{"text":"Question: Simplify j\/(j*j**(-17))*j**21 assuming j is positive.\nAnswer: j**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be 13\/((8\/222)\/4). Suppose -2*m - h = -6*w + w, -5*m = -2*w + 594. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 10, w: 4}. What is prob of picking 3 i?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1573) - sqrt(1573)*-4*-2)*-3)**2.\nAnswer: 693693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 208 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.685 + 0.385. What is the fourth biggest value in b, 1, -0.1, -0.15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1751 a factor of 31556522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = -264 + 263. Put y, 5, 0.3 in increasing order.\nAnswer: y, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 1880, -5196, -16980, -33466, -54648?\n\"Answer: v**3 - 2360*v**2 - 3*v + 4242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -31, -95, -159, -223?\nAnswer: -287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes after 6:53 PM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 3*l**2 - 35*l - 36. Let y(t) = -2*t**2 + 18*t + 18. Let s(z) = 3*w(z) + 5*y(z). Let o be s(-13). Suppose -12*j + 12 = -o*j. Solve -j*q + 2 = 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence djq when three letters picked without replacement from jqjdj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let 5*i**2 + 3723150*i + 3723145 = 0. What is i?\nAnswer: -744629, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -2*h**3 - 5*h**2 - 4*h - 3. Let x be u(-3). Let y = x + -32. Let l(z) = z**3 + 13*z**2 - 16*z + 2. List the prime factors of l(y).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -894, -2009, -3558, -5757, -8822, -12969?\nAnswer: -18414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + 14 + -2 - 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = -4*q. Let u be q + 0 - (-1 - -1). Let b be (-2)\/(-4)*u\/2. Solve 2*n - 4*n + 5*s = 21, b = -2*n - 5*s + 29 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 10*2\/296*216\/270\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and 4\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -14*s**3 + 8*s + 8. Let v be 6\/9*(-42)\/(-14). Suppose v*r = -5*r + 56. Let x(o) = 3 + 2*o + 0*o**3 - 5*o**3 + o. Determine r*x(p) - 3*y(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -161*a**2 + 0*a**2 - 203*a**2 to j*a**2 + f*a + l and give j.\nAnswer: -364","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9180\/450)\/(85\/150).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 292270618 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/11 in -3, -6, 3, 0.1785, -0.3?\nAnswer: 0.1785","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**2 + 4*v + 4. Let c be x(-4). Let z(f) be the first derivative of f**2\/2 + 3*f - 1. What is the units digit of z(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -29, -29, -19, 7, 55?\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be -3*(5 + 52\/(-8))*2. Solve 10 - 1 = r*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 0.05974937424 and -94811.\nAnswer: -94810.94025062576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17*k = -16*k + 1. Let c be k\/5 - (-21726)\/(-45). What are the prime factors of c\/(-46) - (-3)\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-13 - (-371132 - 12))*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify c*c*c**(-1\/52)*c*c*(c**(-20)\/c)\/c*c assuming c is positive.\nAnswer: c**(-885\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2868836\/85 - -33752. Is b greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 236106 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 31841?\nAnswer: 17, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1872)*2)**2 + sqrt(1872) + 2)*-1 - (3*(sqrt(1872)*-2 + 4))**2.\nAnswer: -75026 + 1716*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -d**2 + 2*d**2 - 813*d**6 - 95 + 2355*d**6 + d**3 - 1226*d**6 wrt d?\nAnswer: 37920*d**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1395 and 310?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -3, 13.\nAnswer: -3, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 26734 - 0?\nAnswer: 26734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (459 - (-330)\/15)\/1 is divided by 462.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -3*w**2. Let d = 7 - 6. Let m(k) = d - 1 - 2*k**2. Give m(b(g)).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = 2*b**3 + 36*b**2 + 16*b - 309. What is f(-17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 159*r - 25429 = -102*r - 170*r for r.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand -2435*v**5 + 0*v**2 - 3*v**2 + 2415*v**5 + (5*v**3 - 4*v**3 + 2*v**3)*(3*v**2 - 4*v**2 + 3*v**2).\nAnswer: -14*v**5 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**3 - 8*f**2 - 5*f + 6. Let m be w(-7). Let y be m\/42 - 6\/(-18). Is 1 <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 2\/19 (b) 1\/2 (c) 7 (d) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -4*n**2 - 8*n + 1. Suppose 2*l = b + 2, 5*b + 41 - 5 = -3*l. What is d(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57 = 6*q - 9*q + 5*m, -2*m - 18 = 0. Let 184\/7*h + 82\/7*h**q + 318\/7*h**2 + 250\/7*h**3 + 40\/7 + 6\/7*h**5 = 0. Calculate h.\nAnswer: -10, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 5 - 3)*(3*g**3 - g**3 + 0*g**3) + 39*g**3 + 4*g**3 - 17*g**3 + 4*g**3 + g**3 - 2*g**3 to the form w*g**2 + c*g**3 + y*g + v and give c.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (4*sqrt(1100) + -4)**2 + sqrt(1100) + (sqrt(1100) + (sqrt(1100) + 1)*-3)**2 + 2*(sqrt(1100) + -2 + sqrt(1100)).\nAnswer: -150*sqrt(11) + 22024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4\/9, -1\/5, -11, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 2 c when three letters picked without replacement from ccqc?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -16, 0.2, -5\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = g**2 - 11*g + 10. Determine v(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 80479 to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.16 times 6.9?\nAnswer: -1.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3.9 - 4. Let u be 1\/(-42) - (-8)\/(-56). Which is the nearest to p? (a) 0.5 (b) u (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.4 times 315.3\nAnswer: -126.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 8.061 * 4.68\nAnswer: 37.72548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1*sqrt(104))\/sqrt(8) - -2*sqrt(52)\/sqrt(4))**2 - (sqrt(117)\/(-2*sqrt(1089) + sqrt(9)))**2 - 3*((sqrt(325) - (0 + sqrt(325)))*4)**2*-3.\nAnswer: 51584\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 3 + -253489?\nAnswer: -253486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 526 divide 1122740274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 48738569, 48738566, 48738563?\n\"Answer: -3*t + 48738572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 5*s + 44. Let g be b(6). Do 72 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -130\/7 or -18?\nAnswer: -130\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) = 1026*b + 6655. Determine x(-6).\nAnswer: 499","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 536*g**3*s*y**3 + g**3*s - 5*g**2*s*y + 3*g*s*y**3 - 2*g*y**4 + 2*s*y**2 - 3*s*y + 2*s wrt y.\nAnswer: 3216*g**3*s + 18*g*s - 48*g*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*m - 7824*m**2 + 0*m + 23561*m**2 - 7822*m**2 - 7832*m**2.\nAnswer: 83*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find i such that -2*i - 2\/3*i**5 + 4*i**4 + 0 + 20\/3*i**2 - 8*i**3 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 93.86363 to 1 decimal place.\nAnswer: 93.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -160 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -0.01488 * -3\nAnswer: 0.04464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*c**5 + 2*c - 2*c + (-17*c**2 - 18*c**2 + 10*c**2)*(-2*c**3 - c + c).\nAnswer: 54*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -58 - 26 = -7*q. Let z = q - 12. Let g = 2 - 0. Solve 4 = -z*s - 4*s - g*f, 3*f = -s - 11 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 19*d**2 - 3*d - 2. Let l be v(-2). Calculate the highest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (21\/14)\/((-9)\/(-12)). Let u be (m + 0)*(1 - 0). Let w = 8 - 6. Solve -4*s = -w*s - u for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 572931545 to the power of 1\/2, to the nearest integer?\nAnswer: 23936","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zmawwwwfezwwww. What is prob of sequence efmw?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1442 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -86209, -172419, -258629, -344839, -431049, -517259?\nAnswer: -603469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - 8 = -524. Is f a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 8\/6*4*6. Let u(y) be the first derivative of y**4\/4 - y**3 - 9*y**2\/2 - 24*y - 63. Let d be u(8). What is the greatest common factor of d and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-one halves of a litre in millilitres?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Subtract 286.892 from -108.\nAnswer: -394.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -4040121 + 0?\nAnswer: -4040121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.04 or 55?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -4*c - 28. Calculate t(-1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 422345 is divided by 140736?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1413 (base 5) to base 10\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4023.\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = -221.4 - -127.58. Let r = 1.98 + 91.02. Let t = r + b. What is t rounded to one dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (27\/15)\/9 - -4. What is the third biggest value in 1, -4\/3, -4, q?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 60930*g + 8*g**3 + 3*g**3 - 60928*g + 2*g**3 - 19*g**3.\nAnswer: -6*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 21 and 192096.\nAnswer: 1344672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-8\/7))**(-16) assuming k is positive.\nAnswer: k**(128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = 5*p + i, -4*i - 14 + 4 = 2*p. Let r be (-15)\/(-8) - 53\/53. Which is smaller: p or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -445376*m + 445376*m + 32*m**3 + 38*m**3 - 3*m**3.\nAnswer: 67*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -150240041 (base 6) to base 9\nAnswer: -5744427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) be the first derivative of 7*j**4\/4 + 3*j - 5. Differentiate m(f) wrt f.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*l**5\/3 - 4*l**4 + 16*l**3\/3 + 4*l**2 - 6*l = 0. Calculate l.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6 is divided by 4\/(-2) + (3 + 7 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 260032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = 77 + -51. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 84 = -49*r + 61*r. Suppose 90 = -r*x + 405. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 7*s - 15. Let k be x(5). What is k rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, s: 7, o: 9, x: 1}. What is prob of picking 1 s and 1 x?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 4927195 divided by -833?\nAnswer: -5915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 56*k**3 + 2*k**2 - 1. Let d be i(1). Let u = -65 + d. Let z be (-3 - 65\/(-20)) + (-118)\/u. Solve 4*j = -z - 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -161*c**3 - 11*c**2 + 18*c - 2. Let s be d(9). What is s rounded to the nearest 10000?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 4\/14 - (-290)\/14. Suppose -y + k = 2*y. Suppose 4*t = 2*p - 26, 2*p - y - 19 = -3*t. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: (-1 - 71) + (-4 - (-113 + 102 + (11 - 1)))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 15752 and 352?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Work out 432 + -13.4132219612.\nAnswer: 418.5867780388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) be the first derivative of -g**3\/3 + 17*g**2\/2 + 24*g + 4. Let l be a(18). Differentiate o + o + 3 + l - o with respect to o.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - -3. Let u = 0.026 - 6.026. Let g = u + q. Which is the closest to 0? (a) -2 (b) -1\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand g - 2*g - g + (-4 + 2 + 0)*(4*g - 3*g + g) + 0*g - 12*g - g + (-2*g - 4*g + 3*g)*(4 - 1 - 5).\nAnswer: -13*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t be 115902\/30688 - 15\/4. Let z(h) be the third derivative of 14*h**2 + 0*h + h**3 - 11\/8*h**4 - t*h**8 - 13\/20*h**6 + 0 + 6\/5*h**5 + 1\/5*h**7. Factor z(p).\nAnswer: -3*(p - 1)**4*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -196661*d - 3. Let n be t(-3). Suppose 0*w + 4*g + 1180020 = 2*w, w + 4*g = n. What is w rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(216) - -2*sqrt(216)*5)\/(sqrt(576) + sqrt(576)*-2))\/((sqrt(132) + 5*2*sqrt(132))\/(-5*sqrt(176))).\nAnswer: 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q = -110 - 133. Suppose -q = -13*y + 4*y. Is y even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 g and 1 f when two letters picked without replacement from rrsgfrgfrfgfr?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from errrffeafrrfffrerbf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 117 take away 14886?\nAnswer: -14769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 245 - 245 - 2*l.\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -t**3 - 6*t**2 - 4*t - 14. Is w(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4857645?\nAnswer: 3, 5, 13, 29, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-4)\/16 + 286\/(-8). Let f = j - -73. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4, 4\/21, -121?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -b = 2*j + 5, -2*j = -5*j - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2299 is divided by 110.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 13914516 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 17\/4, 6\/17, -4, -1, 8, -9 in increasing order.\nAnswer: -9, -4, -1, 6\/17, 17\/4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = -9\/4 + 7\/4. What is the third smallest value in s, -2\/13, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 92765731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -9*o - 444. Let a be s(-50). Suppose -3 = -0*r - r. Suppose 0*z + r*z = 3*t - 24, -2*z + 2 = 0. Calculate the highest common divisor of a and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 2*r**3 - 9*r + 17. Let k be u(7). Suppose -k = -a + 235. Let o = 20989\/24 - a. Find the common denominator of -19\/32 and o.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in one sixteenth of a millisecond?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -708, -2820, -6326, -11226?\n\"Answer: -697*j**2 - 21*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117) - (sqrt(117) + -1)**2) + 5.\nAnswer: -113 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 38 + (-58 - -50) + -15?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be 0 + 43\/(-36) - -1. Let i = y + 4\/9. Let u = -8 + 9. Do u and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes after 3:10 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*u**4 + 22478*u**3 + u**2 - 2*u + 137?\nAnswer: -48*u + 134868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c = -296664 + 78615078\/265. Let h = c + 105527\/41340. Find the common denominator of -56\/9 and h.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17825 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 693299 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 69*a**2 + 3. Let g(k) = -1. What is -3*g(h) - w(h)?\nAnswer: -69*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 379398 smaller than 379400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 15) to base 7\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1 - 33\/6)*-2. Suppose -j - p = -3*s + 2*s, -3*j = 3. Calculate the highest common divisor of 16 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 621 divided by -455?\nAnswer: -621\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 83*m + 1. Let b be x(1). Suppose 2*d - 3*r = 32, 206 = 5*d + 3*r + b. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 118649.\nAnswer: 59, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -84*s**3 + 8*s**3 + 57*s**3.\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = -77*f + 3721. Let a be u(-67). What is the highest common divisor of 90 and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 11067 and 129549?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 1337820 divided by 445940\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11013*g**2 + 3766*g**2 + 15 - 14 + g**3.\nAnswer: g**3 - 7247*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = 78 - 77. Let a(i) = -2*i**2 - 2*i - 3. Let v(z) = 3*z**2 + 5*z + 7. Let h = -9 - -16. Let k(b) = h*a(b) + 3*v(b). Determine k(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 10061, 20128, 30197, 40268, 50341, 60416?\n\"Answer: l**2 + 10064*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.42 (b) -7 (c) 729\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide -11 by 640778.\nAnswer: -11\/640778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) -4\/3 (b) 3 (c) -1 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -25, -162, -509, -1174, -2265?\nAnswer: -3890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((sqrt(19) - ((sqrt(171) + 3)**2 - sqrt(19)))*-6 - (sqrt(19) + (sqrt(19) - -2*sqrt(57)\/sqrt(3))**2 + (sqrt(304)*6)**2))*-2.\nAnswer: -100350 + 950*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (0 + (-1)\/1)\/(-4*(-11)\/(-176)). Put i, -4, -2, 150 in ascending order.\nAnswer: -4, -2, i, 150","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7470971?\nAnswer: 19, 393209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 26ea0 (base 16) in base 11?\nAnswer: a9832","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 4, s: 5, g: 3, w: 1}. What is prob of sequence sswi?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -o + 26, -5*o - 22 - 1 = -2*i. Let n = 129 - 57. What is the highest common factor of n and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8? (a) 2 (b) -3 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 4, m: 12, u: 1, z: 2}. Give prob of sequence zzr.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 81345?\nAnswer: 3, 5, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 4049651 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 1128 a factor of 103992576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 109464156 to the nearest integer?\nAnswer: 10463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 76020553 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) be the second derivative of -x**7\/210 + 7*x**6\/75 + 8*x**5\/25 - 39*x**4\/10 - 117*x**3\/10 + 54*x**2 + 3205*x. Determine n, given that o(n) = 0.\nAnswer: -3, 1, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 16 (b) 13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -135384 + 191633. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1511, 3060, 4609, 6158, 7707?\nAnswer: 9256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.2 + -0.14. Let s = -0.2 + 0.66. Let l = q - s. Is -2\/5 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = 3417*s**2 - 54. Let p(y) = 6829*y**2 - 117. What is -6*p(z) + 13*x(z)?\nAnswer: 3447*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -4 (base 16) in base 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*(d**3*d)\/d*d**9)**(10\/11))**(-49) assuming d is positive.\nAnswer: d**(-6370\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*q**2 - 2*q**3 + 48*q**2 - 19*q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c**3\/5 - 17043*c**2\/5 - 238161*c\/5 - 833049\/5 = 0. What is c?\nAnswer: -5667, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(343)\/(sqrt(84)\/sqrt(48)))\/((sqrt(28) - (sqrt(700) - 1*sqrt(700))) + sqrt(28))*-2 + 4.\nAnswer: -sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -o**2 + o + 5. Let p be u(0). Find the second derivative of -224 + 4*r + 15*r**p + 224 wrt r.\nAnswer: 300*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60 = -5*r - 20. Let u = -81 + 169. Calculate the greatest common divisor of u and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3 - 27*m**2 - 113*m - 47. What is c(-22)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/8, 0.4488, -1\/2 in decreasing order.\nAnswer: 0.4488, 3\/8, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(3 + sqrt(847))*-1 + (0 + sqrt(847))*6 + -1)**2 + 5 + -4.\nAnswer: -572*sqrt(7) + 3558","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -212*-1562.642.\nAnswer: 331280.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-239)\/1434)\/((-16)\/(-18))?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-i - 2 + 2)*(4*i - i - 2*i) + 24*i**2 + 45*i**2 - 20*i**2 to the form h*i**2 + k*i + v and give h.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -2*g**3 + 4*g**2 - 2*g - 2. What is q(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*b + 5*b - b)*(-4 + b + 4) + (0*b + 0*b + 2*b**2)*(-7 + 22 + 6) + 3*b**2 - 2*b**2 + 0*b**2 + (0 + 3 - 2)*(b**2 - 2 + 2).\nAnswer: 46*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 7 = -2*y, -2*y + h + 5 = -0*h. Suppose 58 = y*r - 4*g - 114, 177 = 4*r - 5*g. What are the prime factors of r?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 12\/(-48) + 0 + -10 + 11\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 390 is divided by 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + sqrt(1573) + 0.\nAnswer: -3 + 11*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r + 5*r = 45. Suppose -33 = -2*u + q, -3*u - 2*q + 30 = -23. Calculate the remainder when u is divided by r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (-14 - 1) + 8 - (0 - 0)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 97 - 77. Let l be 112\/6 - p\/12. Let a = -49\/3 + l. Sort -40, 0.3, a.\nAnswer: -40, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -39\/4874276 and 103\/3102?\nAnswer: 14622828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -156*a + 154*a = 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 5142180.78 to the nearest 1000.\nAnswer: 5142000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) be the first derivative of -1\/5*y**5 + 0*y**3 - 2 + 0*y**4 + 0*y - 2*y**2. Find the second derivative of r(i) wrt i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/b**5)\/(b*b**3)*b**(-5)*b**(2\/7)*b assuming b is positive.\nAnswer: b**(-82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2099?\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: -42 - -88 - 161 - (5 - 9)\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -2*h**4 + 3*h**3 - 6 + 8 - 4*h**3 in the form p*h**3 + d*h**4 + f + r*h**2 + w*h and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 6.81 - 113.22. Let s = 107 + n. What is s rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -1021101 (base 3) to base 4\nAnswer: -32200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22970 = 108*f + 3706. Sort -1, 2, f, -10 in ascending order.\nAnswer: f, -10, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -153 less than 0.07?\nAnswer: 153.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = 6*k - 3. Let d(b) = -b + 2. Let y be d(0). Suppose 5*i - 5*v = 10, -4*v = -y*i - 3*i + 6. Let z(s) = -5*s + 2. What is i*l(c) - 3*z(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/(((20\/(-6))\/(-5))\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/2, -0.5, 0, 46, 3 in increasing order.\nAnswer: -0.5, 0, 1\/2, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wlwvvww. What is prob of sequence vvwl?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(9\/(-6)))\/((-572)\/910) + 3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 147 is divided by ((-85)\/10)\/(2\/(-12)).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**2 - 26*o - 14. Let i = -27 - -9. List the prime factors of f(i).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 5868280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-38)\/(5320\/315)*4\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -b**2 + 160*b - 6400 = 0. What is b?\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 145954, 584008, 1314098, 2336224, 3650386, 5256584, 7154818?\nAnswer: 9345088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 25 = -0*n. Suppose 0 = 2*t + x - 23, -3*t + 2*x = -2*t + 1. Calculate the remainder when n is divided by t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 3*f + 776 = 0, 187 = -2*w + w - f. Let c = -104 - w. Suppose -75*n = -78*n + c. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from kkkkkakka.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.3 and 123.\nAnswer: -36.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 516 and 1575672.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -0.1, 0.11, 9 in increasing order.\nAnswer: -0.1, 0.11, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*z - 2*p + 14, -13*z - 2*p + 22 = -19*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 1, n: 1, h: 1, r: 4, b: 2}. What is prob of sequence bh?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/3*(-36)\/(-8)*-2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 167 = 4*f + 16, -h + 5 = 0. Calculate the highest common divisor of f and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -3*y**2 - 95*y - 59. Let s be h(-31). Find the third derivative of -9*d**2 + 8*d**2 + 61*d**2 + 50*d**3 - 129*d**s wrt d.\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 4 = p, 7 = -4*g - 5. Suppose 0*v + p*v - 65 = 0. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*h + 70*h = 1339 + 2499. What is the highest common factor of 8 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 273 - 1389\/5. Let d = m + 22\/5. Which is the nearest to 2? (a) 7 (b) d (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/15*18*(-26)\/1560?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4934 - -3347. Is o a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 882.2948ml?\nAnswer: 0.8822948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 8*x + 25 = -2*f, 10 = 2*x + f. Suppose 4*u - 12 = 3*q, -2*u + q + 2 = -2. Let t = u + 3. Solve s - 10 = t*c - 3*s, -c - 18 = -x*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 68903 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: Calculate prob of picking 2 t when two letters picked without replacement from {t: 2, q: 16}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -52, -62, -72?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 3.31, -2, 3\/8 in descending order.\nAnswer: 3.31, 3\/8, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 2*r**2 - 91*r - 4654. Does 17 divide c(-67)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-17 - 0) + 111 + -117. Let t(d) = d**2 + 22*d - 13. What is t(p)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-11)\/(-3) + (-8)\/12. Let w be 274\/6 - 2\/n. What is the units digit of 2\/(-4) - w\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5647?\nAnswer: 5647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1000001001 - 10001?\nAnswer: -1000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1633)\/(-15) - 0 - (-4)\/30. Let f = 171 + v. What are the prime factors of f?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 2836, 5669, 8506, 11347, 14192?\n\"Answer: 2*h**2 + 2827*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from ddcwgggdeeegeeg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:14 AM and 12:14 PM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 18, 3, -8, -4, 34, -5, 4.\nAnswer: -8, -5, -4, 3, 4, 18, 34","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Factor -1\/8*g**2 + 0 - 7*g.\nAnswer: -g*(g + 56)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -4*v**2 + 2*v. Suppose -5*i + 0*i + 39 = -4*k, -9 = 4*k + 5*i. Let a(r) = 9*r**2 - 4*r. Let t(p) = k*a(p) - 13*x(p). Factor t(o).\nAnswer: -2*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g**2\/6 + 132274*g - 26244616614 = 0. Calculate g.\nAnswer: 396822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m = 2*b + 344, 8 = -m - 2*b - 160. Let i = -187 - m. Let x(h) = -h**2 - 11*h + 9. What is x(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 2*h - 85. Suppose 3*s = -19 + h. Suppose 0 = w - 1 - 1. What is the highest common divisor of s and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 12 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -12*i**2 + 447*i - 26. Calculate z(38).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 148959?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -16, -3 in descending order.\nAnswer: 3, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s*s**(-4))**(-4) assuming s is positive.\nAnswer: s**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the third derivative of 59*s**5\/60 + 50*s**2 + 23*s. Let b(o) = -2*o**2 + 14*o. What is b(x(q))?\nAnswer: -6962*q**4 + 826*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 62972045?\nAnswer: 5, 23, 547583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o = 17 + -1. Let i = o - 8. Does 4 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -102110100 (base 3) to base 4\nAnswer: -2002200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 943007 by -289.\nAnswer: -3263","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -2\/314599?\nAnswer: -2\/314599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0002358 to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -455*z**3 - 8*z - 7. Let s be w(-1). Let n = 778 - s. Calculate the highest common divisor of n and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d - 3*d + 14 = -3*i, -5*d - 3*i = -52. Let a(w) = 4*w - 5. Calculate the least common multiple of ((-16)\/2)\/(4\/(-6)) and a(d).\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3006429.\nAnswer: 3, 1002143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 357 - 1602 = 4*u - 3*n, 5*n = 3*u + 920. Suppose -2*g + 5*h + 951 = 0, -4*g + h = -h - 1910. Let z = u + g. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -43 + 63. Suppose -5*b - z = -3*y, 5*y = b - 0*y + 26. Let d = 25\/22 + -193\/165. Is b smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -978 + 0.66.\nAnswer: -977.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be -1*(5 - -2 - 6). What is the closest to -5 in m, 1\/11, -2\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/70 and 13\/1110?\nAnswer: 7770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = 25.56 - 26. Let p = -0.44000063 - d. What is p rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 times -0.07309?\nAnswer: -0.29236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1774 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*h + 7 = -4*h. Let c(a) be the third derivative of -a**5\/10 + a**4\/8 - a**3\/3 + 4*a**2. Let s be c(h). Sort s, 4, -1\/5.\nAnswer: s, -1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 408 and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 7 + (3 - 1) + -5 + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -61*f**2 + 8*f**2 - 29*f**2 + 76*f - 124*f**2 - 76*f + (-3*f**2 + 5*f**2 - 4*f**2)*(-1 + 2 + 1) to i*f + h*f**2 + a and give h.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-255)\/(-34)*4\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-8)\/(-26)*39\/66\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d**(-3\/4)\/d)\/d)\/(d\/(d*d*d**(-2\/21))*d))\/(d**(-6)\/(d*d*d*(d*d*d**(-1)*d)\/d)) assuming d is positive.\nAnswer: d**(601\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 31a55 + -2?\nAnswer: 31a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {o: 1, z: 1, w: 1, t: 1, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert -401197 (base 10) to base 14.\nAnswer: -a62cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 39 and 9191?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 6809174591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 210*w - 197*w = 15694 + 8616. What is the hundreds digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 306 - 534. Let o = 431 + g. Calculate the highest common divisor of o and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.1372 - 2450743.\nAnswer: -2450743.1372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 18*t + t**2 + 0*t**2 + 0*t**2.\nAnswer: t**2 + 18*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -u**3 + 5*u + 4. Let v be j(-2). Let q(h) be the first derivative of 15*h**3 + h**2 + h - 1. Is q(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 3\/33 + (-1)\/11. Suppose 33*x - 28*x - 20 = s. Solve 0 = -2*j - x*v - 10, -4*v = j - 7 + 22 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((-1 + 1*sqrt(72) + sqrt(72))**2*1 - ((sqrt(72) + 1 + sqrt(72) - sqrt(72))**2*2 + -2)).\nAnswer: -48*sqrt(2) + 141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 935165 and 423687.\nAnswer: 3817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 422 (base 15) in base 11?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ghgrhuzl. Give prob of picking 1 u, 1 z, and 1 h.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1961305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + (-6 - -5) + (-4 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 149, -7, -1 in ascending order.\nAnswer: -7, -1, 149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = x**2 + 7. Let g be s(0). Is 530 + g\/(14\/(-16)) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000011288341 rounded to 7 decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 1, x: 2, u: 1, k: 1}. Give prob of picking 1 e and 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-9)\/6)\/((-27)\/18). Is 5\/67 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u**2 - 16198*u + 32404 = 0. Calculate u.\nAnswer: -8101, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 3 times 0.04?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*i = -31*i - 281. Let f = i + 1973\/7. Which is the closest to -1? (a) 2\/7 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -3*f**2 + 128*f + 357. Let n be s(59). Is n <= -2534?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 110 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 35 a factor of 11418?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(f) = 81*f + 33. Let d(t) = t + 2 - 2*t + 6*t. Let l(j) = 33*d(j) - 2*h(j). Let g be l(1). Solve -v - 5*q + 8 = -9, 2*q - 12 = -g*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:45 PM and 4:46 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 6834297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -292 times -0.76\nAnswer: 221.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) = -o**2 + 2*o + 26. Calculate k(-11).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 30 + -30. Suppose 0 = k, 5*k = -n*c + 4*c. Suppose -56 = -c*j - j. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -7 - -15\/2. Let t(c) be the second derivative of -u*c**2 + 0 + 1\/6*c**3 - 3*c. Find the first derivative of t(l) wrt l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 521 is divided by 255?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -c**2 + c + 5. Let b(g) = g**2 - 6*g - 30. Let r(p) = -b(p) - 6*o(p). Let x(i) = 17*i**2. Calculate x(r(v)).\nAnswer: 425*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-378)\/45)\/42)\/((-2)\/(-16)).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*o + 5748 - 3*o - 5753.\nAnswer: 2*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 454186467?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*x - 5*a - 134 - 5456, -4*x + a + 4466 = 0. What is the remainder when x is divided by 229?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 5*s + 40 = 0. Let c be -72*s\/16*(-2 + 4). What is the greatest common divisor of 117 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 16) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000004705481304 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -3258 (base 9) to base 14\nAnswer: -c38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 191972308.14000071 - 191972307. Let f = 16.04 - 14.9. Let n = f - v. What is n rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 88*z - z - 1050 = 2343 for z.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-40)\/(-120) + (-52)\/(-6). Solve 0 = 5*u + 2*r + 12, -j*r - 24 = 4*u - 11*r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 - 3 = -2*y. What is the first derivative of 0*n + 0 - n - y + 2*n wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 8*h**2 + 12*h - 14. What is the tens digit of t(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, v: 3, u: 2, p: 2, f: 1, s: 6}. What is prob of picking 1 m, 1 p, and 1 u?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l - r = 2*r + 84, -l - 26 = 2*r. Is -2 - (-2)\/((-4)\/l) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddx when three letters picked without replacement from ddddddddxddd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v**(2\/3)*v)*v)**(-49) assuming v is positive.\nAnswer: v**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = h**3 - 8*h**2 - 20*h. Let j be q(10). Solve -r + 5 = -6*r, 3*l - 5*r - 8 = j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -50.4044 rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) be the second derivative of b**4\/12 + 5*b**3\/6 - 3*b**2 - 2*b. Let m = -9 + 2. What is the units digit of j(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2206, -5, -2 in decreasing order.\nAnswer: 2206, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 37 = -4*k, -8*q - 3*k - 33 = -12*q. Solve 7*z - q*z = -8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 399052758 to the power of 1\/2, to the nearest integer?\nAnswer: 19976","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -792*t**3 + 6*t + 735*t**3 + 56*t**3.\nAnswer: -t**3 + 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = 2*s**2. Let u = 34 - 39. Let i(b) = -6*b**2 - 3*b. Let k(q) = 11*q**2 + 5*q. Let m(g) = u*i(g) - 3*k(g). Give m(f(z)).\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5210 is divided by 84?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 103937 and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from brghhhhgrgzgagggh.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = 99039\/14 + -7078. What is the common denominator of c and ((-1)\/(28\/106))\/(-1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + 5*sqrt(425)*-1 + sqrt(425))*3.\nAnswer: -60*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*b - 5*j - 13*j + 20*j - 4 = 0, -5*j = -5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2006 to 3 dps.\nAnswer: -0.201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m = 36 - 15. Let d = -26 + m. What is the nearest to -7 in 0, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1101 + -1011111?\nAnswer: -1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3397 and 6004.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12847680 and 321192.\nAnswer: 12847680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**2\/3 + 936*j - 5624\/3.\nAnswer: 2*(j - 2)*(j + 1406)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63*x - 35280 = 33*x. Is x a multiple of 147?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together -2899084.9104 and -0.06172.\nAnswer: -2899084.97212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m - o - 8 = 0, -13 = -5*m + 2*o + 6 - 42 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-45)\/15 + -9 + 16 + 3\/(-2)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 77 and 927773?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 1, w: 11}. What is prob of sequence wwy?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) be the first derivative of -4*w**3\/3 - 30*w**2 - 56*w - 153. Find l such that i(l) = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 33 + -36.4. Let s = -0.4 - f. Let q be 6\/9 - (-17)\/(-21). Which is the smallest value? (a) s (b) -2\/7 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 390 and 9555.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3*11.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2099023?\nAnswer: 167, 12569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -63, -59, -49, -33, -11?\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -93, 5, 0.1, -124 in decreasing order.\nAnswer: 5, 0.1, -93, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = 2 + 10*s**2 - 13*s + 2*s - s**3 - 9 - s + 5. Determine t(7).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 2 t when three letters picked without replacement from {b: 1, t: 2, z: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 26*n + 5. Let s be o(0). Suppose -s*w = -18*w + 6149. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) be the second derivative of 7*o**4\/12 + 7*o**3\/6 + 5*o**2\/2 + 6*o. Calculate the remainder when c(-4) is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 2\/203, -8, 0.5, -0.5?\nAnswer: 2\/203","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -29*k*t**3 + 3*k - 13*t**5 - 3*t wrt t?\nAnswer: -174*k*t - 260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ischc. Give prob of picking 2 c, 1 i, and 1 s.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 25*y + 259 = -12*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m = 129 + -129. Is -77.2 at most m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-1\/8)\/((((h\/((h**(1\/3)\/h)\/h))\/h)\/h*h)\/h*h))**16 assuming h is positive.\nAnswer: h**(-86\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 64 + -63. Which is smaller: 2\/31 or a?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1664\/9 + 22064\/117. Let w = d + -214\/65. Suppose 6*y - y = -5, 3 = 5*r + 2*y. Which is smaller: r or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -5, 48197 in ascending order.\nAnswer: -5, 4, 48197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -106 = -18*h + 20 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 19 + 15. Let s = z - 4. Find the first derivative of -195*t**2 + 11 + 173*t**2 - s wrt t.\nAnswer: -44*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2 + -7)\/3*1. Let p(w) = -w**3 - 2*w**2 + 3. Is p(l) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 9*a = 20. Solve 2 = -5*h + 3*h - 2*q, 7 = -a*h - 4*q for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b*b**(3\/28))\/b**23 assuming b is positive.\nAnswer: b**(-585\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = -15*u - 37. Let y = -22 + 13. Let c be g(y). Let z = 280 - c. What are the prime factors of z?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(882) - (-4 + 3 + sqrt(2)).\nAnswer: 1 + 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 457 and 7.\nAnswer: 3199","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -6089 * -354\nAnswer: 2155506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 23*v**3 - 2. Let g(m) = 45*m**3 - 6. Give 2*g(q) - 5*w(q).\nAnswer: -25*q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 9128\/4 + 5 + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -168 by 14.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -229*y**3 + 215 wrt y.\nAnswer: -687*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 7\/6 of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of -110618 and 7.1.\nAnswer: -785387.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-4)\/(-12))\/(6\/(-81)*14\/(-84)). Solve -d*k + 99 - 315 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 6\/35? (a) -1\/5 (b) 7 (c) 3.3 (d) -1 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 10*q + 3. Let z(d) = 19*d + 5. Let w be 0 + -2 + 1 + -4. Determine w*b(c) + 3*z(c).\nAnswer: 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4235 and 1232.\nAnswer: 67760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide -10326806 by -2.\nAnswer: 5163403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 - 17593?\nAnswer: -17594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4487 - 4474. Solve u*a + 0*a + 39 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -136*a - 11. Let f(v) = -134*v - 9. Determine -7*f(l) + 6*z(l).\nAnswer: 122*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nqgnccn. What is prob of sequence gqnn?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -2 + 3*i**2 - 4*i**3 - i**3 + 6*i**3 + i**3 + i**4 in the form o*i + x*i**3 + l*i**2 + p*i**4 + v and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.451632mg in micrograms?\nAnswer: 451.632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.9412 (b) 0.426 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {z: 1, w: 8, o: 4}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 7 = 2*z - 22, z - 12 = -3*g. Let r(b) = 22*b**3 - 4*b**2 - 4*b - 4. Let j(f) = -23*f**3 + 3*f**2 + 3*f + 3. Calculate g*r(u) + 4*j(u).\nAnswer: -26*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d**3 + 7*d**2 - 13*d + 4. Let j = -102 + 106. Let s be k(j). Let c(u) = u - 7. Let i be c(3). Sort i, -1, s in decreasing order.\nAnswer: s, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 61387544 to the nearest integer?\nAnswer: 394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = g**2 + 8*g + 1. Suppose 4*a + n + 16 = -3*n, -4*n = -16. Let v be r(a). Solve 0 = o - 4*c - v, -1 = 3*o - 2*o - 2*c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 2*v**3 + 18*v**2 - 112. Let b be t(0). Suppose -3*s - 1 = -193. Let a = s + b. Do -47 and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 76 + -20. What is the greatest common divisor of 504 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 63 divide 878056?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 35 = 11. Suppose -5*y = -252 - 228. What is the highest common factor of y and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 68305 (base 9) to base 4\nAnswer: 23012012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1.7, 0.2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 1857860 to the power of 1\/2, to the nearest integer?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 144*r - 165 = -145*r, -2*i = -2*r - 70. Calculate the greatest common factor of 13480 and i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c**2\/13 - 210*c\/13 + 412\/13 = 0.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 395377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*g = -11*g - 5*x + 145, -4*g + 63 + 38 = -x for g.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 5872.703 millilitres to litres.\nAnswer: 5.872703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 0*v - 190 = -2*v, 4*w - v - 380 = 0. Is 19 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = s**3 - 26*s**2 + 143*s - 444. Let u be g(20). Solve 108 = -u*h - 11*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3681726*p*w + 64929100*p wrt w?\nAnswer: 3681726*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -110810 divided by 22162\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-7)*252\/(-4440)*(-190)\/(-342)?\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-2)\/(-3) - (-301199992)\/12. Round d to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1391 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k = 2*f - 195 + 179, 8 = -2*k + 4*f. Solve -5*c + 6 = k*z, 16 = 3*c - 3*z + 7 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3502 + -3447. Suppose 0 = 2*w - 4, -3*d + 0*d + 104 = w. Suppose 0 = 5*b - 25, -4*m + 5*b = 3*b - d. Calculate the highest common divisor of s and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 43\/(1892\/(-825)) - -20.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o - 5*p = -p, 2*o + 3*p = 1. Let r(u) = -3*u - 6. Give r(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 34102161 to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 3870940, 7741865, 11612790, 15483715, 19354640, 23225565?\n\"Answer: 3870925*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 182163\/20470 + 2\/2047. Let j(w) = -7*w + 1. Let g be j(1). Calculate the common denominator of 3\/g + 37\/7 and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*p + 99817 = -1772569 + 113902. List the prime factors of p.\nAnswer: 2, 7, 4831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = 2*j + 1 - 9, -y = -2*j - 12. What is the first derivative of -47 + q**3 - 11*q**y + 4 + 8*q**4 wrt q?\nAnswer: -12*q**3 + 3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*u - 98 + 53 - 61 wrt u.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -218830 + 218829.6800325. Let l = 0.32 + j. Round l to six dps.\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 24, 243, 740, 1629, 3024?\nAnswer: 5039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -50 divided by -6?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 9025 and 1273?\nAnswer: 11488825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 9504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g be -6 - (1\/1 - 0). Put -1, 4, g in decreasing order.\nAnswer: 4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 1083351528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 869717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -143*v**3 - v**2 - 9*v - 9. Let p be j(-1). Solve -35 = p*x - 149*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 96847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/9)\/x)**(-1\/4)\/(x*x*x\/(x**(2\/31)\/x)*x\/(x*x**(-1))*x) assuming x is positive.\nAnswer: x**(-6407\/1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 4 - 5 = 0. Suppose -s*h - 987 = -6*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/3*((-625)\/(-25))\/50?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1409838.2 rounded to the nearest ten thousand?\nAnswer: -1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express -4 + 486*s**2 - 2 - 688*s**2 + 1 as t*s**2 + q*s + i and give t.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -334*n + 179. Let q(k) = 1335*k - 746. Give -6*q(h) - 25*s(h).\nAnswer: 340*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 b when two letters picked without replacement from npxbobnxpowpooppppp.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l + 237 = 167. What is the lowest common multiple of 11 and (-4)\/l + (-232)\/(-28)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the second derivative of 0 + 1\/6*k**3 - 1\/2*k**2 - k. Let v be w(6). What is the highest common divisor of v and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 308428553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1 - (0 - 2 - 0). Suppose 16 = -5*f - 0*f - 3*x, u*f = 4*x + 2. Let d = f - -8. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 55492, 46087, 30412, 8467, -19748, -54233?\nAnswer: -94988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l - 3*l + 15 = 0. Suppose 0 = 4*a + 7 + 1, 2 = l*k + 2*a. Solve g = -k*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(26)\/(sqrt(18)*5).\nAnswer: -2 + sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = c**2 + c - 3. Suppose -8*i + 12 = -12*i. Is 2 a factor of z(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = 1654*p - 546. Let i be n(3). Calculate the greatest common divisor of i and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 83.5 - 51.5. Let m = -24.3109 - -0.0109. Let z = k + m. What is z rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 13 - 20. Let o be b\/(7\/(-10)) + -3. Suppose 0 = -12*d + o*d + 250. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:24 AM and 11:23 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 = -4*v - 3*k - k, -4 = -3*v + 4*k for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -31 or 386?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -139026867*v**4 + 147397159 wrt v?\nAnswer: -556107468*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 48291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -1, 1\/108, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.9865 - 0.0135. Which is the closest to k? (a) 2 (b) 1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3485654440947 minus 3?\nAnswer: -3485654440950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**2 + 16*x - 14. What is the smallest common multiple of t(15) and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/18*(-66)\/(-22).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3423 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 10 in -1\/109, 0.5, -12\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 6*t**3 - 5*t**2 + 5*t - 17. Let u(m) = m**3 - m**2 + m - 1. Calculate -f(w) + 5*u(w).\nAnswer: -w**3 + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29*n = 5*n - 68. Let r(z) be the third derivative of -4\/3*z**3 - 6*z**n + 0*z + 7\/24*z**4 + 0. What is the derivative of r(q) wrt q?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:40 PM and 5:48 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bgg when three letters picked without replacement from gbbbgbbbbb.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -5 - 14b6?\nAnswer: -14bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -19 + 105cb?\nAnswer: 105b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (10086\/(-2788) - 6\/4) + 6\/51?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = 5*u - 0. Let g(d) = 2*d - 3. Let h be g(u). Suppose -3*q = 2*z + h, -5*z + 2 = 2*q + 25. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -17\/11 and (-6)\/(-4)*1066\/429.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 889415.\nAnswer: 5, 177883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = p**2 + 7*p - 10. Let m be u(-9). Let l(d) = -12*d**3 - d**2 - d. Let f be l(-1). What is the greatest common divisor of m and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -38878, 1, -10, -3, -4 in decreasing order.\nAnswer: 1, -3, -4, -10, -38878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 2*p + 2. Calculate the smallest common multiple of 24 and q(3).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2*(60\/72)\/((-1)\/(-6)). Suppose o = -o + u. Suppose 2*i = -0*i - 10. Put -13, i, -3, o in ascending order.\nAnswer: -13, i, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -7711 (b) -0.5 (c) 7\/4 (d) 51 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = a**3 - 8*a**2 - 5. Let n be r(8). Let l = -34 + 34. Sort -1\/2, l, n in ascending order.\nAnswer: n, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 836 and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 9.9, 8, 2, 2\/11?\nAnswer: 9.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 515033385 divided by -5\nAnswer: -103006677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = -225 - -220. Let n(b) = 167*b**2 - 169*b - 10. Let v(f) = -83*f**2 + 84*f + 6. Let y(z) = m*v(z) - 3*n(z). What is the second derivative of y(l) wrt l?\nAnswer: -172","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 19*r**3 + 3*r**2 + 3*r - 3. Let q(a) = -77*a**3 - 11*a**2 - 11*a + 11. What is 3*q(n) + 11*y(n)?\nAnswer: -22*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = p - 4*l, 0 = -p - p + 5*l + 11. Let t(s) = -s + p*s - 3 + s**2 + s**2. Does 10 divide t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 198 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-35)\/(-21) + 3\/9*-23.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1\/874 - -5899\/437. Find the common denominator of -69\/232 and d.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -304*n = 2766*n + 71690 + 66873 + 88617 for n.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*j**5 + 0*j + j + 0*j**5 + (69*j**2 - 69*j**2 + 9*j**3)*(4*j**2 + 8*j**2 - j**2).\nAnswer: 103*j**5 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*y**2 + 7*y**2 + 12*y**2 + y**2 - 48*y**2 + 5*y**2.\nAnswer: -16*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 13, s: 6}. Give prob of sequence ppsp.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -12 - -15. Let f(i) = -i + 3. Let x be f(-3). Is o\/18 - (-239)\/x a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 2*c**2 + 11*c - 9. Let k = -58 - -58. Suppose 0 = -3*w + 3*z + 54, -w - 5*z = -k*z - 36. Calculate the remainder when p(-10) is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 12 - -3. Suppose 3*h + 3*t = x, -3*h + 14 = t + t. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 13205?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-45)\/(-6)*36\/(-54).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = 3*q + 3273 - 159, 1227 = 2*s + 5*q. What is the remainder when s is divided by 42?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81 = -3*f - 4*b - 85, 2*b = -2*f - 114. Suppose -t - 114 = -h, -115 = -2*t - 3*h - 348. Let u = f - t. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/21)\/(57*28\/(-294))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2 - ((-4 - -1) + 0 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 20337943 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*f**2 + 2328*f.\nAnswer: -3*f*(f - 776)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = -6*h**2 + 10*h + 10. Let a(j) = -2*j**2 + 3*j + 3. Let n(q) = 10*a(q) - 3*o(q). Let k(c) = -9*c. Calculate k(n(w)).\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -4*i**3 + 5*i - 5. Let u(n) = 2*n**3 - 3*n + 3. Let d be ((-1)\/1)\/((-6)\/30). Suppose a = -b - 4, 0 = a - d*a + b - 21. Calculate a*u(o) - 3*j(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -396*r - 4. Let d be k(1). Let b = d + 406. Sort 0, b, -4, 8 in ascending order.\nAnswer: -4, 0, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -497, -933, -1385, -1859, -2361, -2897?\nAnswer: -3473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-184)\/(-18) - (-890)\/(-89).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1358479523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14419 is divided by 209?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 68469305537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) be the third derivative of 1\/35*y**7 + 0*y**5 + 0*y**6 + 7\/6*y**3 + 6*y**2 + 0*y**4 + 0 + 0*y. What is the derivative of b(p) wrt p?\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -311 (base 9) to base 11.\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z = -17 + 9. Let l(v) be the first derivative of 0*v + 0*v**2 + v**3 + 1\/2*v**4 + z. Determine l(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 9.382411 micrograms?\nAnswer: 0.009382411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 q and 1 j when four letters picked without replacement from jqjqjjjq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 103\/310518 and -121\/644922.\nAnswer: 8383986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -26 - (-18 - 10) - 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 10*q + 2. Let n(g) = -7*g - 1. Let r be (35\/75 - 2\/(-10))*3. Let v(d) = r*h(d) + 3*n(d). Let i(f) = -5*f**2. Give i(v(x)).\nAnswer: -5*x**2 + 10*x - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h + 1120 = 290. Is 4\/(-14) - h\/(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 2*s + 2. Let x be r(4). Suppose 5*a + x = -0. Let w = a - -5. Solve -f = -w*g + 5*g - 3, 3*f + 3 = -2*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*n**2 + 620673 + 3*n**2 - 620673 - 12*n**2.\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m + 5 = 3*d, 17 = d + 4*d + 2*m. Solve 18 = -4*o + k, 2*k + 3 = -o + d*k for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -2*g**3 - 37*g**2 - 20*g - 44. Calculate v(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3967?