/2*(-5559)\/40766. Factor 3\/4*n**2 - y*n + 0.\nAnswer: 3*n*(n - 23)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f + 16. Suppose -5*x + 57 = 12. Let d be r(x). Let g = 41 + d. Solve -5*k = -2*c + 6, 0 = 2*k + 4*c + g - 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -3. Let x = -6.3 + 0.3. Let c = 10 + x. What is the second biggest value in g, c, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 393040?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a - 2. Let b be k(-1). Let p be b - -3 - (-2)\/1. Solve 0 = 5*l, -r = -2*r - p*l + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1007 and -363 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -232642*q**2 - 3*q + 27192.\nAnswer: -465284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 446.1579 + 16864113.5.\nAnswer: 16864559.6579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 29 = 21. Let v = -978 + 977.4. Which is the biggest value? (a) 0.2 (b) v (c) -1\/3 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 3*h**2 - 5*h + 1. Let d be n(-4). Suppose 0 = 4*y + 5*z + 4, -3*z = -y + 4 - d. Let b be 3 - (0 + y - -2). Put b, 3, 7 in decreasing order.\nAnswer: 7, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1845)\/(-130))\/41*(8\/(-6))\/2?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (219\/(-4380))\/(6\/64)*(1332\/240)\/37.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + s + 83 = a, -s = a - 31. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116\/7424*16 - 35170\/1512) + 23.\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.1, 0.1, -1.8, -11, -2 in descending order.\nAnswer: 0.1, -1.1, -1.8, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2, -1\/5775, -4\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of -13*v**4\/6 + v**3\/6 - 2*v**2 + 4. Find the first derivative of w(s) wrt s.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/162241 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 1764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -231.26 - -228. Let i = l - -0.26. Sort i, -2, 1\/3 in ascending order.\nAnswer: i, -2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*j + 0*j = -924, -m + 924 = 5*j. Is m a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -39727022 in decreasing order.\nAnswer: -3, -5, -39727022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000015468137 to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*z - 32, -2*i + 24 = -z - 2*z. Suppose -5*y + 5 = -5*w, -5*w - 1 = -i. Solve 7 = -y*a - 5*n + 2*n, a = 5*n - 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 185968 - 128178. Does 63 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-141)\/846 + (-26)\/132.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + (12 - 8) + -18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 16. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 23785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90984725.\nAnswer: 5, 13, 71, 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -33.\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -f**2 + 9*f - 4. Let z be 6 + 2 + 1 + -3. Determine l(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9*((-27)\/(-18))\/(18\/8). Suppose 2*n = h*n + 4. Which is greater: 1\/153 or n?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2 + 432*j - 14580.\nAnswer: 4*(j - 27)*(j + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 7 = -5*u + 3*x, -4*u + 18 = -2*x. Suppose 45 = u*z + z. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in 1, 5, 2, -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwu when three letters picked without replacement from wyggguwgggugywg?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -116*b + 331. Let a(j) = -20 - 22*j - 55*j + 187 + 20*j. Let v(l) = 5*a(l) - 2*z(l). Differentiate v(x) with respect to x.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 91?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 22 = 5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 677370 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -y + 46, -5*y + 9*b - 4*b = -245. Suppose -13*l + 11*l + 110 = 0. Let a = l - y. Let u(s) = s**3 - 5*s**2 + 6. Determine u(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -4*m - 980 + 968, -5*u + 5*m = 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 249?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1))**(-8))**11)**(-24) assuming d is positive.\nAnswer: d**(-2112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9620151*r + 3193686.\nAnswer: 9620151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 7304.37508 + 4\nAnswer: 7308.37508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/161505 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - i - 6 = f, -2*f - 3*i = 1. Let h(g) = g. Let k(p) = -5*p. Let l(r) = -14*h(r) - 2*k(r). Let z be l(f). What is the biggest value in -2\/3, -10, z?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2104 is divided by 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*o = 573 - 257 + 704 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17036427206\/8205 + -2076347. Find the common denominator of o and 73\/39.\nAnswer: 106665","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**3 - 4*q**2 - 57*q - 7. Is d(17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 51 = 3*c + 3*a, 2*c = 4*a - 30. What are the prime factors of 2\/(-1) + c\/(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 28, -5 in ascending order.\nAnswer: -13, -5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2131 - -12?\nAnswer: -2116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 38 = 4*v, -4*h - 135*v + 139*v = 28 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/8457856 and 29\/384448.\nAnswer: 8457856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 300*u**2 + 11*u. Let m(y) = -400*y**2 - 14*y. Give -11*c(t) - 8*m(t).\nAnswer: -100*t**2 - 9*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25455571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1d + 20c?\nAnswer: 22a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 8\/435389?\nAnswer: 8\/435389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r**2 - 16*r + 23. Let c(b) = b**2 - 1. Let m(q) = 5*c(q) + f(q). List the prime factors of m(-10).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47704 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -453 at least -13096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.636876um to meters.