\nAnswer: 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*w**(-1\/4)\/w*w)**(5\/8) assuming w is positive.\nAnswer: w**(15\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 45332660?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = 234.9 + -235. What is the nearest to s in -19, -2\/5, 2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 4\/27, 0.5, 1, -0.09, 0.028?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-14)\/4*(-36)\/(-42)*2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 41 - 42. Let p = h - -10. Calculate the remainder when 53 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*q**5 + 9110*q**4 + 189971*q**3 + 684546*q**2 + 749332*q + 134776 = 0. Calculate q.\nAnswer: -991, -17, -2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 5561 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 184 minutes before 3:37 PM?\nAnswer: 12:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put 2, -3, -0.5, -1\/8 in increasing order.\nAnswer: -3, -0.5, -1\/8, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1508, 1528, 1574, 1658, 1792, 1988?\nAnswer: 2258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*m + i = -16, 19*i + 32 = -m + 24*i. Let l(n) = -52*n**3 - 8*n**2 - n - 34. Is l(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -44 - -175\/4. Let x(u) = -u**2 + 0 - 6 + 3 - 2*u. Let l be x(-2). Are j and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 156 and 113880?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u - 36 - 8 = 0. Let b(g) = g**3 - 14*g**2 + g - 12. Let k be b(14). Suppose 22 = k*w - 22. Calculate the smallest common multiple of w and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 10*w + 9. Let l(a) = -4*a - 4. Let d(z) = 9*l(z) + 4*n(z). Let g(i) be the second derivative of -i**3\/3 - i. Calculate d(g(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -2046, -4064, -6084, -8106, -10130?\n\"Answer: -f**2 - 2015*f - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*y + 0*y + 5*y)*(5 - 3 + 0 + 3 + 6 - 13 + (0 + 3 - 4)*(-3 + 1 + 1) - 4 + 3 + 0 + 2 + 3 - 3 - 3 + 3 + 1) in the form w + g*y and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -4*s. Let q(x) = -965*x - 1. Calculate z(q(d)).\nAnswer: 3860*d + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -79 + 91. Suppose 0 = -a + g + 2, -7*g + r*g = a - 10. Solve 2*v + 17 = 5*w, 3*w - 3*v + 0*v - 12 = a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -34*n + 57 + 283. Calculate the remainder when 75 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -5 (b) 0.05 (c) 2\/15 (d) -0.004 (e) 2 (f) -586\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 1\/8, 840789, -0.5?\nAnswer: 840789","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2480047?\nAnswer: 79, 31393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:30 AM and 7:58 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) be the first derivative of v**3\/3 - 432. Let p(n) = -2*n**2 + 647*n. What is p(b(i))?\nAnswer: -2*i**4 + 647*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1741*g - 1736*g - 26285 = 0. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 216 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 31553170.\nAnswer: 2, 5, 11, 89, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h + 2*c + 58 = 0, -c + 47 - 1 = 3*h. Solve 2*i + 3*i = -h, -2*i + 10 = 4*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (1 - 1)*10\/(-20). Let n be 6\/(-66) + v\/1. Suppose 3*l + 1 - 13 = 0. Which is the nearest to -1\/4? (a) n (b) 0.5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4 - (-4)\/(48\/(-68))) + 0.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 2063 = 1062. Let i = w + -468. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*h**2\/4 - 5998193*h\/4 + 999699\/2.\nAnswer: -(h + 1999398)*(3*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 40 and 25226020?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.912 - 0.088. Let k = 1.8 - -0.2. Which is smaller: h or k?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -15*m**2 + 113*m - 172. Determine f(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -26*b - 2*f - 148 = 0, -5*b + 57*f + 11 = 53*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 20172.34 rounded to the nearest 100?\nAnswer: 20200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.1 (b) -0.4 (c) 0 (d) -1\/1804 (e) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*w + 4*w - 5*w)*(5270 + 2213 + 5062 + 2405 + 3789).\nAnswer: -18739*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o + 4*o - 4*o)*(41 - 6*o - 41) - 42*o**2 - 2*o**2 - o**2.\nAnswer: -39*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 124 is divided by 30.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 871 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-2*sqrt(153) - 3*sqrt(153)*2)\/(6*(sqrt(9) + -2*sqrt(324))).\nAnswer: 7*sqrt(17)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = -s + 6. Let q be g(-6). Let l = 14 - q. Is 20 a factor of (-1965)\/(-25) - l\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gggggggssgg. What is prob of picking 1 s and 2 g?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 2, v: 18}. What is prob of picking 1 j and 2 v?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 4*l**3 + 2300*l**2 = 0. What is l?\nAnswer: -575, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3*1\/(-72))\/(231\/693)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -19855, -19983, -20115, -20251, -20391, -20535, -20683?\nAnswer: -20835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*i = 3*s - 205501, i + 3*s + 13852 = 39537. What are the prime factors of i?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) 1 (c) -0.08 (d) 0.3 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i be 40\/(-100) - (14\/(-10) - 2). Solve i*s + 0 = -6 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4727.2 + 34985059?\nAnswer: 34980331.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -3.1*209\nAnswer: -647.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 5*f**3 - 9*f. Suppose 7 = 5*v - 3. Let y(j) be the second derivative of -j**5\/20 + j**3\/3 - 2*j. What is v*t(h) + 9*y(h)?\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k\/k**(-2\/9))\/(k*k\/k**(-6)))**(-44)*((k*k**(3\/13))\/((k\/(k*(k\/(k\/k**(-1\/13))*k*k)\/k*k))\/k*k))**(1\/37) assuming k is positive.\nAnswer: k**(1291373\/4329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 3*c**2 - 2*c + 3. Let p(k) = -4*k**2 + 3*k - 4. Suppose 11*b - 15*b + 63 = 5*b. Determine b*m(v) + 6*p(v).\nAnswer: -3*v**2 + 4*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3447?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7 + 5. Calculate the remainder when a is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*i = -13*i + 438. Suppose -4*s = -5*z + z - 868, -s + i = z. Suppose -3*f = -s - 403. Calculate the greatest common factor of f and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 5 + (-203)\/42 - (2 + 164\/(-24)). Let y(b) be the second derivative of -8*b**3 - 1\/20*b**m + 0 - 10*b - b**4 - 32*b**2. Factor y(f).\nAnswer: -(f + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 684146069 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = y**2 + 5*y. Let b be w(-5). Suppose -4*g = -5*a - 23, -2*g + 0*g = 4*a - 18. Let u = g + -6. Is b less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*s - 5*q - 21 = 0, 2*q - 5*q + 7*q - 136 = -s - 146 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v be 16\/20*(390\/20 - -3). Put v, -4, 4 in descending order.\nAnswer: v, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -86 - -86. Suppose 5*c + l - 6 = 1, 4*c - 11 = l. Find the second derivative of q*f**2 - f + 2*f**c - 5*f + 4*f wrt f.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/7 - (-5966)\/133. Suppose 0 = 4*t - 5*m - q, 2*m + 18 = 2*t - 2. Solve 3*b - 19 = 2*c, 0 = -3*c - 0*b - t*b + 19 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = -4*l - 4*d, -5*d - 14 = 3*l - 0*l. Suppose -2*k = 2*k - p + 2, -4*k = 5*p - 10. Suppose -3 = -2*v + 5. Solve -l*i + v = -k*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 78 = w + 4*f, f = -f. Suppose 0 = 4*r - 7*r - 2*k + 101, -4*k - w = -2*r. Let m = r + -21. Calculate the remainder when 26 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 5988 + -6009. Let r(q) = 3*q + 29. Determine r(u).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 100 and (4 - 48\/15)\/(14\/245).\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bzb when three letters picked without replacement from {c: 4, w: 7, b: 2, q: 3, z: 1}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -11780, -12058, -12522, -13172, -14008, -15030?\nAnswer: -16238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -43, -59, -101, -181, -311, -503, -769, -1121?\nAnswer: -1571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = -41 - -24. Let p = j - -29. What is the smallest common multiple of p and 9\/(28 - 19)*(-14)\/(-1)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -6 - -4b7c76?\nAnswer: 4b7c70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -19, -87, -201, -361, -567?\n\"Answer: -23*g**2 + g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cqq when three letters picked without replacement from wqqcucwwwcvuwqwc?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -244508 divided by -19.\nAnswer: 244508\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s be 20\/30 - 10\/6. What is the tens digit of 24\/(0 + s + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 41 and 14043812.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 16*h - 5*h**2 - 4*h**2 + 0 - 25*h.\nAnswer: -9*h**2 - 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 2 b when three letters picked without replacement from {t: 1, d: 1, y: 2, o: 2, b: 1, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by -13709316\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f be (1 + 1)*(-15)\/(-10). Suppose 0 = -f*r + r. Is r less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -40*h - 1. Let k be ((-2)\/(-3))\/((-8)\/36). Let r = 1 + k. Is l(r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -38 + 1437338.24?\nAnswer: 1437300.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 184962?\nAnswer: 2, 3, 29, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 46, 62, 92, 142, 218?\n\"Answer: k**3 + k**2 + 6*k + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 33\/1976 and 175\/100776.\nAnswer: 100776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (d - 9*d - 6*d)*(0 - 8 + 3)*(-4 + 5 + 0) in the form l + m*d and give m.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 55.3348 microseconds?\nAnswer: 0.0553348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 216107 is divided by 42947?\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/(-4 - (-14)\/3). Let p(v) = -v - 5 + 3 + 1. Let n be p(w). Put 4, -5, n in increasing order.\nAnswer: -5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 547 or 662.4?\nAnswer: 662.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 1a8f7 (base 16) to base 8.\nAnswer: 324367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = t. Let x(k) = -127*k**2. What is g(x(u))?\nAnswer: -127*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 77\/90 and -23\/140?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z + 8 = 2*v, z - 10 = -z + v for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/((22\/22)\/((-15)\/3)). Solve 0 = -b + 15 - u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i**3 + 3*i**2 + 4*i + 3. Determine g(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (532*m + 41 - 44 + 5 - 3*m**2)*(0*m**2 + m**3 + 0*m**2).\nAnswer: -3*m**5 + 532*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes after 6:17 PM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1157 + 100 = -7*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-8)\/(-3)*3\/(-2). List the prime factors of (18\/(-15))\/(z\/10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 162 (base 10) to base 15\nAnswer: ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/11, -1.07, -20\/19?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0002423 to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -26254456 (base 8) to base 3.\nAnswer: -102000111021122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/8*1288\/483)\/(2\/3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l - 4, -2*x - 3*l + 932 = -2*l. Let b = -202 + x. What are the prime factors of b?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 5*m**2 + 3*m + 2. Let c be -6 - -6 - (1 - -1). List the prime factors of a(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 6275555, 6275556, 6275557, 6275558, 6275559, 6275560?\n\"Answer: z + 6275554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 28.3 - 0.05.\nAnswer: 28.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 6? (a) -118 (b) 57 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -672, 7, -3, -14, 3, -26 in decreasing order.\nAnswer: 7, 3, -3, -14, -26, -672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.4 and 7.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -34 + 13. Let u = 23 + k. Suppose a + 12 = -3*p, -u*a - a = 3*p + 18. Put a, 0.2, -2 in descending order.\nAnswer: 0.2, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1, 1\/5, -4\/23, -1\/4, 77, -179?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -d - 4*s + 23, -16*d - 85 = -19*d + 4*s. Calculate the highest common factor of 12 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -795*q - 68*q - 1224*q.\nAnswer: -2087*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ehhehheehe. Give prob of sequence hh.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-1\/6))**(1\/9)*((r*r**(1\/2)*r)\/r)**(-1\/45))**(-5) assuming r is positive.\nAnswer: r**(7\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 946 and 11266?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 39501 and 437589.\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 6 = 2*p, -9 = 3*u - 8*u + 3*p. Let w be ((-3)\/2 + u)\/6. Which is the third smallest value? (a) 0.1 (b) w (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 50, -4, -0.2, 0.19, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10)\/(-24)*1008\/(-2340)*-13?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 256 is divided by 95.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -159, -147, -119, -69, 9, 121?\n\"Answer: m**3 + 2*m**2 - m - 161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -1844*w**2 - 73*w + 9. Give x(-1).\nAnswer: -1762","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 19 + -15. What is the third biggest value in b, -4, -0.01?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 + 3 - -3) + -9 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract 5.49 from 7.\nAnswer: 1.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3)\/7*-9*5\/(-105). Are a and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s when two letters picked without replacement from ssssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 93301881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-10 - 0 - (-36 - (51 + -59))) + 35?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 13*v**4\/4 - 2653*v**3\/2 + 704961*v**2\/4 - 7677745*v + 1177025 = 0. What is v?\nAnswer: 2\/13, 115, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -347*s - 17760 = -98*s + 400*s - 94*s for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1618 and -89.\nAnswer: -14.4002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p + 590 = 5*k - 272, 3*k + 3*p - 519 = 0. Let l = -123 + k. Suppose -5*q + l = -v, -5*q - v + 51 = -0*v. What is the units digit of q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 5248 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -201*j**4 - 7*j**3 + 8*j + 1431. Let m(i) = 67*i**4 + 2*i**3 - 2*i - 477. Let u(x) = -2*l(x) - 7*m(x). What is the first derivative of u(y) wrt y?\nAnswer: -268*y**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1334011549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 3138*a + 357. Is u(15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 71043133 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -4*z**2 - 437*z + 7771. Let b(f) = -7*f**2 - 656*f + 11656. Let q(v) = -5*b(v) + 8*r(v). Factor q(c).\nAnswer: 3*(c - 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/4 of a litre in millilitres?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 2*z**2 - 8*z + 3. Let b be g(-3). Let w be 9*(-3 - ((-725)\/b)\/5). Solve 0 = a - 0 + w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the third derivative of 0*z - 1\/6*z**3 + 3*z**2 + 1\/24*z**4 + 0. Let b(y) = -2*y + 2. Let h be ((-4)\/(-1))\/((-4)\/(-6)). Give h*b(a) + 11*x(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(-14) + 1660\/140.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = -78 + 202 + 2*v**2 - 123 + v. Let s(c) = -4*c**2 - 2*c - 3. Determine 5*n(l) + 2*s(l).\nAnswer: 2*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 173\/1089438 and 29\/1876?\nAnswer: 145984692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 + 16 = -29*o + 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = 78 + -43. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 28 + -14. Let m = 148 + -255. Let v = -99 - m. Calculate the smallest common multiple of v and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*d = -8*d + 6 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = 981112\/303 + -3238. Let y = 2830\/303 + f. Factor -76\/3*i - 8 + y*i**2.\nAnswer: 4*(i - 3)*(7*i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 968\/(-55) - (6\/5)\/3. Calculate the remainder when -3*(692\/(-21) - b\/63) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -i**3 - 4*i**2 + 3*i + 4. Let d be o(-5). Suppose -z = -4*c - 8, 13 = -3*z + 4*c - 3. Let v = d + z. Solve 0*x = -2*x - v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -164\/18511?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -1\/2, -2\/25, -35 in descending order.\nAnswer: -2\/25, -1\/2, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/5 in 9, -3\/7, 475, -125, 0.1, 4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*s + 30 = 20*s. Let l be ((-39)\/6 + s)\/((-1)\/154). Let n be 10 - (1 - (2 + 0)). What is the highest common divisor of n and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 65 = 3*h. Let u = 76 - h. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 + 7. Suppose t = -h - 16. Let v = 26 + h. Solve -3*i = -v*q - 5, 0 = 2*q + 3*q - 2*i + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 2, e: 2}. What is prob of picking 1 b and 2 e?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3)\/(4\/1 + (-76)\/16). Suppose 3*t - j*d = 7 + 5, -5*t = d - 43. Solve -4*v + t = 4*r, 2*r + v - 10 = 2*v for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-3)\/30*(-17)\/(170\/60). What is the nearest to u in 2, -2\/5, -0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 204711317 a multiple of 562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 710 minutes after 10:35 PM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -27*j - 34*j + 427 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -x**4 - 13196*x**3 + 20*x**2 + 405*x - 1717.\nAnswer: -12*x**2 - 79176*x + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25 = -5*d, -4*l + 4*d + 130441 + 148299 = 0. What are the prime factors of l?\nAnswer: 2, 3, 5, 23, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d, 1 v, and 1 n when three letters picked without replacement from dioodnioovvooooootoo.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in -106, -126, -158, -208, -282?\nAnswer: -386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -r**2 - 9*r + 6. Calculate k(-8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (-41)\/(24969\/58) - (-374)\/(-42)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -6*p - 107. What is the remainder when z(-20) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-1 - -1) + -427 - (-30 + (-2584)\/(-68)). Is -3471\/8 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r = -5*n - 4, -5*r + 2*n = -r - 16. Is (4\/5)\/(r\/70) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1953*5.4549.\nAnswer: -10653.4197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11816 + 38617 = 3*l + 2*p, -p = -5*l + 84068. Let j = -35643 + l. What is j rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -j**3 - 23*j**2 + 2*j + 50. Let d be x(-23). Suppose 0 = -d*b + 13*b - 90. Suppose -8*s - 4 = -b*s. Solve 9 = -s*m - m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + l**3)*(2*l + 4*l + 0*l)*(1 - 1 + 3)*(2*l + 3*l - 10*l).\nAnswer: -90*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.411235 years to millennia.\nAnswer: 0.007411235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 17 - 8. Let n(p) = -p**3 - 12*p**2 - p + 2. Let t be n(-12). Let l = t - r. Solve l*w - 10 = 2*d, 2*w - w = 5*d + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*j = j - 4*j. Suppose j = -f - 8*z + 5*z, -14 = -f + 4*z. Let o(a) = -2*a**2 + 6*a - 6. Let y(v) = v - 1. Determine f*y(n) - o(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 3 + 1 - 2 - -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, k: 9, i: 1, w: 5, h: 4}. Give prob of picking 1 c and 1 h.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -20417*l**2 + 28*l - 51. Let s = 142 + -119. Let b be x(s). What is b rounded to the nearest one million?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) be the first derivative of b**2 + 6*b - 6. Calculate the smallest common multiple of u(7) and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17351 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-763425)\/(-7830))\/(3*(-2)\/4).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z = -8 + 5. Let b(t) = -t**3 - 2*t**2 + 2*t + 4. Let k be b(-2). Put 3, -5, k, z in descending order.\nAnswer: 3, k, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72*m - 1 = -71*m. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2046823949?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 26 divide 4524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = -65 - -187. Let g = r + -78. Suppose -2*f - g = -4*f. Is f a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 214 + 218 - 411 + 56*r**3 + 20*r**3 - 37*r**3 - 21.\nAnswer: 39*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 22\/21245 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = -i**3 + 13*i**2 - 10*i - 23. What is k(12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:01 PM and 6:54 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of -143*(6 - 1\/((-1)\/(-43)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 41\/5 of a litre in millilitres?\nAnswer: 8200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Is 345 smaller than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1104)\/560*-35*(-4)\/(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -59*b*z**2 + 5*b*z - b + 1 wrt z.\nAnswer: -118*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 29 = 3*z + 16, 23 = -u + 5*z. Solve u = -18*q + 17*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -24 - -1. Let w = 15 + u. Let f = 7.7 + w. Which is the third biggest value? (a) -2 (b) -0.6 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42538.776 rounded to the nearest ten?\nAnswer: 42540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: ((-11)\/(-1))\/((12\/72)\/((-8)\/48))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 16946730354 - 0.6?\nAnswer: 16946730353.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = 15 - 9. Let g(c) = 5*c**2 - 3. Suppose 3 = -0*z - z. Let k be g(z). Calculate the highest common factor of n and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -874257 (base 9) to base 16.\nAnswer: -7f4e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-6)\/(-1) - (-4)\/(-2). Does 21 divide 21\/(-4)*(-8 + w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1410*y - 3298*y - 3400*y + 789*y - 1 + 1598*y.\nAnswer: -5721*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 417 = 2*w + 229, 4*s + 352 = 4*w. Do w and 6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from rypspscschpscch?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*o + 4*o - 6*o)*(-9 + 4 - 2 + (-1 + 4 - 1)*(0 - 3 + 4) - 6 + 3 + 1 - 1 + 2 - 3)*(-12 + 2 - 3).\nAnswer: 117*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 89573753?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 4 - 1. Suppose b*d = -4*z - 7, -d - 3*z = 1 + 3. Is (-1)\/2*d*18 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = c**3 - 7*c**2 - 8*c + 7. Let p be q(8). Suppose o = 5*w - 7, -3*o - 3*w + 12 = -p*w. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7881*b**3 + 53*b + 47563*b**3 - 25*b - 28*b.\nAnswer: 39682*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence laaa when four letters picked without replacement from aaaaaaaaalaaaaaaaa?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 75*q**3 - 89*q**2 + 187*q - 38. Calculate j(2).\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7806 + 7812. What is the highest common factor of 237 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 6*g**2 + 598*g - 829. What is c(-101)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*s**2 - 45*s**2 + 17*s**2 - 322*s**3 + 17*s**2 to the form h*s**2 + v*s**3 + x + r*s and give v.\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: (-153)\/459*7*3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2576914380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1780 is divided by 128.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -240 plus -0.01033?\nAnswer: -240.01033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-84)\/(-91))\/(-3) - (-74)\/156?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 1617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/3, 0.2, 4, -3 in ascending order.\nAnswer: -3, -1\/3, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/(-7) - (-24)\/56 - -2. Suppose 5*g - h = 6*g. Which is the biggest value? (a) 5 (b) -4 (c) 2 (d) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o + 3 = -3*o. Solve -a - 6 = -o*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 1\/22*4 + (-11096)\/528 and (-1)\/2 - -1*23?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1824.9 - -1825. Which is the nearest to i? (a) 283 (b) 1 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: -60253 (base 9) to base 12\nAnswer: -1aaa0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(s) = -140*s - 6. Let w(k) = -28*k - 1. Determine 4*p(j) - 22*w(j).\nAnswer: 56*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.0146 - -215.0146. Let b = 213.56 - c. What is b rounded to 1 dp?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -53*q**4 + 7290*q**3 + q**2 + 4022954*q wrt q.\nAnswer: -636*q**2 + 43740*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 6:53 PM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 3\/13 or 569909?\nAnswer: 569909","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g - 32*t + 30*t = 6, -4*t = -3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 5850 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3887.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 454, 452, 450, 448, 446?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0134038954 rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 129070?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 4, -49, -3, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of -2*((-177808)\/32 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 287801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.646 (b) -2\/7 (c) 8\/865\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 4*u - 75. Let b(q) = 211*q**2 - 73*q**2 - 70*q**2 - 71*q**2. Determine b(k(n)).\nAnswer: -48*n**2 + 1800*n - 16875","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1517937144?\nAnswer: 2, 3, 1291, 48991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 23*u + 114. Determine o(-6).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -130 - 106c94?\nAnswer: -1070c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4788 and 22092.\nAnswer: 1259244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*a + 4*m + 91, 9*m + 96 = -3*a + 6*m. Which is smaller: -34 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7)\/(-105) - (-2)\/(-5).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2907 is divided by 1958.\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(7) + (sqrt(112) - sqrt(28))\/sqrt(4) - ((sqrt(7) + -1)*1 - sqrt(7))**2).\nAnswer: -4 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3? (a) 1 (b) 0.02 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -264184893 divided by 88061631?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = -196 - -196. Suppose 0 = -s - u*b + 2*b + 567, -3*b = -4*s + 2258. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 671, 878, 1081, 1280?\nAnswer: 1475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in -8, 0.1, -5, -30\/11, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:48 PM and 7:38 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 46601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 53*i - 81 - 56*i + 39 + 53.\nAnswer: -3*i + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = r**2 + 176*r - 693. What is y(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (8\/10)\/(12\/660). Let c = -11 + 22. Calculate the highest common factor of c and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5406050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 56142?\nAnswer: 2, 3, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = 15*h**2 - 4 + 4. Let o(w) be the third derivative of -w**5\/60 + 4980*w**2. Determine o(g(q)).\nAnswer: -225*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 67 + 19 = -5*g, b + 20 = 2*g. Solve -13 = 5*q + 4*h + 3, 0 = -q + 4*h - g for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 782 is divided by 45.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 e, 1 x, 1 t, and 1 c when four letters picked without replacement from cffvxet.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 90667 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*s + 5 = 12*s. Suppose f = s*f - 12. Let v(q) = -f*q - q + 2*q + 0*q. Let w(h) = 4*h**2. What is w(v(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 828594 is divided by 15065.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) be the third derivative of u**4\/12 - 25*u**3\/3 - 47*u**2. Let r be n(27). Find the second derivative of 0*b - 757*b**r - 9*b + 772*b**4 wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5 and -38263196.\nAnswer: 191315980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 432?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a = -4 - -9. Suppose -2*n - n + 9 = 0, 3 = -5*y + n. Suppose -2*j + 2*x - x + 4 = y, j = 3*x - 3. Solve -a*f + j*u - 3 = -2*f, -2*f - 14 = -5*u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.066708 + -0.0627. What is x rounded to four dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 70, 3, -7, 1 in ascending order.\nAnswer: -7, 1, 3, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*u - 5*v - 1 - 15, 20 = -2*u - 4*v. Let q = -5.19841 - -0.19841. Which is the biggest value? (a) 2\/9 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 16469 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o\/(o*o**(-1\/19)))**(-1\/6))**(35\/6) assuming o is positive.\nAnswer: o**(-35\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 6a7cc0b - 3?\nAnswer: 6a7cc08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -548*w + 2600 = -223*w for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4207*t - 1215*t + 2 + 17422*t.\nAnswer: 20414*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 465*j**3 - 247*j**3 - 239*j**3.\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*l - l - 4*l)*(-2*l + 3 - 3) + (-l - 1 - 2*l + 7*l)*(l + 2 - 2).\nAnswer: 24*l**2 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) be the third derivative of 11*g - 1\/240*g**6 - 7\/48*g**4 + 0 + 1\/4*g**3 + 3*g**2 + 1\/24*g**5. Factor h(x).\nAnswer: -(x - 3)*(x - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 - 21. Let w be (1 - (4 - 1)) + u. Let y = 44 + w. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/35 in -174, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -7 - -4. Let q be 1 - -2*u\/(-6). Suppose b + 1 = q*b. Calculate the lowest common multiple of b and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 24\/32 + (-10)\/(-8). Suppose -2*x + 3*u + 2*u + 2288 = 0, a*x = -u + 2300. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -8? (a) 10\/9 (b) -4\/5 (c) -0.03 (d) 48 (e) -0.063 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 0 + 3f4a99a?\nAnswer: 3f4a99a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -381, 1, -2\/19, 3, 5, 44, 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 3*p - 801 = -7*f, 5*f - 803 = -4*p. Let q = -157 + f. Solve -3*y + q*y - 9 = 3*i, -4*y = 2*i + 16 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 25460 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 290491812?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 5*g. Suppose 2*i - 1 + 3 = 5*h, -h - 6 = -2*i. Let q(j) = -9 + 9 + h*j. Calculate w(q(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -27552600, -27552602, -27552604, -27552606, -27552608, -27552610?\nAnswer: -27552612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 12 = 6. Let i(v) = v**3 + 5*v**2 - 5*v + 8. Calculate the lowest common multiple of i(c) and (-58)\/(-3) - (-4)\/6.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -50*g - 6475. Determine m(-129).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -32 + 24 - ((-3 - -5) + -7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1 < 6\/11449?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2 + sqrt(2057) - sqrt(2057)) + -3)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -186878565 by -3.\nAnswer: 62292855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -16 + (17 - 28 - -21)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 264 is divided by 134?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -19*n**2 + 2*n + 5. What is g(4)?\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*c - 0 - 3. Let h be 2*((-5)\/1 - c). Is 7\/(-1 - h\/11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) be the first derivative of -5*l**4\/24 + l**2 - l - 5. Let n(k) be the second derivative of i(k). Let v(m) = 22*m**2. What is n(v(o))?\nAnswer: -110*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*a - 8*a + 19*a.\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -3713, -7422, -11129, -14834, -18537?\n\"Answer: q**2 - 3712*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = 3*t**3 - 155*t**2 + 654*t + 122. Determine j(47).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**3 + j**2 - j + 723. Let o be n(0). Let g = -120 + o. Does 10 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 11245673?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 304235 (base 7) to base 14.\nAnswer: 14cc5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 2 minutes before 2:42 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -451860 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 z and 1 s when four letters picked without replacement from {d: 5, s: 1, f: 3, z: 4, g: 1}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5\/4, 2\/9, 860800?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -161856*u**5 - 2*u**2 - 2636*u.\nAnswer: -9711360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) = -3*d**2 + 2. Let c(s) = -17*s**2 + 7*s - 14. Let p(a) = -15*a**2 + 6*a - 12. Let m(z) = 6*c(z) - 7*p(z). Calculate w(m(u)).\nAnswer: -27*u**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-48)\/(-132))\/((-8)\/(-44)). Let q be ((-3)\/r)\/((-105)\/(-88060)). Round q to the nearest 100.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 7027?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 - 36 = -3*s. Let p be (-6 - -5) + (-1 - -1) + 3. Suppose -c - 26 = -4*u - 8, -3*c = p*u - 16. Calculate the highest common factor of s and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -24*s**3 + 55022122*s**2 - 55022122*s**2.\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*h + 19*h - 4*n = 39, 5*n = 5*h - 35. Let c(v) = -v**2 + 17*v - 63. Let t be c(h). Factor -4 + 7\/4*r**2 - 1\/4*r**t - 2*r.\nAnswer: -(r - 4)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26 - 7501*v - 26 - 9104*v.\nAnswer: -16605*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (105\/(-6))\/(-7)*30\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 27253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -2*c. Let m(s) = -s**3 - 7*s**2 - 6*s + 8. Let n be m(-6). Let i = 3 - n. What is the units digit of z(i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -23785 - -23785.0008971. Round z to six dps.\nAnswer: 0.000897","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ljouohjhho. What is prob of sequence ju?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put -2\/9, -0.2, 0.2, -243, 3, 5 in decreasing order.\nAnswer: 5, 3, 0.2, -0.2, -2\/9, -243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(7) + 4 + (-2*sqrt(7))**2 + sqrt(700)*-2.\nAnswer: -19*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*i, -8 = 4*r - 0*i - 2*i. What is the remainder when -1 + 2\/r*-16 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/(-5) + 21\/15. Suppose 3*r = -0*r + 6. Suppose 0 = -s + 5*k - r, -2*k = -2*s + 2*k + 8. Calculate the highest common factor of s and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 16752*s - 33483*s + 16728*s - 425 as i*s + u and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 135 a factor of 11562096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 375530723 to the power of 1\/2, to the nearest integer?\nAnswer: 19379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -a - a + 18. Let f be 34\/a - 4\/(-18). Suppose -f + 12 = -4*i. Put -5, i, -3 in descending order.\nAnswer: i, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = 6*f + 10. Let g(o) = o + 1. Suppose 2*n - 12 + 14 = 0. Let a(s) = n*i(s) + 8*g(s). Let j(y) = y - 2. Let c be j(5). Calculate a(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-182)\/(-6) - 28\/21. Let w = v - 29. What is the biggest value in 4, w, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the third derivative of y**6\/40 + y**5\/20 + y**3 + 6*y**2. Let p(v) = 16*v**3 + 15*v**2 - v + 31. Let s(u) = -2*p(u) + 11*w(u). Calculate s(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -t - 10. Let w be q(-15). Let z(u) = -u**2 + 9*u - 8. Let p be z(w). Find the second derivative of -p*k**2 + k**2 - 2*k - 8*k wrt k.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 87 and 3722817.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -1 smaller than 136\/1088943?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round -4.505 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -264*l**5 - 77*l**4 + 1448*l**3 + 474346255*l**2 wrt l.\nAnswer: -15840*l**2 - 1848*l + 8688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, x: 17}. Give prob of sequence hxx.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = -24*b - 32. Let h be l(-2). Calculate the highest common divisor of 432 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 33251 (base 6) to base 7\nAnswer: 16345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1793443, -1793437, -1793431?\nAnswer: -1793425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -317 + 335. What is the smallest common multiple of u and 120?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -8*f + 80. Suppose -12 = 4*d - 3*h + 50, -38 = 2*d + 2*h. List the prime factors of v(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -3 + 1 + 8*x**2 - 5 - 23*x. Let w(q) = -4*q**2 + 11*q + 3. Let v(f) = -3*l(f) - 7*w(f). Factor v(g).\nAnswer: 4*g*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -2199, -2011, -1705, -1287, -763, -139, 579?\n\"Answer: -d**3 + 65*d**2 - 2263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 504850, 4 in increasing order.\nAnswer: 1, 4, 504850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-3) - ((-24)\/648)\/((-3)\/9).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -139 + 118.9. Let s = k + 21. Let v = s - 0.8. Which is the third smallest value? (a) 1\/4 (b) -0.1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide (2548\/(-70) + 36)*(-1 - 2679)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s**3 - s**2. Let k be j(-2). Let f be k\/(-30) + (-4)\/(-12). What is d in 2\/5*d**2 - 1\/5*d**3 + 0 - f*d = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 125, 247, 371, 497, 625, 755?\n\"Answer: d**2 + 119*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand j**4 - j**4 - 2*j**4 + (-4*j**2 + 2*j**2 + 0*j**2)*(4 + 2*j**2 - 4) + 2*j**4 - j**4 + 2*j**4.\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 85\/5664 and -73\/2880.\nAnswer: 169920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) - ((sqrt(40) + sqrt(40)*-2)\/sqrt(8) + sqrt(5)))*5 + (sqrt(40)\/sqrt(32) - 2*sqrt(125)).\nAnswer: -9*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 20004 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.84843 and -1?\nAnswer: 0.84843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -874446 - 8.\nAnswer: -874454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 9 - 5. What is the units digit of (-27)\/(-21) - k\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = -2*i + 465. Suppose i = 2*m + 5*w, -5*w + 5 = m - 65. Suppose -5*c + m = -80. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7540651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(g) be the first derivative of 1\/22*g**4 + 12\/11*g**2 - 19 + 4\/11*g**3 + 16\/11*g. Factor x(m).\nAnswer: 2*(m + 2)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 761 is divided by 191?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h = 11.4 - 11. Suppose 2*f + 2*s + 4 - 12 = 0, 3*f - 13 = -2*s. Which is the fourth smallest value? (a) 3\/4 (b) h (c) f (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000003160323 to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = 265 + -153. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 813 a factor of 1151208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = s**3 + 5*s**2 - 6*s + 6. Let d be m(-6). Let h(c) = -3 - 2*c + 14 + 3*c**2 - 2*c**2 - d. What are the prime factors of h(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t + 4*t = t. Let n(y) be the third derivative of 0 + 0*y**5 + 0*y**3 - 1\/40*y**6 + t*y - y**2 - 1\/24*y**4. Find the second derivative of n(k) wrt k.\nAnswer: -18*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*u**3 - 710*u**2 + 6244*u - 5536.\nAnswer: 2*(u - 346)*(u - 8)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 10 times 13\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10 + -63 + 60 + 2 + 0 - -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 46358, 92718, 139078, 185438, 231798?\n\"Answer: 46360*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -70 + 59 + (-52)\/44 + (-6)\/(-33)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12 - 3. Let d = m + -15. List the prime factors of 55\/3 - (-2)\/d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = n + 3 - 1. Let x be -3 + (n - (-21)\/3). Let y(l) = 2 + 3*l**x + 6*l - 2*l**2 + 1. Calculate y(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3202536 by 1067512.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**2)**(-2\/19)\/(g\/(g\/(g**2\/g)))**(2\/7))**(-16\/3) assuming g is positive.\nAnswer: g**(352\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -119\/343640 and -21\/160.\nAnswer: 1374560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) be the third derivative of 23*h**8\/336 + 7*h**4\/12 - 4*h**2. Find the second derivative of a(l) wrt l.\nAnswer: 460*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 3*t - 1. Let f(u) = 800*u**3 - 30*u - 472. Let h(b) = -f(b) - 10*i(b). Find the first derivative of h(c) wrt c.\nAnswer: -2400*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0 (b) -2\/13 (c) 0.1 (d) 5 (e) -2\/33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.3*58.\nAnswer: -17.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (10 - 12 - 1)*(l**2 + 0*l**2 + 0*l**2) + (-1 + 1 - l)*(3*l + 3 - 3) in the form y*l + t + d*l**2 and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 61*m + 5. Let f(w) = -31*w - 3. Calculate -7*f(b) - 4*q(b).\nAnswer: -27*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o = -310\/9 + 311\/9. Which is the nearest to 1? (a) -3 (b) 7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 17591 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 54*z - 51*z + 6 = -2*v, -3*z - 483 = 3*v - 480 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-2)\/3)\/((-14)\/(-21)). Let d(r) = -21*r. Does 7 divide d(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -234656 (base 7) to base 13\nAnswer: -16481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 69887021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 28021790?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Product of 4 and 98.58433.\nAnswer: 394.33732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -34 - (-42 - 0 - 9).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 2*s**2 + 12*s - 12. Let n be m(-7). Solve g = n - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 72, 4, -1, 0 in descending order.\nAnswer: 72, 4, 3, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*p - 403 - 905. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 57*h**3 + h**2 - 1. What is q(-1)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.2 - -0.8. Let t = 1 - -2. Suppose 4*i = 8, 0*q - 3*i = -t*q. Which is greater: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 814 - 812. Is i >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 20550359?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = a**3 - 5*a**2 - 6*a + 5. Suppose 0 = -5*r + 2*t - 0*t + 28, 5*r + t - 31 = 0. Suppose r*o = 3*o + 18. What is s(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 66 and 54?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = 6*v**5 + 21*v**4 + 42*v**3 - 27*v**2. Let y(f) = f**5 + 3*f**4 + 6*f**3 - 4*f**2. Let o(l) = 4*q(l) - 27*y(l). What is c in o(c) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -32, 4, 5 in decreasing order.\nAnswer: 5, 4, 1, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 22422620 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z**(-7\/5)\/z)**(-2\/53))**(-12\/5) assuming z is positive.\nAnswer: z**(-288\/1325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 93 - 107 = 7*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 250097063?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 678 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 the second biggest value? (a) -1.4 (b) -54 (c) -1448 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 172 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 3*g - 35 = -0*g, -3*l = 4*g - 20. Let p(d) = 3*d + 29. Calculate the remainder when p(l) is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 3*g - 168 = 0. Let y = g + -40. Is 11 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 2128*w - 29. Let p(l) = -l**3 - 22*l**2 - 24*l - 61. Let s be p(-21). Is a(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2198394 to the power of 1\/3, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is a42 + -2?\nAnswer: a40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23313 is divided by 78.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -1283000 to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-6)\/(-3) + -2)*1. Let t = -11 - o. What is the tens digit of t*(-1 + 2 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**2 + a - 1. Let s(l) = 5*l**2 - 20*l + 3. Let y(d) = 6*b(d) + s(d). Is 15 a factor of y(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 157836?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is (3 - 1) + -2 + (1 - 9) + -7?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 3*v**2 - 54*v + 114. Calculate the least common multiple of i(2) and 348.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -152*f - 33756 = 83*f + 347*f for f.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -7304 - 4.44\nAnswer: -7308.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -45.75 + 46. Let w = -4.15 - -4. Let z = w + p. Which is the nearest to z? (a) -4 (b) 6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o = 3*g, -2*o - 2*o = 4*g. Solve o = -3*l + 5*v - 8, -4*l + 2*v + 12 = v for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*z - 18 = 26*z. Suppose -z*n + 9223 = -4*n + 3*c, -c + 1843 = n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (3 - (-1 + (-3 - -4))) + 1. Factor 13*c**p - c**2 + 6*c**3 - 2*c - 12*c**4 - 4*c**3.\nAnswer: c*(c - 1)*(c + 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*a + 4 + 8. Let k(p) be the first derivative of 0*p**4 + 0*p**2 + 0*p**a - p - 2\/5*p**5 + 2. Differentiate k(y) wrt y.\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*y + 33 = -3*y. Find the third derivative of i**4 - 3*i**2 - 12*i**2 - 12*i**3 + 12*i**y wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -108 - -127. Suppose 5*f - i - 35 = -3*z, 4*z - 4 = -f. Let a(b) = -47*b + 2. Let k be a(-2). What is the greatest common divisor of f and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) be the second derivative of 14*u**3\/3 - u**2\/2 - 8*u. Let o(a) = -a**3 + 3*a**2 - a + 1. Let v be o(2). Is c(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iiiaxaiggaiggxiigqix. Give prob of picking 1 x and 1 a.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-20*q**2 + 57 - 57)*(3 - 3 - q) + q - q - 2*q**3.\nAnswer: 18*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = -4*h - 6. Let t be n(-2). Suppose 0 = -5*q + t*m + 63, m + 2 = -2. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14911 and 155558.\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 12 (base 11) in base 14?\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-15)\/(-70))\/3*32\/(-8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = t - 1. Suppose 56 = 5*j + 2*l - 3*l, -4*l - 37 = -3*j. Let g be i(j). Solve 0 = 3*a - 8*a - g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*f**2 + 16 + 6*f**2 - 16 - 5*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -s**5 + 17105*s**4 - 11*s**3 + 5*s**2 - 19726*s wrt s?\nAnswer: -60*s**2 + 410520*s - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine i so that -8978097 + 245*i**2 + 8978097 + 25*i**4 + 230*i**3 + 40*i = 0.\nAnswer: -8, -1, -1\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-12)\/15)\/(2\/5). Let b = 1 - g. Let j be 70\/(-2 + b + 0). What is j rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 391 = -4*b + 201, 5*b = -5*y + 710. What is the units digit of b\/10 - 4\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - j + 4 = 0. Let s(b) = -1 - 3 - 4*b**2 + j*b + 2*b**3 + 2*b**2. Let n be s(4). Calculate the greatest common factor of 40 and n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2\/288521 - -1442611\/865563. Let l = 241\/3 - 79. Factor -l*w**2 + 1\/3*w**3 + p*w - 2\/3.\nAnswer: (w - 2)*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -674*d + 505*d - 2415*d - 1043*d as t + i*d and give i.\nAnswer: -3627","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 1 + 2)*(0*u**4 + 0*u**4 + 2*u**5) + 12*u**5 - 108*u**4 + 55*u**4 + 2*u**2 + 52*u**4.\nAnswer: 22*u**5 - u**4 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w = -151 + 155. Suppose -12*f = w*f - 2032. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.005543236 to 4 decimal places.\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor h**4 - 1996346*h**3 + 996351334273*h**2 - 1992696679512*h + 996347341584.\nAnswer: (h - 998172)**2*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1160, -1316, -1670, -2318, -3356, -4880, -6986, -9770?\nAnswer: -13328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*y - c = 12, -117*y - 5*c = -116*y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 2410741 plus 1.9?\nAnswer: 2410742.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (22 - -2) + -68 + 65 + 16.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(y) = -234*y - 31873. What is p(-136)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -110*m + 6 = -2*h - 112*m, -9*h + 5*m + 71 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d + 6*d + 3*n = 10, -d - 3*n = -7. What is the first derivative of -3*k - 2 + 1 - k - d wrt k?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-1\/2))**(-3\/2)\/(l**(-2))**34 assuming l is positive.\nAnswer: l**(275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 156660792?\nAnswer: 2, 3, 53, 79, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -1, 0, 24, 1, -15 in descending order.\nAnswer: 24, 4, 1, 0, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 8*c**2 - 3*c + 3. Let q be t(1). Suppose -13*a + q*a + 285 = 5*u, -2*u = -a + 42. What is the remainder when 101 is divided by a?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 192*q + 64. Let n(t) = t - 2. Determine -c(w) - 32*n(w).\nAnswer: -224*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y + 2. Suppose 6 = -44*u + 50*u. Let p(q) = q + 5. Let c(k) = u*p(k) - 2*t(k). Determine c(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1368681.\nAnswer: 3, 31, 14717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 11186 and 282?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*f**3*m + 2*f**2*m - 3956765*f**2 + 86124846*f*m + 2*f wrt f?\nAnswer: -12*f*m + 4*m - 7913530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = j**2 + 1. Let q be (16\/(-10))\/((-1416)\/(-1770)). Calculate f(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 500*q**3 + 39*q**2 - 39*q**2 + 17 - 13 - 4*q - 6 to x*q**2 + t*q**3 + f + i*q and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sq when two letters picked without replacement from {n: 2, r: 2, s: 1, o: 2, g: 1, q: 1}?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 50\/7 - 67\/28. Calculate the common denominator of -67\/192 and h.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify k\/(k\/k**4)*k**5*k*(k**(-1))**8*(k**(-4)\/k**(2\/5))**(-41) assuming k is positive.\nAnswer: k**(912\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {h: 3, n: 2, u: 8, g: 2}. Give prob of sequence gn.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 3788 + 23?\nAnswer: 3822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 10*f = -14*f - 8, 4*z = f - 16. Sort -22, z, 2, -2 in decreasing order.\nAnswer: 2, -2, z, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 154247 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 13 + -10. Suppose 40 = -z + l*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 30 and 1120.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 167470 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.014 + -9.986. What is the biggest value in f, -0.3, 3, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 + (-12)\/8 + -1)*(-20 + -4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -262, -1130, -2554, -4540, -7094, -10222, -13930?\n\"Answer: -f**3 - 272*f**2 - 45*f + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**3 - 11*t**2 - 99*t - 9. What is the remainder when j(17) is divided by 2 + 11 - (1 - 3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/(f\/(f**2*f)))**(-33)*(f\/f**(-1\/4))\/(f**(-5)*f*f))\/((f**(-2\/5)*f)**45*(f**(-1)\/f)**(-29\/3)) assuming f is positive.\nAnswer: f**(-1693\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1600663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(2 + ((-1 + sqrt(1300) + -1)**2 - (-4 + (sqrt(1300) + (sqrt(1300) - sqrt(1300)*2))**2)))*3 + -4.\nAnswer: -23584 + 720*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z - q + 6 + 4, 2*z + 4*q - 20 = 0. Let o(m) be the first derivative of 0*m + 0*m**2 - 1\/5*m**5 + 1\/3*m**3 + 0*m**4 + z. Factor o(l).\nAnswer: -l**2*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 6445663*k + 10985668.\nAnswer: 6445663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/56 or 2719?\nAnswer: 2719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 694, 732, 770, 808, 846, 884?\nAnswer: 922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes after 8:28 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) be the first derivative of u**3\/3 + u**2 + 4*u + 1. Let a be (-4)\/(-3)*21\/14. Let h(w) = 2*w**2 + 2*w + 5. Give a*h(i) - 3*k(i).\nAnswer: i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*r - 67 - 312 + 39 = 0 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2499 divided by -2499.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z be -2 + (-160)\/28 - (31 + -39). Let w(s) be the first derivative of 4\/21*s**3 + z*s + 13 + 3\/7*s**2. Factor w(v).\nAnswer: 2*(v + 1)*(2*v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 23846520?\nAnswer: 2, 3, 5, 19, 10459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + (-5 - 1) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.036845 to two decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = 407 - 3647\/9. Is y at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (650\/(-250))\/(1\/2 + 21\/(-30))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f + 51870 = -20*d + 24*d, -d + 5*f = -12951. Is 69 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (90 - -4 - (-1 + 1)) + (71 - 152 - -76).\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 119*h + 2 + 6 + 0 - 117*h. What is the least common multiple of m(-1) and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 5107 - 30575\/6. Calculate the common denominator of a and 73\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 9*w**3 + 2793*w**2 - 37470*w + 116400 = 0. What is w?\nAnswer: -970\/3, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 698, 1385, 2076, 2771, 3470, 4173, 4880?\n\"Answer: 2*h**2 + 681*h + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = -n**2 - 2. Let x(z) = 2*z**2 + 5. Let h(s) = -5*v(s) - 2*x(s). Let d(l) be the second derivative of 5\/6*l**3 + 0 + 0*l**2 + 4*l. Give h(d(t)).\nAnswer: 25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 518, -38, -31, -1, 0 in ascending order.\nAnswer: -38, -31, -1, 0, 518","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 129345?\nAnswer: 3, 5, 8623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xr when two letters picked without replacement from {r: 3, j: 1, b: 1, z: 1, x: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 810 = -8*c. Calculate the remainder when c\/(-18) + 48 + -1 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -18849 (base 15) to base 8\nAnswer: -233206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 12655, 12807, 12975, 13165, 13383, 13635, 13927?\n\"Answer: p**3 + 2*p**2 + 139*p + 12513","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 334072 is divided by 83306?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(20)*-2)\/((sqrt(20) - sqrt(720))\/sqrt(5) - sqrt(4)).\nAnswer: 5*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + 10322?\nAnswer: 10315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*((-54)\/75)\/(-6)*5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 947108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**3\/3 + 527446*i**2\/3 - 67537664*i\/3 + 2161467392\/3.\nAnswer: 2*(i - 64)**2*(i + 263851)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1175 + 1170. Sort -3, -14, 2, t in descending order.\nAnswer: 2, -3, t, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 87472673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 151*n**2 + 6*n**2 + 44*n**2 + 198*n**2 - 41*n**2.\nAnswer: 358*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -8158907, -8158859, -8158811?\nAnswer: -8158763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -7 + 12. Suppose 2*j = -q*z + 350, -z - 2*j = -j - 67. What are the prime factors of ((-1)\/(-2))\/(3\/z)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (85\/34*16\/(-40))\/((-2)\/(-34)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2 - 0 - -2) + 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 63, 1551.\nAnswer: -8, 63, 1551","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} {"text":"Question: Simplify z*z*z**10*z*z*z\/(z\/((z**(-11)*z)\/z*z))*(z**0)**(-40) assuming z is positive.\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0 (b) 0.5 (c) 3\/13 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 250580307 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 1 + 3)*(-2*h - 3 + 3) + 6*h - 4*h + 4*h + (2*h - h + 3*h)*(-55 - 2 + 10).\nAnswer: -178*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -5.74329 rounded to zero decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -41.56307343 rounded to 3 dps?\nAnswer: -41.563","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -9 + -2 + 43 + -45 - (1 + -5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = p**2 - p + 1. Let i(t) = 3*t + 0*t**2 - 3*t - 5*t**2 - 6 + 7*t. Let o(n) = i(n) + 4*s(n). Factor o(r).\nAnswer: -(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**2 + 87*o + 27. Let y be f(62). Calculate the greatest common divisor of y and 249.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = -3*l + 5. Let z be (-21)\/9 + l\/6. Let s be (z\/((-12)\/(-2)))\/(-1). Which is the smallest value? (a) 4 (b) -4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 164*l*x**2 + 2*l + 127*x wrt x?\nAnswer: 328*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -43 divided by -19160?\nAnswer: 43\/19160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 847301 and 112812076.\nAnswer: 789684532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1765 and 3415.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 15874678 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 - 1)*(76*k - 14*k + 44681*k**5 - 44674*k**5).\nAnswer: -14*k**5 - 124*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3093416 to the power of 1\/2, to the nearest integer?\nAnswer: 1759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l = -72.29 - -62.77. What is l rounded to zero decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) = r**2 + r - 1488. What is i(-30)?\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-18)\/(-40))\/(9\/12)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 271\/204 + 1\/204. Is 0 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 1.9636, 0.1, -9.7 in decreasing order.\nAnswer: 1.9636, 0.1, -2, -9.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(2\/11)*v)\/v**5*v**(2\/7)\/v**(3\/8) assuming v is positive.\nAnswer: v**(-2407\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqqhhq. What is prob of picking 2 q and 2 h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express (-19*q - 49*q - 23*q)*(-4*q**3 + 0*q**3 - 2*q**3) as n*q**2 + h*q**4 + c + b*q**3 + z*q and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 50907242 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -3*m**3\/8 - 15*m**2\/8 + 9*m = 0.\nAnswer: -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r = -8.279 - -6.279. Let l = -0.3 - -0.6. Let k = 13 + -8. What is the third smallest value in l, r, k, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*c = c + 108 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = y**3 - 5*y**2 + 4*y + 2. Let b be t(4). Let v be (-2)\/8 + (-34)\/(-8). Suppose 2*n - v = 6. Put b, 2\/7, n in increasing order.\nAnswer: 2\/7, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 293 minutes before 12:24 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 6, q: 4}. What is prob of picking 2 t and 1 q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8 + 8. Suppose 3*w - 2*r - 164 = 0, f = -0*w - 3*w + 4*r + 166. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 214411 (base 9) to base 6\nAnswer: 2424101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 120225 and 420?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 567700 to the nearest ten thousand.\nAnswer: 570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 35363069221 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j = 16660\/9 - 523823\/288. Let t = 7\/32 + j. What is the common denominator of t and 73\/164?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3218 is divided by 1587.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p = 6153 - -1988. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 79828*n - 75747*n**2 - 79828*n.\nAnswer: -75747*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(3*10\/(-360)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 3*y - 20 = 0, -18 = 3*j + 7*y - 3*y. Which is the biggest value? (a) 4 (b) -1\/13 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t - 7. Suppose 0 = 2*d - 18 + 36. Let l be a(d). Find the first derivative of 0 - 2 - 8*m**4 - 3 - l wrt m.\nAnswer: -32*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 41*g + 39*g - 51 + 38*g + 2*g**2 - 112*g. Give r(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -29*w + 2. What is the hundreds digit of f(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -89 + 292\/3. Let t(y) be the first derivative of 10*y**5 + 1 + 8*y - z*y**6 - 58\/3*y**3 + 29\/2*y**4 - 4*y**2. Determine v so that t(v) = 0.\nAnswer: -1, -2\/5, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 9, 9, 19, 45, 93, 169, 279?\nAnswer: 429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Product of -8242 and -14686.\nAnswer: 121042012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express (-21*a - 4*a + 2*a)*(121*a - 310 + 310) as d + p*a**2 + t*a and give p.\nAnswer: -2783","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 747857.7 centuries?\nAnswer: 74785770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -4679, -5971, -7223, -8435, -9607, -10739, -11831?\nAnswer: -12883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 2*k**2 - 2 - 5*k + 4*k + 3*k + 0*k. Let l(s) = -3*s**2 - 3*s + 3. Let d(v) = 3*l(v) + 5*p(v). Let r(h) = h**2 + 3*h - 4. Determine 4*d(x) - r(x).\nAnswer: 3*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -23*f**2 + 303*f - 22. Let t be s(13). Solve -5*k + t = 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*y - 37 = 20*y + 83. Which is the smallest value? (a) -2 (b) -5 (c) y (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1617 - 1616.808. Sort j, -2, -1, -5.\nAnswer: -5, -2, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 111*w - 25. Let n be g(-42). What is n rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 163300 is divided by 2592.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 13 (b) -0.3 (c) 3\/5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -6*n**2 - 3*n + 10. Suppose 24 = 2*i - 2*y, 18 = -3*y + 3. Let s(f) = 4*f**2 + 2*f - 7. Let k be (2 - -6 - 3) + 0. Determine i*s(b) + k*h(b).\nAnswer: -2*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -10.55 and 0.2?\nAnswer: -2.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 136 (b) -4 (c) 3\/2 (d) 0.2 (e) 1\/2 (f) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*d - a + 3, 21 = 3*d - 5*a. Suppose 0 = -2*r - d*r - 12. Let b(y) be the first derivative of -y**3\/3 - 5*y**2\/2 - 4*y + 1. Give b(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 5 - -6475?\nAnswer: 647a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = 89*b + 3. Let a(o) = -178*o - 7. Calculate -3*a(j) - 7*m(j).\nAnswer: -89*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -3*t + 6. Let w(y) = 8 + 6 + 2*y - 11 + 2*y. Let k(j) = 2*j + 1. Let a(m) = -13*k(m) + 6*w(m). Determine -6*a(z) + 5*p(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 158, 1393, 4778, 11387, 22294, 38573, 61298, 91543?\n\"Answer: 179*i**3 + i**2 - 21*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -7311, -7364, -7417, -7470, -7523, -7576?\nAnswer: -7629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1\/1797 + -685\/204259. Let d = -5396\/15345 + o. Let w = -53\/990 + d. Find the common denominator of 61\/22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2\/(-12)*(-103)\/309?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve f = -f + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 45.64866 millilitres to litres.\nAnswer: 0.04564866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = 61*p - 60*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n = -12 + 15. Let h be 3\/(-2) + 76\/8. Sort 1, h, n in descending order.\nAnswer: h, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3216?\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w be (23670\/20)\/(-9) + (-3)\/(-2). Let g be (-2)\/4 + (-5)\/(-2). What is the units digit of ((-12)\/12)\/(g\/w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 46*c**2 + 10*c. Let r(o) = 45*o**2 + 8*o. What is -4*b(y) + 5*r(y)?\nAnswer: 41*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 7924711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 10 or 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert -337656 (base 8) to base 6.\nAnswer: -2242330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 143605597 to the power of 1\/2, to the nearest integer?\nAnswer: 11984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -3.441 times 19.18?\nAnswer: -65.99838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70 + 69 = -m. Let f be (-6)\/(-21) + (-4)\/(-35). What is the nearest to m in -3\/8, -1\/3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -234 - 10?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 97907538 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*m + 161*m**2 + 0*m.\nAnswer: 161*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*l*z**6 + 92*l*z**3 + 2*l*z**2 - 9*l + 2*z**6 + 8 wrt z.\nAnswer: -240*l*z**3 + 552*l + 240*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 2 w when four letters picked without replacement from wowooffwo.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 471 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -343*x**2 - 30288*x - 9155. Determine b(-88).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:15 AM and 10:00 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by 297450.\nAnswer: 1\/297450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2553 and 66.\nAnswer: 56166","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve q + 3*t - 27 = 0, 98*q - 97*q - 4*t + 29 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4648*r**2 - 2422*r**2 - 2519*r**2 + (2*r - 2*r - r)*(7*r - 2*r - 4*r) - r - r**2 + r to the form y*r + d*r**2 + a and give d.\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 2155.34377 to one dp.\nAnswer: 2155.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) 1\/4 (c) -4 (d) 1 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 1 + 2)*(-17*v - 8*v - 45*v)*(-1 - 1 - 2)*(3*v - v - 3*v)*(3 - 4 - 2)*(3*v**2 - 3*v**2 - v**3 + (-5*v**3 + 0*v**3 + 3*v**3)*(5 - 3 + 0)).\nAnswer: -12600*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -14 + 12. Let r = n - -5. Suppose 5*d = r*a - 0*a + 40, -2*a - 1 = -d. Is d a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1921.21676 to the nearest one hundred.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*u + 0 + 0 + 1)*(-45*u + 47*u - 16 - 2).\nAnswer: 4*u**2 - 34*u - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -86*v + 539 = -63. Which is the closest to 0? (a) -0.09 (b) 0.6 (c) v (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes after 5:27 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -15*u - 31. Let l(p) be the third derivative of -p**4\/12 - 4*p**3\/3 + 13*p**2. Let j be l(6). Is x(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j + 16 = 8*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.4 and 10446.\nAnswer: 10446.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*p + 33 = 5*y + 45, 0 = -2*y - 5*p + 30. Solve -2*d + 8 = y, 0*g - 5*d + 12 = -2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1366083.3796956 take away -0.05?\nAnswer: -1366083.3296956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*c = -33*c - 308. Solve -4*m = 4*p + c, 3*m = 2*m + p + 1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -4*c + 4, -2*t - 7*c + 3 = -8*c. Suppose 4*p - 5*w = 89, 0 = t*p + w + 2 - 109. Calculate the greatest common divisor of 78 and p.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 9 = k, -i = -5*i - 4*k - 12. Let z be 10 + (4 + i - 7). Suppose -7\/4*x - 5\/4*x**z - 1\/4*x**4 - 9\/4*x**2 - 1\/2 = 0. What is x?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 99 = l - 0*l. Calculate the remainder when l is divided by (1\/3)\/((-244)\/(-33672)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4514 and 17141.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 38, -2, 0.05, -1440, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 3, 0.03, 0.3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 31 divide 4004484?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1028*n - 109 + 109 + 2156*n - 1127*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = 140 + -52. Suppose 87*x = z*x - 193. What are the prime factors of x?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w + w + 3 = 3*x, 3*x + 9 = -5*w. Let v be 1 + 60\/(-21) + 4. Which is greater: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -11*g + 17. Let t(q) = -3*q + 4. What is 6*f(r) - 26*t(r)?\nAnswer: 12*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 172601515 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 6*c**4 + c**3 + 50465*c**2 - 34*c + 2064.\nAnswer: 72*c**2 + 6*c + 100930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -7838531 (b) -0.7 (c) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3038156*0.4.\nAnswer: 1215262.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o be -3 + 4\/2 + 5. Suppose -6 - o = 2*v. What is the second smallest value in v, -5\/4, 5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 67783 divided by -1\nAnswer: -67783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in thirty-two fifths of a tonne?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (53\/265)\/(((-18)\/120)\/((-6)\/1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4557370?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -3296*s + 26344. Calculate z(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Multiply 79402.189 and 0.1.\nAnswer: 7940.2189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 273941 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/10354 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 114324418 and 286.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 277807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-56)\/(-10))\/(-85*(-25)\/17000*8\/5).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 336.4618 weeks?\nAnswer: 203492096640000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -153*m + 118*m - 85*m + 3 - 3 + m + (0 - 2 + 1)*(-m - 3*m + 2*m) + (0 + 2 - 3)*(2*m + 3*m - 3*m) to f*m + s and give f.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 24213266 (base 8) to base 7.\nAnswer: 63112245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 50*h + 64 = -222 - 914 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -23\/7 and (-12)\/18*(-37)\/(-8).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*s**5 + 2*s**4 + 631*s**3 - 31132*s**2?\nAnswer: -120*s**2 + 48*s + 3786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7096 is divided by 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 14482828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (4 + (-11)\/(-3))*9?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -230 + 116. Let y be 16\/24*q\/(-4). Solve -3*i - y = -5*p - 0*i, -2*p + 1 = i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 10122, 10309, 10502, 10701, 10906, 11117?\n\"Answer: 3*j**2 + 178*j + 9941","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -233845.67 to the nearest one thousand.\nAnswer: -234000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) = 6 + 4*j + 2 + 0*j. Let f be d(7). Let z(c) = c**2 + 7*c - 69. Let n be z(-13). What is the greatest common divisor of f and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-5 - -1)*3\/(-4). Suppose 4*s - s - 48 = 0. Suppose l*o - s = -o. Solve -3*d = -o*d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 121874446.8 to the nearest ten thousand.\nAnswer: 121870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((4 - 1)\/(-3))\/1. Let t = 8 + f. Let p(w) = -w**2 + 7*w + 6. Is p(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from fuunfuubhmmfmuumbu.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hhl when three letters picked without replacement from {l: 1, u: 1, h: 2, e: 1, p: 1, v: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 153048 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -634071*r**2 + 1543368?\nAnswer: -1268142*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -329 + 339. Calculate the highest common factor of 110 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 358 divide 70496644?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 98506.25 nanograms to kilograms.\nAnswer: 0.00000009850625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 12*a**2 + 20*a - 111. Give f(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -m - 3*m + 8. Suppose 0 = -m*w, -2*s + 95 = 3*s + 4*w. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(1\/3)*r)\/(r\/(r*r\/(r*r**(3\/7)))*r)*r*r**5*r**3 assuming r is positive.\nAnswer: r**(187\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -63*f**3 - 12*f**2 + 168*f - 180. Let g(x) = -19*x**3 - 4*x**2 + 51*x - 54. Let m(y) = -33*g(y) + 10*o(y). Suppose m(v) = 0. Calculate v.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*o - 5*u - 20, -4*u + 23 = 5*o - 3*u. Put o, 0.5, -5, 2\/11 in descending order.\nAnswer: o, 0.5, 2\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 135 - 64. Let h(y) = -6 - 73*y + y**2 - n*y + 145*y. Give h(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -4*(-20)\/(-16)*-3. What is the greatest common factor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = r**3 - 51*r**2 + 702*r - 15265. Give x(43).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a be 8\/4 - (2 - 2). Suppose p = 3*y - p + 17, -y + a*p = 11. Sort y, 2, -4 in ascending order.\nAnswer: -4, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 775*x = 684*x + 817 + 457 for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*n + 2 + 7. Suppose -4*m = -n*x + 82, -3*m - 112 = -5*x + 21. Is 26 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 - (-6 + -12 + 5)) + (28 - 19) + 124.\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 3\/19 + -72\/95. Let n = -106.3 + 106.2. Which is the closest to n? (a) r (b) -1\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f be (-3)\/9 - 280\/24. Let m be 9\/f + 2\/(-8). Which is bigger: m or -8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -7*d**2 + d - 7. Let u(q) = -q**2 - 1. Let r(b) = -m(b) + 6*u(b). Let z(x) = x. What is 2*r(c) + z(c)?\nAnswer: 2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -16 divided by 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose q = 2*q - 1141. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = s**2 + 9*s - 7. Let u be g(-7). Let v = -10 - u. Solve t + 3*y - v = -0*y, 5*t - 15 = 5*y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -4 (b) -0.04 (c) -5 (d) -0.07 (e) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 377399*l + 3019194. Give g(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w**6*w*w**(-5))**(-45))**41)**37 assuming w is positive.\nAnswer: w**(-136530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(105\/(-20))*-3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -2211, -1, 177, -4, 1, 0 in ascending order.\nAnswer: -2211, -4, -1, 0, 1, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -j + 8*j**3 + 69*j**2 + 1 - 68*j**2 - 3*j**3 + 11*j to the form t*j + g + k*j**2 + o*j**3 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8392 - 1082576\/129. Let n = -2483\/516 - w. Let u = -36\/371 - 10\/53. Is u not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h + 10. Let i(o) = o - 12. Let d(c) = -5*i(c) - 6*x(c). Let s(w) = -22*w**2 + 3*w. Calculate s(d(f)).\nAnswer: -22*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -82622, -82623, -82622, -82619, -82614, -82607?\nAnswer: -82598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 533190140 and 1610?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3.1 + 3. Let p be 1\/4 + ((-14)\/8 - -1). What is the second smallest value in 0.4, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-39)\/(-6))\/((-3)\/6). Let d = z + 8. Let m be (-4)\/(80\/12)*d. Solve -m*x - 2*p + 3*p = -4, -x = -p - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1621946091 and 1.\nAnswer: -1621946091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 517735109281+9.7\nAnswer: 517735109290.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.3128 (c) 48 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*f + 5*f - f + (5*f - f + 0*f)*(-7 - 1 + 3) to the form g*f + w and give g.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = 9*l**6 + 3*l**5 - 3*l**3 - l**2 + 3*l. Let k(t) = -t**5 + t**3 - t. Let o(v) = -2*g(v) - 6*k(v). Find the third derivative of o(s) wrt s.\nAnswer: -2160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2208.1765 and 275675?\nAnswer: 273466.8235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -352470, -1409879, -3172236, -5639547, -8811818?\n\"Answer: -i**3 - 352468*i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -i**3 - 6868562*i**2 - 241*i + 32898 wrt i.\nAnswer: -6*i - 13737124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*l**3*q**2 + 273985*l**3 + 171014*l*q**3 wrt q?\nAnswer: 4*l**3*q + 513042*l*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.17 - -0.05. Let q = t + -0.220013. Round q to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6, -5, 8, 39, 94?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 46 = 2*l - 5*n - 2*n, 2*n = 3*l - 35. Solve 0 = 8*i - 49 + l for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1 + -2. Let c(x) = -7*x. Let v be c(q). Let w(r) = r + 3. Let s be w(-3). Solve -3*f = -m - v, s*m + 3*f = -5*m + 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -6*t**2 + 2774*t + 11180. Give m(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 440 by -22.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((65 + -5)\/(-10))\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -4.4 - -4. Let v = 14.4 - 14.5. Which is the closest to v? (a) 3\/7 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27.04032m in micrometers?\nAnswer: 27040320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-145)\/10)\/(2\/4). Let c be i + 5*4\/10. Let r = 26 - c. Does 12 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-234)\/(-351))\/((-1)\/(-255)). Solve -s*a + 178*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 2*d = -2*z + 3872, 5*z + 3*d = 9711. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0 - (-8)\/3 - 22\/33. What is the greatest common factor of a and 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 457 + (-6 - -6)*2\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 265352 - 1598539\/6. Let a = m + 1071. Let l be ((-1)\/(-4))\/((-1)\/(-6)). Put a, l, 2\/9 in decreasing order.\nAnswer: l, 2\/9, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 49614 + 331*o - 49614 as v + w*o and give w.\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 2*a + 6. Let j(i) = -148*i + 7. Let n(y) = -533*y + 25. Let s(g) = 18*j(g) - 5*n(g). Give s(f) - u(f).\nAnswer: -f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -282*d**4 + d**2 - 69*d + 1?\nAnswer: -3384*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 425809, 1 in decreasing order.\nAnswer: 425809, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 - -0.1734995?\nAnswer: 0.2734995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2030, -4061, -6092?\nAnswer: -8123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -3380.0689 rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1.18, -1, 15204?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 674 a factor of 1600274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11*o + o - 6*o + 2*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -p**2 + 11 + 10 - 3 + 23*p**3 - 7 wrt p?\nAnswer: 69*p**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (158*w + 24*w**4 - 158*w)*(-1 + 1 - 2*w).\nAnswer: -48*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 475233 by -6.\nAnswer: -158411\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 4*i. Let a be m(3). Suppose -2*x = x - 12. Suppose -x*v = 12, -a - 4 = -5*b - 3*v. Solve b*z + 3 = 13 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3177690 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: Expand 30 - 29 - 8*o**3 + 8*o + 2*o**3 + (-4 - 4*o + 4)*((4 - 2 - 1)*(0*o**2 + o**2 + o**2) - 22*o**2 + 10*o**2 - 9*o**2).\nAnswer: 70*o**3 + 8*o + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:47 PM and 4:57 AM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n be -2 + 2 + -3 + 1. Suppose 4*y - 3*o = -y + 201, 3*o = 3*y - 117. Let j be y\/(-98)*7\/(-4). Which is the nearest to -1? (a) n (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**2 - 20*q + 66. Calculate r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the second derivative of 5*k**4\/12 - 365*k**3 + 239805*k**2\/2 - 22*k - 7. Suppose w(h) = 0. What is h?\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*g + 5*l + 5481665, 541*l - 538*l + 4111242 = 3*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 536649.\nAnswer: 3, 41, 4363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4052 + 28*x - 4052 + 0*x + 5*x - 3*x + x + x - 3*x + (-2 + 1 - 1)*(1 + 2*x - 1) + 5 - x - 5 + x - x - x + 2*x + 5*x - 4*x to o + c*x and give c.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 15*l - 18*l - 24. Let u(s) = -s**3 - 9*s**2 - 8*s - 2. Let z be u(l). Let d = 265\/7 - 38. Which is the second smallest value? (a) z (b) 1\/3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2355862198.\nAnswer: 2, 11909, 98911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 8*c + 9. Let q(r) = r + 1. Let h be 0\/1*2\/6 + 2. Let g(i) = h*w(i) - 18*q(i). Let d(l) = -l. Calculate d(g(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 576 minutes after 5:22 AM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i - 5*p + 4 = 0, 2 = -3*i - 3*p - 2*p. Let s = i - -9. Suppose b - 4 - 23 = 0. What is the remainder when b is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = 2*q + 33. Let l(w) = -4*w - 68. Let b(p) = 5*i(p) + 2*l(p). Let o(n) = -3*n**2. What is b(o(c))?\nAnswer: -6*c**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*b**3 + 4*b**3 + 0*b**3)*(-4 + 4 + 2*b) - 4*b**4 + 4*b**4 - 2*b**4 - 6*b**4 - b**4 + 4*b**4 + (b + 0*b + 0*b)*(18*b**3 - 31*b**3 + 19*b**3).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor a**5 - 2383923*a**4 + 1894365340560*a**3 - 501783280123910400*a**2 + 1505332791148032000*a.\nAnswer: a*(a - 794640)**3*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26029*j - 71806*j - 51994*j.\nAnswer: -97771*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from twgtpnwvwntwwnpvptpw. What is prob of picking 2 v?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Factor -10*x**5 + 28*x**2 + 64*x**4 - 2 + 27*x**3 - 26*x**4 - 48*x**3 - 2*x - 31*x**3.\nAnswer: -2*(x - 1)**4*(5*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14549 is divided by 14535.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*t**3 - t**3 + 0*t**3)*(4 - 3 - 2 + (9 - 8 - 15)*(2 + 0 - 1)).\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = -c**3 + 11*c**2 + 14*c - 13. Let h be g(12). Suppose 12*p - 1235 = h*p. Suppose 0*q - p = -13*q. List the prime factors of q.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 26818.6 micrograms to milligrams.\nAnswer: 26.8186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 158 + 186 - 344 + 4*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 174*j**3 + 2*j**2 - 2*j + 829.\nAnswer: 1044*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 237547.\nAnswer: 237547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-54)\/8)\/((-3)\/(-6))*(-21296)\/3993?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 - 2 = -i - 2*l, -l - 2 = 0. Suppose -3*k = -i - 2. What is the least common multiple of 3 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*i**2\/3 - 338*i\/3.\nAnswer: 2*i*(i - 169)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = 71*d. Let y(r) = -395 + 195 + 2*r**2 + 200. Give j(y(o)).\nAnswer: 142*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*v - 3*o = -0*v + 9, -2*v + 1 = -o for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = 2*q + 15. Let n be c(5). Let k = 24 - n. What are the prime factors of 1*k\/(-1) + 19?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2.8 (b) 2\/7 (c) 4\/3 (d) 0.1 (e) -1 (f) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 158453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a = 15870 + -11030. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 58, 116, 174, 232?\n\"Answer: 58*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 134*m + 4*m + 2*m - 140*m + 3*m - 12*m**3.\nAnswer: -12*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -18668013*d**3*l**2 - 13932*d**2*l**2 + 149*l**2 - 2*l wrt d?\nAnswer: -112008078*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 820 - 49 = 302*w - 45*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 270 - 2*i - 4*i + 8*i.\nAnswer: 2*i + 270","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 492*x + 727*x - 1 - 4515*x - 2230*x + 1.\nAnswer: -5526*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = 17 - 2. Let a = 5 - z. Solve -a*m = -p + 13, 5*p + 0 = -m + 21 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1417, 2855, 4293, 5731, 7169, 8607?\nAnswer: 10045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 17249315079 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 674*k**2*o**2 + 6*k**2*o - 86*k**2 + 7464*k*o - 110*o**2 wrt k?\nAnswer: 1348*o**2 + 12*o - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - -18) + -42 + 157 - (-2 + 10 + -14).\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = 8*u**2 + 11. Let m(x) = x**2 + 1. Let o(k) = -a(k) + 6*m(k). What is the first derivative of o(j) wrt j?\nAnswer: -4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = 7*i - 48. Suppose 5*l - i = 3*q, 3*l = -5*q + q - 16. Let m(n) = 3 - n + 0 + l*n - 2. Let a(v) = -5*v + 5. Calculate -a(f) + 6*m(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -5*z + f, 0 = f - 3. Let s be 1\/(-1)*(z - 6). Solve 3*x - 3 = -0*q + 3*q, -5*x + s = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6853966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45 + 41 = -2*a. Suppose 15*v - 5*v + a*v = 0. Solve -4*c - 10 - 10 = v for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*b + 94 - 130. Let l be (204\/(-952))\/((b\/(-4))\/3). Let o = -0.3 - -0.2. Sort l, o, -3.\nAnswer: -3, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) = -6*m - 2. Calculate h(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (27\/2)\/27*(-3)\/(27\/(-4)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -120985.7790204 + 121240.7791. Let q = v + -255. What is q rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -22*l - 2. Let h(t) = -43*t - 4. Let q(j) = -3*h(j) + 5*n(j). Let k(y) = -2*y**2. Give k(q(d)).\nAnswer: -722*d**2 - 152*d - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x be 6\/2 - ((-122670)\/24530 - -8). Let s = -122656\/7359 + x. Calculate the common denominator of s and 65\/21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 28758556819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2\/7 or -3.865484?\nAnswer: -3.865484","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w be -3 + -14 + 32 + -11. Solve 0 = -p + 1, -5*p = -3*m + w*m - 1 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 12835 to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -65, -314, -733, -1322?\n\"Answer: -85*d**2 + 6*d + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -6 + 44*q + 1 - 43*q. Give u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n + 5 = -19. Suppose -f - n*f = -10. Put f, 5, 4, -1 in increasing order.\nAnswer: -1, f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -51070000 rounded to the nearest 1000000?\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*g + 41191 = 2320. Is 34 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1855 + 0*v + 933 + 788 - 6*v**3 + 0*v to b*v**2 + y*v**3 + k + f*v and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put 0.01, 0, -1\/3, -0.0100514 in decreasing order.\nAnswer: 0.01, 0, -0.0100514, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 101121111000 (base 3) to base 4.\nAnswer: 302333031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -26925 + 27022. Suppose 2*w + 0*w - 4 = 0. Suppose w*x = -n + 555. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the third derivative of 1\/30*c**5 + 0 - c**3 + 1\/24*c**6 + 0*c**4 + 0*c - 3*c**2. Let t(y) = -14*y**3 - 6*y**2 + 17. Determine -11*m(p) - 4*t(p).\nAnswer: p**3 + 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) be the third derivative of 163*c**6\/120 - c**5\/60 + c**4\/24 + 11*c**2. Let h(t) = -t**2 - 5*t + 1. Let r be h(-5). Is v(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 6110322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 586684681 to the power of 1\/3, to the nearest integer?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9 - 5. Let z(l) = 8*l**3 + l**2 - l + 1. Let k be z(1). Solve b = q*b + k for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kjjjjjkkjkjjjjkj. Give prob of sequence jkjk.\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -p**3 - 2*p**3 + p**3 + (-3178*p**2 - 31 + 2*p + 1589*p**2 + 1601*p**2)*(-5*p + 3*p + p) to s*p**3 + k*p**2 + i + g*p and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 485039.1 millennia in years?\nAnswer: 485039100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(35)\/(sqrt(5) - sqrt(30)\/(sqrt(6)*-1)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 194\/781 + -392\/71. Sort -1\/4, 5, a, -2.\nAnswer: a, -2, -1\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4*a**3 - 5853*a**2 + 4*a - 25431 wrt a.\nAnswer: 24*a - 11706","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**2\/13 + 16*u\/13 + 18\/13.\nAnswer: -2*(u - 9)*(u + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n - n - n - 15)*(51 + 171 + 96).\nAnswer: -636*n - 4770","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + 17 = 97. Calculate the remainder when 30 is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -20*4\/(-32)*46\/(-460)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 12478202617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -i**2 + 55*i - 248. Let h(l) = 6*l**3 - 4*l**2 + 9*l. Let d be h(2). Determine s(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 44*b + 0*b - 90*b to f*b + s and give f.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 2*u**3)*(-u**2 + 0*u**2 + 0*u**2) - 20*u**5 - 10*u**5 + 38*u**5.\nAnswer: 6*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 78*p - 74*p. Suppose -5*v + 2*l + l + 1085 = p, 0 = 4*v + 4*l - 836. List the prime factors of v.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 607.0694 tonnes?\nAnswer: 607069400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 19739449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-1 + (sqrt(117) - ((sqrt(117) + 1 - sqrt(117)) + -3)) + sqrt(117))**2.\nAnswer: -2814 - 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 38189285 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express 221*u**3 - 3*u**2 + u**2 - 112*u**3 + 3*u - 2*u**4 - 26 - 96*u**3 + 0*u**4 in the form x*u**4 + k + a*u**3 + v*u**2 + h*u and give k.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2285 - -2286. Let w = 8 - 4. Which is the nearest to q? (a) w (b) 14 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 50 - 70. Let w = -12 - k. Calculate the least common multiple of w and (-2)\/(-6) + (-26)\/(-3).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-6331684)\/136)\/((-1)\/2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (1 - 4)\/(-1) - -5. Let o(m) = -m**2 + 20*m - 8. Let k be o(x). Let h = k - 61. Is 10 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -226 (base 9) in base 4?\nAnswer: -2322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2166405903 a multiple of 3937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(6\/5)\/i*i*i**(-1\/3) assuming i is positive.\nAnswer: i**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(1573)*-3 + 3)**2 + -5*(-2*sqrt(1573))**2*6.\nAnswer: -174567 - 396*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 5376 + -151?\nAnswer: 5225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -484*z + 243 = -483*z. What is the remainder when z is divided by 66?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2191\/108 + 445\/27. Calculate the common denominator of 79\/36 and l.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1499.\nAnswer: 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (((-2)\/20)\/((-3)\/234) - 486\/54)*30\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:28 PM and 11:59 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 77\/5 + -16. Suppose -3*l - 43 = -40. Which is smaller: l or u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify v**(-5)*v**(-3\/4)*v*(v**(1\/4))**(7\/2)*(v**1\/v*v*v)**(6\/19)*v**(4\/5)\/v**(6\/11) assuming v is positive.\nAnswer: v**(-24987\/8360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and -5466.2788.\nAnswer: -1093.25576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j = 827 - 270. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14501?\nAnswer: 17, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**3 - 16*k**2 - 19*k + 15. Determine n(17).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a gram in micrograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3232, 3237, 3242, 3247, 3252, 3257?\nAnswer: 3262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 12c47 (base 13) to base 14.\nAnswer: cab0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -k**6 - 299*k**5 + 41992*k**2.\nAnswer: -120*k**3 - 17940*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -1104*r + 1106*r = -10*k + 26, -2*r + 7*r + 10 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-120)\/105)\/((-4)\/14)*32\/(2944\/(-2093))?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 2*n - 2, -3*s = -4*n - 275. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-21 - (18 - 13 - (5 - -3))) + -10.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*g + 31*g = 7296. List the prime factors of g.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 26 and 335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put 17862.3, -2\/7, -1, 3 in descending order.\nAnswer: 17862.3, 3, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**3 + 5*t**2 - 12*t - 54. Give s(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 6*v**2 - 15*v + 30. Let w(s) = -7*s**2 + 14*s - 31. Let k(c) = -6*t(c) - 5*w(c). What is k(19)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 19966706.2927 - 19962350. Let q = b - 4356. Let j = q + -0.29. Round j to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -12 - -10. Let w be (1 - 1)\/3 - p. Suppose -4*m + 278 = -w*m. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the second derivative of p**8\/26880 - p**7\/3360 + p**6\/960 - p**5\/480 + p**4\/12 - 2*p. Let h(x) be the third derivative of r(x). Factor h(n).\nAnswer: (n - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d + 20 = 5*u, -7 = -3*d + 3*u - u. Let w be 8\/d*474\/8. Suppose r - w = -0*o - 5*o, -3*o - r = -94. What is the remainder when o is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 3802*t**4 - 4691*t + 208. Let b(d) = -1901*d**4 + 2345*d - 96. Let y(x) = -13*b(x) - 6*q(x). What is the second derivative of y(h) wrt h?\nAnswer: 22812*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 117.065 times 0.13\nAnswer: 15.21845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = -o + 15, -1 = o + 5*h + 4. Suppose 4*l - o*l + 10 = 0. What is the remainder when 43 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0\/(-7) + (-2)\/(-6)*1. Let q(n) be the second derivative of x*n**3 - 2*n + 0 - 3\/2*n**2. What is the derivative of q(f) wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {g: 1, h: 3, s: 7, z: 1, q: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (1*-1)\/((-6)\/(-168)*7)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be (((-3)\/6)\/1)\/((-2)\/12). Let p(i) = 17*i - 49. Let h be p(3). Determine v, given that 10\/13*v**y + 0 + 2\/13*v**4 + 8\/13*v + 16\/13*v**h = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve 297*f - 375 - 6408 = -60*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -7841 divided by 1199?\nAnswer: -7841\/1199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5587 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 6*a**2*n*o**3 - a*n*o**3 + 8*a*n*o - 2*n*o**3 - 57*n*o**2 wrt a?\nAnswer: 12*a*n*o**3 - n*o**3 + 8*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -6490149 rounded to the nearest 10000?\nAnswer: -6490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 33*n**6 + 2763*n**5 - n**3 - 1991*n**2 - 19*n wrt n?\nAnswer: 3960*n**3 + 165780*n**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n. Let h(v) = -223717373*v. Give g(h(k)).\nAnswer: 223717373*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5 + -1. Let u(y) = y**3 + 5*y**2 - 7*y - 6. Let c be u(s). Suppose c*z + 580 = 4*z. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4431082.\nAnswer: 2, 2215541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 920084 and 22.\nAnswer: 920084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20348 is divided by 6746?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*g + 111 - 14 - 1)*(-19*g - 6*g + 34*g) - 4 + 4*g**2 + 4.\nAnswer: 22*g**2 + 864*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(-44)*46 - (-4)\/(-22).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 4\/(2*(-2)\/8). What is the remainder when 194\/4 - w\/16 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 14\/(-2) - 798\/(-105).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -604370 divided by -13\nAnswer: 46490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -87 - -35535?\nAnswer: 35448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let j be 6\/(-10) - 368\/(-80). Calculate the remainder when 14 is divided by 3 + (j - 3\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2453*g + 18 = 2455*g + 5*u, 5*g + 4*u - 28 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -74.958*0.28.\nAnswer: -20.98824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -115\/6 and -97\/165540.\nAnswer: 165540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 + 1 + -2 + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 11001021 (base 3) to base 14.\nAnswer: 110a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -311*w + 274*w + 174196. List the prime factors of w.\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} {"text":"Question: Let l = -0.4 + 0.6. Let a = 5805 - 5805.4. What is the closest to -23 in a, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.128 + -33.872. Suppose 3*r + 5*o = -9, -r + 4*o - 6 = -3. Which is the third biggest value? (a) -0.5 (b) 2 (c) l (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (800\/(-80))\/(2\/1)*-1*(-4)\/(-35)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 475 a factor of 39522375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*u - x = 11, 3*u - 2*x + 4*x = -4 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*n + 7*f = 5*f - 14, -2*n + 11*f - 4 = 0 for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {f: 1, k: 3, c: 1, r: 3, d: 2, x: 2}. What is prob of sequence rkrk?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 955997.5 centuries?\nAnswer: 95599.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -0.458 - -0.527. Let y = 1.931 + r. Which is the nearest to 1? (a) -1\/4 (b) -3\/4 (c) y (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - -2) + (2 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the second derivative of i**3\/2 + 7*i**2 + 2*i. Let w be j(-10). What are the prime factors of 4 + (1 - 3) - w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5.983 + 1.983. Let p = 0 + 0.12. Let m = -0.1 + 0.6. Which is the second biggest value? (a) m (b) p (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5843650594 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = c - 0*c + 3*y, y + 11 = 5*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-386)\/(9\/3 - 5). Let y = 83 - j. Let t = y + 768\/7. What is the closest to -1 in t, 0.2, 6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 30 + -26. Solve 0 = -3*k + c*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 15 - 15. Let v be (-70)\/(-12)*(-1)\/(-7). Which is bigger: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -12*b**2 + 180*b + 75. Let q(p) = p**2 - 2*p - 5. Determine 15*q(l) + v(l).\nAnswer: 3*l**2 + 150*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4571 - 5186. Which is the second biggest value? (a) 1 (b) -0.4 (c) w (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -5\/3, -0.096, 104, 5?\nAnswer: -0.096","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 8551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-43 - -46)*(0\/(-1) - 1). Let k be 2*(l + (-69)\/(-6) + 2). What is the greatest common divisor of 21 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s, 1 r, and 1 i when three letters picked without replacement from {e: 1, i: 5, r: 1, j: 3, s: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.027 - 1.973. What is the nearest to 0.1 in 4, f, -4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in -0.4, -3, 595.4, -4\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 45266?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/11 in 66, -1\/3, 2, -1\/2, 371, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c = -5*n + 1, -30*n = 2*c - 29*n + 7 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -66, -66, -64, -60, -54?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 19.34449*-0.02\nAnswer: -0.3868898","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: Let t be 4*4\/8 + -1. Let i = -3 - -2. Let b = t - i. Solve -5*y - 7 = b*j, y = -j - 3*j + 13 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:06 PM and 4:33 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m**2 - 9*m + 2. Let w be c(9). Let b be 8\/(-24) + w\/6. Suppose 3*k = k + 4. Solve b = k*n - 8 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 84 and 1236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.03 - -4.97. Let u be 218\/11 - (-408)\/2244. What is the smallest value in u, -5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 826*i - 3*i**2 - 825*i - 11 - 49 to x*i**2 + v + r*i and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -3, -1, 60 in increasing order.\nAnswer: -5, -3, -1, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x + 3470 = -1363. Suppose 5*z - 3*a = x, 4*a = 5*z + 3*a - 1617. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11*u - 11*u + 10*u = g + 47, 0 = -5*g - 305*u + 307*u - 43 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 235\/(-1551)*(-132)\/12\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48 and 1200?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -154629 + -4.\nAnswer: -154633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 14520881863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 40510 + 4?\nAnswer: 40514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 8) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 2 m when three letters picked without replacement from umannxm?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) be the third derivative of -1\/60*a**5 + 0*a**3 + 0 + 0*a - 7*a**2 + 0*a**4. Let m(c) = 12*c. Determine m(y(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:46 PM and 4:14 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*g**2\/5 - 26*g + 32\/5 = 0. Calculate g.\nAnswer: 1\/4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 5*140\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k = -10.75 - -10.65. Which is the closest to 1? (a) 2 (b) 266 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wi when two letters picked without replacement from {w: 1, i: 11}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 100*n - 171*n + 2982. Suppose 0 = t - 2*t + 70. Calculate the remainder when t is divided by n.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ejoiwwey. What is prob of picking 1 e and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-1)*f*f)**(1\/43)*f**4\/(f*f**(-3\/2)\/f*f) assuming f is positive.\nAnswer: f**(389\/86)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 + -106603?\nAnswer: -106587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*r + 2*r - 2*r)*(-7*r + 2*r + 3*r) + 0*r**2 - r**2 + 3*r**2 + 4 - 14*r**2 - 4 + (-r + 4*r - 5*r)*(15*r - 90*r - 111*r).\nAnswer: 356*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13264 is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*(2\/36)\/1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 20526 is divided by 6831.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11119 = 2*o + u - 0*u, -o + u + 5552 = 0. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**3 - 5*c**2 - 4*c + 1. Let q be d(-3). Let r be (13 + (-1160)\/87)\/(3\/(-9)). Let s(a) = -7*a + 4. Let f(v) = -v + 1. Give q*f(h) + r*s(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/8*8\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3 - -11. Let i be 3 + 0 - (5 + -1 + 0). What is the units digit of i\/(1*(-1)\/r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ppffppfffpffppvpfffp. Give prob of picking 2 f.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/8*((-7150)\/78)\/(-55)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dddn when four letters picked without replacement from {n: 5, b: 1, d: 14}?\nAnswer: 91\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 46.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -21*k**3 + 4. Let p(w) = -28*w**3 - w + 5. Calculate -5*n(z) + 4*p(z).\nAnswer: -7*z**3 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 50518118 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g = 528804912\/3521 + -150186. Let o = -87629\/232386 - g. Let s = 1\/22 + o. Is -2\/13 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 411277939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = -9*q - 15. Let a(s) = s**3 + 3*s**2 - 11*s - 24. Let l be a(-4). Let u(x) = 13*x + 14. Let g(w) = l*j(w) + 3*u(w). Calculate g(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1425 by -1420.\nAnswer: -285\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/5 (b) -37.8 (c) 0 (d) 2\/7 (e) 0.8 (f) -7\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14 - 6 - 21697*z - 18682*z + 20.\nAnswer: -40379*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (-4)\/2 - (-8)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 315 minutes after 5:02 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence fzj when three letters picked without replacement from {z: 1, a: 1, f: 1, j: 1, m: 2, e: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -j**3 - j**2. Let b(m) = -m**3 + 6*m**2 - 2*m. Give b(w) + k(w).\nAnswer: -2*w**3 + 5*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -3221*y + 310836 = 1486*y + 37830 for y.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 125389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-65 + 35 - 40)*(0*t**4 + 2*t**4 - 11*t**4)*(-1 - t + 1).\nAnswer: -630*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 406 minutes after 12:04 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 105 = -2*m + 95 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1274?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-48 + 2*p + 48)*(5 + 6 + 1 + 0).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:19 AM and 2:19 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 435 = 5*v, -5*v + 2*d + 177 = 633. Let g be ((-4)\/v)\/(19\/228). Suppose 8\/15*y + g + 2\/15*y**2 = 0. What is y?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 8*v + 9*v**3 - 6*v**3 - 4*v**3 + 3 - 3 - 3*v**3 + (v - 2*v - v)*(-3*v**2 + 2*v**2 + 3*v**2).\nAnswer: -8*v**3 + 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 181 and 492424437?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -2*n**3 - 189*n**2 - 2620*n - 67. Determine i(-17).\nAnswer: -322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -441*z - 1779. Give k(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 80 and 688?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -8*x + 11. Let q = -25 - -20. What is the units digit of r(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1274 = -10*q + 108*q. Solve q*d - 17*d + 20 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 7446 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/66*4*-1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 229*p**3 + 264*p**3 - 381*p**3 - 22*p**2 + 22*p**2 - 3*p**3 + (-p + 0*p + 0*p)*(-1 + 1 + p**2) as r + i*p + g*p**2 + m*p**3 and give m.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Do -262 and -0.0532 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((81\/12)\/(-3))\/6.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 37 at most as big as 648\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 4, n: 14}.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 1064 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 80394 or 69?\nAnswer: 80394","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/11 + 0*v - 2\/11*v**2.\nAnswer: -2*(v - 1)*(v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 5, 9923, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*n + 9 = 0, n - 15 = 8*m - 4*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 458801 to the nearest integer?\nAnswer: 677","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4329 + 0.5.\nAnswer: 4329.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be 10\/(-12) - 2\/(-3). Let d be (-10)\/12*3*(-6)\/45. What is the closest to -1 in u, 11, d?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -2*((-45)\/21 - -2). What is the nearest to 0.3 in -0.4, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 196970.28 months to years.\nAnswer: 16414.19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f + 1. Let i be b(1). Let c(s) be the first derivative of 3*s**2\/2 - 2*s + 351. Give c(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1857*((-228)\/(-38))\/(3\/3).\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 312.8 minus -16.41?\nAnswer: 329.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = -t**2 + 35297*t - 6425879. Determine r(183).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 345413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 621742 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -1231 (base 4) in base 16?\nAnswer: -6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -213*g**3*r - 2*g**3 - 3*g**2*r + 8*g**2 - 6*g*r + 4*r + 539 wrt g.\nAnswer: -1278*g*r - 12*g - 6*r + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 231 and 495?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*d + 3*l + 56, -5*l - 43 + 12 = -3*d. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*d = -5*d - 12000. Suppose -4*j - 1028 = -d. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + sqrt(5) + 4 + sqrt(10)\/(sqrt(20)\/sqrt(10)) - ((sqrt(35)*-2)\/sqrt(7) + (1*sqrt(245))**2)) + -4.\nAnswer: -240 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 639 + -1789498\nAnswer: -1788859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13.5 + -14.5. Suppose w = 3*l + 1, 4*l + 12 = -4*w - 0*l. Which is the third smallest value? (a) w (b) -0.3 (c) s (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 3, a: 2, b: 3}. Give prob of picking 3 b and 1 l.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3 + 11. Suppose 8*q + 0*q = -3*q. Suppose -y = -4*d + b, -2*d - 2*d + 2*y + 8 = q. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 2*y + y - 4 - 2*y + 3. Let x be d(2). Is ((-30)\/(-35))\/(x\/14) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -464 - 0.3.\nAnswer: -464.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from btlklktkbelk. Give prob of sequence lklb.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 625 minutes before 1:29 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 27\/270*173\/(-3) and -61\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -6*w - 1. Suppose 1 = -2*t - 3. Let q be o(t). What is the highest common factor of q and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 14271 - 14229. Is 217\/5 less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -2*a**2 - 4*a + 2. Let c(p) = 3*p**2 + 5*p - 2. Let x be -10 - (4 + (1 - 7)). Let j(k) = k**2 + 9*k + 4. Let n be j(x). Calculate n*h(l) - 3*c(l).\nAnswer: -l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 141630, 145538, 149446, 153354, 157262?\n\"Answer: 3908*a + 137722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l + 1. Let s(w) = -16*w + 18. Calculate -72*a(i) + 4*s(i).\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1305, -2594, -3873, -5142?\nAnswer: -6401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -z + 8 = -h, -h = 4*z + 19 - 1 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*m - 1 = -4*s, m = -3*s + 68 - 51 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (905*d**2 + 1686446*d - 1686446*d)*(-4*d + d + d + (1 + d - 1)*(-2 + 2 - 1) - 2*d - d + 4*d) + 0*d**3 + 0*d**3 + d**3.\nAnswer: -1809*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = -26486555542.99999723 + 26486555304. Let i = n + 239. What is i rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -48 + 56. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6*1\/(-65))\/(((-10017)\/315)\/53)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.1 + 1.9. Which is the nearest to 2? (a) -1\/4 (b) -1\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 133311 divided by -3?\nAnswer: -44437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -51*s**2 - 5*s + 56. Let a(m) = -76*m**2 - 7*m + 84. Let c(t) = -5*a(t) + 7*h(t). Differentiate c(d) wrt d.\nAnswer: 46*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 553 minutes before 3:58 PM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50 - 12 - 10 + 21*k - 11 - 6 - 9.\nAnswer: 21*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/1*6\/8?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((2*o + 1 - 1)*(0 + 2 - 1) - o + 5*o - 3*o + 5*o - 3*o - 4*o - 14 + 118*o - 6 + 19)*(-6 + 2 + 0)*(-1 - 1 + 0) to the form a*o + c and give a.\nAnswer: 952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (sqrt(12)\/sqrt(4) - sqrt(3)) + (sqrt(54)\/sqrt(3))\/sqrt(6) - (-2*sqrt(3)*-2 + 3)) + -4.\nAnswer: -6 - 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4 and 12106.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -78*l**3 + l**2 + l. Let o be c(-1). Suppose 7*s = 5*s + 4. Suppose -h - s*h = -o. Calculate the greatest common divisor of 39 and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v - 3*v + 904 = 0. What is the remainder when v is divided by 46?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1492 + 1536. Suppose d*v = -25 + 113. Factor 2\/3*t**v + 5\/3*t**3 + 0*t + 0 + 1\/3*t**5 + 4\/3*t**4.