\nAnswer: 0.000008636876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 2. Let x be 2\/(3 - (l + 1)). Differentiate -t**2 - x + 5*t - 5*t with respect to t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6336 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 30 = 2*b - 2*q, 3*q + 6 = 0. Let i be b\/30 + (-22)\/3. Is 398 - (i - -4)*-1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082212 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-44) + (-24)\/(-11). Suppose 4*w = a*w + 6. Suppose -w*x + 6 = -x. Solve -g + 2*g - x = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + -30?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**2\/11 + 13197*h\/11 - 39582\/11 = 0.\nAnswer: 3, 13194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.029 + 3.029. What is the closest to 1 in -0.2, -4\/7, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35 + -29. Let b be (-2)\/3 + n\/(-6). What is the units digit of 34\/b + 12\/(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-56))\/2*(-2)\/(-2).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 3*s**2 + s - 2. Give r(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, k: 5, j: 5, e: 9}. What is prob of picking 3 j and 1 e?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-59*t - 30*t + 62*t)*((-6 + 1 + 4)*(2 - 2 - 15) - 5 - 3 + 0 - 1 - 1 + 3) to u*t + i and give u.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 39370*a**3 - 78942845*a**2 + 5681091000*a - 104112450000.\nAnswer: -5*(a - 3900)**2*(a - 37)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*s = -2*z + 20*s + 94932, z - 47501 = 4*s. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13265906 to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16*(-16)\/(-36))\/(96\/17280*40)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (39 + -8939)*82*1. Round o to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u + 81. Calculate the remainder when c(11) is divided by 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 2*w**4 + 96*w**3 + 438*w**2 + 344*w = 0.\nAnswer: -43, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 PM and 4:36 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 95*k*u**3 - 3*k*u**2 - 10*k*u - 11*u**3 + 1382*u**2 wrt k.\nAnswer: 95*u**3 - 3*u**2 - 10*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - n - 4. What is x(-6)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 7*u - 2*q = 6, -3*u = -2*q - 10. Solve -2*j - 4*h = -1 + 17, 5*j + u*h = -24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1200\/135)\/20)\/((-2300)\/90).\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 988, 4160, 9448, 16852, 26372?\nAnswer: 38008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 763 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.52 or -189?\nAnswer: -189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**2\/11 + 7864*x\/11 + 7866\/11 = 0 for x.\nAnswer: -1, 3933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**3 - 5*r**2 + 11. Let c(m) = m**3 + 2*m**2 - 6. Calculate -10*c(d) - 4*w(d).\nAnswer: 2*d**3 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/17 - 2*j**2\/17 + 240*j\/17 - 936\/17.\nAnswer: -2*(j - 6)**2*(j + 13)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 12 = 2*z. Which is the third biggest value? (a) -5 (b) 1 (c) 30 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 17494599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*s + 29. Let h = 22 - s. Let a(y) = -y**3 + 5*y**2 - 5*y - 1. Let c be a(3). Solve -c = -5*p + h*m, 0*p + 4 = 4*p - 2*m for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12580*a**3*l + 48*a**3 - 27*a**2*l - 2*a*l + 1800751*a + 20*l + 2 wrt a.\nAnswer: -75480*a*l + 288*a - 54*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 285000 and 9?\nAnswer: 2565000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 2*sqrt(162) + sqrt(162))*-6 + -3*(1 + sqrt(162) + 3))**2.\nAnswer: 71442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -2*w**2. Let i(x) be the third derivative of x**5\/10 + 8*x**2. Give b(i(p)).\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/198*3*-15*27\/(-270)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a - -16b67?\nAnswer: 16b75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 - 1 - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7795 - 3174. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -14*u - 696. What is f(-68)?\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 13496 and 155888922?\nAnswer: 623555688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5) - -11*(-6)\/(-630).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 575337 and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 6:10 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0556 + 0.055232. What is o rounded to four dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114, 228, 344, 462?\nAnswer: 582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-22)*(-3)\/(-15)*1\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 1596804.4564 to the nearest 100.\nAnswer: 1596800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21101363585 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002464038 to 7 decimal places.\nAnswer: -0.0002464","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v + 16 = -21*v. Let k be 5*v*3\/(-12). Suppose -3*d + 3*b + 60 = -0*d, -k*d + 88 = b. Calculate the remainder when 34 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.5 + -5. Which is the second biggest value? (a) 4 (b) -3 (c) u (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19dfd (base 16) to base 14.\nAnswer: 2a8a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8276436699 to the power of 1\/2, to the nearest integer?\nAnswer: 90975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7636 is divided by 1686?\nAnswer: 892","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 141 and 24?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*v + (-5 + 4 - 1)*(9 - 9 + 4*v) - 3*v + 4*v + 2*v)*(0*v - 2*v + v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/11 in 18.1, -0.5, -2\/3, -1\/10, 2\/3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -46, 70, 308, 710, 1318, 2174?\nAnswer: 3320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-9283)\/((180\/(-8))\/45).\nAnswer: 2, 9283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, p: 9}. What is prob of sequence wwwp?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}