\nAnswer: t**2*(t + 1)**2*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*z - 30*z + 155991. Let l = 13434 - z. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 34299 + 37276 = 2863*a for a.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -746, -547, -128, 583, 1658?\nAnswer: 3169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 195628 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00005165414 to 6 decimal places.\nAnswer: 0.000052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 66, 60, 54, 48, 42, 36?\n\"Answer: -6*d + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*j + 14 + 1 = -4*r, 2*r = -10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6*p - 3 + 3)*(4 + 2 - 5 + (136 + 88 + 19)*(2 + 0 + 0)) to the form f + i*p and give i.\nAnswer: 2922","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 169834, 339848, 510036, 680398, 850934, 1021644, 1192528?\n\"Answer: 87*w**2 + 169753*w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 9073.31 centuries to millennia.\nAnswer: 907.331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (300\/24720)\/((-15)\/(-24))?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/19340620 and -71\/20.\nAnswer: 19340620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -3*q**2 - 2*q + 1. Let s be t(2). Let r = 53 - s. Calculate the remainder when r is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*o**2 + 5364*o - 5360.\nAnswer: -4*(o - 1340)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 5 = 1. Suppose -4*l - c = 10. Let g(x) = -3*x + 7. Let v be g(l). Calculate the highest common divisor of 16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/(6800\/24)*595\/(-714)?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 12*w**2 - w**2 + 4*w**2 as c*w + t + k*w**2 and give k.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4100 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -8*k**2*y + 23329620*k**2 + k*y - 193*k + 4438*y + 30 wrt k.\nAnswer: -16*y + 46659240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*n - 10*n = 40. Let f(s) = -2*s**3 + 17*s**2 - 5*s + 6. Let z be f(n). Let l(h) = 4*h. Let x be l(3). What is the highest common factor of x and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uuuujjuuuujujuuujuu. What is prob of sequence ju?\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x**5\/5 + 12*x**4\/5 + 57*x**3\/5 + 42*x**2\/5 = 0 for x.\nAnswer: -2, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = 5*v - 6883, 1369 = v + n - 4*n. Let s be 8\/(-2)*v*20. Round s to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -7747, -7752, -7767, -7798, -7851, -7932, -8047?\n\"Answer: -g**3 + g**2 - g - 7746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let 255*t**3\/4 + 249*t**2 - 1371*t\/4 + 30 = 0. What is t?\nAnswer: -5, 8\/85, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -746*q + 743*q + 738609. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 26, 57, 88, 119, 150, 181?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 4 + 5 + 4*b + 2 - 10. Let w be q(0). Is 4\/7 not equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (108\/(-1485))\/((-2)\/(-5))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/j**(2\/3))**45*j**(-2\/11)*j**(4\/3) assuming j is positive.\nAnswer: j**(533\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 45 + 39. Let s be (a - 0) + (15\/(-5) - 1). What is the highest common factor of 360 and s?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 2 c, and 1 y when four letters picked without replacement from {c: 4, h: 4, y: 4, i: 3}?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 2924240 to the nearest one hundred thousand.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2839220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9 and 1455016.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) be the third derivative of 3*w**4 - 29*w**3\/6 - 150*w**2. What is the derivative of c(s) wrt s?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 22 + -28 + 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:03 AM and 5:12 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (-g**2 + g**2 + 2*g**2)*(7*g**2 + 10*g - 10*g + (5*g - 4*g + 2*g)*(3*g + 0*g + 0*g)) in the form p*g**3 + w + n*g + m*g**4 + b*g**2 and give m.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -17311006, -17311013, -17311034, -17311075, -17311142, -17311241, -17311378?\n\"Answer: -n**3 - n**2 + 3*n - 17311007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Convert -1c50 (base 16) to base 13.\nAnswer: -33b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the third derivative of f**4\/8 - 7*f**3\/6 + 6*f**2. List the prime factors of k(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5956 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1537047315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1\/32 - -17\/32. Suppose 6*p + 6 = 3*p. Let w = -2 - p. Which is greater: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a millennium in years?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 12776353?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 14 = -3*u + v, -64*u - 8 = -60*u + 4*v for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(3 + ((sqrt(1331)*2 + sqrt(1331))*4*-1 - -3*(1 + sqrt(1331) + sqrt(1331)*2))*-1)**2.\nAnswer: -71874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7659*-7.\nAnswer: 53613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 - -4214233300?\nAnswer: 4214233302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*v - 4494 + 29470 = 0. What is the greatest common divisor of 14 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -89*y**2 - 100*y**2 + 316*y**2 + 40*y**2 - 81*y**2 - 85*y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2 + ((-25)\/4)\/5. Let i = 4.5 + -4. Which is the second smallest value? (a) i (b) 0.3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -32716 = -4*u - 4*a, -6*a + 9 = -3*a. Is 40 a factor of (8\/(-14))\/((-4)\/u*8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -399*310718.\nAnswer: -123976482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -9*f + 4*f = -3*r - 11, -3*r + 5 = -f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c*c*c**13)**(-5\/3)*(c**(-5))**40 assuming c is positive.\nAnswer: c**(-680\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1489 is divided by 1460.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -159 + 157 - (-17 + 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = -72 + 108. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*s - 8 = 8. Let w(l) = -l**s - 2*l + 2*l - 4*l - 1. Calculate w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 223198427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} {"text":"Question: Let o(f) = 19*f**2 - 49*f + 65. Does 76 divide o(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = n**3 + n**2 - 2. Let u(f) = f**3 + 2*f**2 - 2*f - 2. Let w(s) = -s**3 + 13*s**2 - 2. Let c be w(13). Let q be u(c). Is 9 a factor of j(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 32367956?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 3707496141 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**2 - 7*w + 4. Let n(z) = 2*z**2 + 3*z - 2. Let b be n(-3). Let x be s(b). Suppose -2*t + x = -20. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 16 and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) 1 (b) -9 (c) -1\/133 (d) 1\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 16*z**5 - 55*z**4 + 2*z**3 - 2*z**2 - 12*z - 8 wrt z?\nAnswer: 960*z**2 - 1320*z + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1\/95 + 101\/570. Let k be (-2 - 94\/(-46))\/(-1). Let g = k - 39\/161. Which is greater: g or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 640006*a**4 - 123*a**3*n**2 - a*n**2 + a*n - a + 12*n**2 - 1114216 wrt a.\nAnswer: 7680072*a**2 - 738*a*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -492*n + 31453. Determine j(64).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t\/(t*t**(-1)*t))**(-10\/9))**(-34)*t**(-4)*(t*t**(-2\/5))\/t*((t**(-2\/5)*t)\/t)**(4\/39) assuming t is positive.\nAnswer: t**(-866\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3 (b) -244.3 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.1706455229 and 0.12229.\nAnswer: -0.0483555229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.045*1120.22.\nAnswer: 50.4099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*a + 4*a = -12. Suppose a*n + 8 = -0. Let r be (n\/4)\/((-3)\/48). Solve r = 5*f - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -18206689900 to the nearest 1000000.\nAnswer: -18207000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = 182 - 385. Let t(i) = -i**3 + 15*i**2 - 4*i + 3. Let m be t(6). Let x = z + m. Is x a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the second derivative of -9*r**5\/20 + 391*r**4\/4 - 65*r**3 - 458*r. Determine s, given that l(s) = 0.\nAnswer: 0, 1\/3, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*t - 3*n + 7, 1475*t = 1473*t + 3*n + 8 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 41, -4, -147, -388, -727?\nAnswer: -1164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c + 2*c - 3*c)*(0 - 1 + 2) + (-4 + 2 + 3)*(5*c + 5*c + 3*c).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 2*d = -u - 1290, 0 = -d + 4*u + 315. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {j: 5, r: 3}. Give prob of sequence rr.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o**3\/7 - 94*o**2 - 8050*o - 51842 = 0. Calculate o.\nAnswer: -161, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 1, z: 2, x: 1, c: 1, d: 1, u: 1}. What is prob of sequence cuh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(j) = -11*j. Let d(m) = -2*m**2 + 3. Give p(d(w)).\nAnswer: 22*w**2 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1448?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27350 is divided by 9564?\nAnswer: 8222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2\/117 (b) 3 (c) -0.4 (d) -0.09 (e) -124 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 1, e: 1, a: 3, v: 3, l: 5}. Give prob of picking 1 a, 2 v, and 1 l.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate (750\/45)\/5*2\/15.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 18 and 30018.\nAnswer: 90054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 0 + 29aaadc?\nAnswer: 29aaadc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g\/(g*g**(1\/6))*g)\/g**7*(g*g\/(((g**(-3\/7)*g)\/g)\/g*g))\/(g*g**(8\/5)*g))**23 assuming g is positive.\nAnswer: g**(-35443\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/3*r**3 - 105*r**2 - 385875 - 11025*r.\nAnswer: -(r + 105)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 1215 divided by 405\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 525*n**2 - 34*n**3 - 1045*n**2 + 520*n**2 + 785*n**3.\nAnswer: 751*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 110270 - -16624?\nAnswer: 127114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b when two letters picked without replacement from sbssssssbbsbbbbs?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 13271*-16\nAnswer: -212336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h be 45\/6*(-10)\/(-25). Suppose 4*c - 56103 = 5*c + 3*j, c + 56097 = h*j. What is c rounded to the nearest one thousand?\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z**3 - z + 1. Let m(y) = 2*y**3 - 5*y + 9. Determine -5*c(b) + m(b).\nAnswer: -3*b**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*-9.596.\nAnswer: 19.192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = 544501\/315560 - 4\/7889. Let f = -9\/8 + n. Let m = -0.6 - -1. What is the nearest to 0.1 in 2\/11, m, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 + 2*b**2)*(b + b + 0*b) + (2*b - 3*b + 3*b)*(0*b + 4*b + 0*b)*(-1 + b + 1).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4 in -2256, 3\/2, 7\/55?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z = 404 - 602. Calculate the common denominator of -143\/42 and 227\/z - (-2)\/9.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((r*r**(2\/31))\/(((r\/(r**(-6)\/r))\/r)\/r))\/((((r\/(r*r*r*r\/(r**(-4)*r)))\/r)\/r)\/r**5))**(-2\/9) assuming r is positive.\nAnswer: r**(-500\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 39878 - 2807?\nAnswer: 37071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*b + 91*b - 832 = 0. Solve 4*k = -4*l + 8, 4*k = -3*l - 2 + b for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-6)\/(-2))\/((-3)\/(-4)). Suppose -t*v = -34 - 46. What is the remainder when v is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 59\/25694 and -41\/3?\nAnswer: 77082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the third derivative of j**4\/24 + j**3\/6 - 9*j**2. Let r(i) = i. What is o(r(d))?\nAnswer: d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -2*s - 5. Let t be l(-3). What is the greatest common divisor of 3 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 - 7*r)*(3 - 2*r - 3) + (r - 7*r + r)*(1 + r - 1).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(17) + sqrt(68)\/sqrt(4) + -2 - (sqrt(17) + (-2 + sqrt(272) - sqrt(17)))) + 2 + (-1*(-1*sqrt(204) - sqrt(204)))\/(-2*sqrt(768) + sqrt(12)))**2.\nAnswer: -128*sqrt(17)\/15 + 18308\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 2654345 to the power of 1\/2, to the nearest integer?\nAnswer: 1629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -226 (b) -3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5023, 5025, 5027, 5029, 5031, 5033?\nAnswer: 5035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l*l**(-5)*l)*l)\/l**(-1\/3)*l**(1\/8)*l*l\/l**(-4\/7) assuming l is positive.\nAnswer: l**(1349\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) be the second derivative of -a**4\/6 + a**3\/2 + 4*a. Determine j(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence uddl when four letters picked without replacement from ddulululullluuu?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = n + 10. Calculate the least common multiple of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 20560, 11, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/5, -2, -3817, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 135*r + 51\/5*r**2 + 125 + 1\/5*r**3.\nAnswer: (r + 1)*(r + 25)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -560*j**2 - 146*j**3 - 599*j**2 + 1155*j**2 - 2025 with respect to j.\nAnswer: -438*j**2 - 8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify z\/(z**10*z)*z*z**15 assuming z is positive.\nAnswer: z**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + sqrt(3) + -2)*4.\nAnswer: -8 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 5579 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a be 3\/(245\/(-80) + 3). Let b be (3\/10)\/((-9)\/a). Factor 12\/5*f**3 + 2\/5*f + 2\/5*f**5 + 8\/5*f**4 + b*f**2 + 0.\nAnswer: 2*f*(f + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1256937 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or 3\/119377832?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2304.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xjfcfjfjjfx. Give prob of picking 2 f.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -t**3 + 10*t**2 - 6*t - 13. Let x be 10\/(-20) - 1\/(-2). Let j be x + (3 + -6)*-3. What is the remainder when m(j) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**15*q\/(q\/q**20))**41 assuming q is positive.\nAnswer: q**1435","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57*x - 5 = 3*v + 56*x, -x - 7 = 3*v. Let p(f) = 84*f - 5. Let z(h) = -21*h + 1. What is v*p(t) - 9*z(t)?\nAnswer: 21*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sum 5.25923943 and -0.5.\nAnswer: 4.75923943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Add 38.4 and 2608483.\nAnswer: 2608521.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 5.716658l?\nAnswer: 5716.658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be 131*(-22)\/(-8) - (-37)\/(-148). Calculate the greatest common divisor of h and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -578208 or -18502687\/32?\nAnswer: -18502687\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b**4 + 436*b**3 - 11176*b**2 - 11616*b = 0 for b.\nAnswer: -1, 0, 44, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 533416380 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-8)\/114*(-3)\/2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/((f*f\/(f\/f**(-1)))\/f))**50*(f**(-1\/4)\/f)**(1\/49) assuming f is positive.\nAnswer: f**(19595\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*r + 24*m - 26*m = -3, -2*r - 5*m = 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -5*t - 9. Let u = 5 + t. Solve 2*n - 4*n - 2 = u for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 12\/(-8)*(-124)\/(-682)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 5 + 3 = 0. Suppose -x*t + 13 = 1. List 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 remainder when 95 is divided by ((-4)\/(-10))\/(1\/50)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 12\/25 of a centimeter?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**3 - r**2. Let s(j) = -3*j**3 + 8*j**2 + 10*j + 9. Let y(c) = 2*d(c) - s(c). Let o be y(11). Solve -o*t - 6 = t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 394 = y, 3*y - 125 = -2*t + 93. Put t, 4, 2 in ascending order.\nAnswer: 2, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 6 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*a - 264316 = 921876. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 160 and 244370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01157095 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 2*v**4 - 9*v**2 + 2. Suppose -1 = a + 1. Let h(g) = g**2 - 1. Let z(f) = a*h(f) - s(f). Find the third derivative of z(l) wrt l.\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-6) + (-7)\/(336\/(-4))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 6432137 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 6*z + 1 - 6 - z**2 - 2 + 2. Let q be g(5). Suppose q = -5*t - t + 30. Let j(u) = -u**3 + 6*u**2 - 3*u + 2. Give j(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7959*f**2 + 5950*f**2 - 20988*f**2 - 7018*f - 1231*f**2 wrt f?\nAnswer: -16620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 257373 (base 15) in base 11?\nAnswer: 1017635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes before 2:56 PM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 302\/7 greater than 43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 24 - 37 - (-1 + -17)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 705 minutes after 5:40 PM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 120 - -1?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the third derivative of 0*j**3 + 0 - 3\/4*j**5 + 25\/24*j**4 + 127*j**2 + 61\/480*j**6 + 1\/1344*j**8 + 3\/140*j**7 + 0*j. Factor v(c).\nAnswer: c*(c - 1)**2*(c + 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m = 18 - 8. Suppose -6*k = 2*r - 2*k + 6, -3*k + 23 = -r. Sort r, m, -4 in decreasing order.\nAnswer: m, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -11110 + 11109. What is the closest to y in 0, -0.027, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1884 (base 11) in base 5?\nAnswer: 34031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 12 + -2 + (-27 - -47)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -1059.69197 - -1059.8. Round p to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w**5\/3 - 104*w**4\/3 + 96*w**3 - 280*w**2\/3 + 92*w\/3 = 0 for w.\nAnswer: 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -264 divided by -66?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13129*m**3 - 2 + 0 - 13125*m**3.\nAnswer: 4*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48788373 is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 297271872 and 912?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -319, -619, -921, -1225, -1531, -1839, -2149?\n\"Answer: -s**2 - 297*s - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/4570330 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (0 - 2 + 4)*(0 + 3 + 5)*(2*m + 0*m - 15*m) to the form z*m + b and give z.\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o**7)\/(o*o**(-7)\/o))**26 assuming o is positive.\nAnswer: o**390","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by -14764\nAnswer: 5\/14764","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 20587 and 330225?\nAnswer: 57128925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) - sqrt(5)*-1)*-2 - (3 + sqrt(320)).\nAnswer: -12*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-30)\/20*(-12)\/(-144)*40.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = -2*k - 2, p + 5 = -2*p + 5*k. What is the remainder when p is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*w - 70 = -4*r + 19*w, 0 = 4*r + 5*w - 77. Suppose -8*v = -4*x - 3*v + 576, 720 = 5*x - 4*v. Calculate the greatest common factor of r and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t + 3 + 6 = 0. Let v(x) = -x**2 + 9. What is the least common multiple of v(0) and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -174.57 - -185.8. Let k = a + -0.23. Let b = k - 12.6. Round b to 0 dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -1048, -1073, -1108, -1153, -1208?\n\"Answer: -5*v**2 - 10*v - 1033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1161 and 405576.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 310432?\nAnswer: 2, 89, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 16 - 121 = 0. Suppose -s*i - 39 = -8*i. Let b(t) = -t**3 - 4*t**2 + t + 2. Determine b(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5.3 + 0.7. Sort -0.5, n, 2\/9 in increasing order.\nAnswer: -0.5, 2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2605934 minus 3188?\nAnswer: 2602746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.6 + -0.1. Let x = 3.238 - 4.238. Which is the closest to x? (a) -2 (b) 0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 = 2*x - 4*c, 0*c + 10 = -5*c for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-1\/4))**(-1\/26)\/((x**(2\/11)\/x)\/x**(-5\/3)))**(-8\/11) assuming x is positive.\nAnswer: x**(2879\/4719)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 72606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -90600 (base 10) to base 8.\nAnswer: -260750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7097 is divided by 112.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 256*b + 372*b = 17226 - 44858 for b.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -2*w - 16. Let o be m(-11). Suppose 0 = o*v - 2*v + 12. Let s be 0 + 3\/v*-3. Solve -3*z + 4*z = -s for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*j + 1 - 1)*(3 - 7 + 2)*(45*j**4 - 46*j**4 - 1 - 2).\nAnswer: -4*j**5 - 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*h*j**3*y + 3*h*j**2*y**4 - 649*j**3*y**3 - j**3*y - 24*j**3 - 2*j*y + 4*y wrt y?\nAnswer: 36*h*j**2*y**2 - 3894*j**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n - 3*f - 4 + 1, 0 = -n - 2*f. Suppose -n + 52 = 2*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-26 - -16) + 39 + 4?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 44 and 1342.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/(148\/8 + -7)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 409*n + 21461 + 5329 = -296*n for n.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 36 and 626166.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iys when three letters picked without replacement from {s: 2, m: 1, y: 1, f: 5, i: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) be the first derivative of -13*y**3\/3 + 93. Let g(k) = 0*k - k + 0*k. Calculate x(g(l)).\nAnswer: -13*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, -16, 1, -1504 in decreasing order.\nAnswer: 1, -4, -16, -1504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -34 - -35. Let o(x) = 3*x**3 + 2*x**2 - x. Let g be o(i). Is 12\/g + (3 - -493) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 27655*u**2*y**2 + 28*u*y**2 + 509*u*y wrt u?\nAnswer: 55310*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*c**4*l - 301*c**2*l - 191*l wrt c?\nAnswer: 12*c**3*l - 602*c*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -20517, -20519, -20521, -20523, -20525?\nAnswer: -20527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 10941 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*f = -25 + 5. Let l be (-4)\/(3\/(-2) + 1). Let s = l - f. Is 6 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + (((4 + sqrt(396) + 1 - sqrt(396) - (sqrt(396) + 1*sqrt(396) + -3)) + 2)**2 - (6*(2 + sqrt(396)) + 1 + 2)**2).\nAnswer: -12801 - 1320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 4687 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fkkkffkffffk. What is prob of sequence ff?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 126 + -18?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5233*h**2 - 1946*h**2 - 1479*h**2 - 1806*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let -25*c**3 + 312540*c**2 - 976750005*c - 390750010 = 0. Calculate c.\nAnswer: -2\/5, 6251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 149 - 0?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (56\/16)\/(1\/2) and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -681.975066 - -682. Round x to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2.7 - -4.7. Let k = 1.1 + -1. Let g = 0 + k. Which is the smallest value? (a) g (b) -1\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.837 + -1.96108. What is t rounded to two decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2692 + 9461. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3112020 divided by 518670?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9103745 or 9103755?\nAnswer: 9103745","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 18518 to the power of 1\/2, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(300)\/sqrt(4) - sqrt(3)) + (sqrt(3) - (sqrt(9)*1)\/sqrt(3)))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = 0, -o + 1 + 8 = 2*r. What is the highest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 587*c - 1071*c + 597*c - 3.\nAnswer: 113*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -p**3 - 6*p**2 - 5*p + 4. Let t be v(-5). Let k be (-1 - -4) + (4 - t). Is (-2276)\/(-6) + (-1)\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g + 4*h + 2 = 0, -153*g - 4*h + 13 = -148*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -210272820, -210272818, -210272816, -210272814, -210272812, -210272810?\n\"Answer: 2*r - 210272822","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4201 - -4188 - (-21 - (1 - 3))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 72716 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {j: 1, h: 3, g: 3}. What is prob of sequence hgjg?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 4 - 111a0941?\nAnswer: -111a093b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(4\/13))**(2\/77) assuming n is positive.\nAnswer: n**(8\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:57 AM and 1:40 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 - 2. Let v(m) = -2*m + 2*m**2 + r*m. Let w(q) = -692*q**2 + 2111*q**2 - 698*q**2 - 687*q**2. Give v(w(l)).\nAnswer: 2312*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -31673\/596 or -53?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is (4 - 0)*65*(-4)\/(-10) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from bbbbbbbssbbbbbsbbb.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 15715515, 62862037, 141439573, 251448123?\n\"Answer: 15715507*s**2 + s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76*o = 545 + 367. Calculate the greatest common divisor of 128 and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 39233 * -116.\nAnswer: -4551028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -677*q - 10968 - 12050 = 0 for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -178\/5 + 35. Which is smaller: y or -1\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f*f**(-1))\/f)\/f)**(5\/9)\/(f**(-2)*f)**(-17) assuming f is positive.\nAnswer: f**(-163\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 454 divide 9294127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = x**2 + 3*x + 9. Let n be o(-6). Let w be ((-4)\/(-6))\/(6\/n). Suppose w*p + 2*f - 34 = 0, 48 = 2*p - 5*f - 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6433 + 2536 = 1746*p - 3699 - 8284 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fokw when four letters picked without replacement from kfkttkoooow.\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = 278 + -286. Let c(p) = p - 1. Let w(g) = 6*g + 4. Let m(r) = 5*c(r) - w(r). Give m(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4442165280?\nAnswer: 2, 3, 5, 7, 17, 8641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1706690032?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*((sqrt(156)*1*-4 + sqrt(156) + (2*sqrt(156)*-1 - sqrt(156)))\/((sqrt(768) - 1*sqrt(768))*-1 - sqrt(768)) + 0)**2.\nAnswer: -585\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 2*n = 5*v - 232, -5*n - 2*v + 355 = 0. Is n a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**6*h*h\/(h\/h**(2\/5)*h)*h*(h*h**5\/h*h*h)\/h**(-2\/9))**25 assuming h is positive.\nAnswer: h**(3515\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: ((-456)\/(-1330))\/(2*9\/30)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = v**3 + 16*v**2 - 3*v + 130. What is the remainder when k(-8) is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -1 and 7\/5914 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 334*z**2 - 52*z + 352652 with respect to z.\nAnswer: 668*z - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4\/32*4)\/(17\/(-272)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -259 + 5*h - 3*h + 889 - 206 to the form c*h + x and give x.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14*j + 26*j + 20*j)*(-5 - 2 - 1).\nAnswer: -256*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = -1. Let h(j) = -j**3 + 6*j**2 - 5*j + 5. Let u(k) = -4*g(k) - h(k). What is u(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 335 - 75139?\nAnswer: -74904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 7964, -5, 4 in decreasing order.\nAnswer: 7964, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (-65438 - 64684 + 128268)*(-2*y**3 + 2*y**3 + 2*y**4).\nAnswer: -3708*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 512*z - 172*z + 6*z**3 - 172*z + 6*z**4 + 5*z**2 - 168*z to the form t + r*z + u*z**3 + w*z**4 + p*z**2 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 871*k + 112*k**2 + 91*k**2 + 864*k - 1752*k.\nAnswer: 203*k**2 - 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 25858*p - 25862*p - 59 = -n - 77, 0 = 5*p + 12*n + 163 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5\/75)\/((2\/35)\/(320\/(-448))).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -6\/749? (a) -1 (b) -1.4107 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 13 - -5. Let o = -17.948 + g. Let a = -9.252 + o. What is a rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, 31650155, 2\/11 in increasing order.\nAnswer: 2\/11, 0.3, 31650155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t be (80\/(-56))\/(2\/(-14)). Suppose 0 = -5*f, 4*o - f - 2 = t. Is (-524 - 0)*o\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (-21)\/(-28)*(0 - (0 + -56)) is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -247, -2035, -6913, -16441, -32179, -55687, -88525, -132253?\nAnswer: -188431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4 + -83064?\nAnswer: -83063.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 91999, 92001, 92005, 92011, 92019, 92029, 92041?\n\"Answer: z**2 - z + 91999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 483, 475, 463, 447?\n\"Answer: -2*x**2 - 2*x + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*((-68)\/(-2))\/((-1)\/(9\/18)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rrcrssrsrcrsccrccrr. What is prob of sequence ssc?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = 38*s - 1147. Calculate the remainder when 1172 is divided by r(38).\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1188 = -3*c - 4*u + 6*u, 2*c = 5*u + 792. What is the greatest common factor of 176 and c?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 106224 is divided by 2529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 994 and 405836?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -13*l - 178. Let f(c) = 4*c + 62. Determine 8*f(t) + 3*i(t).\nAnswer: -7*t - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 215202?\nAnswer: 2, 3, 13, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Are 32822 and 32821 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -0.35203 times -56?\nAnswer: 19.71368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -2\/21, 0.4, 160 in decreasing order.\nAnswer: 160, 0.4, -2\/21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1.1 + -0.1. Let h = s - 0.7. What is the third biggest value in h, 5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -29 - (3 + (10 - (22 - 31)))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*h, -h = g - 0*h. Suppose 4*s - 223 - 853 = g. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.101312 take away 39?\nAnswer: -39.101312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 92 minutes after 12:30 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 937995621 to the nearest integer?\nAnswer: 979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 99 = 44*y - 43*y. Suppose 0 = -96*s + y*s - 153. Solve -s*n + 55*n = -4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-42)\/(-98) - (411\/(-21))\/1. Solve 0 = z + 4*z - a for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 x and 1 n when three letters picked without replacement from {e: 3, k: 1, r: 1, u: 2, x: 2, n: 3}.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 52*t - 17811 = 9177. Calculate the highest common factor of t and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -69\/290450 and 33\/91060.\nAnswer: 16846100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 512449 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = 27*w**2 + 31*w + 322. What is the tens digit of s(-38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45*h**3 + 0 + 31*h**3 - 78*h**3 + 0.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 13, n: 5}. What is prob of picking 2 r?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.1 or -7\/32?\nAnswer: -7\/32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g + 1. Let i = 69 + -70. Let p be c(i). What is the second smallest value in -2, -3, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1128*w + 547*w + 561*w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 - (-16 - 21 - -28 - (-6 + -2))) + -106.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b + 24 - 34 = -5*u, -5*u - 5 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 81546 or 81543?\nAnswer: 81546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 0.203127 meters in centimeters?\nAnswer: 20.3127","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 87*u**2 - 34*u**2 - 29*u**2 + 24*u - 31*u**2 + (0*u**2 + u**2 + u**2)*(-2 - 2 + 3).\nAnswer: -9*u**2 + 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -38*m + 9. Let s(i) = -i - 15. Let u(h) = 32*h - 83. Let q(j) = 5*s(j) - u(j). Determine 6*n(c) - 7*q(c).\nAnswer: 31*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -112*l - 762652 + 3709484 = 0. List the prime factors of l.\nAnswer: 83, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h = -5*v - 3, h + 0*h + 5 = v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1\/4 less than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = 4*p**2 - 159*p + 445. Give b(-16).\nAnswer: 4013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1829946 divided by 4.\nAnswer: 914973\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 23 + -35 + (-1 - -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 215776*g**4 + 2*g**3 - 3686413*g**2.\nAnswer: 5178624*g + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 29\/166034 and 23\/332068?\nAnswer: 332068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vousevvveeessg. Give prob of picking 1 v, 1 e, and 1 o.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u - 4 = u - 2*b, 4*b - 8 = 5*u. Let n be (5612\/1050 - 3) + -3. Let x = n + -2\/175. Which is bigger: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -11 + 17 - 3 + 4*p - 6 - 3*p. What is the smallest common multiple of g(39) and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19464 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3 + (-250)\/(-90) - 381\/1053*3. Let n = -1 - -1. Is n at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 662388884?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.2 or -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -k**2 + 2*k - 2. Let m be h(1). Let l be -2*-1*m\/8. Which is the closest to -1\/3? (a) -0.3 (b) l (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -f - f - 2. Let r = 7 + -12. Let y = -0.01 + 1.01. Which is the nearest to 0.2? (a) f (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 89.6 - 89.6174. Let j = i + -0.0826. What is the second smallest value in -5, -75, j, 1\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 7 - 9*d**2 - d**2 - 5*d**2 - 2664*d + 2663*d + 35 in the form w*d + m*d**2 + s and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 1093274 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: Sum 150 and -5792411.\nAnswer: -5792261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 852194800 rounded to the nearest one million?\nAnswer: 852000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = u. What is r(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s**2\/2 - 27*s\/2 + 15 = 0.\nAnswer: -10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -2*s. Let a(z) be the first derivative of 2*z + 63 + 3\/2*z**2. What is a(n(u))?\nAnswer: -6*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6039622, -6039621, -6039620, -6039619?\nAnswer: -6039618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2875465, 2875476, 2875491, 2875510, 2875533, 2875560, 2875591?\nAnswer: 2875626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-148)\/(-14) - 60\/(-140). Let k be -8*((-33)\/12)\/t. Let g(w) = -k*w + 1028 - 1028. Let z(l) = 3*l**2. What is g(z(d))?\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*f + 6 - 36*f + 28 + 14*f - 42.\nAnswer: -5*f - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8\/1*195\/(-4836)*31*1*6.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73 = -4*v - 483. Let w be (-3 - 1)\/(-4) - v. Suppose -2*y - 2*y = -w. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 145*k**3 + 4160*k + 136*k**3 - 4160*k - 2*k**3.\nAnswer: 279*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i = -28 - -9. Let x = 19.0000035 + i. What is x rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -215012.566*-3.\nAnswer: 645037.698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a - 5*g + 3*g + 16 = -4*g, 5*g = -2*a - 31 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 70344 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 2\/15, 4, -1810\/3, 0, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -3*v. Let i(d) be the third derivative of d**5\/60 - 14*d**4\/3 + 16*d**2 - 2*d. Determine w(i(h)).\nAnswer: -3*h**2 + 336*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 15*r - 4. Let u be l(11). Suppose -5*f - 37088 = 33*f. Let t = u - f. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10 divided by -5784804?\nAnswer: 5\/2892402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((52\/6)\/(-1) + -2)*-6. Suppose 2*d = f + 15 - u, -4*d - 12 = 0. Calculate the smallest common multiple of f and 5.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 180? (a) 4 (b) 1\/3 (c) -1\/7 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.4 or 153\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**2 + 10*v - 23. Let x be y(-12). Let o(b) = 56*b + 13. Is o(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Let n = -0.37 + 0.07. Let b = 0 + 0. Let t be (-3)\/(-1) + 45\/(-12). What is the closest to b in -1, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*d**13)\/d**2 assuming d is positive.\nAnswer: d**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a - 5*r = 894, -5*a + 2791 = -4*r + 590. Suppose 2*f - a = 5*p, 4*p - 229 + 1313 = 5*f. What is the highest common factor of f and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = -969*d + 980*d. Let w be 2*2\/24*-5. Let q = -1 - -1. Which is the closest to q? (a) -0.4 (b) w (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wwz when three letters picked without replacement from {z: 3, w: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z be 6 - 4\/((-4)\/(-2)). Let l be (4*z\/(-8))\/(-2). Suppose -3*r + 1658 = -l. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/(-9) + (2 - (-8)\/3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*a - k - 15, a + 7*k - 4*k = 3 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = 24*v**3 - v**2 - v - 1. Let x be k(-2). Let n be (6\/(-5))\/((-3)\/x). Let o be -1 + (5 + -2 - n). Calculate the highest common divisor of 20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = -41*m + 60 - 29*m + 79*m. Let t be i(-8). Suppose 5*f - 85 = 4*c, 0 = -c + 2*c - 4*f + 35. Which is greater: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 47 + -43. Suppose -3*g = c*p - 43, -g = -5*g - 4*p + 60. What is the greatest common factor of 289 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + 1 + 1 + 6 - (9 - 8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(66)\/sqrt(48))\/(sqrt(2) - ((sqrt(128) - 3*sqrt(128)) + sqrt(128) - sqrt(2) - sqrt(2))) - ((4*(2 + -1*sqrt(1584)))**2 + 0).\nAnswer: -25408 + 33793*sqrt(11)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 11505656 (base 7) to base 2.\nAnswer: 11111010110011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 704*g - 408 = 645*g - 1293 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 77*w + 12. Let s be (-3)\/2*30\/(-9). Is c(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1187 - -1187. Let v(w) be the third derivative of -w**2 + 1\/60*w**4 + h + 0*w + 0*w**3 - 1\/300*w**5. Factor v(c).\nAnswer: -c*(c - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 69670.\nAnswer: 2, 5, 6967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = -434 + 838. Let m = l - 408. Let d(s) = 3*s**2 + 4*s + 4. Let g(n) = 4*n**2 + 5*n + 5. What is m*g(h) + 5*d(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f - 32 = -2*j, 5*j + 2*f - 82 = j. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 44*t = -22 - 22 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = -s**3 - 6*s**2 + s - 9. Does 8 divide y(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.01416 - 0.2\nAnswer: -0.18584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -506, -578, -650, -722, -794, -866?\nAnswer: -938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + (2 - 2 - (48 + -42)) + (13 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -4497528 by -16908.\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (4\/18)\/((-285)\/1710)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a - 2*f + 29 = -6*f, 11 = -3*a - 4*f. Let v be (0\/(-1) - 5)*1. Sort 5, a, -18, v in decreasing order.\nAnswer: 5, a, v, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 2*s - 4*s - 56, -u = -5*s - 96. Let k(p) = -p**3 + 7*p**2 + 4*p - 6. Let o be k(6). Let z be 12\/s - o\/(-15). Solve -z*h - 20 = 2*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -25, -29, -37, -49, -65, -85, -109?\n\"Answer: -2*p**2 + 2*p - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = 2*x**3 - 13*x**2 - 6*x - 3. Let u be n(7). Find the second derivative of -31*i - 5*i**4 - 15*i**4 + 43*i**u - 21*i wrt i.\nAnswer: 276*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-422)\/9292 + (-99843)\/(-2323) + -43?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(539) + 2 + -3))**2.\nAnswer: -126*sqrt(11) + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -646239?\nAnswer: -646239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 38*d**3*j + 7*d**3*w**2 + d**2*j*w**2 + 2*d*j*w - 45*d*w wrt j.\nAnswer: 38*d**3 + d**2*w**2 + 2*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (d - 2*d - d + (2 - 5 - 8)*(-4 + 4 + 3*d))*(270486*d - 270486*d - 153 - 3*d**2) to the form t*d**3 + a + s*d + y*d**2 and give s.\nAnswer: 5355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6525546, -6525551, -6525558, -6525567, -6525578?\nAnswer: -6525591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 10069529?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1069264 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify k**(1\/3)\/k*(k\/((((k**(7\/2)*k)\/k)\/k)\/k))\/k assuming k is positive.\nAnswer: k**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 62117314*g**6 - 53979302*g**2 wrt g?\nAnswer: 7454077680*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 10065232 + 104?\nAnswer: 10065336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 57 - 51. Solve 5*m + i*k = k + 5, 2*m + 4*k = 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 999040?\nAnswer: 2, 5, 7, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (87\/(-232))\/(3\/(-72))*(69\/9 + -3)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 2*x**2 - 3*x + 2. Let v be m(4). What is the third biggest value in v, 1\/4, 0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 103 + -6276?\nAnswer: -6173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 + 0.8. Let w = 168.61 + -168.21. Sort n, 0.5, w, -4 in increasing order.\nAnswer: -4, n, w, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 2*u + 0)*(4*u**2 - 3*u**2 + 4*u**2) + (u**2 + 0*u**2 + 6*u**2)*(-5*u - 2*u + 5*u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 69, 51, 17, -33, -99, -181?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -293 (base 13) to base 14\nAnswer: -24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 265497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) = -d**2 + 2. Let z be r(1). Let k = 22 - z. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:49 AM and 2:44 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1763098\/18001529 + 1\/53417. Is x at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5103)*-1*3)\/(-3*(sqrt(36) - sqrt(576))).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7453*y**5 - 9*y**4 - 560*y**2 + 196350167*y wrt y?\nAnswer: -149060*y**3 - 108*y**2 - 1120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = 4*i + 3. Let d be g(-6). Is 12\/16 - d\/4 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 882 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.13029 - -141.06171. Let r = l - 131.2. Let b = r - 10. Round b to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0 + 2. Suppose 19 = o*m + 7. Does 13 divide m\/(-21) + (-1098)\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1 - -1. Suppose 4*g - 170 = -38. Suppose -m*v - 5 = -g. Solve 2*a + v = 4 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 743126 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - 2 = -26. Suppose -5*c + 4*x = -79, 57 = 4*c + 2*x + x. Let g = -7130 - -7135. Solve -d - c = g*n, -5*n = -q*d + 3*d + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -54*v = -61*v - 252. Suppose 0 = -5*s - 107 - 93. Let w = v - s. Solve -w*r - 6 = -2*i, 3*r + 5*i = -21 - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5.82? (a) -245 (b) 3 (c) -1\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is (26\/(-13))\/((-5)\/((-360)\/112))?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*v - 4*v. Is 1*(3 - -34 - v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = -a**3 + 18*a**2 - 18*a + 22. Calculate the remainder when w(17) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = 4*k**2 - 4*k - 3. Let d be i(-1). Suppose -v + u = 8, -2*v - 3*v + 4*u = 35. Let s = v - -2. Sort s, d, 4 in increasing order.\nAnswer: s, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 107435 is divided by 940.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = y**2 - 30*y - 27. Let a be w(31). Suppose a*l + z = 20, 6*l = 5*l + 4*z - 12. Put -1, l, -105 in descending order.\nAnswer: l, -1, -105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 27 = 7*g - 4*b, -5*b = -5*g - 30. Let l = 15304 - 76518\/5. What is the nearest to l in g, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from ycyyyyyyyyyyyyyyyyyy.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q*q\/(q\/q**(-1\/2)))\/q**(-4\/9)*(q*q**(6\/5))\/q*q\/q**(7\/6) assuming q is positive.\nAnswer: q**(134\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 407*m - 384*m = 68310. What is the highest common factor of 55 and m?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1000111 (base 2) in base 7?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 27411569639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Simplify (h**14\/h*h*h\/(h\/(h\/(h**(2\/67)\/h)))*h)**(-7\/11) assuming h is positive.\nAnswer: h**(-7959\/737)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -s**3. Let k(z) = 3*z**3 + 7*z + 1. Determine -2*c(h) - k(h).\nAnswer: -h**3 - 7*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 15651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 695884.\nAnswer: 2, 7, 29, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*d - 7*d. Suppose -5*v - 5*z - 15 = d, 2*v = -0*z + 5*z - 6. Which is the closest to -1\/3? (a) v (b) 0.5 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -6975*k**3 + 3*k**2 - k + 7144*k**3 - 3*k**2 + 174 + 3*k wrt k?\nAnswer: 507*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 419103*j**3 + 415696*j**2 wrt j.\nAnswer: 2514618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = f**3 + 13*f**2 + 14*f + 10. Give w(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u - 2*q + 1 - 3 = 0, -4*u + 2*q + 6 = 0. Suppose u*h - a = -20, -2*h - 2*h = 5*a + 44. Does 5 divide h*2\/4 + (34 - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5774 - 23097\/4. What is the second biggest value in 2\/7, -0.29, r, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -2*f**2 + 11*f - 11. Let n be c(5). Let x(i) = i**2 - 5. Let h be ((-3 - -3) + 1)*3. Let w(p) = -6 + h*p**2 + 0 - p**2. What is n*x(g) + 5*w(g)?\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 - r - 1 + 6 + (-2 + 0 + 1)*(-1 + 1 + 2*r).\nAnswer: -3*r + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*x - 14*x = -5*b + 16, 3*b - 17 = -5*x for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ykuw when four letters picked without replacement from aadauddwykdawy?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -106 + 54. Let k be (-82)\/26 + 3 + (-476)\/j. Let b(p) = p. Let o be b(3). Solve -k = o*x + 6 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 560\/(-50) + 12 + (-6)\/(-5). Let h(b) = 3*b - 7. Calculate h(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -10\/9, -5, -0.5, 4.\nAnswer: -5, -10\/9, -0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**3 - 4*p**2 - 9*p + 11. Determine a(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-14185000)\/(-875))\/((-4)\/(-14)).\nAnswer: 2, 5, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r - 2*m + 358 = 0, -276 = -4*r + r - 4*m. Is r >= 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**3 + 3*c**2 + 3*c + 3. Calculate m(3).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 834392 or 5840740\/7?\nAnswer: 834392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = 8279 - 8279.04. Which is the nearest to 1\/3? (a) -2\/3 (b) w (c) -6 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 18471 and 5217?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 85 = 6. List the prime factors of g.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3477 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 divided by -679.\nAnswer: 4\/679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4184 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 t when two letters picked without replacement from {f: 1, i: 5, h: 3, t: 4, n: 1}.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 3*z**2 - 3490*z + 68564. What is v(20)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 6521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 19\/5 and 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put together 4943191 and -38.\nAnswer: 4943153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -4*h. Let g(r) = -5*r. Let z(l) = -28*l. Let j(k) = -34*g(k) + 6*z(k). What is v(j(d))?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c = 165 - -110. Is 29 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the second derivative of 0*x**3 + 181\/2*x**2 + 53\/4*x**4 + 0 + 14*x. What is the first derivative of m(r) wrt r?\nAnswer: 318*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -35, -0.5, 5, -0.7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1509*m - 16 + 38 - 22.\nAnswer: -1509*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 21364.\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 8, p: 1, o: 1, m: 6, r: 2, t: 2}. What is prob of sequence rp?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 + 5 = -2*n - i, i + 35 = 3*n. Suppose -5*b = -17 - 53. What is the least common multiple of n and b?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2848045 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -2411 (base 8) in base 14?\nAnswer: -681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -122*i - 7. Let f(d) = -2*d - 1. Calculate 6*f(n) - s(n).\nAnswer: 110*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 - 4\/(-4) - -1. Let i(p) be the second derivative of -p**4\/6 + p**3 + 17*p. What is i(o)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + 6 + 1 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11887*i + 1227*i + 23906*i.\nAnswer: 37020*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -152*q**2 + 0 - 2*q**3 + 140*q**2 + 0 + 2*q to w*q**2 + o + s*q + r*q**3 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*u + u**2 - 4*u)*(-2 - u**3 + 2) + 61*u**5 - 62*u**5 + 17*u + 18*u.\nAnswer: -2*u**5 + 35*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 47 divide 1613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -18 + 11 - (2 - 4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 22*n + n**2 - 22*n. Let l(k) = 2*k**2 - 5*k + 5. Let b(z) = -z**2 + z - 1. Let w(x) = 5*b(x) + l(x). Determine w(s(g)).\nAnswer: -3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(1911)*3 - sqrt(1911))\/((sqrt(24) + -1*-3*sqrt(24))\/sqrt(8)).\nAnswer: 14*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**28*t\/(t*t\/t**(-23))*t*t**(1\/2)\/(t*t**(-4)*t))**(-24) assuming t is positive.\nAnswer: t**(-180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.03 + -1.03. Let m = 44.2 - 43.9. Let w = 3 - 8. Which is the second smallest value? (a) w (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = 8*b - 8*b - m, 11*m - 13*m = -76*b - 204 - 246 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -41850 - -28723. Let k be 0 + 173307\/(-132)*10. Let s = k - t. Calculate the common denominator of s and -97\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j = -33*h + 30*h - 124, -102*h = -4*j + 35 - 159 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -a**3 + 9*a**2 - 34*a + 861. Let p be s(12). Let y be ((-9)\/12)\/(1\/(-24)). Is y at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -2*m + 6 + 2*m - 2*m + 0*m. Suppose -13*r + 12*r - 2 = 0. Let y = 8 + r. What is v(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 4, e: 3, u: 1, r: 10}. Give prob of picking 3 e and 1 r.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*y - 8*y - 12 = 0. Solve -y = -2*f - 0*j + 4*j, 0 = -5*j - 15 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = u**3 + 19*u**2 + 17*u - 9. Let f be a(-18). Suppose -f*g + 5*g = -24. Solve n - 8 = -c + g*c, -4*c - 6 = -n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1937 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1570598512.\nAnswer: 2, 7, 14023201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -122313 - 11?\nAnswer: -122324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**(-19)*u*u**(2\/7)*(u\/u**10)\/u**(-9) assuming u is positive.\nAnswer: u**(-124\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t**16*t*t*t*t**(-2\/23))\/(t**(-17)\/((t**(3\/7)*t)\/t)))**(-1\/2) assuming t is positive.\nAnswer: t**(-3006\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-2\/11)*x)\/x)**(33\/4)\/((x**(-3\/5)*x)\/((x*x**6)\/x)) assuming x is positive.\nAnswer: x**(41\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - (3 + (4 - 3) + 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-91)\/(1\/(0 - 1)). Suppose 113 = 34*w - s. Solve -9*f = -11*f + w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m*m*m**9)**(-29))**(-6\/7) assuming m is positive.\nAnswer: m**(1914\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5 or -761207?\nAnswer: -761207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14.039 + -4.039. What is the fourth smallest value in h, -4, -0.4, -1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -37745*i**4 + 5729 wrt i.\nAnswer: -150980*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 137 = 338*a + 1489 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the third derivative of -17*k**7\/210 + k**4\/8 - 7*k**3\/3 + 42*k**2. Find the second derivative of i(c) wrt c.\nAnswer: -204*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 914258579?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -45799051 - 0.0809\nAnswer: -45799051.0809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10 + 8 + (-52 - -33) - (-8 - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 564642 and 285.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2365179 = -59*u + 2366359 for u.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -1 - 5 - 4 - 2 + 2*d. Let q be u(8). Let v(t) = 2*t - q*t - 6 + 4*t. Calculate v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 117767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -219765, -439530, -659295, -879060, -1098825, -1318590?\nAnswer: -1538355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g be -4 - 7\/(-2) - 2. What is the third biggest value in g, -4, -3\/16?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.07374852 to 4 decimal places.\nAnswer: 0.0737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 719 minutes after 5:56 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(y) = y + 9. Let s(i) = 3*i - 4. Let f be s(-4). Let v be 0 + -3 - f\/(-4). Let n be o(v). Solve r = 4*t, 2*r - 1 - n = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 515855 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) be the first derivative of -n**2 - 2. Let h(s) = 0 + 0 + 2*s. Calculate h(y(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 18 times 16\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 378483011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**2 + 9. Let p(d) = 2*d**2 - 16*d - 21. Let l be p(9). Let n be q(l). Solve -2*m + n*z + 3*z = 0, -m = 3*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 + -28 + -7 + (-4 + -4 - 4)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4867651 is divided by 1022.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 4*g - 4*g**2 + g - 4*g + 707*g - 707*g + 8*g**2 + (4*g - g - g)*(2*g - g - 3*g) - 4*g**2 + 2*g**2 + 0*g**2 in the form w + j*g + y*g**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 443\/5 - 89. Let g = 24805\/17 - 1459. What is the closest to o in g, -0.3, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2 - 1. Let a(y) = -y**3 + y**2 + y + 1. Let z be a(2). Let n be z\/(-2) - 2\/4. Which is smaller: s or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + -3*sqrt(13) - (sqrt(65) - (sqrt(65) - sqrt(65)*2))\/sqrt(5))**2 + (-4 + (sqrt(637) + -1)**2)*5.\nAnswer: -40*sqrt(13) + 3504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: ((-263648)\/3139059)\/(16\/3)\nAnswer: -2\/127","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*c - 3 + 3)*(-3 + 2 - 1) - 3*c + 6*c - c + 3 - c - 3.\nAnswer: 5*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = j**3 + 2*j - 6. Let p be n(0). Let o(u) be the third derivative of u**6\/120 + 7*u**5\/60 + 5*u**4\/24 - 2*u**2. What is the units digit of o(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3593 - 39*u**2 + 1799 + 1794.\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 166685895.1 rounded to the nearest one thousand?\nAnswer: 166686000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r = 83 + -69. Suppose 6*p - 16 = r*p. Sort -12, 4\/5, 0.3, p.\nAnswer: -12, p, 0.3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 708 = -9*s + 69*s - 72*s for s.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Multiply 315153 and -45.\nAnswer: -14181885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -z**5 - z**4 - z**2. Let r(q) = 20*q**5 + 36*q**4 - 18*q**3 - 32*q**2 + 108*q. Let i(y) = -44*h(y) - 2*r(y). Factor i(b).\nAnswer: 4*b*(b - 3)**3*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*j**2 + 4 + j**2 + 4*j**3 + j**2 + 2*j**3 to the form z*j**3 + b*j + a*j**2 + w and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 308150571 divided by -501?\nAnswer: -615071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -ab (base 15) in base 14?\nAnswer: -b7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = -p**2. Let u(w) = 54*w + 2. Calculate u(o(k)).\nAnswer: -54*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of 4*v**3\/3 + 776*v**2 + 4053. Factor u(w).\nAnswer: 4*w*(w + 388)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -64 bigger than 28045?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, 32, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Do 1\/175312 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s = h + 15, 4*s + 3*h - 45 = -14. Suppose -4*l - 3*a + 2356 = 0, 8*l - s*a = 3*l + 2945. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-23)\/(-4) - 3) + 12\/(-16). Suppose 2*d + 2 = -m*j, 3*j + 0 - 2 = -2*d. Solve 3*g - c - 17 = 3*c, 14 = -j*g - 2*c for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -159 + 165. Suppose -j + 4*j - p = 0. Sort j, -6, -3 in increasing order.\nAnswer: -6, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u\/u**0)\/u)**(22\/5))**(-1\/18)*(u*(u**(-5)\/u)\/u*u\/u**11)**(-2\/27) assuming u is positive.\nAnswer: u**(32\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k, 1 p, 1 f, and 1 v when four letters picked without replacement from {k: 2, j: 1, v: 1, f: 1, p: 2, l: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 0 - 7 + 7 - 2*x. Let s(m) = 19*m**2. Let h(n) = -5*n**2. Let t(l) = 22*h(l) + 6*s(l). Give p(t(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = 19289 + -19257. Let j(z) be the second derivative of 0*z**3 + 0 - z**2 + 1\/6*z**4 + x*z. Factor j(i).\nAnswer: 2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -42, -63, -66, -45, 6, 93?\nAnswer: 222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 78*z**3 - 2*z**2 - 7*z + 1. What is the thousands digit of i(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -38 - -34. Let z = 0.1 - 0.3. Are z and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m**3 + 10*m**2 - m + 12. Let u be z(10). Suppose 3*f - 66 = u*q, -8*q - 110 = -5*f - 4*q. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {p: 15, r: 4}. Give prob of sequence rrpr.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:23 PM and 9:18 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.003811009 to 5 dps.\nAnswer: 0.00381","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 225 is divided by 74.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be 8*-3*(-3)\/9. Suppose 4*l + c = 0, l = -5*g + 5*l + 28. Put g, 3, -3 in decreasing order.\nAnswer: g, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 6238368 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*r = 5*f - 15, 4*f - 3 = 2*r + 3*f. Suppose r = -2*p - 3*x - 15, 2*x + 0*x = -3*p - 15. What is the units digit of -7*(-1 + p + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -29719, -106673, -234921, -414457, -645275, -927369?\n\"Answer: t**3 - 25653*t**2 - 2*t - 4065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 603257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -c**2 + 5*c + 5. Let v be z(7). Let m(n) = -n**3 - 8*n**2 + 7*n - 7. Let j be m(v). Solve 5*h - 4*r + 2*r - 5 = 0, -2*r - j = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the second derivative of -o**5\/20 + 3*o**2\/2 - 11*o. Let f(s) be the first derivative of j(s). Let b(r) = -3*r. Calculate f(b(c)).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 8 = 5*i. Suppose 5*k - i*x + 50 = 0, x - 27 = 4*k + 2*x. Let y be 63*5*k\/(-60). Calculate the highest common divisor of 14 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 52 - 50. Let t(g) = -277*g + 280*g + 8*g**2 - 4*g**z - 2. What is the tens digit of t(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-8)\/18)\/(-2)*(-21)\/14.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 657 divide 590742?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 6469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 3*q**2 + 45*q - 44. Let i be f(-16). Suppose -3*s - 6*d + 5*d + 274 = 0, -4*s + i*d + 376 = 0. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-79050004)\/34 - (465\/(-51) + 9). What is c rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o + 8 = g + 2*g, -5*g + 12 = -o. Find the third derivative of 2*c**4 - 166*c**3 + 165*c**3 + 150*c**g + 3*c**4 wrt c.\nAnswer: 120*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z - 42 = -5*l - 0*z, 0 = 5*l - 4*z - 46. Suppose -3*f - 24 = -l*f. Solve 0 = 4*p - 0*p + f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -76*4\/(-76)*15\/(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 35697106 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = -3*a**2 + 14*a - 14. Let r be j(4). Let y(m) = m**3 + 6*m**2 + 2*m + 9. Let g be y(r). What is the tens digit of g - 172\/(-60) - 5584\/(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4719839 is divided by 141?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -1940383 times -6\nAnswer: 11642298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 + 77817a6?\nAnswer: 77817aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -8*x + 4. Let h be p(-2). Suppose -12*u = -8*u - h. Solve u - 3 = -2*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.3 (b) -1\/70 (c) 2\/5 (d) 4\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-4)\/6 + (-170)\/(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 5675 and 5221.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26*q**2 + 21*q**2 + 19*q**2 - 63*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1071*l**4 + 695*l**3 - 251225*l**2 + 4?\nAnswer: 25704*l + 4170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*s**3 - 380 + 20*s + 8*s - 8*s**2 + 380 + 6*s**2.\nAnswer: 8*s**3 - 2*s**2 + 28*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 p when two letters picked without replacement from {t: 1, p: 9, x: 7, w: 2}?\nAnswer: 7\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*5*(sqrt(405) + sqrt(405) + (-1*sqrt(405))**2*1) + ((sqrt(180)*-1 - sqrt(180)) + 0 + (sqrt(180) + -1)*2)**2.\nAnswer: 450*sqrt(5) + 10129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 29 + (4 - (170 + -91)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -186 = -2*p + 3*r, -10*r = -5*p - 11*r + 499. Does 3 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1*(1\/(-2))\/((-7)\/(-14)). Let x be (-12)\/(20\/(-5)) + t. Suppose z - 19 - 19 = -a, -z + x*a = -38. Round z to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 10 and 392.\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(2\/13)*f*f*f)**25\/((f**5\/f*f)\/(f\/(f\/(f**(2\/9)\/f))*f)) assuming f is positive.\nAnswer: f**(8666\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -2032371, -2031959, -2031547, -2031135?\n\"Answer: 412*m - 2032783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**3 + 3*r**2 - 2*r + 3. Let p be c(2). Let j(q) = -q**3 + 3*q**3 + p - 8*q**3 - 4. Let u be j(-1). Solve -u*m = -m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -35.9 - -71.8. Let w = d + -33.9. Which is the second biggest value? (a) w (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) be the first derivative of -4300*p**3\/3 + 1575*p**2 - 6081. Find the second derivative of r(a) wrt a.\nAnswer: -8600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -23747\/180 + 662\/5. Calculate the common denominator of l and 101\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2321140972?\nAnswer: 2, 179, 3241817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -2 divided by -50?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*n = 403*m - 400*m - 6597, -5*m = -4*n - 10969. Does 29 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from {j: 4, u: 3, q: 7}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 570 minutes after 8:58 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -40*g + 139 - 99 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -66 by -557.\nAnswer: 66\/557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 54808 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:00 AM and 8:38 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = 3.97 + -4.0218. Round z to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4419165.\nAnswer: 3, 5, 29, 10159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 0 (b) -21 (c) 0.22 (d) -1\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 220376 is divided by 347?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or 27\/7517921?\nAnswer: 27\/7517921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 21 divided by -483\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 17*z - 2. Let p(g) = 2*g - 20. Let r be p(6). Let t(a) = -6*a + 1. What is r*t(k) - 3*h(k)?\nAnswer: -3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 2.2 (b) 3 (c) 0.6 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/(2\/(-3)*(-6)\/(-4)). What is the lowest common multiple of -1 - 6\/c*-2 and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 8 - 8. Suppose q = 3*o - 5*j + j - 34, 0 = 3*o + 5*j - 52. Calculate the least common multiple of o and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-288)\/(-48)*(-10)\/(-165)\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 13033333331 (base 4) to base 9\nAnswer: 3516042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from yyyyyyyyyyyooo. What is prob of picking 1 o and 1 y?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = y**3 + 76*y**2 - 3*y - 228. Let b be m(-76). What is the closest to 0.1 in b, 4, -10, 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -16, -0.3, 2\/15 in descending order.\nAnswer: 2\/15, -0.3, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llrxmmmmgmxxgggg. Give prob of picking 1 g and 1 m.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 46, 2\/11, -11, 0.\nAnswer: -11, 0, 2\/11, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 130110.\nAnswer: 2, 3, 5, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -33 divided by 2.\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 133393, 134125, 134857?\nAnswer: 135589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(637) + 4 + -3 + -2)**2.\nAnswer: -14*sqrt(13) + 638","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Add together 5 and 2.76334485.\nAnswer: 7.76334485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 475, 474, 465, 442, 399, 330?\n\"Answer: -i**3 + 2*i**2 + 474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -2576 + -372?\nAnswer: -2948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (5 + 2 - 13530)*1*-29. Suppose -2*j = 27*j - m. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 190 (base 14) to base 16.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3214079786 to the power of 1\/2, to the nearest integer?\nAnswer: 56693","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(1728))\/(sqrt(54)\/(sqrt(18)\/sqrt(2))).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 0 (b) -1 (c) -2 (d) -16058 (e) 181\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24 - 2*g**2 + 2*g**2 + g**3 - 35.\nAnswer: g**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - w = 2. Let d be (-4)\/(108\/(-51)) - (-12)\/108. Suppose d*k - 13 = w. Let i(n) = 2*n - 9. Give i(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -81*y + 1064. Determine q(9).\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -59*s**3 - 8*s**2 - 9*s - 66. Let g be z(-21). Suppose 2*q - n = 122605 + 239397, -3*q + g = 3*n. Round q to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-24)\/(-10))\/(45*(-252)\/28350)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 3306 and 295336?\nAnswer: 886008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -620, -617, -606, -587, -560, -525?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 8511193, 8511193, 8511191, 8511187?\n\"Answer: -h**2 + 3*h + 8511191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 7, 0.3, 8, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.2 (b) -18 (c) -0.13 (d) -418.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 4\/5, -23, 3, 35, 2, 5\/17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3 = -x, -290*x = -2*l - 289*x + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let j = -490 - -488. Let f be (30\/(-90))\/(j\/840). Calculate the greatest common factor of 21 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 168746639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r + 1. Let j(v) = -9*v + 7. Let p(m) = 2*j(m) - 14*o(m). Let c(i) be the second derivative of -2*i**3\/3 + i. What is p(c(q))?\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3 - 2. What is the units digit of (5\/(x\/(-24)))\/1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -29*m**2 + 12*m**2 + 4*m**3 + 10*m**2 wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -r + 27. Suppose -3*g + 185 = r. What are the prime factors of g?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71 minutes after 11:27 PM?\nAnswer: 12:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v = -39 - -47. Let u = 0 + 8. Calculate the least common multiple of u and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 22, 172, 36 in descending order.\nAnswer: 172, 36, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -7 (base 15) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = 6*d**2 - 5*d - 5. Suppose -60 = -44*l + 14*l. Let r(s) = -l + 7*s**2 - 4 + 1 + 1 + 0*s**2 - 4*s. Give 5*r(c) - 4*v(c).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 883, 865, 847?\n\"Answer: -18*t + 901","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 264, 1006, 2240, 3972, 6208, 8954?\n\"Answer: k**3 + 240*k**2 + 15*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 54 = 41*c - 40*c, r + 42 = c. Which is greater: -3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -21875 + 21944. Solve d = -41*a + 18*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1686*y - 4690*y - 2025*y.\nAnswer: -8401*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 22 - 30 - ((-8 - 6) + 1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = -h**2 + 2*h - 2. Let r(k) = k**3 + k - 1. Suppose p - 3*p - a = -3, p + 2*a = 0. Determine p*r(i) - c(i).\nAnswer: 2*i**3 + i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1*1 - (-918)\/18. Suppose -746 = -3*h - f. Does 29 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -4 (b) -0.3 (c) 0.2 (d) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -26 - -21.1. Let w = 0.1 - y. Let f = 7.8 + -8. What is the closest to -0.2 in w, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -816511 - -1633023\/2. Factor -y - 3\/4*w - 1\/4*w**2.\nAnswer: -(w + 1)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.01 in -0.3, -0.0342, 6?\nAnswer: -0.0342","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6639, -13404, -20173, -26820, -33219, -39244?\nAnswer: -44769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 528441538 to the power of 1\/3, to the nearest integer?\nAnswer: 808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -25*s - 196. Let k be w(-8). Suppose 0 = -k*r + l + 665, 4*l = 6*r - 8*r + 310. What is the remainder when r is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8101*d + 8102*d - 16199*d - 1.\nAnswer: 4*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - 0)\/((-56)\/32)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*b - 630 + 335046 = 0. What is the hundreds digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 721834*n*w - 3*w - 864015 wrt n.\nAnswer: 721834*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pu when two letters picked without replacement from {o: 1, p: 1, d: 4, b: 4, u: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 8 = n + 2*p, 2*n + 2*p - 46 + 40 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -9 = -3*l + 5*u, -l = -23*u - 3077 + 3010 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 2, d: 3, b: 4, e: 1}. What is prob of sequence sb?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*y**2 + 2*y**2 + y**2.\nAnswer: 20*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 10110100010101110001110 (base 2) to base 10\nAnswer: 5909390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 17613178?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 3873 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 117, 93, 43, -39, -159, -323, -537?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 419841.\nAnswer: 3, 46649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 239*g - 2642 = 116*g + 2524 for g.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*i - 25 - 15. What is the common denominator of 6\/(i*1\/25) and (-14)\/(-175)*4830\/(-56)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10838797147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 9485 and 7128655?\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*j + 4*o + 1, -26 = -2*j + 4*o - 4. Suppose -j*k = -6*k + 36. Suppose 4*m + 53 = 5*h, 2*h + 0*h + 3*m = k. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 + -42c80?\nAnswer: -42c7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -8*n - 29. Give i(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -53*a**3 + 2*a**2 + 17*a + 42. Suppose -367 + 340 = 9*g. What are the prime factors of y(g)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-9820)\/(-28) - 8\/(-28). Suppose 44 = 4*a - 2*q - 426, 3*a - 3*q = l. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -40 + 40 + 34*b**3 + (-2*b**3 + 2*b**3 + b**3)*(0 - 1 + 0).\nAnswer: 33*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = 8*h**2 + 2*h - 2. Let c be z(-2). Suppose -2*n + 3*y = -35, -2*n - 5*y = -0*n - 59. Let i = c - n. Solve 18 = i*x - 2 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -q**3 - 3*q**2 + 4*q + 3. Suppose 0 = -0*k - 5*k - 30. Let z be i(k). Suppose -17 - z = -4*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose g = -2*g. Suppose -3*h + 24 = 5*d, 5*d + 2*h + 2*h - 27 = g. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -14461 or -14442?\nAnswer: -14461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand -102*h + 15*h - 4*h + (4 + 0 + 3)*(-3*h + h + 3*h).\nAnswer: -84*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the first derivative of -3*p**2 + 12*p + 11. What is the first derivative of z(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.05332483 * -0.2.\nAnswer: -0.010664966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -241.217 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 72180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 109, 314, 869, 1948, 3725, 6374, 10069?\nAnswer: 14984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**1)**(1\/11)*(q*q*(((q*q**(-1\/9))\/q)\/q)\/q*q*q)\/q*q\/(q**4*q)*q*q)**(1\/2) assuming q is positive.\nAnswer: q**(-101\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 253.4 + -251.4. Let r = -9.99 + 10. Which is the closest to r? (a) w (b) 4\/7 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 11 = 2*i - 4*s + 1, -5*s = -i + 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) be the third derivative of -121*j**5\/60 - 44*j**3\/3 - 237*j**2. Let r(q) be the first derivative of y(q). Let w(k) = 2*k**2. What is r(w(c))?\nAnswer: -484*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -2. Suppose -8*u = -4*u + f - 21, -5*f + 20 = 3*u. Suppose -u*n - 19 + 29 = 0. Let b(v) = -v - 21. What is n*b(d) - 22*l(d)?\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 30 = -10*y + 5*y, -5*y + 4*j = -21. Suppose 11 - y = 2*p. Solve p*s - 4 = s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -3*i + 22. Let j be (-4)\/i + (-39)\/15. Let t = 24 + -28. Sort -1, t, j in descending order.\nAnswer: -1, j, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z**2 + 15*z + 19. Calculate c(-15).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 19376 and 108176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*o**2 - 3 + 3 + (-6*o + o + 3*o)*(-3*o + 0*o + 2*o) + (-2*o + 0*o + o)*(2*o + 1 - 1 + 0*o + 4*o - 2*o + (-o - 5 + 5)*(-3 + 0 + 2)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0*(-4)\/(-20) + 3\/1. Let q = -0.2 + 0.3. Which is greater: q or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 8*i + 6. What is a(-4)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is fifteen quarters of a day in minutes?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 235*d**2. Let v(n) = n - 6. Let r(m) = -3*m + 30. Let l(p) = -r(p) - 5*v(p). Calculate l(h(z)).\nAnswer: -470*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6 - -2. Let q be n\/36*3*4. Sort 2\/13, -3\/8, q in decreasing order.\nAnswer: 2\/13, -3\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r + 2*r + r)*(24321 + 1335*r - 24321).\nAnswer: 1335*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c = -377.4 + 377. What is the nearest to -0.4 in 0.13, c, 3\/2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 1, y: 2, r: 2, j: 1}. Give prob of sequence yyj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-8)*f*f**(2\/7))**(-2\/13)\/((f**(2\/9)\/(f*f*f**(1\/3)*f))\/(f**(2\/5))**(-29)) assuming f is positive.\nAnswer: f**(-30532\/4095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(500) + 0) + -1 + 2*(3*sqrt(500) + 4 + sqrt(500)))**2.\nAnswer: 700*sqrt(5) + 12549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-20)\/(-20))\/(-28))\/(2\/64).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 949209?\nAnswer: 3, 316403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 219*l = 232*l + 260 for l.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -226785 + 13726\nAnswer: -213059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 10402664 and 5201332?\nAnswer: 10402664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) be the third derivative of h**9\/1008 + h**5\/60 - h**3\/3 - 8*h**2. Let s(j) be the first derivative of m(j). Find the second derivative of s(u) wrt u.\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose s + 5*r - 21 = -7, 3*s = -r + 42. Suppose 26 = -4*z - s. Let y = 30 + z. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 240193\/60 - 16037\/4. Calculate the common denominator of 65\/9 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 647\/5 + (-27)\/(-45). Let q be 60\/(-18)*1098\/(-5). Let x = z + q. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) be the first derivative of 10*i**7\/7 - i**4\/3 + 17*i - 19. Let k(m) be the first derivative of c(m). What is the third derivative of k(q) wrt q?\nAnswer: 3600*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 142572159.\nAnswer: 3, 3347, 4733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1)\/34)\/(((-2)\/(-8))\/1)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 2127446 less than 2127448?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r = 568 - 992. Let a = -56141\/3786 - 3\/631. Calculate the common denominator of a and 1\/4 - r\/(-320).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c + 4*c - 3 = 0, 2*s - c = -37. Let n = -10 - s. Suppose -5*u = -3*u - n. Solve w - 13 = 5*j, 5*w - 4 = -u*j + 1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hhyhyhhhhhhhh.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (sqrt(300) - (sqrt(300) + 2 + sqrt(300))) + -4 + -5)**2.\nAnswer: 260*sqrt(3) + 469","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 125*o**2 - 16201*o\/3 + 25960\/3.\nAnswer: (3*o - 5)*(125*o - 5192)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 9\/(-72)*4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = -0*d + 4*d, d = -5*l - 16. Let x = 3 - d. Let k be x - -2 - -1 - 10. Is 1\/4 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the third derivative of 0*i**5 + 0*i + 0*i**7 + 0*i**3 + 1\/56*i**8 + 0 - 1\/24*i**4 + 0*i**6 - 3*i**2. Find the second derivative of z(a) wrt a.\nAnswer: 120*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q + 17*q = -612. Let t = q + 54. Let j(k) = 2*k**2 - 3*k - 1. Give j(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 3 f when four letters picked without replacement from ffgfwfwfg?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-1 + ((-1 + sqrt(1377))*5 + (1 + sqrt(1377))*-4 + sqrt(1377) + sqrt(1377) + sqrt(1377) + 2 + (sqrt(1377) + -5*(1 + sqrt(1377)) - sqrt(1377)))**2).\nAnswer: -3040 - 432*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1540*x + 13 - 6*x**4 - 1538*x - 12*x**4 wrt x.\nAnswer: -72*x**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 519, 732, 1243, 2202, 3759, 6064, 9267?\nAnswer: 13518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -6 and -111?\nAnswer: 666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8 + -17. Let o(u) = u + 11. Let v be o(y). Which is the third biggest value? (a) v (b) 3\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(245)*-6 - (sqrt(320) - (sqrt(320) - ((sqrt(320) + sqrt(320) + sqrt(320) + 0 + sqrt(320) + sqrt(320) - sqrt(320)) + sqrt(320)) - sqrt(320)))**2.\nAnswer: -11520 - 42*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 13076166 to the power of 1\/3, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose r = d + 1, 0 = -3*r + 11 + 1. Suppose 5*b + 2*l - 8 - 35 = 0, -3*b - d*l = -24. Suppose -3*a + 0*a - b = 0. What is the nearest to 0 in -3\/5, a, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 18*t - 26*t**3 - 18*t - 2*t**3 - t**2 + t**2 + (0*t - 3*t + t)*(3*t**2 - t**2 + 0*t**2) + 2*t**3 + 5*t**3 - 5*t**3.\nAnswer: -30*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -17, -108 in increasing order.\nAnswer: -108, -17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 21482 - -59.006\nAnswer: 21541.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*h + 5*c = 120 - 223 + 139, 2*c - 4 = 4*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ehee. Give prob of picking 3 e.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1*(4 + 1 + 0). Let l = r - -4. Let g = -27 + 44. Calculate the remainder when g is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is thirteen fifths of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -c + 8 = 4*m - 12, 2*c = 5*m - 12 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 137308790 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: Is -226167 at most -6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 198 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t be (82 - 10)*(-86)\/4. Let r be (-3)\/2*t\/54. Suppose -h = o - 24, -2*o = 5*h - 4*h - r. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*k - 2*z + 4 = 0, 93 - 108 = -3*z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-358 - -277) + -2 + 61.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -103573.4 plus 5318?\nAnswer: -98255.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 23.98168um?\nAnswer: 0.02398168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - t = 41, 0 = j - 5*j - t + 40. Suppose 0 = -5*y - 4*c + 8*c + j, y + c = 9. What are the prime factors of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2\/7*z**3 + 6\/7*z**2 - 6\/7*z + 2\/7.\nAnswer: -2*(z - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-2)\/4)\/(70\/(-3017420)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = -9*n - 8. Let b(u) = -7*u - 6. Let w(k) = -4*b(k) + 3*t(k). Let j(l) = -91*l. Give j(p) + 78*w(p).\nAnswer: -13*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 606 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -2*o**3 - 9028*o - 9029. Give z(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 10924226 divided by 6653\nAnswer: 1642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rjtt when four letters picked without replacement from {l: 3, j: 3, t: 13, r: 1}?\nAnswer: 13\/3230","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = t - 2*c, -4*c + 13 = -3*t + 20. Let d = -2 - -7. Let i = d - t. Solve -i*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1056 - -1058. Which is smaller: k or 61?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (38 + 1118*i - 560*i - 557*i)*(-3 + 4 + 1).\nAnswer: 2*i + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 40984695?\nAnswer: 3, 5, 910771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*y**2 - 192956*y + 7917920.\nAnswer: -4*(y - 41)*(y + 48280)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25*t = 29*t - 124. Let j be (6\/(-12))\/((-3)\/162). Suppose t - j = 4*q. Which is greater: q or -2\/21?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42 divided by -42?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -4*a**3*m*v - 39*a**3*v*y + a**2*m + 2*a**2*v - 2*m*v*y - m*v + v*y wrt y.\nAnswer: -39*a**3*v - 2*m*v + v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.2 (b) 3\/7 (c) -0.1 (d) -10 (e) -526 (f) -5 (g) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*y + 1 - 1 = 97 + 309 for y.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, 1\/3, -2\/64379, 5?\nAnswer: -2\/64379","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes after 1:25 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -72*n = -46*n - 884 for n.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17 + 1 + -10 - 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27 + (-63 - (6 + -18))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -11100 (base 4) in base 13?\nAnswer: -1cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 268 is divided by 132.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 5*h**2. Let b be a(-1). Suppose -r - 2*r + 24 = b*v, 0 = -4*v. Suppose r = 5*c + 3. Let x(k) = 2*k**2 - 2*k + 1. Calculate x(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t so that -t**5 + 39*t**4 - 462*t**3 + 980*t**2 + 8232*t = 0.\nAnswer: -3, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 24 + -24.7. Let f = 80 + -75. Which is the smallest value? (a) j (b) f (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2904 - 1149 = -32*a + 1115 for a.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 443 minutes after 12:02 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 8*h - 9522 = 0. Suppose -h = -10*d - 1174. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*w + 6 - 3. Let s be (1 - 0)*18\/w. Let p = -9 - s. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6 a factor of 1140701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 322, 648, 972, 1294, 1614?\nAnswer: 1932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 103297?\nAnswer: 53, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = 4*y + 28, -3*l + 2*y = l - 18. Suppose n - 6 = -b, 5*b + 2*n = -l*n + 29. Solve -b*t - 13 = 2 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 18045607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the second derivative of 1\/2*w**3 - 6*w + 0 - 15\/2*w**2 - 13\/12*w**4 + 1\/20*w**5. Calculate the remainder when 94 is divided by p(13).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 10, c: 4, o: 1, x: 1, d: 2}. Give prob of sequence dgcd.\nAnswer: 1\/918","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -69*a - 2343. Let i be t(-34). Solve -28 = -5*q + 10*p - 9*p, 0 = -q - i*p - 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 95675635?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*t + 27 = -5*t. Let j = -17 + t. Suppose 0 = -7*p + 2*p + j. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 2*u**2. Let w = 7 - 2. Suppose -3*i + 19 = 5*z, -4*z = w*i - 21 - 2. Let k(p) = z + p - 2. Determine y(k(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t = -t + j + 5, -2*t - 20 = 4*j. Suppose -6*x = -t*x - 36. Solve -3*i - x = -3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 100626266249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in 988, -2825, -16230, -44021, -90992?\nAnswer: -161937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 15546, 15540, 15534?\nAnswer: 15528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = q**2 + 35*q + 296. Let t be c(-20). Let a(h) = 9*h**2 - 3*h + 1 + h**3 - h**2 - 4*h**2. What is a(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-4)*0\/(-2). Let f be (-4 - (-51)\/12) + 0\/(-2). What is the nearest to f in -4\/3, 3\/8, v?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7389?\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -2*w**3 - 5*w**2 + 2*w + 2. Suppose 2*r = -5*x + 7, -x = 2*r - 4*x + 17. Let c be y(r). What is the units digit of 1 + -5 - (0 - c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iqqqqiiqqqi. Give prob of picking 2 q.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 16703747 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t = 87 - 60. Suppose 3*i = 108 - t. Let x = 38 - i. Calculate the least common multiple of 1 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) be the third derivative of -v**5\/20 + v**4\/24 - 5*v**3\/6 + 42560*v**2. Let y be 1\/3 - 8\/(-3). Let k(p) = -y + 1 + 2*p**2 + 5. Give 5*k(q) + 3*t(q).\nAnswer: q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify r*r*r**3*r**(-1)*(r**(-1\/2))**(-39) assuming r is positive.\nAnswer: r**(47\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 10909445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 21*n**2 - 159*n - 619. What is the remainder when l(-4) is divided by 86?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = 13*v - 9. Let a be -1*4 + 2 - 5. Let x be u(a). Let n = -65 - x. What is the remainder when n is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = l**3 + 11*l**2 + 15*l + 20. Let f be 272\/(-27) + (-66)\/(-891). What is q(f)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -4 + -3*(-204)\/153. Factor 2\/11*b**3 + 0 + a*b - 20\/11*b**2.\nAnswer: 2*b**2*(b - 10)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.3 - 0.1. Let k = 0.3 - 3.3. Let u = 0.4 + 0.1. Which is the nearest to k? (a) l (b) -3 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 8*y - 4. Let l be b(2). Let a be (l\/40*4)\/(6\/20). Solve -t + 0*t = a for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 468 + -451. What is the highest common divisor of 323 and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -9.112693 to one decimal place.\nAnswer: -9.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = 60*l + 59. Let d be j(21). Let h = d - 6569\/5. What is the common denominator of h and 38\/31?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -330 + 332. Differentiate 4*l - 63 - 36*l + d*l**3 + 66 with respect to l.\nAnswer: 6*l**2 - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21 + -79 - (24 - 48).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = -b - 9. Let q(o) = o + 1. Let c(v) = -2*q(v) - s(v). Suppose 0 = -28*n + 41*n - 65. Suppose 3*h - n*k + 7 = 51, -3*h = 5*k - 4. Determine c(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 155\/14274 and 151\/2597868?\nAnswer: 2597868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z + 37 = -5*l, 9*z + 4*l = 4*z + 40. What is the remainder when 45 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*b = 2*b - 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the second derivative of -y**4\/12 + 7*y**3\/6 - 3*y**2 - 5*y. What is c(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2102212122121 (base 3) in base 9?\nAnswer: -2385577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 12.8 - 13. What is the closest to 1 in 4, u, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 0.27, 4, -2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-9)\/6 + (-21)\/(-6). Suppose -3*f - 130 = -j*k, -5*k - f = -319 - 23. Is k a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/4 and -127\/72.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m be 3\/4 - 1914\/2255. Let f = m - -2\/41. Let o(v) = v**2 - 2*v. Let q be o(2). Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 969253+0.39\nAnswer: 969253.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {y: 1, o: 6, d: 4, g: 2, r: 1, h: 1}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*p**2 + p**2 + 3 + 5*p**2)*((-4 - 1 + 2)*(-3*p + p - p) - 73*p + 16*p - 19*p).\nAnswer: -134*p**3 - 201*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-9))\/(3\/(-9)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 10 - 10*c - 16 + 24. Let q be m(5). What is the tens digit of -1 - 2 - (q - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -147.101 + 147. Let j = d + -39.899. Let t = j - -39.9999962. What is t rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*o = -7 + 7 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the first derivative of c**2\/2 + 7*c + 20. Let i(p) = 1. Give 35*i(z) - 5*y(z).\nAnswer: -5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k**3 + 7*k**2 - 10. Let b be f(-6). Suppose 0 = -9*v + b + 19. Solve 4*u = 15 + v for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*r + 0 + 0 + (-1 + 0 - 1)*(-r + 3*r - 3*r) + r - 2*r + 0*r - 4*r + 5*r - 3*r + 52 - 111 - 5*r + 71 + (3*r - r - 3*r)*(-2 + 1 - 1) + 5*r - 5*r - 3*r.\nAnswer: -10*r + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of ((-300)\/9)\/(14\/(-42))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -91, -4, -3\/7 in increasing order.\nAnswer: -91, -4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*(sqrt(190) + sqrt(190)*-1*-3))\/(sqrt(90)\/(sqrt(45)\/sqrt(5)*-5)))**2.\nAnswer: 273600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (k + 0 + 0 + (-k - k + 4*k)*(1 - 1 - 4) + 5*k - 4*k - 3*k)*(0 + 0 - k**2).\nAnswer: 9*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -3*i + 3. Let p(g) = -g + 1. Let o(c) = j(c) - 4*p(c). Let x(a) = 3 - 4*a - 4*a + 2. Suppose -2*m + 5 = 3*m. Calculate m*x(k) + 5*o(k).\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose a + 322 = 2*t, -5*t = -0*t + a - 812. Calculate the greatest common factor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 2 + 43193*y - 67275*y to s + j*y and give j.\nAnswer: -24082","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least 1307\/174543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -113*k**3 + 2*k**2 - 1. Let r be x(1). Calculate the remainder when (-8160)\/r - 2\/(-14) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = 7*j - 36. Suppose v + 14 = j*v. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -8105400 to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 18193079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -655*r + 655*r - 3 - 2*r**2 - 3*r**3 to the form b*r**2 + l*r + u + t*r**3 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-192)\/(-1728))\/((-102)\/(-12)*(0\/(-6) + 2))?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + 2 + (-8 - -13) + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.304*-7.\nAnswer: -2.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 0, -5071\/6, -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1554731.\nAnswer: 23, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 + -8. Let p = 45 - 34. Let a = p + u. Solve -25 = -f - 5*y, -14 + 34 = a*f + 4*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (39\/(-26))\/(-3*4\/64). Solve -14*d = -q*d - 12 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 90982160 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand q**3 - 8*q**3 + q**3 - 2*q**3 + 0*q + 0*q + 1 - 2*q**3 - 1 + (-1 - q**2 + 1)*(-q + 0*q - q) + q**2 + q**3 - q**2 - 1 + 1 - 2*q**3 - 5*q**3 - 5 + 5.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*w**4 + 0*w**4 + 0*w**4 + (-8*w**3 - 2*w**3 + 2*w**3)*(2*w + 0*w - 3*w) to l + d*w**4 + j*w + q*w**3 + n*w**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:24 AM and 11:36 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the third derivative of -p**7\/35 - 4*p**6\/15 + 19*p**5\/30 + 11*p**4\/3 + 4*p**3 - 23*p**2 - 5. Suppose t(q) = 0. What is q?\nAnswer: -6, -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-5)\/(-2))\/(4\/132*55)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) be the third derivative of -v**4\/24 + 10*v**3\/3 + 20*v**2. Let l be m(14). Let o = 10 + l. Calculate the least common multiple of 20 and o.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -4*j**3 - 2*j**2 - 1. Give w(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26 + 26*m**2 + 26 - 77 + 25.\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y - 6. Suppose 0 = -9*k + 4*k + 25. Let i(o) = o - 7. Give k*f(a) - 4*i(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let 21\/4*h**2 + 1\/4*h**3 - 285\/4*h + 775\/4 = 0. Calculate h.\nAnswer: -31, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1134.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 803171 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -4*o - 11. Give q(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v\/(v\/((v\/(((v*v\/(v*v**1)*v)\/v)\/v))\/v)*v))\/v**2)**(-26)\/((v**(-6)\/(v*v**(-3\/4)*v))\/(v\/(v\/((v\/v**5)\/v*v))*v**(-3\/5))) assuming v is positive.\nAnswer: v**(1093\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 14547583 is divided by 65?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5\/11? (a) -1182 (b) -0.5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 - -414520?\nAnswer: 414522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -16 - -15. Let r = -1.00002 - v. Round r to four decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = f**3 + 10*f**2 + 9*f - 243. Calculate the remainder when b(20) is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8 - (-4 - 4 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sum 32411577877 and -2.\nAnswer: 32411577875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 54 divide 164476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gg when two letters picked without replacement from qqoggqgg?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 281*o - m + 6 = 277*o, -3*m = 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -211 - -4?\nAnswer: -20d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1895*m**3 - 2*m + 253 wrt m?\nAnswer: -5685*m**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2*6\/18)\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (2\/(-9))\/((-7)\/(-546)). Let p = 18 + a. Let q = -0.3 - 1.7. What is the nearest to q in p, -2, 4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10 = -6*c + c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6*d**3*v**3 - 3*d**3 + d*v**3 - 73 wrt d.\nAnswer: -36*d*v**3 - 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = 2*u**2 - 6*u - 9 - 20 + 5 - 13. What is the units digit of j(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) be the first derivative of 2*w**3\/3 - 20. Let q(t) = -11*t. What is j(q(k))?\nAnswer: 242*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -11*z**2 - 6*z + 17. Determine q(4).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2937 + 4473 = 13*j. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*q + c - 0*c - 36, q + c - 20 = 0. Let u = q + -14. Suppose u = -4*k + 14, -x = k - 10. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -34 + 31. What is the smallest value in a, 5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from cmiiiimifijmi. What is prob of picking 1 i and 1 j?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1442 and 281602?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 8049353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*w + r, -3*w + 10 - 2 = r. Suppose -2*n = -w*t + 18, 3*t - 4*n = n + 21. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((443562\/413)\/(-179))\/(3\/12 + 9\/(-68))\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 9 + (53 - 61 - 1\/1). Let m(q) be the third derivative of 9*q**2 + 1\/6*q**4 + 0*q - q**3 + 1\/30*q**5 + i. Let m(k) = 0. Calculate k.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 823853, 823851, 823851, 823853, 823857, 823863?\nAnswer: 823871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: What is next in -73410, -72141, -70026, -67065, -63258, -58605?\nAnswer: -53106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) be the first derivative of -3*z**5\/5 - 4*z**2 + 3. What is the second derivative of b(o) wrt o?\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -26 divided by 12.\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 71*b**2 - 2153*b + 12928. Determine q(6).\nAnswer: 2566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in 0.1, -8, 0.4, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 79521 and 663.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) be the third derivative of -13*g**5\/30 + 12*g**2 - 79*g - 27. Let j(d) = 5*d**2 + d - 1. Let u be j(1). Let s(y) = u*y - 2*y - 2*y. Give v(s(i)).\nAnswer: -26*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -212 divided by 3\nAnswer: -212\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 80 = j + 5*g, 3*g + 4 = j. Is (-4 + 12 + -3)*j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -62 + 78. Suppose y = 4*r, -2*c - 4*r = r - 218. Suppose 0 = 24*a - 21*a - c. Is a at most as big as 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 12, -15, -5, 2603, -3, -4 in ascending order.\nAnswer: -15, -5, -4, -3, 12, 2603","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -187c40 (base 13) in base 11?\nAnswer: -391818","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*x**3 - x**3 - 7*x**3.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 144 is divided by 78?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9)\/(-63) + (-15)\/7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rrvc when four letters picked without replacement from cvbqxrrq?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 79*b**2*y**2 - 1305025*b**2*y + 1252*b*y**2 - 2*b*y + 3*y**3 - y wrt y.\nAnswer: 158*b**2 + 2504*b + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 3 = -0. Let t = x + 5. Suppose -5*k = -w + 30 - 11, 4*k - 4 = -4*w. Solve z = 4*i - 18, -w*z - 17 + 1 = -t*i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j + 8 = -4*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -4994, -6265, -9710, -16415, -27466, -43949, -66950, -97555?\n\"Answer: -181*t**3 - t**2 - t - 4811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 2, 73, 1, -3, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*-4*sqrt(5)*2*-2*1 + sqrt(500)*-2 + 0 + 2 + 1*sqrt(500).\nAnswer: 2 + 86*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = 5*g + 35, -273*f + 276*f = -g - 19. Put g, 2, 13, -3 in increasing order.\nAnswer: g, -3, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -111 - -31. Let m = h - -75.4. Let q = m - -4.5994. What is q rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 98.13039 grams?\nAnswer: 98130390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = -17 - -9. Let d = t - -40. Let i be 30\/9*(-36)\/(-15). What is the highest common factor of d and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*6*2*(-3 + (sqrt(405) + 1 + sqrt(405) - sqrt(405))).\nAnswer: -48 + 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**3 + 117*q**2 - 459*q + 6. Determine a(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1538 is divided by 378.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -414, -1692, -3832, -6840, -10722, -15484, -21132?\nAnswer: -27672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 2.002415 millennia?\nAnswer: 20.02415","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 7*j + 78. Let f be z(0). Suppose -5*c = -93 + f. Let s(w) = -w - 2. Calculate s(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/a**5*a\/(a*a**(-1)))**(2\/15))**(4\/27) assuming a is positive.\nAnswer: a**(-8\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(-100)*(-7)\/7*10?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -102022555 (base 6) to base 4.\nAnswer: -12301220213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:47 AM and 12:25 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aaa when three letters picked without replacement from rarraaarararrarr.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -77*x + 59*x + 162 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = -28 + 16. Let h(d) = -d**2 - 11*d - 5. What is the units digit of h(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 6.99 and 10.\nAnswer: 69.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + -9 + -3 + 10 + 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0.14 + 8.86. Let a = k - -2. Suppose 8*z - 318 = -302. Sort a, z, -2\/5 in descending order.\nAnswer: a, z, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -3*g + 41*g**2 + 5*g - 2*g. Let n(p) be the second derivative of -p**3\/6 + 60*p - 3. What is c(n(b))?\nAnswer: 41*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/(-3)*(8 - -1). Suppose -15 = -r*t - 6. Suppose -t*u = -u - 4. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -161*x - 602 - 203 = -196*x for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 6637811 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify w*w*w**(1\/3)*w*w*w*w**13\/w*(w**1)**(-2\/29) assuming w is positive.\nAnswer: w**(1502\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 2763768060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Work out -3.9 * 530.\nAnswer: -2067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (3527 - 4092 + 3378)*(y - 2*y + 0*y + (y - 2*y + 0*y)*(-1 + 2 + 0)) + y + 2*y - 5*y.\nAnswer: -5628*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k = 20, 2*k - 29 + 7 = 4*f. Let m = 0 - f. Find the first derivative of -m + 7*a**4 + 8*a**4 - 16*a**4 + 1 wrt a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q + 21 = -n, -4*q - 102*n - 2 = -105*n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ugamk. What is prob of picking 1 a and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -4 divided by 9654417\nAnswer: -4\/9654417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 345 minutes before 3:03 AM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express 8603*j**2 - 2571*j**2 + 8700*j**2 in the form l*j**2 + d*j + n and give l.\nAnswer: 14732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vcc. What is prob of sequence ccc?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -201 (base 3) to base 12\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m be (3\/(-6))\/(3\/6) + 5. Differentiate 79*u + 5 - 7*u**m - 11*u**4 - 79*u with respect to u.\nAnswer: -72*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 17\/6 of a day?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 175 + -105. Calculate the greatest common divisor of x and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 3\/3557 (b) -0.2 (c) 762\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-8)\/(-6) - 2912\/(-48)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 4704*i**4 + 1064*i.\nAnswer: 56448*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/k**(2\/3))**(-18)*k**(3\/10)*k*k**(-1) assuming k is positive.\nAnswer: k**(-57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u be 10*(108\/8)\/(-9). Sort 0.3, -0.2, u.\nAnswer: u, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*r**4 + 2*r**4 - r**5)*(-30 + 66 + 29).\nAnswer: -65*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = -6 + 5.98. Let o = 0.020025 + a. What is o rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 54337586 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let k be 1\/2*1*4. Suppose -10*j = -5*j + 5. Let w be j + (0 - k - -5). Solve -x - x + w = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -120 times -0.06439?\nAnswer: 7.7268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -6*b. Let n(t) = -t. Let u(z) = -c(z) + 5*n(z). Let h(k) = 208*k - 64. Let f(a) = 19*a - 6. Let o(i) = 32*f(i) - 3*h(i). What is u(o(q))?\nAnswer: -16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 4193773088?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 8539 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -4\/7755 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1 or 1\/73670833?\nAnswer: 1\/73670833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q**2 + 0*q**2 + 0*q**2)*(1 + 2 - 1) + q - 2*q**2 - q + (5*q**2 - 4 + 4)*(-4 + 0 + 2).\nAnswer: -14*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of -3 + 59 + -2 + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -100001 + -110001?\nAnswer: -1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express -48*x + 18*x**2 - 47*x**2 + 0*x**3 + 28*x**2 + 2*x**3 in the form g + p*x + q*x**3 + u*x**2 and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k. Let a(u) be the third derivative of u**8\/160 + 13*u**5\/60 - u**4\/8 + 12*u**2 - u. Let f(g) be the third derivative of a(g). Calculate f(l(n)).\nAnswer: 126*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 428 minutes before 8:29 PM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00109714 to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*d = -21*d - 90. What is the remainder when -3 - -4*(54 - 1) is divided by 0 + d\/6 - -26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -f**4\/12 + f**2\/4 - f\/6.\nAnswer: -f*(f - 1)**2*(f + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -4.1 + -0.9. Suppose 112 = 47*c - 19*c. Sort 3\/2, f, -1\/2, c.\nAnswer: f, -1\/2, 3\/2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1146 - -1182. Is r bigger than 38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3696, -3, 4, 5, -6 in increasing order.\nAnswer: -6, -3, 4, 5, 3696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/7080 and 47\/26904.\nAnswer: 134520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes before 11:38 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is ((24\/(-336))\/((-4)\/14))\/(((-92)\/1664)\/(-23))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 669 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -179*n**3 + 0 + 186*n**3 - 2*n - 3*n + 1 in the form z*n**3 + q*n + r + h*n**2 and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7 - 24 - -46) + -9 - -7?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3\/5? (a) -1251\/4 (b) -0.3 (c) -26.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s\/((s*s**(1\/34))\/s))\/s)**(5\/16) assuming s is positive.\nAnswer: s**(-5\/544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(-2))\/((-180)\/1080).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -25 (base 11) in base 12?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(25)\/(sqrt(5) - (sqrt(80) - sqrt(5))).\nAnswer: -5 - sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*s - 3*s + s**2 + (0*s - 4*s + 2*s)*(3 - 3 - 4*s))*(-5*s**2 + 35*s**3 + 4*s**2 - 24*s**3).\nAnswer: 99*s**5 - 9*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 10*q**2 - 3*q + 25. What is the tens digit of r(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -34 + -25?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Total of 1.87 and -0.99989909.\nAnswer: 0.87010091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 10091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.047*-58.\nAnswer: -2.726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 207 minutes after 4:31 AM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*l - 114 - 10. Suppose -5*p + l + 13 = 0. Suppose 0 = z - 1 - 7. What is the remainder when p is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 436 and 19231851.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*z = -1218 + 130. What is the greatest common divisor of z and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 6 - 1228\/256*3654. Let s = -17519 - t. Calculate the common denominator of s and -35\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1061740000 to the nearest 1000000.\nAnswer: -1062000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = 4*u**3 - u**2 + 2*u - 5. Let o be b(-7). Round o to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5007 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 156463107187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is z in -210*z**5 + 669*z**4 - 594*z**3 + 204*z**2 - 24*z = 0?\nAnswer: 0, 2\/7, 2\/5, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2.2 times -0.299?\nAnswer: -0.6578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q be 12\/(-30) + (-92)\/(-5). Let r(p) = -p**3 + 20*p**2 + 4*p - 7. Is r(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.091, 136, -3.\nAnswer: -3, 0.091, 136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -54531 divided by 18177\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 1516 divide 284791212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -305 in 4\/7, 2, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3434, 17193, 46470, 96455, 172338, 279309?\nAnswer: 422558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = 3*t - 5. Let i(f) = 48*f - 81. What is 2*i(v) - 33*q(v)?\nAnswer: -3*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10 - 6. Suppose -2*h = b - 22. Calculate the least common multiple of ((-32)\/40)\/(2\/(-5)) and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4202*q**3 - 68 + 8400*q**3 - 4200*q**3 + 129 - 61.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 160 minutes before 6:44 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-2)*d*d)\/d**4*(((d\/(d**0\/d))\/d)\/d)**(-2\/9))**47 assuming d is positive.\nAnswer: d**(-188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*x + 168 = 184. Let k be (0\/9*x\/(-4))\/(-1). Solve 4\/3*y - 14*y**2 + 38\/3*y**3 + k = 0.\nAnswer: 0, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -13625 + 3303?\nAnswer: -10322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 61350497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -0.11 * 5\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-3 + 82)*(-2 + (0 - -7)). Let x = 411 - y. Solve -4*c + 28 = -4*u, 0*u - 3*u + 2*c - x = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000944 to seven decimal places.\nAnswer: -0.0000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 3*d = -13, 14 = -5*h + 5*d - 6. Is (-2 - (h + -134)) + -5 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*t + t - 3*t)*(6*t - 3*t - 4*t) - t**2 - 6*t**2 + 4*t**2)*(0 + 0 - 2)*(5*t - 2*t - 2*t)*(5*t - 2*t - t).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 43\/78210 and 167\/15282234.\nAnswer: 76411170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 - 4. Let y = 7.128 + -0.028. Let i = y - 2.1. What is the nearest to 0 in i, t, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes before 6:13 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = -2*n**2 - 75*n + 70*n + 9 - 3. Let a be h(-6). Let z = 58 + a. Does 17 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -9b083 (base 13) to base 5.\nAnswer: -33000243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3098, -2624, -2146, -1664, -1178?\nAnswer: -688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve g**2 - 136*g + 4624 = 0 for g.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.3, -1905, -0.4, -2\/27, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2\/11 (b) -234 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -25663 + 26013.86. Let o = w + -356. What is o rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -300.08 + 1.38. Let j = -263 - o. What is j rounded to 0 dps?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*o - 16 + 6. Suppose -l - 3 = 0, 4*n - o*l + 0*l = 71. Calculate the lowest common multiple of n and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 86680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 16? (a) -0.4 (b) -57 (c) -4.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*f + 9 - 27. Let o(d) = 2*d**2 + 5*d - 6. Let x = -27 - -46. What is the remainder when o(f) is divided by x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 8 - 6 = 0. Let k(s) = 63*s**3 - 2*s**2 + 1. What are the prime factors of k(n)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 + 1 = 4*n. Suppose p + t = -t + 9, 0 = n*p + 5*t - 55. Calculate the greatest common factor of 104 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 193*i + 1090 - 1476 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 7383?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5701634019?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -z. Let p be o(-2). Suppose 2*i = i - p. Let v(f) = -f**3 - 2. Give v(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 19 = 3*j + 5*k, -7 = j + 2*k. Suppose 4*a - j = 7. What are the prime factors of 2\/(-2) + 2 + a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38850547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -62*s + 11*s - 11*s + 4030 for s.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = 16*h**3 - 313*h**2 + 177*h + 141. Calculate s(19).\nAnswer: 255","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 10 and 285813925?\nAnswer: 571627850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 111488.0571 milliseconds in weeks?\nAnswer: 0.00018433871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 35883 by -1329.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = -113.87 - -113. Let b = l - -0.87. Suppose -6*g + 7 + 65 = 0. Put b, g, -2\/21 in decreasing order.\nAnswer: g, b, -2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-17)\/(-4 - -2 - -1). Suppose 3 = -4*r - v. Put r, -4, 0.4 in descending order.\nAnswer: 0.4, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 7899811 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.4 (b) -3\/18982 (c) 103\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 13\/71884 and -1\/1150144.\nAnswer: 1150144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*d + 11*d - 15 = 0. Suppose -2*k - 591 = -d*k. What are the prime factors of k?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(2448) + -3 - ((sqrt(1088) - sqrt(17))*-4)**2) - (0 + (((sqrt(119) + -1*sqrt(119))*2)\/(sqrt(63)\/(sqrt(9) + (sqrt(144) - sqrt(9)))))**2).\nAnswer: -13328 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*l - 661875 = -18*l + 6*l. Is l a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 2781530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 72 (base 13) to base 12\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39*o = 40*o. Suppose -5*b - 20 = h - o*b, -4*b - 16 = 4*h. Solve -2*n + 4*p - 8 = 0, -3*n - 3*p + h*p = -24 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -218911 (b) 1\/6 (c) -1 (d) 4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 407 and 397639?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 2 + 2)*(-2*o**2 + 2*o**2 - o**2) + 265*o - 122*o**2 - 265*o + o**2 - 2*o**2 + 0*o**2 + 5*o**2 + 2*o**2 - 6*o**2 + (3*o - 2*o - 2*o)*(1 - o - 1).\nAnswer: -119*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate (23 - (-7 - -48)) + 44.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 47458880.\nAnswer: 2, 5, 7, 21187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3462951*p**2 - 1348086*p + 2 wrt p.\nAnswer: 6925902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 113, 112, 111, 110, 109, 108?\n\"Answer: -r + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = 5*t + 1. Let f be (9\/(t - 1))\/(-3). What is the third derivative of 10*i**2 - 5*i**5 - 6*i**2 + f - 1 wrt i?\nAnswer: -300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3310717 is divided by 70432.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 8\/15 in -2\/7, 3\/2, 0, -16\/5, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 7.078053mg in kilograms?\nAnswer: 0.000007078053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = k**2 - 7*k + 6. Let o = -10 + 15. Give t(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 202834319?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-1))**10*k*(k\/(k\/(k\/(((k\/k**(-1\/3))\/k)\/k))))\/k*k*k*k\/((k\/((k\/(k\/(k\/(k\/k**(-4\/5)))))\/k*k*k))\/k) assuming k is positive.\nAnswer: k**(-77\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**32*k\/k**(2\/7))\/((k\/k**(-1\/6))\/k**17))**37 assuming k is positive.\nAnswer: k**(75443\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -185, -131, 24, -2 in decreasing order.\nAnswer: 24, -2, -131, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 7a0c (base 16) to base 14\nAnswer: b55a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 14) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*f - 2*f**2 - 182*f**3 + 7*f + 185*f**3 to the form y*f**3 + m*f + q*f**2 + c and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 1105237 - 1105217 - 19*c**3 - 35*c**3 + (7*c + 2*c**2 - 7*c)*(c - c + c) in the form z + x*c**3 + t*c**2 + d*c and give x.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 275.44293 minutes?\nAnswer: 0.0273256875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -78 - s - 6*s**2 - 10*s**2 + 40 + 17*s**2 + 39. Suppose 0 = -u + 3*y + 8, y + 0 = u - 2. Let l(i) = 5*i - 3. What is u*l(z) - 3*r(z)?\nAnswer: -3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 - 464?\nAnswer: -471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -5\/17, 0 in descending order.\nAnswer: 5, 0, -5\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 163.68195 less than 0.5?\nAnswer: -163.18195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert c1 (base 16) to base 2.\nAnswer: 11000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.119? (a) -3\/4 (b) 0 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -2*t - 19. Let c(l) = 29*l - 19. Let u(k) = 63*k - 39. Let w(b) = 13*c(b) - 6*u(b). Determine 5*v(g) - 8*w(g).\nAnswer: -2*g + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -1530 divided by -15?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -10668, -21350, -32032?\nAnswer: -42714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = 69\/55 - 16\/11. Let f = -3 + 6. Let c = -0.14 + -0.26. Sort f, a, c.\nAnswer: c, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3896439688 to the nearest one hundred thousand.\nAnswer: 3896400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9 + -2. Let a = 17 + z. Suppose -3*l = -a*l + 117. List the prime factors of l.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -7*14\/(-343)*(-27)\/(-18)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3995 and 254035.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 8021437?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -556, 668, 3994, 10472, 21152?\n\"Answer: 175*k**3 + k**2 - 4*k - 728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3669 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -3612*g = -3632*g + 1600 for g.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3069, 5574, 8079?\nAnswer: 10584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 135 - 73. Let z = -188\/3 + d. Let k = -1.2 + 6.2. Which is the nearest to 0.1? (a) 0.3 (b) z (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 661 minutes after 1:51 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 1 + 3 + (1 - 1 - 1)*(228 + 592 - 537))*(c - c**4 - 3*c**3 + 0*c - c**3).\nAnswer: 284*c**4 + 1136*c**3 - 284*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 878 and 14.\nAnswer: 6146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1 + -13044000?\nAnswer: -13043666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h = -10 + 6. What is the least common multiple of 6 and -4*h\/32*16?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*m - 9*m + 55 = 12*x - 12*m, -x + 25 = -4*m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -1201.55 * -0.1\nAnswer: 120.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 2*v**3 - 3*v**2 - v + 2. Let a be o(2). Suppose -t + 0 + 2 = 0, -t - 30 = -a*p. Suppose 0 = 5*k - k - p. Solve k = -0*h + 2*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -50? (a) -8 (b) -2 (c) 5 (d) 0.4 (e) 24\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -5a6 (base 14) in base 4?\nAnswer: -101212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n = -43 + 83. Let w be (-4)\/(-8)*3\/(3\/n). Let m = -3 - -6. Which is smaller: w or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the third derivative of 0 - 4\/3*c**3 - 5*c**2 + 0*c**5 + 23\/40*c**6 - 1\/12*c**4 - 5*c. Differentiate i(n) with respect to n.\nAnswer: 207*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-1)\/(0 + 1))\/(-1). Suppose -1 - g = 2*l + 3*z, -4*l = -5*z - 18. Is (41 - l)\/3*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 365 - 6875. What is the hundreds digit of 12\/(-30) + c\/(-25)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the third derivative of -m**5\/60 + m**4\/24 - 8*m**2. Let y be a(1). Factor 0*z + 0*z**2 + 0 - 1\/4*z**4 + y*z**3.\nAnswer: -z**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1488 = -70*f - 23*f for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-3)*(-19 + 24 + 69\/(-3))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 9380 + -9348. Calculate the smallest common multiple of a and 892.\nAnswer: 7136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -22 - -43. Let n(z) = z**2 - z + 1. Let d(c) = c**3 - 5*c**2 + 8*c - 7. Let g(w) = k*n(w) + 3*d(w). Suppose g(s) = 0. Calculate s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 173 divide 106049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d**7\/d)\/d)\/(d**1*d))**(2\/17) assuming d is positive.\nAnswer: d**(6\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1848 + 7780. What is the hundreds digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -12*-1*(-1)\/(-3). Let x = f - 5. Let k be 1*x - 25\/(-20). What is the third smallest value in k, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 982247*a + 0.\nAnswer: 982247*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 294 less than 0.1?\nAnswer: -293.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = 62 - 45. Let w = y + -3. Let f(l) = l**2 - 2*l + 29. Let k be f(w). Round k to the nearest 10.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -509 + 507. Let y = -141 + 116.2. Let h = y - o. What is h rounded to zero decimal places?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 7 - 346?\nAnswer: -33b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72 = 5*a - f + 19, 4*a + 76 = 4*f. Let z be (12\/a)\/(2 + (-10)\/6). Put -6, 1, z in increasing order.\nAnswer: -6, z, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -261 - -366. Let g = 104 - s. Is 2\/53 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 308981, 2471841, 8342467, 19774745, 38622561?\n\"Answer: 308981*u**3 - 3*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + z + 2 = r, 4*z = -3*r - 9. Let j(o) = o**3 + 8*o**2 - 8*o - 3. Let v be j(-9). Let f(u) = u + 15. Let q be f(v). Which is bigger: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 419 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q be (6 + -2)*(-1)\/(-8)*22. Let v(m) = -12*m + q*m - 21*m. Let d(n) = n. Determine d(v(z)).\nAnswer: -22*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -29 + 27. Let d(x) = -2*x**3 - 3*x**2 + 2. Calculate d(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80 a factor of 107237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -587 divided by 1\nAnswer: -587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 32406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8728 + -5102. What are the prime factors of b?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 3 - (-2)\/(32\/12)*-4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3947*w**5 - 2*w**4 - 238*w**3 + 2*w**2 + 38*w - 13576.\nAnswer: 236820*w**2 - 48*w - 1428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -60 = 4*q - 64 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.3, -1618, -3, -1, -2\/15, 3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 145, 0, 26 in increasing order.\nAnswer: 0, 26, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is (-12)\/8*4\/6*-6857 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s + f = -7, 5 = -f - 0*f. Let t be (0 - -1)\/(s\/3*1). Put 1, -5, t in descending order.\nAnswer: 1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 14*b - 7*b**2 + 6*b + 5*b**2 + 7*b**2 = 0. Calculate b.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 37 + -42. What is the smallest value in 0, -0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 169, 0.2, -0.5, -1, -3, -0.3 in decreasing order.\nAnswer: 169, 0.2, -0.3, -0.5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 5*o**2 - 359*o + 668. What are the prime factors of c(111)?\nAnswer: 2, 2803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -306*c**2 + 5*c - 1096. Let y(f) = -305*f**2 + 3*f - 1093. Let p(w) = -2*b(w) + 3*y(w). Differentiate p(q) with respect to q.\nAnswer: -606*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u\/(u**0\/u))**(-3\/4)\/(u**(-1\/4)*u\/((u\/(u\/(u**(-7)*u)))\/u)) assuming u is positive.\nAnswer: u**(-37\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) be the first derivative of p**4 - 20*p**3\/3 - 12*p**2 - 35. Factor d(q).\nAnswer: 4*q*(q - 6)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -34490*v**2 - 4 + 34481*v**2 + 4.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -641*r**3 - 5*r**2 + 5*r - 5. Let i(a) = -285246*a**3 - 2226*a**2 + 2226*a - 2226. Determine 5*i(t) - 2226*x(t).\nAnswer: 636*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -2136*b + 328924. Give n(154).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 2.196381 weeks in nanoseconds?\nAnswer: 1328371228800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 1033440 - 2?\nAnswer: 1033433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = 326 - 54. Suppose -6*n - j + 824 = 0. Calculate the greatest common factor of n and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 17635 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 42, 345, 1166, 2763, 5394?\n\"Answer: 43*s**3 + s**2 - s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 + 2 = -2*o. Suppose 30 = -o*j - 0*j. Let u be 3\/j*4\/18. What is the third biggest value in u, 1\/3, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -381 - -880. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -2*j**2 + 606*j - 19221. Let f be z(36). Factor -3*d + 1\/4*d**f + 0 + 11\/4*d**2.\nAnswer: d*(d - 1)*(d + 12)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 81841956?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Divide 381625605 by 5.\nAnswer: 76325121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-24 - 0)*-4*(-5)\/(-40). Suppose 0 = 9*s - 13*s + j. Suppose -5*m + 350 = b - 6*b, -m - s*b = -54. Calculate the greatest common divisor of 99 and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/(-10)*(200\/(-16))\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 6*m**3 + 3*m**2. Let s(d) = -d**3 + 4*d**2 - 3*d + 9. Let i be s(4). Let j(w) = w**4 + 5*w**3 + 2*w**2. Let o(r) = i*j(r) + 2*a(r). Factor o(c).\nAnswer: -3*c**3*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = 4*l**3 - 25*l**2 - l + 6. Let h be o(8). Suppose -18*j - h = -5828. List the prime factors of j.\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 197955754 or -0.3?\nAnswer: 197955754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = 16131*z + 129056. Give l(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a millennium in decades?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Add together -45.4 and -1.1546.\nAnswer: -46.5546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 158960a (base 12) in base 6?\nAnswer: 234324014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 48792846?\nAnswer: 2, 3, 223, 36467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -23\/858 and 89\/5187.\nAnswer: 114114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -4.4717328 to zero decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -30 - (-110 - (32 - 54))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.88605 rounded to 0 dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26*d - 9*d - 13*d - 4*d - 4*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8532 + -66069195310.\nAnswer: -66069186778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1080 - 1081. Which is the closest to v? (a) 9 (b) -3 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -2*g**3 - 10*g**2 + 10*g - 16. Suppose -200 = 6*q - 164. Let z be s(q). Sort z, 3, 1, -1.\nAnswer: z, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001780027656 to 7 dps.\nAnswer: 0.00178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 1, z: 3, c: 2, d: 9, l: 2, x: 1}. Give prob of picking 2 z, 1 k, and 1 c.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 692 minutes after 8:26 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -5180975 by 25.\nAnswer: -207239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be 1166841\/(-21) + (-6)\/(-7). Round u to the nearest 1000.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(363) + -3 + -5)**2.\nAnswer: -704*sqrt(3) + 5872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -31740 + 63234. Is 231 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f**5\/8 - 857*f**4\/8 + 6909*f**3\/8 - 9535*f**2\/8 - 4325*f\/2 = 0. Calculate f.\nAnswer: -865, -1, 0, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kndd when four letters picked without replacement from {n: 1, c: 4, v: 2, d: 7, k: 2, y: 1}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 65\/3, -2\/19, 1.7343, -1\/7 in increasing order.\nAnswer: -1\/7, -2\/19, 1.7343, 65\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = -m - 5. Let i be r(-7). Let j = i - 0. Factor 0 + 2*t**2 + j*t**3 + 2\/3*t**4 + 2\/3*t.\nAnswer: 2*t*(t + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (8 + 51\/(-6))\/(2\/(-20)). Solve -7*x = -2*x - c for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 200*b**3 - 91*b.\nAnswer: 1200*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0\/((36\/4)\/3). Is 9 a factor of 0 - 0 - (t - (-5 + 53))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = 16*a + 15. Let o(z) = z + 13. Let w(v) = b(v) - o(v). Let k be 2\/1 + 0\/6. Determine w(k).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5384295507?\nAnswer: 3, 1794765169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(h) be the second derivative of -h**4\/12 + h**3\/3 - h**2\/2 - 3*h. Suppose f(o) = 0. Calculate o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -105265 - 3522?\nAnswer: -108787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -3\/7, 0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -121 = -11*s - 22 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is -2544 smaller than 56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 0.0380521 days?\nAnswer: 54.795024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -29649472 or -29649504?\nAnswer: -29649472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 0*d**3 - 3*d**3 + 2*d**3 + 2*d**4 - 2*d**2 - 1 + 4*d in the form a + u*d**3 + x*d**2 + t*d + k*d**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let 2*s**5\/15 + 1058*s**4\/15 - 438868*s**3\/15 + 1323728*s**2 + 818571264*s\/5 - 825043968\/5 = 0. Calculate s.\nAnswer: -812, -54, 1, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/y**13)\/y**(6\/11))\/(y**(3\/7)\/y*y)**(4\/5) assuming y is positive.\nAnswer: y**(-4962\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*y**3 - 45*y**2 + 102*y.\nAnswer: -3*y*(y - 2)*(y + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor 1\/6*t**3 + 8\/3*t - 4\/3*t**2 + 0.\nAnswer: t*(t - 4)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -43*l + 1196. What are the prime factors of b(-28)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(78)*5)\/(sqrt(42)\/sqrt(7)*2).\nAnswer: 15*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the second derivative of -s**4\/6 - s. Let p(k) = 4*k**2. Determine p(r(j)).\nAnswer: 16*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 13817040 and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3778 a factor of 121205796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -10 (base 4) to base 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) be the third derivative of b**7\/2 + b**5\/60 - b**3\/3 - b**2 + 19. Differentiate p(v) wrt v.\nAnswer: 420*v**3 + 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 253 + -446. Let z = -215 - w. What is the second biggest value in 0.4, -1, z?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17271?\nAnswer: 3, 19, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-448)\/(-320)*(-320)\/(-112)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-39)\/(-21) + -1 - (-5 + (-1600)\/(-266))?\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -5*g**2. Let n(o) = 13*o**2 - 712 - 10*o**2 + 712. What is n(a(t))?\nAnswer: 75*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 904, 894, 872, 832, 768?\nAnswer: 674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -5374 divided by 258?\nAnswer: -2687\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 + 4 = -5*d. Suppose -d*l = l - 39. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -439915113*a**4 - 260752105*a**2.\nAnswer: -10557962712*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -178 + 253. Suppose 4*k - s + 3 = 0. Determine w, given that 18*w**2 - k*w**3 + 2\/3 - 6*w = 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 135 a factor of 117990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -55 (base 9) in base 5?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -k**3\/2 + 732535*k**2\/2 - 67068431664*k - 2750421428352 = 0 for k.\nAnswer: -41, 366288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put 16, 60, -18, 1, 0, -10 in descending order.\nAnswer: 60, 16, 1, 0, -10, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -29*s**3 + 110*s**2 + 60466*s - 869210956?\nAnswer: -87*s**2 + 220*s + 60466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -31660.711 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.03 and 58149.\nAnswer: 1744.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 16*x - 57. Let i be g(6). Let u be 45*(i\/(-15) - 6\/(-2)). List the prime factors of 6\/u*1*-3*-96.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 295091382?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*w - 2016 = -31*w. What is the highest common divisor of w and 1092?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5129*b + 5213*b - 672 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -4 (b) -41187 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 609 + -422. Let t = 1214 - y. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 258*s - 44*s - 356 + 2496 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 + -21. Let d = j + 22.6. What is d rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -r**3 + r**2 + 15*r + 12. Give v(-5).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) -3 (b) 0.3 (c) 0.1 (d) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 626*i**2*k*q**2 + 960*i**2 + 2*i*k*q**2 + i*k*q - 436*i*k - i*q**2 - 2*q + 399 wrt i.\nAnswer: 1252*k*q**2 + 1920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -13*s**2 + 8*s - 15. Let z(w) = -24*w**2 + 15*w - 29. Let h(f) = 11*q(f) - 6*z(f). What is h(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 3*i = -29, -i = -4*t - 3*i + 14. Sort t, 2, -10 in decreasing order.\nAnswer: t, 2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -b - 84. Suppose -5*f = 74*m - 73*m + 179, -5*m - 249 = 6*f. Calculate a(f).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h + 26 = 36 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 402 - 406.99. Let x = s + -0.01. Which is smaller: -0.1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 115 divide 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -3445907, -6891811, -10337715, -13783619?\n\"Answer: -3445904*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19991995.\nAnswer: 5, 3998399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-274)\/(0 - 144\/201). Let n = r - 1132\/3. Let p = 1963 + -17627\/9. What is the common denominator of p and n?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zzfiizpffia. What is prob of picking 1 p, 2 f, and 1 a?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 420*q = 189*q + 206*q - 825 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the first derivative of 0*p - 3 - 1\/8*p**2 + 1\/16*p**4 - 1\/12*p**3 + 1\/20*p**5. Factor c(b).\nAnswer: b*(b - 1)*(b + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31 a factor of 180519045?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*w + 0*w - w)*(-1 + 2 + 1) - w + 2 - 2 - 1 + 1 - w + 0*w - 3*w + w + (-1 + 1 - 2*w)*(-3 + 5 - 1) + 392*w + 499*w - 317*w.\nAnswer: 566*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 755480\/(-18392) + 33 - (9\/36 + 33\/(-228))?\nAnswer: -90\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((8 - -7) + -7 - (3 - -1)) + 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -5.77 + -0.23. What is the nearest to 0.1 in 0.5, d, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-450)\/12*4\/(-5). Suppose 0 = -5*m + 2*w - r, 3*m + 2*m + 55 = -3*w. Which is smaller: m or -0.09?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 58\/5 - 42\/(-105). Let f = 11 - -25. Suppose -f + 19*r - 3*r**2 - 43*r - j = 0. What is r?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -110872, -218097, -325322, -432547?\nAnswer: -539772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = q + z, q = -z. Suppose 12 = -q*f + 2*f. What is the second derivative of -4*p - 10*p + 10*p - f*p**4 wrt p?\nAnswer: -72*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 57*c. Let q(b) = -6*b. Give q(y(i)).\nAnswer: -342*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-7)\/((0 - 4) + 3). Which is smaller: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -654047989\/6 and -109007997 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 277, 290, 303, 316, 329, 342?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be (292\/60 - 5) + (-2204306)\/(-195). What is the highest common divisor of 18 and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 200243387 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + 0 - 6)*(-p + 2*p + p) + 3*p + 3*p - 3*p - 4340 - 511*p + 4340.\nAnswer: -512*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q + 5. Let c be w(3). Let o be 1\/(0 - (-1)\/c). Suppose -2*h - 2*k + 10 = 0, o*h + 2*k - 9 = -k. Solve -4*t - u - 8 = 0, -u = -2*t - 2*u - h for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*p + 5*p + 1 = 0. Let u be p\/(80\/(-28) - -3). Solve -u*j + 3*j = 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 113*y**2 + 215*y**2 + 137*y**2 + 276*y**2.\nAnswer: 741*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(-15))\/((-15)\/15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -867*b**3*h*v + 26*b**3*v + 49599*b*v + 2*h*v - h + 3*v wrt b?\nAnswer: -5202*b*h*v + 156*b*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f = 4*q - 53 - 17, -3*q + 51 = -3*f. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-7)\/(-14))\/(15\/6)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 30032851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*b**4 - 54*b**3 - 33*b**2 + 3?\nAnswer: -48*b - 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = -1630*f**2 - 44*f + 2325. Let m(y) = 326*y**2 + 8*y - 465. Let p(w) = 2*l(w) + 11*m(w). Differentiate p(n) wrt n.\nAnswer: 652*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 1566, 1567, 1568, 1569?\n\"Answer: h + 1565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -5*u**3 - 28*u**2 - 57*u - 50. Let d(c) = -4*c**3 - 27*c**2 - 57*c - 52. Let k(h) = 6*d(h) - 5*o(h). Is k(32) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 12 = 5*p + 4*f, 5*p - 4 = -2*f + 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 684 + -681. Which is the second biggest value? (a) 0 (b) t (c) -4\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 95864, 95818, 95772, 95726, 95680?\n\"Answer: -46*q + 95910","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*b + 1 - 10 + 6)*(-3 + 1 + 1)*((0 + 1 + 1)*(b - b + b) + 3*b - 2*b + 3*b) as o*b + v*b**2 + n and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 450465415 divided by 5\nAnswer: 90093083","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1.1 + -1.9. Suppose 320*c - 3312 = 148*c - 196*c. Which is greater: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10864 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -0.1 (b) -4 (c) -4\/7 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 41605 by -8321.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -1, -3, 106 in increasing order.\nAnswer: -5, -3, -1, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*s*v**2 - 26*s*v - 1718242*s - 1398*v**2 + 3*v wrt v?\nAnswer: -4*s*v - 26*s - 2796*v + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u\/(u*u\/u**(-1\/3)))**44*(u*u*u**(-3)*u)\/u**(-3))**(-33))**(-37) assuming u is positive.\nAnswer: u**(-67969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*i + 2607 = -5*i. Let s(w) = -w**3 - 3*w**2 + 8*w + 8. Calculate the remainder when i is divided by s(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 23.1 (b) -4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s - 1 = -q + 3*s, -s = -2. Let z = 8 - q. Suppose 111 = -2*t + z*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*b + 3*b - 8*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l**3 + l - 1. Let k(d) = -23*d**3 - 6*d + 3. Let a(m) = 5*h(m) + k(m). What is the tens digit of a(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 90873781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -238\/97 or 0.9729?\nAnswer: -238\/97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3\/421 + -13009\/5894. What is the common denominator of u and 79\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 266653.\nAnswer: 97, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*l + 8042 - 3605 = -5483. Calculate the highest common divisor of 2624 and l.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 13? (a) -5 (b) -5\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1 equal to -2\/1977?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -2\/45, 5, -7 in descending order.\nAnswer: 5, -2\/45, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 363 less than 530916\/1463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k + k + 7 = -3*y, -2*y + 7 = -k. Suppose -g = 2*g - y. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*(2*sqrt(2450)*3 + -5 + -3))**2.\nAnswer: -13440*sqrt(2) + 353056","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 5 (b) -213 (c) 0.2 (d) -32\/43 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o - 1 - 8. Suppose 2*l + 2*l = 4*v + 132, 0 = -3*l - 4*v + 71. Let f = l + o. Is 10 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2295 minus 76.18724587?\nAnswer: 2218.81275413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2*1)\/((-10)\/(-35)). Let p = v + 9. Solve -r + p = -0*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = x**3 + 11*x**2 + 4. Give l(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 17764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 3 + 0)*(-2*j + 3*j - 2*j)*(-418*j**2 + 326*j**2 - 38*j + 38*j) in the form u + d*j + c*j**3 + w*j**2 and give c.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 15439379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k = 5 + 3. Let r = -10 + k. Which is the closest to 1\/3? (a) -4 (b) -3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 596 minutes before 10:51 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 242108519.\nAnswer: 3851, 62869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -144 (base 5) in base 12?\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Let l(m) = m**3 + 6*m**2 + 80*m + 297. Let b be l(-28). Round b to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 867 is divided by 43?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -706*u + 168073 = 865*u - 288*u for u.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -n**2\/2 - 146*n - 8091\/2.\nAnswer: -(n + 31)*(n + 261)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Are 2\/11 and 5815440 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 2, -31 in increasing order.\nAnswer: -31, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1240, 1794, 2360, 2938, 3528?\n\"Answer: 6*t**2 + 536*t + 698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 13245873 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 694 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*sqrt(2299)*-3*-3)**2.\nAnswer: 2979504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1.3, -0.3, -3\/3273632?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 2\/13 (b) 110 (c) -0.5 (d) -2576\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3 + -15. Let n = 15 + j. Suppose n*s - 3 = 12. Calculate the remainder when 12 is divided by s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-79)\/(-7) + (-8)\/28. Suppose 3*f - y = 2*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 5039928, 5039940, 5039952, 5039964?\n\"Answer: 12*q + 5039916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -132300 + 202112?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -20913009 minus 91159?\nAnswer: -21004168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 9527380.8 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = 68*f**2 + 53*f + 19. Let m(g) be the third derivative of 23*g**5\/60 + 3*g**4\/4 + g**3 + g**2. Let j(z) = 7*m(z) - 2*x(z). Factor j(b).\nAnswer: (5*b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -7*u - 49 - 1\/4*u**2.\nAnswer: -(u + 14)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -246 - -126. Let c be 90\/h*(-16)\/6. Suppose -5*u + c*u = -300. Does 10 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(8\/3)\/w**25*(w\/w**35)\/(w**38\/w) assuming w is positive.\nAnswer: w**(-280\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -289, -1214, -2777, -4978, -7817, -11294?\n\"Answer: -319*m**2 + 32*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -5*t + 14. Let l(w) be the second derivative of 0 + 0*w**2 + 1\/3*w**3 - 34*w. Determine l(u(y)).\nAnswer: -10*y + 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -20 + 0 + 39 + -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1524168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 1786 divided by 15\nAnswer: 1786\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2817.19 - 2804. Let x = o + -13. Let b = -0.19 + x. What is the second smallest value in b, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((24\/(-14))\/(748\/(-154)))\/3. Let t = -1 - 0. Which is the second biggest value? (a) k (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 - -2 - (-1)\/1. Let o = 49 + -47. Suppose -r*n + 38 = -n - 2*s, -43 = -o*n + 3*s. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 3, 86, 1, -1, 384 in ascending order.\nAnswer: -1, 0, 1, 3, 86, 384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 65 and 3822.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 3\/2, -0.083 in decreasing order.\nAnswer: 3\/2, -0.083, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -0.4, 1\/4, -152, -1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -28 minus 93984400.6782?\nAnswer: -93984428.6782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 94?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/(-3) - 338\/3. Let t be (6\/9)\/1 - w\/21. Suppose -27 = -t*m + 9. 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 cube root of 2030841623 to the nearest integer?\nAnswer: 1266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**3 + 41*f**2 + 420*f + 6. Let a be s(-21). Solve 3*n - 2*c + 1 + 3 = 0, -5*n - a = -4*c for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**3 - 20*y**2 + 18*y - 32. Determine s(19).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4.04 - 0.96. Let s = -0.14 - -0.1. What is the closest to s in p, 2\/5, 3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7161?\nAnswer: 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is (-5)\/70*12*-70 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j such that 12315*j**3 - 307885*j**2 + 295810*j - 240 = 0.\nAnswer: 2\/2463, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r**2 - 2*r - 2. Let y = 6 - 3. Let f(v) = -5 + v + 2 + y + 1. Calculate -4*f(o) - 2*s(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose t**2\/2 - 83587*t\/2 + 41793 = 0. What is t?\nAnswer: 1, 83586","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 2, z: 4, h: 8}. What is prob of sequence hzv?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -49 - -53. Solve -4*a + 0*a = -s for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (0\/2)\/1 + (39 - 17374\/442). Which is the closest to -52? (a) 1\/2 (b) x (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 5 - 22*(-4)\/8. Solve -4 - u = -5*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is l in -l**5\/6 - 4*l**4 + l**3\/3 + 8*l**2 - l\/6 - 4 = 0?\nAnswer: -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5.9 - -1.1. Let h = i - -5. Which is the biggest value? (a) 0.4 (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from klkllkk. Give prob of picking 1 l and 3 k.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve t + 4*u = -1, 8*u - 12*u - 2 - 2 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4 + -2. Suppose -3*i + t*i = -35. Let d(g) = 3*g - 4. Let o be d(6). What is the greatest common divisor of o and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 115 + -53. Let a = 106 - u. What is the highest common divisor of 11 and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) = -51355*v - 2413693. What is u(-47)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2.2 - -2. Let o = -5.1 - -2.9. Let p = o - -0.2. Which is the third smallest value? (a) p (b) g (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -43.77 + 0.77. Let t = x + 42.8. Let l = 15 - 14.8. Which is the closest to l? (a) -1\/3 (b) -4\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 268943174 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of (-4)\/6 + 8\/3 + 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 19*t**3 - 19 + 51 - 27 - 9*t - 7*t**3 - 6*t**2. Let q be c(-5). Round q to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w**4 + 11*w**4 + 13*w**4)*(-98*w + 49*w - 61*w).\nAnswer: -2530*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from uaaevaauhuauahu.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2988\/(-1743)*21\/(-135))\/(2\/(-5))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9463198769.\nAnswer: 83, 114014443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 289*j**2 + 1 - 43*j**2 - 293*j**2 - 346*j**2)*(-3*j + 0*j + 0*j).\nAnswer: 2913*j**3 - 9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 3767466 * -1.\nAnswer: -3767466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13190 - 11316. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9 and 180.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is ((2 - 2) + -1 - (19 + -7)) + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1845 + -702. List the prime factors of i\/3 - 1 - 6.\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-2*sqrt(336))\/((sqrt(63) - sqrt(2268)*3)\/sqrt(9)).\nAnswer: 32*sqrt(3)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3.7 - -4. Let z = 100 + -99.8. Which is the closest to 2\/3? (a) z (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 856.2238ml in litres?\nAnswer: 0.8562238","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 317.6846658 rounded to zero dps?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -68 + 76 - (1 - -21 - 1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 21*p - 23*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o + 13 = -y, o - 4*o - 21 = 3*y. Let q be 10\/o - (3 - 5). Is -1 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.3, -10\/9, 0.5?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -49655646 divided by -314?\nAnswer: 158139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = -24*n + 286. Let y be j(12). Which is the nearest to y? (a) -2 (b) 1\/4 (c) 3\/5 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3430 = -58*q - 4126 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*z + 27 = 24*z. Let l be 1\/(6\/(-9))*(3 - z). Let j(w) = w - l - w - 6*w + 8*w. What is j(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {p: 4, j: 1, r: 2, h: 1, n: 3}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z + n - 86 = -268, 4*n - 197 = -5*z. Calculate the remainder when 109 is divided by z.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 659172888 a multiple of 2228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -2*l**3 + 14*l**2 - l + 9. Let a be s(7). Suppose z + 3296 = a*x, -3*z = -3*x - 7*z + 4966. Let g = x - 1171. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.1 - 0. Let m = 92 - 140. Let r = m + 49. Which is the closest to h? (a) -1\/3 (b) r (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 18 = 2*x. Suppose 5*u - x = 4. Let w = 0.4529 - 0.0529. Which is the nearest to 1? (a) u (b) -0.1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 173 = 215*j + 1248. Sort 101, j, 2, -12 in descending order.\nAnswer: 101, 2, j, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 3*n + 11. Let d(b) = 2*b + 6. Suppose -2*s - 2*s = g - 16, -3*g + 21 = 3*s. Let h(p) = s*t(p) - 5*d(p). Give h(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.217801 and 1.4.\nAnswer: 0.3049214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1507491 and 473526?\nAnswer: 2997","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = y**2 - 1. Suppose 3*j - 16 = -4. Let g(o) = 2*o - 6. Let r be g(4). Let a(d) = -2 + 2 - r*d**2 + 1. Give j*c(u) + 3*a(u).\nAnswer: -2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -5, -1\/4, -0.06, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from ggmgggmggggmgg.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1367 + 40431. What are the prime factors of q?\nAnswer: 2, 20899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (((-756)\/(-216))\/((-7)\/18))\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 30784, 54790, 78796, 102802, 126808?\n\"Answer: 24006*w + 6778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) be the second derivative of -1\/2*t**4 - 1\/5*t**6 - 1\/4*t**3 - 1\/28*t**7 - 9\/20*t**5 + 0*t**2 + 0 - t. Let o(l) = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 446209.7ug in nanograms?\nAnswer: 446209700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 150769, 301537, 452305, 603073, 753841, 904609?\n\"Answer: 150768*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 divided by 5108.\nAnswer: -3\/2554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - u - 173 = 0, 5*i + 0*u = 2*u - 428. Let f = -32 - i. Calculate the greatest common divisor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 2, z: 3, e: 1, t: 7, w: 2, n: 3}. Give prob of sequence wezn.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 807314 is divided by 3214?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.15 in -2, 1\/30, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 7, 216.6, -2, 0.5, -30?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 30 divided by 313?\nAnswer: 30\/313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 3076, 12, -1\/3, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -2\/39 (b) -2\/9 (c) 3 (d) 1\/45 (e) 10\/9 (f) -1\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 68.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) be the third derivative of -6*h**2 - 1\/60*h**5 + 0 - 4\/3*h**3 + 11\/24*h**4 + 0*h. Does 9 divide u(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t = -3 + 4. Let o(x) = x**3 + 2*x**2 - x - 2. Let j be o(-2). Suppose j = 50*h - 47*h + 6. Put h, t, -6, -3 in decreasing order.\nAnswer: t, h, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:58 AM and 1:37 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = 48*k + 290. Let q be o(-6). Put q, 47, 1 in decreasing order.\nAnswer: 47, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p**2\/7 - 36*p\/7 + 80\/7 = 0. What is p?\nAnswer: 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + 2*sqrt(11) - 6*sqrt(176).\nAnswer: -22*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 3519033319 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3080975.\nAnswer: 5, 123239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1 + 1 + -2 + 0. Suppose -w + 5*w - 52 = n. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5 + 3*m + 5 - 13 + (1 - 3 + 1)*(-2*m + 1 - 1) - m - 2*m - m.\nAnswer: m - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) be the second derivative of -t**3\/6 - 3*t**2\/2 - 13*t. Let f be u(-6). Suppose 0*c + 3*c = f. Put -4, c, -7 in descending order.\nAnswer: c, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 16\/(-245)*(-535)\/856.\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 52597 is divided by 7507?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 64833 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a = 28 + -25. Suppose -a*f + 7*f - 5*r = 20400, -r = -3*f + 15300. Round f to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (sqrt(52) + -3 - (sqrt(13) + (sqrt(52)\/(sqrt(4)*2 + sqrt(4)) - sqrt(13)))).\nAnswer: 1 + 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 20*k + 58 = -8*k - k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(637) + -4 - -6*4*sqrt(637))**2.\nAnswer: -1456*sqrt(13) + 430628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/(-25)*5*10. Let d(l) = 14*l - 46. Let z be d(w). Solve 2*u = -c + 6*c - 15, -c - u = -z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 342*b**2 - 148*b**2 + 141*b**2.\nAnswer: 335*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*l - 48 = 3*l. Solve 4*k = k + l for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*y - 2*y - 18. Suppose 0*f + 4*p = -y*f - 52, f - 4*p = -12. Let h = f - -50. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes before 3:34 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jwjww. What is prob of sequence jj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c + 3. Let d be l(5). Let b be -3 + 0 - (-1 + d). Suppose w = -b*w + 223. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (9 - -3)*2\/(16\/(-6)). Let i(o) = -95*o - 49. Is 13 a factor of i(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 337 - 201. What is the highest common divisor of 72 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -140263.75714 + 139964.76. Let w = u + 299. Round w to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 5*i**2. Let k be (15\/10)\/((-3)\/(-4)). Let z be (4 + -4)*(-1)\/1. Let v(w) = 4*w - k*w + z*w. Determine v(d(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 5350357*3.9\nAnswer: 20866392.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -12320619 minus -5?\nAnswer: -12320614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -s**3*y + 90156*s**3 - 3*s**2*y**3 + 72*y**4 with respect to y.\nAnswer: -s**3 - 9*s**2*y**2 + 288*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 5 - (4 + -2) - 0. Find the second derivative of -5*k**i + 10*k - 19*k - k**3 + 11*k wrt k.\nAnswer: -36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 44172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 14029239 to the power of 1\/2, to the nearest integer?\nAnswer: 3746","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from giippciii?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.2756 + -47.7244. Let u = -637\/6 + 106. Sort 5\/2, u, w, 0.\nAnswer: w, u, 0, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.5 and -23183955.\nAnswer: -11591977.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 263650.\nAnswer: 2, 5, 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-161 - 105 - 11)*(3*q - 3*q + 2*q).\nAnswer: -554*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 53704 and 588?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -1100243 (base 7) to base 10\nAnswer: -134585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide (40\/6)\/(-2 - (-44)\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*t**3 - 12*t**2 + 90.\nAnswer: 6*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -999197\/135 equal to -7400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 68*(-45)\/(-1710)*133*(-2)\/14\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.05? (a) -0.1 (b) 5 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 49 - 50. Let j be -1 + g - 1912\/(12\/(-3)). Suppose q = 111 + j. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k = 48, 4*m - 5*k + 46 = -39 + 13 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 179 = 5*p + 3*v, 0 = v + 2. What is the remainder when 219 is divided by p?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 1604*h**2*j + 3*h**2 - 7*h*j + 2*h - 307220*j with respect to h.\nAnswer: 3208*h*j + 6*h - 7*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/3*4\/(-16). Suppose j + 12 = -j. Let r be 0 + 16\/j - -2. Which is the third smallest value? (a) f (b) 0.1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.317 - 0.104. Let q = -0.301 - z. Which is smaller: -5 or q?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 258, 489, 720, 951, 1182?\nAnswer: 1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = f - 2*j - 15, 5*j - 3*j = -5*f + 75. Let s(i) = 4*i + 1. Let b be s(1). Suppose -f = -4*c + 5, -x + b*c + 88 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.1 and 4390426.\nAnswer: -439042.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -22779.1 rounded to the nearest ten?\nAnswer: -22780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y = -74.5 - -30.2. Let p = -8748.6 - -8793.081. Let r = y + p. What is r rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1588515 is divided by 38743.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 47239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1089463 or 1089462?\nAnswer: 1089463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = f + 1. Let x be t(-4). Let u be 3 - (-1 + 2 + -1). Let i be (-2)\/u + (-56)\/(-66). What is the second smallest value in x, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -31253 (base 6) in base 7?\nAnswer: -15162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Add -3.3 and 340.3.\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/1*(-54)\/1080*670\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -346, -419, -564, -805, -1166?\nAnswer: -1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express -7 - 2*z**2 - 4*z**3 + 43 - 63 - 2*z + 10*z**3 as b*z**2 + m*z + n + c*z**3 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s = 15 + 6. Let b = s - 19. Suppose -3*q - b*c + 29 + 26 = 0, 5*q = 2*c + 113. What is the greatest common divisor of q and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 112 and 196272.\nAnswer: 1373904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(64)*2)\/(-1*sqrt(2)*6).\nAnswer: -5 - 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 98, -4, -3, -5, -23024, 2\/5 in ascending order.\nAnswer: -23024, -5, -4, -3, 2\/5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 3*n - 426 = -6*t, -3*t + n = -625. Let g = t - 158. What is the remainder when g is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -181 + a331?\nAnswer: a160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2? (a) 1\/2 (b) -4\/7 (c) 1 (d) 8\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 - 17 = -3*b. Calculate the smallest common multiple of b and 14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -3*s + 39. Give j(12).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 671304 divided by -3?\nAnswer: -223768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(j) be the first derivative of -j**3\/3 + 5*j**2\/2 - 3*j - 8. What is d(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 40 (base 6) to base 11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1.07 - -1. Let r = -2.93 + n. Let p = r - -7. Sort p, -3, -1.\nAnswer: -3, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1120302 (base 6) to base 3.\nAnswer: 2220101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.88 + 1.08. What is the biggest value in -9\/13, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 52 + 22. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 220272 and 114348.\nAnswer: 161459376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 4137541 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 2*h**2 + 23*h - 69. Let b be n(-18). Suppose b*z - 24 = 162*z. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 1.725 and -7.\nAnswer: -5.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = 2743*w - 850202. Give m(310).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Do 64739 and 64740 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 876597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**3 + 12*q**2 - 8*q - 101. Give w(7).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 - 7442?\nAnswer: -7445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*f = 9*f + 141. Let x = 46 + f. Are x and -1\/56 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*w + 2 - 2)*(2 - 3 + 2)*(3*w + w**3 - 3*w) to the form q*w**3 + o*w**4 + b*w**2 + y*w + h and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 108664 and 14?\nAnswer: 760648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-7*l + 2*l + 2*l)*(18 - 2 - 51) to c + a*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -3305 (base 7) in base 13?\nAnswer: -6cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*h + 9*h + 18 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2*z - 5*x, 7 = -2*z - 7*x - 17 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 35470529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate -339 divided by -6509.\nAnswer: 339\/6509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -b**3 + 7*b**2 - 3*b - 8. Let k be (-146)\/14 + (-6)\/(-14). Calculate the smallest common multiple of 1\/1*k\/(-2) and y(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3253056 is divided by 55?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/21? (a) 0 (b) 4 (c) 3 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -5 + (0 - (7 - (0 + 7)) - 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -13*c**2 + 5*c + 9. Let l(k) = -4*k**2 + 2*k + 3. Let f(y) = 2*i(y) - 7*l(y). Is 27 a factor of f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -459, -918, -1377, -1836, -2295?\n\"Answer: -459*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*j**4 - 14*j**4 - 3*j**4 + (2*j**4 - j**4 - 2*j**4)*(5 - 3 + 0) + 3*j**2 - 3*j**2 + j**4 to the form n*j**4 + p*j**2 + s*j + z*j**3 + r and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-88)\/1309)\/(76\/133)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 263 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2430 and 27270.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 18442 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 4*r. Let c be ((-2)\/(-4))\/(2\/84). Let l = c - 19. Let y(k) = -l*k**2 - 4*k**2 + 6*k**2 - 2*k**2. Determine y(b(t)).\nAnswer: -32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*sqrt(175)*-2)**2.\nAnswer: 17500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 420331047 minus 0.4?\nAnswer: 420331046.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -3233, -6446, -9659, -12872, -16085, -19298?\n\"Answer: -3213*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4297.202m in millimeters?\nAnswer: 4297202","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6890 + 6907. What is the fifth smallest value in 5, 0.4, k, -0.5, 0.3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*o - 3 = k, -4*k = k + 4*o + 15. Let i be ((-3)\/6)\/(k\/42). What is the second derivative of i*z**3 - 2*z**3 + 4*z**3 - 5*z + 2*z wrt z?\nAnswer: 54*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d = 6*d - 3*g - 463, 3*g + 6 = 0. Is d a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -5, 21.3, -0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 539*j - 543*j + 16 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 89950297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -4103*y - 5464. Determine w(-2).\nAnswer: 2742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 60*f = -2 + 62 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j = j - 4*x + 8, -5*x = -5*j - 10. Let a be 3 + (-14)\/(-6) + 5\/(-15). Put 4, j, -1, a in increasing order.\nAnswer: -1, j, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3 - 4)*(8 + (-365)\/45)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-8)\/(-44) - 14\/(-770). Which is the nearest to -1? (a) -1\/4 (b) o (c) -2\/13 (d) 0.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7956 is divided by 132.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d = -2*j - 25368, 9*j + 4 = 11*j. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/4 in -8, -2028, -2, -1\/6, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7928656 or 7928655?\nAnswer: 7928655","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be (9 + -11)\/((-1)\/5). Let i be 2\/(-1) - (-172 + q). What is the greatest common divisor of 32 and i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3, -0.342765, -193?\nAnswer: -0.342765","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is seven eighths of a hour in seconds?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 21 + -17. Suppose 0 = m - 3*z - 15, b*m + 2*z - 32 = -0*z. Calculate the least common multiple of m and (-14)\/(-21) - (-13)\/3.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 120 (base 3) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2728*g - 36079 wrt g.\nAnswer: -2728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -4*d + 43. Determine y(12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 43921 equal to 43923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/84)\/(55\/(-77)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Round 13.9367 to 0 dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -2, -860 in descending order.\nAnswer: -2, -3, -860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 77004 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1227633448?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 950*p + 2923 = 2*a + 1145*p, 3*a + 18 = p for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 6538793 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m - 5*o + 15, m - 4*o = -o - 8. Let g = -16 + m. Let s be -39*(g\/9 + 1). What is the highest common divisor of s and 130?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-5249)\/58 + 93)\/(10\/96)*6\/(-4).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -5*y**2 - 246*y + 1622. Calculate b(6).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -132*g + 133*g = -5*j + 16, -3 = -2*j + 3*g for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 348*j**2 + 175*j**2 + 2*j**2 - 2 + 8*j - 3*j.\nAnswer: 525*j**2 + 5*j - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:44 AM and 4:04 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 111774 divided by -6\nAnswer: -18629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13831 divided by 99.\nAnswer: 13831\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m**2\/9 - 1682*m\/3 - 6760 = 0. Calculate m.\nAnswer: -12, 2535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000314729779 rounded to four decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 556 and 20.\nAnswer: 2780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in thirteen eighths of a week?\nAnswer: 16380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:52 AM and 10:36 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 33 and ((-729)\/12)\/(8 - (-99)\/(-12)).\nAnswer: 2673","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + 20 = 6. Suppose -4*c = -3*w + 11, c + b = -2*w + 3. Let q = -147 + 738\/5. What is the second biggest value in 2\/7, q, c?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-102)\/(-12)*-4)\/(-2). Suppose 2*r + n*l - 1024 = 13*l, r = 3*l + 497. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 26569*k - 22310. What is g(1)?\nAnswer: 4259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 4*i = 2*i + 26, -5*q + i - 31 = 0. Let w be (-382)\/q + (-3)\/3. Let g = w - 2062\/33. Is -1 at least as big as g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = 7*k + 1039 - 1048 - 2*k. Let o(b) = -20*b + 26. Let l(q) = 7*q - 9. Let u(r) = -14*l(r) - 5*o(r). What is -4*f(w) + 9*u(w)?\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1466445?\nAnswer: 3, 5, 59, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let -4*f**5\/3 + 44*f**4\/9 + 28*f**3\/9 - 44*f**2\/9 - 16*f\/9 = 0. Calculate f.\nAnswer: -1, -1\/3, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 4*m**3 - 7*m**2 - 6. Let t(s) = 9*s**3 - 15*s**2 - 12. Give -13*b(a) + 6*t(a).\nAnswer: 2*a**3 + a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -6*q + 60. Calculate s(11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide -857112 by 852.\nAnswer: -1006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*a + 3*i + 3725, -6*a + 2235 = -9*a + 4*i. Calculate the common denominator of -16\/21 and (a\/(-30))\/(6\/(-6)).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the first derivative of 9*c**2 + 10*c - 31. What are the prime factors of l(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of a**2*r**3*v + 21*a**2*v**2 + 471*a*r**3*v + 2*a*r**2*v + a*r*v**3 - 2*r**3*v**3 wrt r?\nAnswer: 6*a**2*v + 2826*a*v - 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f**2\/3 - 19716*f - 96795552 = 0. Calculate f.\nAnswer: -23358, -6216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 82 - 169 - 38*c + 86 - 8*c.\nAnswer: -46*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -272, -275, -278, -281?\nAnswer: -284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 8033, 32188, 72425, 128738, 201121, 289568, 394073, 514630?\n\"Answer: -f**3 + 8047*f**2 + 21*f - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m when two letters picked without replacement from zpzppmpzzppm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -107\/322 and 38\/391?\nAnswer: 5474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 80 - (-32 - -21) - 51?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 162 + -2?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*l - 36 = 7*l. Suppose -9*t + l = -6*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-18)\/(-12) + ((-193)\/(-2) - -3) is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 5 - 1)*(f + 2*f + f)*(170 - 170 + 2*f**3 + 37*f).\nAnswer: -56*f**4 - 1036*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 763 - 1761 = 0. Suppose -7*a = -p + 64. Let d = a + 67. What are the prime factors of d?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 37589, -28 in decreasing order.\nAnswer: 37589, 2, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -u**3 + 55. Let z be n(0). Let t = z + 4. Suppose -4*w + t + 29 = 0. What are the prime factors of w?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-57)\/6)\/(2\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 78 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:31 PM and 2:35 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.03, -0.5, 2\/13, -58?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 216 + -89. Calculate the remainder when r is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = 5 - k**2 + 3 - 5 + 7*k. Let p(w) = -w**3 + 5*w**2 - 2*w - 2. Let q be p(2). What is the units digit of y(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 830551092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a - 3*m = -2322302, 0 = -4*a - 5*m + 547408 + 1774906. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) be the second derivative of -r**4\/6 - 13*r**3\/6 + 9*r**2 + 9754*r. Determine w(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 divided by -128\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -2*i**2 + 120*i + 139. What is the remainder when 455 is divided by s(61)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -g + 3*v + 33 = 0, 638*v - 36 = -4*g + 642*v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g be (1 + 0)\/(6\/96). Let t(a) = -a + 17. Let r be t(15). Solve -5*x - q = -17, 4*x + r*q - g = -0*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((3*(sqrt(75) + 0 + sqrt(75)) + sqrt(75))*3)**2 + (sqrt(432) - (0 + sqrt(432) + -4))*4)*3.\nAnswer: 99273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*sqrt(133)*1 - sqrt(133) - (sqrt(133) - 5*(sqrt(133) + 2*sqrt(133))))\/(sqrt(112)*4 - sqrt(7)*1*-3))**2*-2.\nAnswer: -512\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 155 minutes after 6:44 AM?\nAnswer: 9:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -792, -1589, -2412, -3273, -4184?\n\"Answer: -2*m**3 - m**2 - 780*m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -0.12*-741\nAnswer: 88.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 107508701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = 54 - 55.48. Let l = -2.48 - q. Which is the closest to l? (a) -5 (b) -1\/2 (c) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -641 - -645. Let i be (-15)\/(-6) - (-15)\/(t - 9). Sort -3, -0.6, 0.3, i in descending order.\nAnswer: 0.3, i, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 21 and 399.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2*-120650377.\nAnswer: 24130075.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 106*j + 3711. Determine l(-35).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = 18*h**3 - h**2 + 1. Suppose -n - 2*f = 2*f - 465, -1902 = -4*n - 2*f. Suppose -7*z + n = -132. Calculate the remainder when z is divided by y(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = 3*s - 4. Let v be o(-8). Let z(h) = -2*h**2 + 5*h - 1. Let b be z(-4). Let k = v - b. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 65608237?\nAnswer: 29, 2262353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 22 - 9. Solve -3*i + 1 = g for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -f**3 - 5*f**2 + 3*f - 3. Let u be j(-6). Suppose 2*b - u = 109. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((n\/(n*n**(2\/7)*n*n))**(-1\/5))**(-4\/5))**(-7) assuming n is positive.\nAnswer: n**(64\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000626648097 rounded to 7 dps?\nAnswer: -0.0006266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -15053, -15056, -15059, -15062?\n\"Answer: -3*c - 15050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = y + 8. Let j be f(6). Suppose 2*k + j = h - 3, -3*k = 3. Let t = -15289 + 15454. What is the greatest common divisor of h and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3506 - 0.001.\nAnswer: 3505.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -182\/9 or 0.2?\nAnswer: -182\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-1\/16))**49*v**35*v**(-8\/11)*v assuming v is positive.\nAnswer: v**(5669\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (34\/10 - 4)\/((-9765)\/3100)?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -111 (base 4) in base 13?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-9)\/(5 - 8))\/(3\/5). Suppose 186 = 4*i - 0*i + 3*f, -5*f = -g*i + 215. Calculate the least common multiple of 110 and (-1)\/3 + 1 + 690\/i.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 4*c - 4 = 0, -2*c = -4*c + 10. Suppose 5*l = a - 20, 0 = a + 3*a - j*l - 160. Calculate the highest common factor of 15 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -11, -0.03, -1\/4, -0.04?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5 - 1. Suppose -j*c - 6 = -26. Calculate the remainder when c is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16.17719 rounded to 2 dps?\nAnswer: -16.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y + 3*j = -8, 5*y - j = -4*j + 10. Let u = 28 - 24. Let m be -3 + (1 + 28 - u). Solve 5*f - 3*l + 21 = -6, -y*f + 4*l = m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 584?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) 3 (c) -179 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - (-16 + 13))*(-1 - (-10)\/14)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 403\/(-7905)*35 - ((-60)\/(-18) - 5)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 3 - 5 - -3 - -6 - 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -1\/5, -2, -2\/263, -8343, -4\/3, -5?\nAnswer: -2\/263","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.8 in 2\/7, -2\/119, 8?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 720186 or 13683520\/19?\nAnswer: 720186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -4758*n**5*p**2 - 2*n**3*p**3 + 16*n**2*p**3 + n**2*p**2 - 9*p**3 + 23*p**2 wrt n.\nAnswer: -285480*n**2*p**2 - 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000858 rounded to 7 dps?\nAnswer: 0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 27250.\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1 times 84?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.04, 0.4, 3\/13 in descending order.\nAnswer: 0.4, 3\/13, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**35*c**(-1\/4))**(-2\/21))**(-2\/33) assuming c is positive.\nAnswer: c**(139\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1 - -7) + (92 - 100).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 457262 to the nearest integer?\nAnswer: 676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -16846 (base 10) in base 3?\nAnswer: -212002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 81267 to the power of 1\/2, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 5858692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand 2 - 185*f**3 - 59*f**3 - 541*f**3 + 2*f**4 + (-10 - 5 + 6)*(3*f**4 - 2*f**4 - 3*f**4).\nAnswer: 20*f**4 - 785*f**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -57 (b) 4 (c) -2 (d) -0.09 (e) 0.2 (f) -341\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.05 and 32618.056.\nAnswer: 32618.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Put 561, -3, 3, 0, -70, -2 in ascending order.\nAnswer: -70, -3, -2, 0, 3, 561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*j**3 + 52*j**2 - 132*j - 180 = 0.\nAnswer: -15, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = s**3 - 6*s**2 - 21*s + 1. Let v(a) = a**3 - 7*a**2 - 21*a + 1. What is 5*c(n) - 4*v(n)?\nAnswer: n**3 - 2*n**2 - 21*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 4214.31kg in micrograms?\nAnswer: 4214310000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(n) = 3*n**2 - 11*n + 27. What is the hundreds digit of v(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4918, 6, 5, 101 in descending order.\nAnswer: 4918, 101, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes before 7:53 PM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2 * -44297\nAnswer: -88594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3030329 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out -5936 - 115193762968.\nAnswer: -115193768904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t = 4*t + 6*t. Solve -4*x - 2 + 10 = t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14970 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a**3 + 26*a**2 + 47*a + 41. Calculate the remainder when 2859 is divided by w(-24).\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2473863323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2254 + -1958. Calculate the greatest common factor of 19388 and m.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -4582, 17, -13, 23 in increasing order.\nAnswer: -4582, -13, 4, 17, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 13322*p**2 - 157*p - 36 wrt p.\nAnswer: 26644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = -i**2 + i + 1. Suppose 3*h = 2*w + 7, 0 = -4*w + 2*h - 5*h - 5. Determine m(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in n - 4*n**3 - 209*n + 202*n + 6*n.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 44111 (base 7) to base 11.\nAnswer: 8320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 10*p**3 + 16*p**2 + 39*p + 3. Let x(n) = -3*n**3 - 6*n**2 - 13*n - 1. Give 3*j(k) + 8*x(k).\nAnswer: 6*k**3 + 13*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2014 divided by 2.\nAnswer: -1007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 84636015?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 662\/28077 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 559450 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 224 divide 86044896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2020710 and 202071.\nAnswer: 2020710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(85)\/(sqrt(55)\/sqrt(11)) + ((sqrt(1377)*6 - sqrt(17))**2 - sqrt(17)).\nAnswer: 47753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 358*u**3*y**3 + 35*u**3*y - 5*u**2 - u + 1099*y**3 wrt u.\nAnswer: 2148*y**3 + 210*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 32 and 56.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 59667*w**3 - 6*w**2 - 3*w + 13.\nAnswer: 358002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d + 2*d + 33. Suppose -2*w = 3*w + 3*l - 38, 2*w - 16 = -2*l. Calculate the lowest common multiple of w and d.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/25 of a milligram in micrograms?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1 + -101010010000110011?\nAnswer: -101010010000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3 + 1)*-2*((-31692)\/576 - -55).\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 5*s**2 - 4*s - 5. Let o = 13 + -9. Let v(c) = -c - 1. Let d(j) = o*v(j) - a(j). What is the first derivative of d(r) wrt r?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -100 - -367?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify q\/((q**(-18)*q)\/q*q)*q**(-14)*q**9\/(q\/q**(-8\/11)) assuming q is positive.\nAnswer: q**(124\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = a**3 - 5*a**2 - 17*a - 1. Let c be h(9). Let g = 287 - c. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 18 + -55. Calculate the remainder when (b\/4)\/(3\/(-12)) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.04 - 0.31. Let l = -0.16 + j. Let y = l + 0.4. Round y to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -1762763?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 209 + (-25 - (27 - -57)).\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = -6*d**2 + 7. Let v(j) = -3*j**2 + 3. Give -13*v(k) + 6*y(k).\nAnswer: 3*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 6*u**4 + 5*u**3 + 3*u. Let x(l) = 7*l**4 + 4*l**3 + 4*l. Let s(r) = -4*t(r) + 5*x(r). Find the second derivative of s(c) wrt c.\nAnswer: 132*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 8543\/2 - 4272. Are 3\/614 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1516 is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v**(7\/3)\/v)\/((v\/v**(4\/7))\/v) assuming v is positive.\nAnswer: v**(61\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hu when two letters picked without replacement from uonhuooo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = -r + 21. Let p be 2 - ((-4)\/(-2) - 1). Suppose 4*z - 12 = -4. Sort z, p, r in descending order.\nAnswer: z, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 68\/9 of a day?\nAnswer: 10880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-4 + 1 + 6)*1. Is t - (4 + 0) - -361 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the third derivative of x**6\/30 + x**5\/5 - 47*x**4\/2 - 286*x**3\/3 + 152*x**2 - 2. Find f such that q(f) = 0.\nAnswer: -13, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = 3*a - 2. Let g(n) = 7*n - 295. Give -g(l) + 3*z(l).\nAnswer: 2*l + 289","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*j = 132386 - 132404, 5*j - 6*j - 3 = 3*h + 4*j - 0*j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 8730, 8737, 8758, 8799, 8866?\n\"Answer: z**3 + z**2 - 3*z + 8731","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 11 - 7. Suppose -1585 = -52*j + 495. Calculate the least common multiple of p and j.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -12*c**2*r**4 - 3566*c**2*r**3 + 67*c**2*r - 442*c*r**2 wrt r?\nAnswer: -288*c**2*r - 21396*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 56798?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the second derivative of -u**3\/6 - 9*u**2\/2 - 5*u. Let r be v(5). Let n = 12 - r. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 301, 594, 889, 1186?\nAnswer: 1485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -p**2 - 3*p + 3. What is the least common multiple of i(-3) and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(-22) - (-5 + (-57)\/(-11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*h + 105 + 136 = -179 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 53, 219, 495, 881?\n\"Answer: 55*v**2 + v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9111989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2952 and 165968.\nAnswer: 1493712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 15170 and 50840.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = 37\/58 - 4\/29. Which is the nearest to -19? (a) f (b) 0.1 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3454249 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 10 = 6. Let f(t) = z - 2 - 11*t + 1 - 2. Let q = -3 - -2. Give f(q).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -3*p + 26. Let r be x(6). Let q(c) = -19*c**2 - 1. Let j(m) = -56*m**2 - 3. Let a(y) = r*q(y) - 3*j(y). What is the derivative of a(g) wrt g?\nAnswer: 32*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 h when two letters picked without replacement from hvmmhmmmmmmimhm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -2, 107.97, -3, -2\/15, -93?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -48, -39, -30, -21, -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) = 2*w**2 + 7*w + 3. Let d(h) = 1016*h + 3037. Let s be d(-3). What is n(s)?\nAnswer: 168","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 6235, 49882, 168303, 398866, 778939, 1345890, 2137087, 3189898?\n\"Answer: 6228*x**3 + 19*x**2 - 6*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bj when two letters picked without replacement from {f: 4, b: 4, m: 1, j: 1}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-15)\/(2 - 1)*1. Let v(i) = 14*i**3 - 4*i + 34 - 15*i**3 - 26 - 14*i**2. Is v(s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: dc (base 15) to base 12\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 51\/4 of a kilometer?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2.93 - 0.07. Let f = -16.3 - -15. Let a = f - -0.3. What is the nearest to a in 4, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 517 + -517.00007648. Round g to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y + 2*f - 8 = 6, -4*f = -4*y + 28 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2 - 2)*(4*y + 3 + 2 - 2*y)*((-1673 + 73*y**2 + 1673)*(1 - 2 - 1) + 0*y - y**2 + 0*y).\nAnswer: 294*y**3 + 735*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 890001296?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 127373758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = n**2 - 5*n - 3. Let u be f(9). Let l = u - 18. Suppose 3*i = -2*i - l, -2*i - 12 = -3*t. Solve k - 2*b = -14, 30 = -4*k - k + t*b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 59885 and 31465?\nAnswer: 1015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -246150 divided by 41025?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 262714.\nAnswer: 2, 131357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 195.3 + -204. Let x = j + 8.6. Which is greater: x or -11.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 6a7 + -915?\nAnswer: -26e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p - 362 = -2*d, 0 = -2*p - 3*p - 2*d + 602. Let q = -16 - -57. What is the remainder when p is divided by q?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5194 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 548900189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m be (46\/4)\/((-6)\/(-12)). Suppose m + 1 = 4*j. What is the second derivative of x - 6*x + 2*x**4 - j*x**4 + x**4 wrt x?\nAnswer: -36*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k + 0 + 0)*(1 + 1 - 3)*(-977 + 491 - 765).\nAnswer: 2502*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 26*a**2 - 65*a + 30*a**2 + 65*a as g*a + m*a**2 + w and give m.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 35846.694 rounded to 0 dps?\nAnswer: 35847","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 71 + p - 71. Let g(r) be the third derivative of r**5\/4 + r**4\/12 + 46*r**2. Determine m(g(b)).\nAnswer: 15*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -1558*x + 7972. What is the remainder when 885 is divided by y(5)?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrtxljxjd. What is prob of picking 2 r?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:46 AM and 7:02 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 178065 divided by -11871.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: ((6\/105)\/(26*55\/321750))\/(4\/(-14))\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 68 = 5*p + 58. Solve 0 = -p*r - 1 - 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 42208000 to the nearest 100000.\nAnswer: 42200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m\/m**(-1)*m\/m**5)\/(((m*m\/m**(1\/17))\/m)\/m**(3\/2)))**(9\/5))**25 assuming m is positive.\nAnswer: m**(-2205\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y = -141 - -146. Suppose y*x = 10 - 0. Suppose -2*v - 4 = 2*i, -x*i + 3 + 3 = -3*v. Solve -5*s - z + 6 = i, -s - 9*z + 4*z + 6 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20534 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -353*u = -278*u - 192*u - 1521 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -16*j**3 + 84*j**2 + 6*j + 2. Let y(m) = 46*m**3 - 252*m**2 - 17*m - 6. Give -6*y(h) - 17*z(h).\nAnswer: -4*h**3 + 84*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 98 equal to 58429?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (sqrt(75) + -5 - -2*sqrt(3)*-1)**2 + -1)*-6.\nAnswer: -300 + 180*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 1 - 2 + (4 + 1 - 3)*(3 - 3 - 9) + 3 - 1 + 3)*(2*k**4 - 3*k**3 + 3*k**3).\nAnswer: -36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u. Let c be (-1)\/(2 + (-3)\/3). Let n be 13\/6 + c\/6. Let l(x) = -n*x - x + x. Calculate b(l(i)).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3912969?\nAnswer: 3, 271, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 3*f**2 + f - 3. Let o(y) = 6*y**2 + y - 5. Let l(z) = -3*o(z) + 5*p(z). Let n(g) = 7*g**2 - 4*g. Determine -5*l(m) - 2*n(m).\nAnswer: m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*q**2 + 13*q**2 - 8*q**2 - 8*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*b - 12 = -4*d, 3*b + 4*d + 12 = 6*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 2*l = 1135, 78 = 4*t + 3*l - 1437. Suppose -3*z - 4*v = -z - 360, 2*z + v = t. What are the prime factors of z?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) = 273*v**2 - 12548*v + 42. Determine o(46).\nAnswer: 502","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 157 divide 1413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f = 63 + -52. Solve 4*b + 5 = -f for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/1*-4)\/(27\/189).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6 - 1 - 4)*(-30*y - 183*y - 233*y) to k + z*y and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (18*r**4 - r**3 - 3342 + 34*r**4 + 3453)*(4 + 5 - 6) as t*r**2 + q*r**3 + p*r**4 + l*r + s and give p.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y and 2 e when four letters picked without replacement from eyeyyyyy?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = 240 + -159. What is the highest common factor of q and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((j\/(j*j**(2\/25)))\/j**5)**(5\/7))**(-6) assuming j is positive.\nAnswer: j**(762\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 147*d - 143*d - 84 = 0. Suppose 66*u - 683 + 221 = 0. What is the highest common factor of u and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 60 + 28 = 4*w. What is the least common multiple of (1\/(-3))\/((-8)\/48) and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 692.8433 litres?\nAnswer: 692843.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 18 and 8577.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 360 minutes before 4:45 AM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 76381067*r + 95839138?\nAnswer: 76381067","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 2.321964 meters in nanometers?\nAnswer: 2321964000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) be the first derivative of 4*i**3\/3 + 2*i**2 + 3*i + 15. Let p be o(-2). Let r be (-66)\/4*20\/(-6). Calculate the greatest common divisor of p and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) be the first derivative of -x**5\/100 - x**4\/60 + x**3\/30 + x**2\/10 - 3*x + 4. Let d(p) be the first derivative of c(p). Factor d(m).\nAnswer: -(m - 1)*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -9 - i + 10 + 3*i. Calculate o(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -u**2 + 4*u + 53. Let k be r(10). Let b(q) be the third derivative of q**4\/24 - q**3\/6 + q**2. Let p be b(-6). Are k and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) = q**3 - 8*q + 14. What is the units digit of l(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*c - c + 4, 4*v = c - 9. Let r be (-4)\/((-6)\/(9\/3)). Put 5, r, v in ascending order.\nAnswer: v, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the first derivative of -2*i**3\/3 + 11*i + 10. Let l(s) be the first derivative of d(s). Let f(j) = -4*j. Calculate l(f(y)).\nAnswer: 16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 219, -1, -3, 40019 in decreasing order.\nAnswer: 40019, 219, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2571502047 - -0.61.\nAnswer: 2571502047.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1630 and 2805310?\nAnswer: 457265530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 612 and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 7540*m**5*w + m**4*w + 2401*m**3 + 266*m**2*w + 679*m**2 - 10*m + 12*w wrt m?\nAnswer: 452400*m**2*w + 24*m*w + 14406","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -232164437, -232164440, -232164443, -232164446?\n\"Answer: -3*s - 232164434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -72*h**3 + 16*h**3 + 31*h**3.\nAnswer: -25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -2 - 17d1b?\nAnswer: -17d1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-84)\/(-48)*((10 - 1) + -1). Calculate the highest common divisor of y and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z - 15. Let q = -335 + 319. Determine r(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.066008 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is (-14)\/(7\/(-97377)*(-12)\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -43*k*u**2 + 785*u**2 wrt k?\nAnswer: -43*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-3)\/(-5) + (-30)\/50. Solve 5 = -c*q + 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 368*c - 2526 = 418 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j + 0*j - 2*u - 4 = 0, -6*j - 2*u = 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58172 is divided by 1236?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:44 PM and 2:03 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, -5, -3, -1 in decreasing order.\nAnswer: 12, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0133732336 to four dps.\nAnswer: -0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 172 a factor of 41658991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 37 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-3342)\/(-370) - 9)\/(32\/(-95163330)). Let t = y - -96449. Find the common denominator of -137\/6 and t.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1082872 and 25718210.\nAnswer: 102872840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -y**3 + 10*y**2 + 7*y - 8. Let l = 140 + -135. Suppose -l*u + 15 = -10. What is the tens digit of q(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0 - 686.\nAnswer: -686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the first derivative of s**2\/2 - 10*s - 592. Let u(z) = z - 10. Give -5*r(a) + 4*u(a).\nAnswer: -a + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*l + 2*r = -9, 65*l = 60*l + 2*r - 31 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-79)\/7 - 4\/(-14). Let w be ((-3)\/x)\/(3\/(-2)). Let i = -6 + 3. Which is the second smallest value? (a) w (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 912803168?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w**3 + 204*w**2 + 437*w + 6583. Calculate m(-202).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 23 a factor of 396313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 12 = -2*x. Let o(h) = -4*h + 7. Let l(c) = 8 - 8 + 9*c - 15. Suppose -4*r - 46 = 6. Give r*o(b) + x*l(b).\nAnswer: -2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 90\/11 (b) -3 (c) -0.4635 (d) -5 (e) 0 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 5287 a factor of 498058285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((t*t*t*t*t**(-5))\/t)\/(t\/t**(1\/6)*t))\/(t**(-1))**(-42))**(-16\/5) assuming t is positive.\nAnswer: t**(440\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 235715 (base 8) to base 4\nAnswer: 103233031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2533\/36 - -640\/9. Let a(c) be the third derivative of -8*c**2 - n*c**4 + 0 + 0*c**3 - 13\/60*c**5 + 0*c. Find the second derivative of a(p) wrt p.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {s: 1, h: 13, t: 2, v: 1}. Give prob of sequence svh.\nAnswer: 13\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 7150396 and 68?\nAnswer: 121556732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 times 2875.187?\nAnswer: -575.0374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = 2*w - 148089, -63*w + 148110 = -61*w - 4*v. What are the prime factors of w?\nAnswer: 3, 24683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 22 = -54. What is the smallest common multiple of 26 and (96\/20)\/(o\/(-20))?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -67*v - 1202 = -733 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-4)\/18 - ((-58)\/(-9))\/(-2). Let v(d) = -90*d - 3. Let b be v(-3). Suppose k*f - 5*n - b = -f, -3*f = 5*n - 244. Is 10 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 10 - 19. Let x be (-22)\/6 + (-2)\/(-3). Which is greater: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -261c + -33?\nAnswer: -2652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 28.4 - 41.756. What is l rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose a**5\/6 + 7*a**4\/6 + 19*a**3\/6 + 25*a**2\/6 + 8*a\/3 + 2\/3 = 0. What is a?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 46527014257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yd when two letters picked without replacement from {y: 3, e: 1, d: 1}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 0 + 27 - (11 + 2640\/(-110)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c - 4*c + 10 = 4*z, -4*c - 2 = -3*z. Let r(l) = -26*l**3 + l. Determine r(c).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 669 minutes before 6:57 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7 - -16. Calculate the greatest common divisor of 36 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -16*o - 10 + 9*o**2 - o**3 + 9*o + 6*o. Suppose -2*t = -n - 5*t + 15, 4*t = n + 6. What is the tens digit of z(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(14)\/(sqrt(2)*-1) + sqrt(343)*-1.\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h be (14\/(-9) + 2)*1. Suppose 4*a + t - 130 = 0, 0 = -0*t - 4*t + 8. Let d = 31 - a. Is h at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1449435 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:17 PM and 7:46 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 4438 <= 4443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9 - (-4 + 0) - (-68 + 59).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -9*w - 24. Does 42 divide b(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -0.5 (b) 1.6 (c) -48 (d) 1\/6 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g = 12, -4*g - 323 = -3*x - 305 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-605)\/22*8\/(-10). Suppose -2*h = -f - 32. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -5944, -5934, -5938, -5962, -6012?\n\"Answer: -i**3 - i**2 + 20*i - 5962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((-3)\/24*2)\/((1479\/(-6902))\/((-246)\/(-7)))\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 0 - 1 - 1 - 2*v + 4*v**2. Let j(q) = 7*q**2 - 4*q - 3. Calculate 5*h(i) - 3*j(i).\nAnswer: -i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -15*p**2 + 742*p - 49. What is g(50)?\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - 7*b + 110 = 0. What is the highest common divisor of b and 616?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2\/112)\/((-24)\/(-231)*(-2178)\/396).\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*o**3 + 1838*o**2 + 35*o + 67.\nAnswer: -12*o + 3676","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 81 is divided by 19.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 646 minutes before 9:59 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -90 and -0.735?\nAnswer: 89.265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*a**3\/2 - 4107*a**2\/2 + 8232*a - 8238.\nAnswer: -3*(a - 2)**2*(a + 1373)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -31*k**2 - 219*k - 10. Calculate the lowest common multiple of 11 + 2 - (2 - 0) and x(-7).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7565?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**3 - 7*x**2 - 7*x - 52. Give l(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m = -44 - -107. Let o = 22 + -20. Suppose -r + 2*n = o*r - 31, -2*r + n = -20. What is the highest common divisor of r and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 8 by 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 165824069 - 165824069 - 22*v**2 + 25*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = i**3 - 41*i**2 - 37*i - 1. Give g(42).\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tz when two letters picked without replacement from {z: 1, y: 5, t: 6, j: 2, m: 5}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jxvhdzx. Give prob of picking 1 z and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = 63*x**2 - 3*x. Let l(b) = -64*b**2 + 4*b. Let u be (-17)\/4 + (45\/(-12) - -4). Let c(o) = u*s(o) - 3*l(o). Let z(a) = 2*a. Give c(z(d)).\nAnswer: -240*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u - 104 - 71. Let o = u + 3. Does 14 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4324706362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 225 and 16335?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -5*(sqrt(117)\/(-2*sqrt(9)) + -5) + -4.\nAnswer: 5*sqrt(13)\/2 + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 64, 323, 574, 823, 1076, 1339, 1618, 1919?\nAnswer: 2248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l, 2 u, and 1 d when four letters picked without replacement from {u: 4, a: 1, d: 2, l: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.6022 + 0.1022. Which is the second smallest value? (a) -1.8 (b) 0.05 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:47 AM and 4:57 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -135 - -292. Let v = -322 + t. Let a be -2 - v\/117 - (-32)\/48. Sort -2\/5, 1\/4, -1\/3, a in decreasing order.\nAnswer: 1\/4, a, -1\/3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 8 + -5. Let k = 5 - c. Let t(a) = -a**2 + a. Let j be t(k). Which is greater: 3 or j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*q - 57*q**2 + 144 + 74 - 1076 - 248 wrt q?\nAnswer: -114*q + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3 in 174, -4\/9, -2\/5, 36?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 1.6 and -0.08?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(25) + -2*sqrt(25))\/sqrt(5) + -1.\nAnswer: -sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 7, 19, 31, 43?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 12 a factor of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 0.7 equal to -269139.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3 - 91) + (0 - -7) + (8 - 39 - -16).\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -c + 10. Let t be z(10). Suppose -5*i + 6*i + 1 = t. What is the units digit of 4 - 4 - 17\/i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4620 - 2654. List the prime factors of n.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6 - -10. Suppose 2*j - 6 - 27 = o, 0 = -d*j - 4*o + 84. Let u(q) = -9*q. Let x be u(-3). What is the greatest common factor of j and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -346, -693, -1040, -1387, -1734, -2081?\nAnswer: -2428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 10 and 25026?\nAnswer: 125130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -172*h + 2378*h = 81358 + 24530 for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*a - 3*a - 75. Let l be 0 - 0 - (-6)\/a. Suppose -d + 3 = -g, -2*d + 2*g + 7 = -d. Sort 0, l, d in increasing order.\nAnswer: d, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**2 - i + 7. Let u be p(0). Let h(l) = -l**2 + 7*l + 2. Let x be h(u). What is the highest common factor of 14 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 3902345550.69999911 + -3902345568. Let r = 17.3 + q. Round r to seven decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 9513988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1 - 1. Suppose r = -2*y + 5 + 19. Suppose -3*u + y = -21. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-32776)\/16870)\/((-2)\/(-7)))\/(10\/75)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -p**2 + 501*p - 3941. Give i(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -245*d**3 + 12*d + 3*d + 363*d**3.\nAnswer: 118*d**3 + 15*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1044\/1160*110\/(-792).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from llalyulyllalllyaal. Give prob of sequence yy.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12\/8*(0 + 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4 + 633*z + 171*z + 40*z - z**2.\nAnswer: -z**2 + 844*z - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 47 - 46. Suppose -8 = d - 3*d. Which is greater: s or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 113 a factor of 44087616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.06? (a) -9 (b) -3 (c) -30 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/11? (a) 2 (b) -0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: -1121301313 (base 4) to base 11\nAnswer: -231315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = -j**3 - 28*j**2 - 195*j - 34. Determine r(-11).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -51, -68, -87, -108?\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the first derivative of 3*g**4\/4 + 7*g**3 + 21*g**2\/2 - 45*g + 139. Let b(q) = 0. What is q?\nAnswer: -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 318431 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -7 - (-49 + 14 + 6)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -k**2 - 15*k - 30. Let c be p(-18). Let v be (-14)\/6*96\/c. Determine u so that -v*u + 0 + 8\/3*u**2 + 2*u**3 + 2\/3*u**5 - 8\/3*u**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 12180717 divided by 9\nAnswer: 1353413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 19589 at least as big as 19655?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in 6, -3, 0.2, 648?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand -22 + 22 + 11*q - 2*q - 2*q + 7*q + (0*q + q - 3*q)*(4 + 0 - 3) + q - q - 2*q.\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = 11.22 - 20.22. Sort -1, -1\/2, u, 0 in ascending order.\nAnswer: u, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32*v - 2602 - 11*v + 2602 + 19*v.\nAnswer: -24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -955*f**2 - 19*f + 956*f**2 - 3 + 4 - 2 as y*f**2 + n*f + j and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find c, given that 2*c**3\/5 - 28*c**2\/5 - 62*c\/5 - 32\/5 = 0.\nAnswer: -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 975 is divided by 875.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -403 = -14*j - 17*j. Let g be 7\/35 - 1\/5. List the prime factors of (-1 - g)*-22 - 0\/j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l + 4*a - 9*a + 25, -5*l = 2*a - 10. Suppose l = -2*t + 15 - 3. What is the lowest common multiple of 10 and t?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.06742 take away -1316?\nAnswer: 1316.06742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 386284 is divided by 503?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 55 + -46 + (12 + -18 - -20)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (b**2 - 3*b**2 + 0*b**2)*(73 + 4*b**2 - 73).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u = 2*c + 18, -38*u = -39*u - 2*c. Let t be 2\/(-3) - 24\/(-9). Let m be 32\/2 - (-4)\/t. Calculate the highest common factor of m and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2527 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 751 - 546367?\nAnswer: -545616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r = 127 - 84. Calculate the remainder when 4772\/28 + 21\/(-49) is divided by r.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (10\/12)\/(10\/(-15))*-172. Suppose d = -8*v - 249. Let h = 63 - v. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + q - 8 = -n, 0 = 5*n + 4*q + 2. Let p = n + 3. Suppose -5*f + 50 = 5*h, -p*f + 45 = -3*f - 3*h. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) be the third derivative of k**6\/120 - k**5\/12 - k**4\/4 + 10*k**3\/3 - 23*k**2 + 2*k. Calculate the remainder when w(7) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 2*n**3 - 4*n**2 + 3*n - 2. Let b be y(2). Let d be ((-165)\/2)\/(b\/8). Let c = d + 242. What is the greatest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence pl when two letters picked without replacement from {x: 6, l: 3, p: 1, u: 2}?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) be the third derivative of 1\/10*t**5 + 9*t**2 + 0 - 2\/3*t**3 - 1\/6*t**4 + 1\/120*t**6 + 0*t. What are the prime factors of v(-5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(0 + sqrt(44)\/sqrt(4) - sqrt(77)\/sqrt(63)) + 4)**2.\nAnswer: 32*sqrt(11)\/3 + 320\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 36, 61, 70, 57, 16, -59?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -10a788 (base 14) to base 11\nAnswer: -3578a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -2*k**3 + 2*k**2 + 2*k - 1. Suppose -11*n + 30*n = -27664. What is the remainder when (2\/8)\/((-4)\/n) is divided by z(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -237219*r**4 - 2318*r**2 - 10?\nAnswer: -5693256*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 91725 is divided by 101.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 24*m**2 - 4*m + 4. Let t(i) = -23*i**2 + 3*i - 3. Determine 3*p(c) + 4*t(c).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: ((-1464)\/(-244))\/((-2)\/(-3))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = -f**2 - f - 17. Let d be v(6). Let y = -72 - d. Let z = -10 + 16. Let w(x) = 3*x**2 + 2*x + 4. Let n(k) = 7*k**2 + 4*k + 9. Give y*w(l) + z*n(l).\nAnswer: 3*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) be the first derivative of 2*y**2 + 9. Let i(h) = -h. Calculate m(i(f)).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 10 + -5 + 23 + -15\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 22*s + 7 - 22*s + 9*s**3 wrt s?\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, k: 4, y: 1, m: 2}. Give prob of picking 2 m.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 1\/5 of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1674 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many millimeters are there in 13\/5 of a meter?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 + 3. Suppose 2 = -z - 3*t, d = 4*t - 1. What are the prime factors of (-102)\/(-10) + 1\/z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -444 - 12*p**3 + 444.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 2*d = 199027, 7*h = 5*h + 2*d + 398036. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 37.68 and 11.\nAnswer: 414.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 942351 is divided by 4133.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -35 + 7 + (-19 + 16 - -7).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = 2*f - 174, -5*f = -5*h + 141 - 606. Let i = f + -96. Is -1\/414 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1821816911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1136204*t + 692542.\nAnswer: -1136204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express z**3 + 0*z**4 - 3*z - 3*z**3 - z - 2*z**4 as m + o*z + h*z**2 + d*z**4 + u*z**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -818185 - -139910375\/171. Let h = z + -78\/19. Which is greater: h or -7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w**(-2\/9)*w*w)\/w*w)\/(w*w**6)*w*w\/w**(-6)*w**(2\/21)\/w)**38 assuming w is positive.\nAnswer: w**(4484\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (-9 - -3)*1\/3*(-6)\/(-32)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 4703249487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 28*z - 18*z - 8*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -101 - -171. Let f be -2 - (-13 + 2)*12\/6. Suppose 0 = -a + m + f, 16*m - 21*m = 3*a - 92. Calculate the remainder when d is divided by a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5 + 2. Let i = -3.72 + 3.82. Which is the second smallest value? (a) u (b) -0.5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -102 + 32212031323?\nAnswer: 32212031221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*h**2 - 2*h**2 - 3*h**2 - 5*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is next in 42, 64, 104, 168, 262?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2251, -1, 1, 0.6 in decreasing order.\nAnswer: 1, 0.6, 0.2251, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -9*u**2 + 4*u - 5. Let h(s) = -10*s**2 + 3*s - 4. Let l(z) = -4*h(z) + 3*y(z). Give l(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11101001100010 (base 2) in base 14?\nAnswer: -5638","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 8) in base 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = 5*i**2 + 1689*i + 8362. Give f(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 3 x when four letters picked without replacement from ixxxmix.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -21*j**2. Let i(o) = o**2 - 68988*o + 2. Determine i(n(g)).\nAnswer: 441*g**4 + 1448748*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -796*w + 796*w + 5*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 372 is divided by 48?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o - 10 = 10. Let g = -4 + 128. Let u = g + -124. Solve 0 = o*b - 20, 5*b - 11 = 3*q - u for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27*i + 22*i = 5*f - 20570, -5*i - f = -20550. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.01 + -885366985.\nAnswer: -885366984.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 185836.\nAnswer: 2, 7, 6637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 333250 divided by -333250?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.5 (b) 2\/21 (c) 0.5 (d) -14\/3 (e) 3\/44\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 32182 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from aaazzaaaaaazazaaaa?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c - 148 + 338. Calculate the remainder when c is divided by 20.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -2*b - 28. Let p be i(-18). Solve 2*d + 8 = -2*o, -4*o - 4 - p = 2*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**3 - 38*g**2 + 78*g - 65. Let z be q(-40). Let x be 156\/z - (-20)\/(-50). Solve -7*j + 45 = x for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -650 + 714.9. Let v = -64.8998796 + f. Round v to 5 decimal places.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4700698*r**4 - 9*r**2 - 278712815*r wrt r?\nAnswer: -56408376*r**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 79*r**2 + 3*r + 4. Let f be b(-1). Suppose 148 = 4*y - f. Calculate the smallest common multiple of 9 and y.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2 - 3. Let l(r) = -502*r. Let y(o) = 251*o. Let i(z) = 4*l(z) + 7*y(z). Is i(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-16 + 2 - 87)*(-2*m**4 + 3*m**4 + 0*m**4).\nAnswer: -101*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3 - -4. Let d be 15*(y + (0 - 0)). Suppose -v = 2*v - d. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -39*k + 454. Let z be m(11). Solve 4*w - z = 3*j, 10*j - 6*j = -4*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 380313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**2 + 7*b - 6. Let u = -22 + 22. Suppose u*i = 5*h + 5*i + 50, -3*h = 2*i + 27. Determine m(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 23, -29, -83, -139, -197, -257?\n\"Answer: -m**2 - 49*m + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x be (4\/(-80))\/(2\/(-15)) - (-93)\/(-248). Put 3, -5, -3, x, -2 in increasing order.\nAnswer: -5, -3, -2, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 51*m**2. Let a(g) = 12*g. Determine a(i(n)).\nAnswer: 612*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the third derivative of -l**5\/60 - 19*l**4\/24 + 34*l**3\/3 + 24*l**2 - 2*l. Let y be g(3). Solve 3*s = 3*c + 15, 5*c = y*c - 5*s - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.602 - 1.3.\nAnswer: -1.902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 11\/875940 and -101\/269520?\nAnswer: 3503760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round 0.3573382322 to four decimal places.\nAnswer: 0.3573","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of 17 and 10.9.\nAnswer: 185.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be 9*1\/3 - (-35)\/(-15). What is the smallest value in -1\/5, w, 2\/5, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = 4*t + 3*z, t + 5*z = -1 - 1. Suppose 0 = 3*m - t*m. Let j = 0.07 + 0.33. Which is the third biggest value? (a) j (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 2418 to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (4 - 7 + 10)*(-50 + 6*y + 54 + 5*y) to o + q*y and give q.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is (0 - (-2)\/3) + (-641526)\/(-18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1193917821437 + 1193917820795.999999629. Let g = 641 + x. Round g to seven dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2829 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 2*q + 7*q = 15, 0 = 5*q - 15. Suppose 2*a - 3*a - 3 = z. Which is bigger: -9\/4 or a?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:47 PM and 1:00 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d = 4*v - 6, -11 = -4*d - 8*v + 7*v. Let y be ((-6)\/(-4))\/((-2)\/4). What is the second biggest value in 1\/2, d, -0.3, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/(f*f*((f*f\/f**(-1))\/f)\/f))\/f*f**12\/f)\/(f**(-1))**33 assuming f is positive.\nAnswer: f**41","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be (0 + -2 + 1)*18\/(-2). Solve 20 = d*y - 4*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/191769 (b) -4\/3 (c) -25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: What is the closest to -13 in -22, 1, -32, 1\/3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-32*c**2 - 14*c**3 + 32*c**2)*((4 - 3 - 3)*(-c**2 + 2*c**2 - 2*c**2) - 4*c**2 + 3*c**2 + 3*c**2).\nAnswer: -56*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 113*c - 120*c + 35. Suppose 6 = 3*z, 0 = -2*n + c*n + 5*z - 7. Let x(a) = 7*a**2 + 2*a + 1. Give x(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.5, -7955, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -2*z**3 + 132*z**2 + 136*z + 118. Let k be o(67). What is the greatest common divisor of 3384 and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = t**3 - 5*t**2 - 2*t + 5. Let c = -11 + 20. Suppose 2*u = c + 1. Give d(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = 28*v + 3. Let h be d(-6). Let b be -4*((-267)\/2 - -1). Let p = b + h. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1180 + -1179.999688. What is m rounded to 5 dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3245883*p - 2702078?\nAnswer: -3245883","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 112 and 28?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (m**2 + m**2 + m**2)*(1 - 2*m**2 - 1) + 84*m**4 + 339 - 339.\nAnswer: 78*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Add together 1.54 and 2980454329.\nAnswer: 2980454330.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3? (a) 81675341 (b) -4 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -0.03, -3, -3\/2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -30? (a) 4 (b) -5 (c) -0.5 (d) 2 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -10*b*c**3*q**2*r - b*c**3 + 7*c**3*q + 25*c**2*q**2*r**2 + 6*c**2*q - r**2 wrt q.\nAnswer: -20*b*c**3*r + 50*c**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -11 - -15. Suppose -3*m = m + s*b - 24, m = b + 2. Suppose -4*f - m = a, -5*a - 4 = 2*f + 16. Solve -2*l - 3*l + 5 = f for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 2 + 1 - 2*z)*(-368 - 23*z**2 + 324 + 25*z**2).\nAnswer: -4*z**3 - 2*z**2 + 88*z + 44","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -6 + s + 15*s**2 - 5 - 3*s**2 + 21*s**2 + 13. What is the units digit of b(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 1 = -5*y - 6, -2*l + 4*y = -12. Let w(p) = -p**2 - 6*p - 4. Let n be w(l). What is the units digit of (1 - (n + 1))*-4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 24312.\nAnswer: 2, 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + ((sqrt(847)*1)**2*-5 + (-3*sqrt(847)*1)**2 - (5 + sqrt(847)*4*-2)).\nAnswer: 88*sqrt(7) + 3378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 46571, 93134, 139661, 186134, 232535, 278846, 325049, 371126?\nAnswer: 417059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r be (16\/56)\/((-8)\/(-14)). What is the biggest value in -2\/11, 4, r?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = g**2 + 65*g + 969. List the prime factors of p(134).\nAnswer: 5, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*x**3 + 20*x**3 - 12*x + 3*x**4 - 6*x**4 - 20*x**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/(q*q**(-1\/3)))**(-29\/2)\/((q**1\/q)\/q*q\/(q\/(q\/(q\/q**(-2\/15)))*q))*(q**1*q)**(23\/5)\/(q**7\/q**(-4\/7)) assuming q is positive.\nAnswer: q**(-15\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 3138 divided by 1046?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -188 = 23*q + 88. Let o(j) = -21 + 13*j**2 + j**3 - j + 2*j + 0*j. What is the tens digit of o(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 11 in -11, -34, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let n = 5 + -3. Let i(h) = -h + 9. Let z(u) = 1. Let s(q) = n*i(q) - 18*z(q). Let o(y) = -2*y - 2*y + 2*y + 3*y. Determine o(s(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is h in h**2\/4 + 58*h = 0?\nAnswer: -232, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b = -25 - -27. What are the prime factors of 4\/(-1) + 88\/b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 444 minutes before 6:25 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) -0.1 (b) 3\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 9760505 or 9760400?\nAnswer: 9760400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -27\/5 + 319\/60. Let g = 30 + -29.83. Let m = -0.27 + g. Which is the second smallest value? (a) -2\/3 (b) f (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-24)\/((-4)\/(-1)))\/(-2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 54 (base 11) in base 3?\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a be -1*(-2)\/(-8)*(-96)\/12. Let k(j) = -4*j**2 + j + 2. Calculate k(a).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o**2 - 32*o - 66. Let k be v(34). Solve -4*r = -2*y - k, -3*r - 4*y - 3 = 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 97\/27610852 and 83\/69374.\nAnswer: 27610852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*b**3 - 13*b + 6 + 2*b**3 + 9*b + 3*b to the form n*b**3 + t + r*b**2 + o*b and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 580445101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*k**3 - 19*k**3 - 23*k**3 + 23720*k**2 - 23721*k**2.\nAnswer: -34*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 195855?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + g = -2, -3*k - 3*g + 2*g = 2. Suppose -4*s = 0, k*m + 72 = 2*m + 2*s. What is the common denominator of -26\/5 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00001415 rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 38738?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = a**3 + 7*a**2 + 13*a + 9. Let z be f(-4). Solve -4*w = -5*b - 8, 3*w - b + z*b + 25 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*z - l + 4 = 0, 3*z - 3*l - 9 = 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-53)\/(-9) + (-262)\/(-2358).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.6866506 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -487351*a**2*o**4 + 280*a**2 + 2*a + 98 wrt o?\nAnswer: -1949404*a**2*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -97\/220 and 103\/17556644.\nAnswer: 965615420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 274*b + 164*b - 6151302 = 8602290. What is the thousands digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*m + 6 = x, 86 = x - 6*x + 4*m. Let u = -12 - x. Let g(q) = q**2 - 2 - q**3 + u*q**2 + q + 0*q. What is g(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 55 and 2145?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 3294 + -3299. Sort -4, 4, a, -7, 1 in descending order.\nAnswer: 4, 1, -4, a, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -11504, -18856, -26186, -33482, -40732, -47924?\n\"Answer: 2*f**3 - f**2 - 7363*f - 4142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*m = 7*p - 55, 464*p - 465*p = 5*m + 3 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -p**3 - 89*p**2 + 154*p + 7699. Give n(-90).\nAnswer: 1939","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = -2*q + 4*j, 5*q - 21 + 55 = -2*j for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 1.505584 grams in milligrams?\nAnswer: 1505.584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = q**2 - 2*q - 3. Let g be f(3). Let l be ((-342)\/(-24))\/(9\/24). Let c be (-42)\/l + 2 + (4 - 5). Which is greater: c or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1376.2 - -1317.512. Let f = 58 + l. What is f rounded to two decimal places?\nAnswer: -0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 157, 173, 199, 235, 281, 337?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y\/(y**(-44)\/y))\/(y*y\/(y**0\/y)))\/(((y*y**(8\/13)*y)\/y)\/y**(-49)) assuming y is positive.\nAnswer: y**(-99\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i = -11 + 21. Let u(t) = t**3 - 22*t**2 + 21*t + 6. Let f be u(21). Suppose -24 - 6 = -f*o. Solve 0*g + o*g = -i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15216 is divided by 1268.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) -31 (b) -13\/22 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 44*x**3 - 168*x**2 + 100*x + 24.\nAnswer: 4*(x - 3)*(x - 1)*(11*x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 20\/8*3\/60.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*n = 5*n + 648. Suppose -3*x = 3*o, -67*o - 9 = -n*o - 2*x. Solve -4*k - 1 = 3, o*c + 5*k + 17 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -36 - -36. Let p = 4 + -3. Are p and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 47501729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = 9 + -8. Let v = g + 4. Calculate the lowest common multiple of 8 and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44 a factor of 344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -160 divided by 40?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 16710 and 213447970.\nAnswer: 5570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 10477677 greater than 31433029\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -6b4 - -17a97?\nAnswer: 173b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10550 and 1000?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the first derivative of -l**5\/10 - 2*l**4\/3 - l**3 + 16*l - 30. Let p(v) be the first derivative of k(v). Find u, given that p(u) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (76\/57)\/(2\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -618698 divided by -17.\nAnswer: 36394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0453480616 rounded to six dps?\nAnswer: -0.045348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = l**3 - 3*l**2 - 13*l - 3. Let w be r(-3). What is the remainder when (3 - 384)*6\/w is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh smallest value in 1, -3\/5, 4, -3, -5, 747, -1?\nAnswer: 747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/8 + 2\/(-8). Let u = 3.5 + -3. Which is the closest to x? (a) u (b) -2\/21 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -30 - -16. What is the units digit of (-20)\/(-6) - j\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (2\/(-3))\/(32\/672). Let k = s + 166. Is k a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*o**3 - 8*o**3 + 16*o**3 - 5614*o - 846*o - 3359*o**2 + 3303*o**2 wrt o.\nAnswer: 66*o - 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -19\/22 + 761\/66. Let f = -487 + 1477\/3. Find z, given that -f*z**2 - p*z**3 + 10*z + 6 = 0.\nAnswer: -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (74 - 73)\/(1\/(-4) - 0). Let d = 2 + 0. What is the remainder when 2\/(x\/(-200)*d) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -10*c + 11. Suppose -4*x = 2*t - 2*x + 66, -x = 0. Let y(u) = 2*u - 2. Let r(b) = t*y(b) - 6*d(b). Let l(j) = j. Calculate r(l(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"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: Factor -8*j - 10*j**2 - 4*j**3 + 0 - 1\/2*j**4.\nAnswer: -j*(j + 2)**2*(j + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3262 + 3261.6. What is the closest to -0.1 in -1\/4, -25, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13 + 4. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -695.9 + 695.81. Sort i, 0.4, 0, 0.06 in decreasing order.\nAnswer: 0.4, 0.06, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose o - 2 + 0 = 0. Suppose o*z + z - 6 = 0. Suppose -z = -x - 0. Is x != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/(-215))\/(567\/945).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -59 + 13 - r + 30 + 14. Determine t(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*a - 5*a - 1962. Let v = a - -224. Suppose -4*k - 3 = -15. What is the greatest common factor of v and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4.377 - 4.387. Which is the closest to -2? (a) -112 (b) 0.3 (c) 3 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-6)\/2)\/(12\/(-20)). Suppose -5*x = -10 - w. Solve x*d + 6 = -3*o - 3, 4*o + 3*d + 14 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 201*n**3 + 13964860*n - 13964860*n.\nAnswer: 201*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -3\/2? (a) 1205 (b) 0 (c) 3 (d) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 1898714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 10240 and 1230340?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 + -3 - (-21 - -6 - -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20*-2*1350\/(-2430)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -7, 2, -649, 9 in descending order.\nAnswer: 9, 2, -3, -7, -649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 91, 107, 125, 145, 167?\n\"Answer: b**2 + 13*b + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -527193.29 rounded to the nearest 1000?\nAnswer: -527000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q*q**(-4\/11)\/q*q*q**26)\/(q**(-38)*q\/q**11) assuming q is positive.\nAnswer: q**(832\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 5\/103372 and 7\/314924.\nAnswer: 13541732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 4876.3 and 12?\nAnswer: 58515.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6, -1, -8, -9, 2?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 53900, -5, -10 in ascending order.\nAnswer: -10, -5, -2, 53900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = 41 - -2. Suppose -3*k - 3*y = -6, -3 = 2*k - y - 16. Suppose 3*s + c = 15 + 2, -k*s + 2*c + u = 0. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 57 a factor of 400917?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*sqrt(187)\/(-5*-3*sqrt(11) - sqrt(11)) + (-1 + (sqrt(1700)*-2 - sqrt(1700)) + sqrt(1700) + sqrt(1700) - (1 + sqrt(1700) + 1))**2.\nAnswer: 837*sqrt(17)\/7 + 6809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 110101100010101 - 11010111101101?\nAnswer: 11010100101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 1882, 3764, 5646, 7528, 9410?\n\"Answer: 1882*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (-14)\/(-378)*6 - 2\/((-468)\/(-46))\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 823, 5677, 18585, 43573, 84667, 145893?\nAnswer: 231277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (41*o**3 - 3*o**4 + 2*o**4 - 44*o**3)*(3 - 20 - 2).\nAnswer: 19*o**4 + 57*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort 8, 0, -21, -1.\nAnswer: -21, -1, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = -1 + 2. Let z(y) = -y**2 - 8*y - 8. Let o be z(-6). Suppose -1 - 1 = t, 3*j = -o*t + 7. Calculate the lowest common multiple of j and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = y**3 + 3*y**2 - 2*y - 2. Let m be u(-3). Let k be (12\/(-135))\/(m\/(-10)). Let c = -8879\/7 - -1268. What is the closest to 0.1 in c, k, -0.4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 115506 and 2511?\nAnswer: 115506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 37 or 36?\nAnswer: 37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 72 is divided by 22.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Round -0.005922534 to 6 dps.\nAnswer: -0.005923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xmmxriimmvrxxxrrv. Give prob of picking 1 x and 1 i.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 769, 3075, 6919, 12301, 19221?\n\"Answer: 769*d**2 - d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = -24*z**2 - 8*z**2 + 30*z**2. Let c(a) = -28*a. Calculate k(c(l)).\nAnswer: -1568*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2871*v**3 - 2754*v**3 + 5708*v**3.\nAnswer: 83*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 0.22, -1\/8, 61, -5.\nAnswer: -5, -1\/8, 0.22, 2, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 9*a - 5*a - 160. Let i = a - 33. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the second derivative of 5\/18*v**4 + 7*v + 7\/9*v**3 + 1\/30*v**5 + v**2 + 0. Factor y(b).\nAnswer: 2*(b + 1)**2*(b + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from memmcmocerrrmroreeo. What is prob of picking 1 o and 1 c?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-32)\/(1335\/(-534)*(-2)\/10)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 0, 30, 78, 144, 228, 330?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 61*p = 70*p - 14247. Is 39 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = 13*s**2 - 5*s - 11. Let g(z) = 7*z**2 - 3*z - 6. Determine -7*g(f) + 4*w(f).\nAnswer: 3*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:11 AM and 5:41 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 1206564104?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a millimeter in micrometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*b - t - 25 = 0, -476835*b - 2*t = -476840*b + 30 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(17) + sqrt(17) + 2)*-6*4.\nAnswer: -48*sqrt(17) - 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 2 + 0. Let j be (-4)\/m + (-16)\/(-9). Let z = -13842 + 13845. Which is the closest to j? (a) 2 (b) 2\/11 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 504 minutes before 2:37 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 230 - 69. Let c = x - 67. Suppose 5*s = -c + 159. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 748 - 288 - 460 + 21*u**3.\nAnswer: 21*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j = -18 - -21. Suppose -j*o + 6*o = 93. Calculate the remainder when 89 is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25394 (base 13) in base 16?\nAnswer: 10c7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 9 = -17. Let n(l) = 6*l**2 - 4*l**2 + 4 - 6 + 3*l - 2*l**3. Determine n(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y*y**17*y)**45 assuming y is positive.\nAnswer: y**855","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2875 and 14250.\nAnswer: 327750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t\/(t\/(t*t**(-13))*t))\/t)\/(t*t*t\/((t\/(((t\/t**(-1\/38))\/t)\/t*t)*t)\/t)*t) assuming t is positive.\nAnswer: t**(-609\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find p such that -4*p**3\/7 - 1048688*p**2\/7 - 165617812*p\/7 - 6540917496\/7 = 0.\nAnswer: -262014, -79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 37613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o = 59310 - 9673. Suppose -43*n + 24108 = -o. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -18 + 25. Let a = 7.00006 - k. Round a to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1 - -3. Suppose -70 = -z*h + 82. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (5\/2)\/((-20)\/40). Let o(q) = -2*q - 1. What is the units digit of o(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -37034, -37035, -37036, -37037?\nAnswer: -37038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-560)\/(-144) - (-9)\/81. Let f(q) be the third derivative of 0*q**j + 1\/40*q**6 + 0*q + 0 - 21*q**2 + 0*q**3 - 1\/20*q**5. Factor f(w).\nAnswer: 3*w**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -37.18 + 35.18. Let d be (-2 - (-7)\/4)\/(-2). Sort 2\/13, u, d in decreasing order.\nAnswer: 2\/13, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -2, 1066, 5, 3, 2.\nAnswer: -5, -2, 2, 3, 5, 1066","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + 3*o = 62, 3*j - 14 = 2*j + o. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 (base 10) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2 - 1.8. Let n = 8 - 1. Suppose -3 = n*s + 18. Which is smaller: y or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 568554.\nAnswer: 2, 3, 7, 13537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Round -1.394039148 to 4 decimal places.\nAnswer: -1.394","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (5 + 2 - 5)*(-x - x + 0*x) - 549 + 3*x + 549 as g + v*x and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5*t + 3*t - 226 - 64 + t + 290.\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -140, 1, -18 in ascending order.\nAnswer: -140, -18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 34344045 (base 6) to base 12.\nAnswer: 42b025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-30)\/30*(2 - (41 - 2)). Calculate the greatest common factor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 45, 0.09, 78.5.\nAnswer: 0.09, 45, 78.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2057*v**6 + 2*v**2 - 701?\nAnswer: 246840*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (16 - -7) + (-3 + 1 - (14 - (-9 + 29))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cyi when three letters picked without replacement from ijcycyjso?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 22, -2, -5, -882, -6\/7, -3?\nAnswer: -882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from kzzzkzzz. What is prob of sequence zkzz?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*d + 2135 = -319. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -612*x**3 - 65486*x**2 - 235*x - 2240. Determine w(-107).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -m + 4. Suppose c + 8 = -2*c - 5*z, -4*z = 16. Let u be 209\/9 + (-7)\/126*c. Suppose u*x - 12 = 26*x. Let s(p) = -p + 5. Determine x*s(q) + 5*v(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 38782509 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in -94, -98, -112, -142, -194, -274?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 119\/9 - 13. What is the third biggest value in -1, 8, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 321 (base 5) to base 4\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(125) + 1 - (sqrt(5) - (sqrt(5) + -1))*1) + -4 + sqrt(45) + -3.\nAnswer: -7 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(21)\/sqrt(3)*5*4.\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l be -3*3\/153*-2. Let z = -86\/5 + 17. What is the biggest value in l, z, -2\/17?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5165541.09 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-281547)\/(-25830) + (-13)\/(-5) + -1.\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 98*u - 91*u = 56. Solve -2 + u = 6*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2661 divided by 1?\nAnswer: -2661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the first derivative of -l**3 - 7\/4*l**4 + l**5 + 4 + 7\/2*l**2 - 2*l. What is i in n(i) = 0?\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.263 in 5, 4\/49, -26?\nAnswer: 4\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y - 3 = m - 12, -m = 2*y - 3. Let u be 2\/(-11) - 560\/(-55). Solve -2*s = -m*a + 3*s, a - u = -s for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 0 (b) -2.7 (c) 2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let w be 6\/2*(128 - -5). Let s = 792 - w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 680 minutes after 11:06 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 31181 and 0.79?\nAnswer: 24632.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 115 = 4*u, 5*y - 216 = 3*y + u. Suppose 19 = -2*z + y. Suppose 4*d - z = -4. Solve -5*w - 13 = 2*o, -5*o = -3*o + 2*w + d for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes after 10:56 AM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = 51*s**3 - 39*s**2 + 11*s. Let c(g) = -26*g**3 + 19*g**2 - 6*g. Let d(f) = -11*c(f) - 6*n(f). Find the third derivative of d(i) wrt i.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -4818 * 2311\nAnswer: -11134398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1794?\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 235904, 235941, 235978, 236015, 236052, 236089?\n\"Answer: 37*l + 235867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -24*105.\nAnswer: -2520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 1323 divide 189331884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -675 times 0.061?\nAnswer: -41.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 23840*j**4 - 190*j.\nAnswer: 286080*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 4*z = -8, 2*r = 3*r + z + 2. Put 17, 4, r, -4 in ascending order.\nAnswer: -4, r, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3904962 or -5?\nAnswer: -3904962","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 - 2 - i)*(4 - 2*i - 4) + 2071*i**2 - 4202*i**2 - 2317*i**2 to f + a*i + d*i**2 and give d.\nAnswer: -4446","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tuut when four letters picked without replacement from ntunknntkuun?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-2)*((-4)\/3)\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 4 (b) -0.278 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(sqrt(468) + sqrt(468) + -2))**2 - sqrt(468)) + (5 + sqrt(13) + 0 + -4)**2.\nAnswer: -196*sqrt(13) + 7518","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 16901?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 25 = -4*z - 23. Let l be 44\/(-40) + z\/8. Is -4 greater than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 181577 and 12155.\nAnswer: 11802505","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -0.17 (b) -0.4 (c) 0.545 (d) 11.6 (e) 0.2 (f) 3\/5 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 5\/40*8 + -3. Sort -10, -7, -1, h in ascending order.\nAnswer: -10, -7, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -43585b94 + 0?\nAnswer: -43585b94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/(-8)*(-116)\/(-87))\/(1\/2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 229748 and 23?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 11294*w + 4 - 77*w**3 - 5*w**2 - 11293*w + 7*w**2 - 2*w**4 to d + v*w + u*w**4 + t*w**2 + o*w**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -8*n**3*t**2 + 124*n**3 - n*t**2 wrt t?\nAnswer: -16*n**3*t - 2*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + -2*sqrt(1377) + 5 + (sqrt(1088) - -1*sqrt(1088)))**2.\nAnswer: -28*sqrt(17) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 368380 and 405544.\nAnswer: 652","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*z - 34*q - 102, 33*z - 15*z + 3*q + 9 = 14*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 97122.\nAnswer: 2, 3, 16187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u + 30 = -5*t, -4*t = 3*u - t for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find j, given that 2*j**4\/7 - 163490*j**3\/7 + 326974*j**2\/7 - 163486*j\/7 = 0.\nAnswer: 0, 1, 81743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round -81589 to the nearest one thousand.\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = 0 + 0*c + 2*c - 2 - 3*c**2. Suppose -n + 0*n - 2*s = 15, -2*n - 35 = 5*s. Let x(b) = -b + b + 7*b**2 + 5 - 4*b. Give n*v(u) - 2*x(u).\nAnswer: u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-364)\/98 + 17372\/4515?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**3 + 6*v**2 + 4*v - 3. Let f be x(-5). Suppose -2*h = f*b - 70, 0*h - 4*h = -4*b + 140. What is the remainder when b is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13262 - 2*c**2 + 7*c**4 + 42*c + 7*c**3 + 13262 - 56*c**2 + 3*c**2 - c**5 = 0.\nAnswer: -3, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-12 - -31) + 211\/(-11).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 7, -12, -5, -2 in ascending order.\nAnswer: -12, -5, -2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.7195972 millilitres in litres?\nAnswer: 0.0007195972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**2 - 19*k - 76. Give x(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-172)\/(-6450)*-25*162\/(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -81\/880 and 49\/391512.\nAnswer: 3915120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 46*w - 32*w - 1792. Suppose 5*n + 14*x - 12*x - 400 = 0, n - 5*x - 80 = 0. What is the greatest common divisor of n and w?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -2 or -239?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -348 = 6*y + 6*y. Which is greater: y or -30?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10 + (-5 - 5 - -22).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (13*g + 8*g + 41*g)*(-3 + 0 + 1) + 7*g - 8*g + 5*g to x + h*g and give h.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that -2*j**2 + 17096*j - 17094 = 0.\nAnswer: 1, 8547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 7 - (7 - -3) - -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 40 a factor of 203440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = -n**3 - 10*n**2 + 6*n + 10. Let u be l(-11). Let z be (-6)\/(-9) - u\/(-15). Let t = 4\/19 - -11\/38. Which is the closest to t? (a) 9 (b) 2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 + 0. Let d(h) = -20*h**2 - 6*h - 5. Let t be d(-1). Let z = l - t. Solve 0 = 5*v + z, -3*x + 0*x + 4*v = -28 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 159.2919, -1, 0, 2\/29?\nAnswer: 159.2919","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 28172 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 34019184 divided by -12.\nAnswer: -2834932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o = -23 - -66. Let v = o + -42.99885. Round v to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6655833?\nAnswer: 3, 19, 38923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 459*f - 55118 = -1319*f. Calculate the remainder when -1 + 0\/2 - -55 is divided by f.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -2003, -8027, -18075, -32147, -50243, -72363, -98507?\n\"Answer: -2012*k**2 + 12*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -2*d, 0 = -f - 40*d + 45*d + 8. Factor 0*v + 0 - 4\/3*v**2 + 2\/3*v**f + 2\/3*v**4.\nAnswer: 2*v**2*(v - 1)*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*c + 11 + 283. Suppose -30*b = -c*b - 486. Does 6 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -s = 3, -5*a - 5*s + 43830 + 178210 = 0. List the prime factors of a.\nAnswer: 89, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*z - 288 = -0*z + 22*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8687?\nAnswer: 7, 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 6\/7 or 0?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be 17 + 2553\/(-148) - (2213\/(-4) + 1). Calculate the highest common factor of 96 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 3 + -102?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 23*q**3 - 23 + q - 8 + 40 - 8 to u*q**3 + p*q**2 + r + a*q and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4794449653?\nAnswer: 7, 15233, 44963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p = 19*p - 60. Which is the nearest to 2\/11? (a) 0.2 (b) p (c) -2\/9 (d) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (16470\/(-1080))\/((-4)\/(-8)*(-5)\/(-10)).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*l**3 - 21*l**3 + 2*l**3.\nAnswer: -42*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1\/15981 + -527383\/159810. Find the common denominator of -3\/4742 and n.\nAnswer: 23710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8105 divided by -1621.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -64*k - 52*k + 1044 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = -3.1 + -0.9. Let m(a) = -a + 19. Let i be m(13). Sort -5, -2, b, i in decreasing order.\nAnswer: i, -2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 102*s**2. Let c(o) = -9*o - 2. Let i(u) = -13*u - 3. Let z(l) = -3*c(l) + 2*i(l). Give z(k(a)).\nAnswer: 102*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 539163.073 rounded to the nearest ten thousand?\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -138*o + 137*o - 5*g + 533499 = 0, o - 4*g - 533445 = 0. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: -5706774 divided by -2\nAnswer: 2853387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Express 8*h - 8*h - h**2 + 0*h**2 + 2 - h as a*h + i*h**2 + z and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 231933 and 741.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -207886621*v*z**2 + 7927*v - 4563*z + 1 wrt z.\nAnswer: -415773242*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert -545256 (base 8) to base 6.\nAnswer: -3531010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-31*i + 107*i + 7*i)*(1 - 2*i - 1)*(5 - 4 - 3) to u*i**2 + q*i + d and give u.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 415.7407g?\nAnswer: 0.4157407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 269*w + l = 259*w + 455, w + 3*l = 52 + 8 for w.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 14 (base 10) in base 15?\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-50)\/(-20)*4\/5. Let j(m) = m**2 + 2*m**v + 0*m**2. Let t(k) = -2*k**2 - 3. Let z(r) = 2*r**2 + 2. Let h(b) = 2*t(b) + 3*z(b). Calculate j(h(l)).\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -14*r. Let s(g) = -3*g + 2. Let m(z) = -3 + 64*z + 4 - 65*z. Let k(n) = 2*m(n) - s(n). Let a(q) = 7*q. Let f(u) = a(u) - 6*k(u). Determine x(f(w)).\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 100 (base 9) to base 13\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 170\/42 + (-14)\/294?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -3, -1, 3, 23, 0 in decreasing order.\nAnswer: 23, 4, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 167857232, 335714464, 503571696, 671428928, 839286160?\n\"Answer: 167857232*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 15555 less than or equal to 0.0806?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s = -236 + 239. Suppose -5 + 1 = -2*v. Solve 5*p - s = v*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k - 15 + 5*k + 2*k**2 + 2*k + 19. Let u be o(-2). Suppose 3*z + z - 684 = u. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 739*r**3 - 564*r + 1?\nAnswer: 4434*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3030)\/100 + 31)*8?\nAnswer: 28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:09 PM and 4:56 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t be 27\/(-18) - (-2 + 97\/(-2)). Suppose 50*m = t*m + 90. What is the remainder when 6 is divided by (-4)\/(-34) + m\/102?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = 7*m. Let g(i) be the first derivative of 0*i + 0*i + 70 + i**2 - 52. Give g(n(d)).\nAnswer: 14*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -2127*z + 60279. Calculate t(28).\nAnswer: 723","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 87345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0729 rounded to 3 dps?\nAnswer: 0.073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = -j**2 + j + 1. Let l be 22\/18 + 2\/(-9). Let o be g(l). Let u be -8 - 279\/(-27) - 1. Which is the smallest value? (a) o (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 77218*n - 77222*n - 4*b - 36, 0 = -11*n + 4*b - 114 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-273)\/(-117) + 2\/(-1). What is the closest to m in 5, -2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**2\/15 - 5061698*x\/5 + 30370196\/15.\nAnswer: -2*(x - 2)*(x + 7592549)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -1100143 (base 5) in base 6?\nAnswer: -223010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -175366 - -297383. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1675224 (base 11) to base 16.\nAnswer: -2b722d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -w - 11. Let n be p(12). Let t = n - -31. Let l = 52 - 13. What is the remainder when l is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 360 = -d + 13*d. Solve -5*g + d = -2*m, g = -2*m - 3*g + 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -4, -127, -33 in ascending order.\nAnswer: -127, -33, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -i**2 + 7*i - 6. Suppose 12*a - 3*l + 59 = 14*a, -3*l = -15. What is the remainder when a is divided by j(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = 15196*s - 455881. Give z(30).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -11*l**2 + 67*l. Let u(m) = -2*m. Give u(n(f)).\nAnswer: 22*f**2 - 134*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o be 5\/(25\/89) + (-1)\/(-5). Let r be -2*o\/24 + (-2)\/(-4). What is the closest to 1 in -0.3, 1\/3, 5, r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*x + 7*x + 14*x = -2821. Which is greater: x or -101?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t + 4*p = 23, 0 = 4*t - t - 2*p - 5. Let a(l) be the second derivative of 0*l**2 + 0 + 0*l**3 - t*l - 1\/4*l**4. Let s(g) = 2*g. Calculate a(s(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -6929232*-0.01\nAnswer: 69292.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose c = 2*q + 222, 4*c + 5*q - 876 = q. Let d be (-334)\/(-22) - 40\/c. Suppose 10 + d = h. Solve -5*j + 2*v + h = 0, 4*j = -0*j + 3*v + 27 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 272453 to the nearest integer?\nAnswer: 522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 218529523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 440444 and 596?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vxvm when four letters picked without replacement from xvxxxvmv.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4.74 in 2\/445, -0.2, -16, 0.05, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 2.862176 decades in years?\nAnswer: 28.62176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 10*z**3 + 2*z**2 - 1. Let b be h(1). Let y = -8 + b. Suppose t - 341 = -2*t + 2*s, -y*s = -t + 123. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 177\/346 - 2\/173. Sort 2, 4, y, 1\/6.\nAnswer: 1\/6, y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = -g**3 - 6*g**2 - 5*g - 4. Let q be t(-3). Let x = 19 + -28. Let p = x - q. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b + l + 358 = 0, 2*l = 3*b + l - 1080. Calculate the smallest common multiple of b and 190.\nAnswer: 3610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the third derivative of -k**8\/98 + 47*k**7\/735 - 43*k**6\/420 - 4*k**5\/105 + k**4\/21 - 867*k**2. Suppose r(f) = 0. Calculate f.\nAnswer: -1\/3, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8258?\nAnswer: 2, 4129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 89 in -4, 1.2, 0, 4, -0.7, 123?\nAnswer: 123","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -332, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = -51 + 53. What is the biggest value in 0, -0.2, t, 0.3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 7*m + 4. Let y be i(7). Let k = 225 - 89. Let j = k - y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**3 - 7*f**2 + 9*f + 10. Let n be c(5). Suppose 2 = n*l - 23. Solve 5*y + 0 + l = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zr when two letters picked without replacement from lqqlqzqqqqlrl.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = -36.7 + 35. Let o = l + 1.2. Let y = 1368\/8723 + -2\/671. What is the smallest value in o, -3\/5, y?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 170 is divided by 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -4*a + 3*a + 0*a. Let k(z) = z**2 + 588*z - 588*z. Calculate k(d(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 4, g: 2, r: 4, a: 1}. What is prob of sequence aaaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the first derivative of 11*x**4 + 4*x**3\/3 - 2*x**2 - 49. What is the third derivative of f(j) wrt j?\nAnswer: 264","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10698319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.3 + -1.2999327. What is y rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -33.04067 rounded to 2 decimal places?\nAnswer: -33.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = -12*w. Suppose -2*u - 4*z = 20, -5*u - 18 = 3*z + 39. Let c be -6*6\/u + -1. Let g(v) = 1096*v + 3*v**2 - 1096*v - 5*v**c. Give b(g(t)).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12348 divided by 28.\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the first derivative of -i**4\/4 + 2*i**3 - 10*i + 5. Let p be l(5). Calculate the highest common factor of 5 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*u - 36 = 4*l, 9 = 5*u + l + 38 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve m + 5093*o = 5102*o - 144, 80 = -5*m + 5*o for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 14*a**3*k**2 + a**3*n + 79*a**2*n + 21*a*k + 77*k**2*n + 32*k**2 + k*n wrt a.\nAnswer: 84*a*k**2 + 6*a*n + 158*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = 58 - 24. Calculate the remainder when n is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i**4 - i**3 - i + 1. Let r(x) = -2*x**2 - 4 - 22*x + 28*x + 5*x**4 + 2*x**3 + x**2. Let b(l) = 4*q(l) + r(l). Suppose b(h) = 0. Calculate h.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*z + 14*z + 2*z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 3, d: 1, w: 3, a: 1, p: 4, y: 3}. What is prob of picking 2 w?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 530310651 to the nearest integer?\nAnswer: 809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = 3*h**3 - 15*h**2. Let n(m) = -m**3 + 8*m**2. Determine -2*j(l) - 5*n(l).\nAnswer: -l**3 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0.1 * -2251\nAnswer: -225.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-7)\/(4\/(-72)*1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 111*q**2. Let o be u(10). What is o rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -f + 153. Let v be t(0). What is the highest common factor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 - 682.651.\nAnswer: -682.851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 185 and 104743855.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -59179, -118365, -177553, -236743, -295935?\n\"Answer: -p**2 - 59183*p + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-1*(sqrt(132) + (sqrt(132) - -6*2*sqrt(132))))\/((sqrt(132)\/sqrt(99) + sqrt(12))*6).\nAnswer: 21*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = t**3 + 34*t**2 + 232*t + 67. Let w be c(-9). Factor -2\/3 + j - j**3 + 1\/3*j**2 + 1\/3*j**w.\nAnswer: (j - 2)*(j - 1)**2*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/6*-2*(1455134\/(-1799))\/298?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in -2, -111, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-1)\/((-4)\/12) + -2)\/1. Calculate the remainder when (-33)\/(-2) - p\/2 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cwv when three letters picked without replacement from evevwvcwwew?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 12*t**2. Let u(c) = -3*c**2. Give p(u(g)).\nAnswer: 108*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -151\/4872 and -85\/17052?\nAnswer: 34104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 46*i = 18*i. Put -3, i, 7 in descending order.\nAnswer: 7, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 35 equal to -906538?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -19*g**5 + 174*g**2 - 143*g**4 + 86*g**4 + 56*g**4 wrt g?\nAnswer: -1140*g**2 - 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -388 - -526. Suppose 8*x - 2*x = g. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 7*p**2. Let u be (-5)\/(-9) - (-8)\/(-36). Let y(g) be the second derivative of u*g**3 + g + 0 + 0*g**2. Give j(y(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 547853617, 1095707234, 1643560851, 2191414468, 2739268085?\n\"Answer: 547853617*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -134, -137, -142, -149, -158?\nAnswer: -169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2*((-75)\/12 + 2\/8). Find the common denominator of (-2)\/c*14\/133 and ((-2)\/(-7))\/(6\/28).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 308498 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.2 - 0.3. Let c = 13586 + -13585.93. Let p = -2\/265 - -112\/795. Sort -1\/3, p, a, c in decreasing order.\nAnswer: p, c, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.01078 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 76 = 4*w - 4. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 26121 - 26051 = -5*i - 5*h, -3*i = 5*h + 48 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 457 minutes before 10:29 AM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m(t) = -123*t**3 - 5*t**2 - 3*t - 3. Let v(n) = -246*n**3 - 8*n**2 - 5*n - 5. Give 5*m(p) - 3*v(p).\nAnswer: 123*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (558 + 764 + 79)*(2*u + 0*u - 4*u) to y*u + n and give y.\nAnswer: -2802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m = -4778 - -4780. Let g(x) = x. Let p be g(2). Let k(r) = 2*r + 0 + 3*r**2 + p - 4. Let f(a) = a - 1. Determine m*f(l) - k(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 427 minutes after 2:02 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Divide 2 by -184370.\nAnswer: -1\/92185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -w**3 - 62*w**2 + 96*w - 408. Calculate the remainder when k(-67) is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 816 is divided by 133?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Work out -1.05904 * -263.\nAnswer: 278.52752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 246.5 rounded to the nearest 10?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = m**3 - 16*m**2 - 54*m - 531. Determine l(20).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -5447302202, -5447302203, -5447302204?\nAnswer: -5447302205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 4 + 1aa?\nAnswer: 1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let g = -56.4 + 57.334. Round g to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 112\/28 + (-1)\/(-1)*2095 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 110342807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2706*b - 4001*b - 1684*b)*(2 + 0*b + 0 - 2*b).\nAnswer: 16782*b**2 - 16782*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 35 = -3*t, 31 = 4*t - 4*o - 17. Suppose 4*p = v + t, 2*v - 4*p = p - 16. Let i = -4 + v. Sort i, -5, 4 in ascending order.\nAnswer: i, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 0.5 - 0. Let x = -1 + m. Let o = 22.1 + -22. Which is the biggest value? (a) -1\/3 (b) x (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 13684 * 1.\nAnswer: 13684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -p = i - 1, -5*p + 3*i + 61 - 24 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 10124306 is divided by 271?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -56*w + 338. Let f be q(6). Solve f*b + 4 = 0, -4*o + 0*o = 3*b - 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 14 + -1 + -2 + 1. Let h = p + -4. Suppose -3*j - j + h = 0. Which is smaller: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 79\/35 + -13\/7. What is the smallest value in -3\/4, g, 32?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -4*p**2 - 5*p + 1. Let v(q) = -21*q**2 - 26*q + 4. Give 11*g(s) - 2*v(s).\nAnswer: -2*s**2 - 3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 i when three letters picked without replacement from {g: 10, o: 4, i: 5}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(18)\/(sqrt(6)*-1) + sqrt(3) + -1*sqrt(432))*-4.\nAnswer: 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1842970469?\nAnswer: 1842970469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5? (a) -2\/3 (b) 0 (c) 7 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7712 and 1402138?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b = -2*p - 3*p + 383, 3*p = -4*b + 235. Find the third derivative of -p*z**5 - 2*z**2 + 85*z**5 + z**2 wrt z.\nAnswer: 480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -11 and 269.4.\nAnswer: 258.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + -2 + -2*(sqrt(700) + 1))*2)**2.\nAnswer: 800*sqrt(7) + 11300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 61364 times 24\nAnswer: 1472736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -74*b**4 - 11*b**3 - 23*b - 14.\nAnswer: -888*b**2 - 66*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 506628954.\nAnswer: 2, 3, 13, 2165081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -d**3 - 7*d**2 - 5*d + 10. Let y be 1*-2 - (-20)\/(-5). Let g be a(y). What is the greatest common divisor of g and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -77848 + 77848.135612. Let w = p - 0.025619. Let g = w + -0.11. Round g to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 223 minutes after 12:34 PM?\nAnswer: 4:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1824 = -x - 5290. Is x\/(-18) - (-16)\/(-72) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 16*n**2 - 1333*n + 112. Calculate f(83).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 1126 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*z + m - 14, 5*m + 27 - 2 = -4*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-2))**(3\/19))**(-4\/31)\/((v**4)**(-11))**(-25) assuming v is positive.\nAnswer: v**(-647876\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-222)\/5)\/((-702)\/60 + 14 + (11 - 13)).\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 69a5 + -498?\nAnswer: 6508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -3*b + 7. Let j be d(3). Let y = 2 - j. Solve -3 = -y*i + 17 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**2 - 10*j - 2. Let t be r(15). Let i be 3040\/42 - (-2)\/6. Let w = t - i. Which is the closest to 2\/5? (a) -2\/5 (b) w (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 27342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 64559061 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 79020, 79021, 79022, 79023, 79024?\nAnswer: 79025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 11*v - 36 - 140. Solve -12*i + 8*i + v = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 934646?\nAnswer: 2, 557, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2 + 0. What is the derivative of j**p + 3 + 0 + 2*j**4 - j**2 wrt j?\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -11 + 103. Let w = 142 - t. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 74433 is divided by 90?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 5*x**2 + 23*x - 19. Calculate the remainder when o(7) is divided by 79.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 35\/(-1)*5\/(945\/108*-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**3 - p**2 + 5*p + 2. Let o be j(-3). What is the nearest to -3 in 0.2, 1, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 7072694897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -5*c**2 + 6*c - 2. Let x(p) = -8*p**2 + 9*p + 1. Let n(u) = -33*u**2 + 37*u + 6. Let h(l) = 2*n(l) - 9*x(l). Let z = -18 - -13. Give z*s(t) - 4*h(t).\nAnswer: t**2 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 4524\/5916*17\/(-1)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4)\/6 + (-22)\/(-6). Let z be (-2)\/(-4) + (-80)\/(-224). What is the second smallest value in f, 0.3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-9 + 2 + 2803*d**2 - 2790*d**2)*(37 - 25 + 18).\nAnswer: 390*d**2 - 210","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a = 56 + -56. Suppose -2*q + 330 = 2*h + 82, a = -5*h + 4*q + 602. What are the prime factors of h?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2\/(-4) - (-778)\/4. Let t = 163744 - 163549. Is s at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in 0, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = 59*z + 3. Let i be o(2). What is the greatest common factor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x**2 + x**2 - x**2)*(7 - 3 - 2)*(131*x**2 - 374*x**2 + 47*x**2).\nAnswer: 784*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of -507277, -2029180, -4565723, -8116900, -12682705, -18263132, -24858175, -32467828?\n\"Answer: l**3 - 507326*l**2 + 68*l - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = z - 19. Let u(r) = -635245*r + 145. Let w be u(z). What is w rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 2, -2 in decreasing order.\nAnswer: 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d = -4*k + 166, 0 = -5*d + 6*d - 5. What is the remainder when 218 is divided by k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that 324*m**5 - 371789928*m**4 + 106656801839284*m**3 + 237016492199920*m**2 + 131676084000400*m = 0.\nAnswer: -10\/9, 0, 573751","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/40 of a litre in millilitres?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 - -22 - (-35 + -4 + 90).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0 (b) -1 (c) -23 (d) 3.59 (e) -2 (f) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = p**3 + 23*p**2 + 24*p + 50. Let k be n(-22). Let w be k - (-6)\/(3 - 9). Solve 2*c - 10 = l, 3*c = 3*l + 4*c - w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:52 AM and 5:31 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-8)\/(-42))\/(33\/77).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 598 greater than or equal to 598?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*n - 4*n + 3*n)*(0 - 1 - 1)*(873 + 1594 - 3256) to v + o*n and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 655 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 4738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.45 + 2.55. Put 0.3, 2, -2, o in descending order.\nAnswer: o, 2, 0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*d + 12 - 4*d**2 + 10 - 12)*(8 + 2*d - 8).\nAnswer: -8*d**3 - 4*d**2 + 20*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z - 3 = -23. Let u be (1\/(-2))\/((-5)\/z). Let a be u\/3 - 132\/36. Put a, -3, -1\/10 in decreasing order.\nAnswer: -1\/10, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -9*a**4\/8 + 1911*a**3\/8 - 633*a**2\/2 = 0. What is a?\nAnswer: 0, 4\/3, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 3, l: 3, y: 1}. What is prob of picking 2 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*v = 4*j - 51, v - 92*j + 56 = -87*j for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (-12)\/16 - (-2 - -2)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(208) + 2 + -1)**2*1.\nAnswer: 8*sqrt(13) + 209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-2\/37))**19 assuming h is positive.\nAnswer: h**(-38\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0 (base 2) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*u = 114 - 410. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(-1\/12)*b**(-1\/5)\/b)\/((b\/(b**10\/b))\/((b*b**1\/b)\/b)) assuming b is positive.\nAnswer: b**(463\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + q - 8 = 0, -q = 2*m + 2*q - 15. Let c = 1993\/4 - 473. What is the common denominator of c and 14\/m*112\/(-64)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -165 + 496\/3. Which is the nearest to p? (a) -2\/11 (b) 0.126 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -51 = -46*w - 51 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 55, 114, 159, 184, 183, 150?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.0677 - 3.0677. Let s = 25\/28 + 1\/4. What is the closest to 2 in 3, s, v?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the second derivative of 3*t**5\/20 + 77*t**4\/12 - 9*t**3\/2 - 25*t**2\/2 - 48*t. Let d be c(-26). Is -1.1 at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*f + 0*f - f)*(-1 - 3 + 2) + (f + 3*f - 6*f)*(-32 - 9 + 22) to the form z*f + l and give z.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) be the third derivative of 13*b**5\/12 + b**4\/3 - 23*b**3\/6 + b**2 + 13. Is n(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 70 and 1890.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -2*t**2. Let c be (-25)\/(-9) - 4\/(-18). Suppose c*y - 96 = 45. Let r(z) = -z + 0*z + 47 - y. Calculate f(r(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 19 a factor of 7356171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -1117788, -1117746, -1117704?\n\"Answer: 42*j - 1117830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -1, -15 in descending order.\nAnswer: 5, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -402338, -1609368, -3621084, -6437486?\nAnswer: -10058574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 52*v**2 + 1. Let u(c) = 208*c**2 + 4. Let o(t) = 9*s(t) - 2*u(t). What is the remainder when o(-1) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 14*c**2 - 54*c - 21. Is i(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 4698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.013 - 307.\nAnswer: -307.013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 41 + -21. Let i = -19 - -5. What is the remainder when v is divided by (-4)\/i - (-235)\/35?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1130 + -1125. Solve -6*m + 3 = -y*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 3 (b) 253\/4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: (9 + -7)*(-40)\/(-64)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:35 PM and 8:38 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -1059*n**3*r + 6*n**3 + 88*n**2 wrt r?\nAnswer: -1059*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 + 0 - (10 + -14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 1201311012 (base 4) in base 16?\nAnswer: 61d46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = -u**2 - u. Let o(f) = f**2 + 2*f. Give o(v) + 5*x(v).\nAnswer: -4*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -45024388 and -3?\nAnswer: 135073164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2200 and 135000.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/14 + 15\/(-70)*(-43 - 19).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -10000033103 - 320?\nAnswer: -10000100023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from bbjqrqqrqrqbq. What is prob of picking 3 b?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**3 + 507*s**2 + 3501*s + 9. Give t(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Divide 350350 by 715.\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -13985*f - 2. Give g(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 - 2*y + 1)*(-3 + 0 + 5) - 2 + 2 + y + y - 1 + 1 - y + 3 - 3 + 4*y - y - 5*y)*((-3*y - 3*y + 4*y)*(0 - 3 - 2) - 2*y - 4*y + 3*y).\nAnswer: -35*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence js when two letters picked without replacement from syyjhhfyyjhhyjfh?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2556.4986us in minutes?\nAnswer: 0.00004260831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from dddddddddbdbddb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 394 minutes after 12:49 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17968420.\nAnswer: 2, 5, 898421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 4.1*0.05\nAnswer: 0.205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*n**4*o + 624*n**4 - 1044*n*o wrt n.\nAnswer: 24*n**2*o + 7488*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6960 + 556743\/80. What is the common denominator of b and 109\/310?\nAnswer: 2480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1431 + 1430. Put -7, -3, 2, b in ascending order.\nAnswer: -7, -3, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1495 - 10461 + 45)*(-4*d**3 - 3*d**3 + 6*d**3) to w*d + u*d**2 + b + g*d**3 and give g.\nAnswer: 8921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -14*z**2. Let u(g) be the third derivative of g**4\/24 - 11*g**2. Give w(u(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2434?\nAnswer: 2, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/8 - -2*(-605)\/(-88). What is the third derivative of 869*z**3 + 10*z**2 - g*z**2 - 29*z**2 - 943*z**3 wrt z?\nAnswer: -444","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3299\/2 + -1611. Calculate the common denominator of 37\/18 and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 748 at most -1425?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -230, -653, -1136, -1679, -2282, -2945?\nAnswer: -3668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 - (-6 + 6 + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -31\/70 and 69\/130.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*r - 167 - 3*r + 160 wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 546550 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -0.1+1302.540964\nAnswer: 1302.440964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17036, -19459, -23492, -29135, -36388, -45251?\nAnswer: -55724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m = 3516.3543 - 0.3543. Let d = 3513.094 - m. Let r = d + 2.9. What is r rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/(-45)*(-13 + 30\/(-15)). Let g(a) = a. Let b(r) = -4. Calculate h*b(c) - 6*g(c).\nAnswer: -6*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -9*h - 41. Suppose 10 = -3*v - 5. Let z be m(v). Let r be ((-16)\/24)\/(z\/6). What is the third biggest value in 3, r, 7\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p**2 - 5*p. Let q be j(-4). Suppose q*r + 9621 = 66173. Let o = r - -11862. What is o rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000007092274 rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/485 (b) 0.1 (c) 2\/7 (d) 0.9 (e) -0.1 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*q - 25 = -5*j, q = 4*j - 3*q + 20. Solve n = 5*h - j*h - 5, -2*n + 6 = -2*h for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (-42 - 1) + -39 + 68\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 63508.15 decades to centuries.\nAnswer: 6350.815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -12, 4, -31 in ascending order.\nAnswer: -31, -12, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -17633148 divided by -452132.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 8521391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-5)\/(-25) + 78\/(-15). Let f = z + 11\/2. What is the second smallest value in 3\/4, f, -0.7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 13\/4 - 23\/12. Let j(b) = b**3 + 6*b**2 + 3*b - 15. Let t be j(-5). What is the nearest to 1 in 3, t, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 122 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 104835949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/9? (a) 1 (b) 3 (c) 0.46 (d) -11\/26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:57 AM and 5:38 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 48566, 97110, 145654, 194198, 242742, 291286?\n\"Answer: 48544*s + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 6164 and 1932.\nAnswer: 129444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 580290 and 58029?\nAnswer: 580290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 81030.\nAnswer: 2, 3, 5, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) = -10 + 1 + 10 - f + 0. Let w(o) = 2. What is 4*m(h) - 2*w(h)?\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 49*r - 957 = -908 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 + 26 = 5*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 108 + -45. Suppose -2*b + n - 15 = 0. Calculate the highest common factor of 8 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes before 3:46 PM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 2*q**3 - 5*q**2 + 2*q. Let r be j(3). Let a = r - 11. Suppose -a*t - 1 = 5*p, -p = 2*p + 4*t + 7. Solve p*v + 6 = u - 2*u, -3*u - 2*v - 4 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 27 + -18 + -8 + 8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1099518 and 157074?\nAnswer: 1099518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*m**2 - 5*m**2 - 3*m**4 + 2*m**3 + 1013282 - 1013313 to the form v*m**2 + p + j*m + q*m**3 + o*m**4 and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 78215 is divided by 489?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 11*m + 2. Let f be 2\/(2\/(-3) - -1). Let j(n) = 2 + 0 + 7*n - 1 - 2*n. What is f*q(r) - 13*j(r)?\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) be the second derivative of -i**3\/3 - 3*i**2 + 5*i. Let a be h(-3). Solve -2*o - 5 + 13 = a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 681368 less than -2?\nAnswer: -681370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 166*u**5 + 117*u**4 + 494856*u wrt u?\nAnswer: 3320*u**3 + 1404*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 751 is divided by 94.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, -10\/13, -5, 0.05, 9?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -15434 + 55760 = -1551*i for i.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.100036 + 0.1. What is q rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 22 - (-26 + 58 - 24)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5 + 3. Let r = -152 + 148. Which is the closest to 0? (a) u (b) 2\/17 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ffpfpxxfwfxvu. What is prob of picking 1 f and 1 p?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g + 8 = -0. Let o = g - -2. Let h = 19 + 0. Calculate the remainder when h is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 3232.873um to centimeters.\nAnswer: 0.3232873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -6 - -10. Let w(o) = o - 2 + 4 - 4 + z. Let q be 2\/(-6) - (-14)\/(-3). Determine w(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -58*j + 1. Is t(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = -5*c + 4*d, -2*c = -3*c - 2*d. Suppose -5*a + c = -2*a. Suppose -355 = -a*s + 147. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 20 = -90. Let o = s - -24. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8369 - 8373.2. Let g = 0.3 - -0.1. Sort r, g, 1\/3 in descending order.\nAnswer: g, 1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - q - 2*q - 4 = 0, 0 = -4*o + 2*q + 12. Suppose -10 - o = 6*z. Let s(j) = j**3 + j**2 + 2*j + 2. Determine s(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -u**2*w**3 - 5*u**2*w + 69*u*w**3 + 226*u*w**2 + 4*w**3 wrt w?\nAnswer: -6*u**2 + 414*u + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(13) - (sqrt(13) + 3 + sqrt(13))*3) + (sqrt(78)\/(sqrt(18)\/sqrt(3)) - sqrt(13))**2.\nAnswer: -5*sqrt(13) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9613 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes before 1:17 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) -3\/8 (b) 5.06 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 370 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 266805*o**3 + 490971635*o**2 + 38256315*o + 745245.\nAnswer: 5*(9*o + 16561)*(77*o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 3826 (base 9) to base 4\nAnswer: 230223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7575 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -b8b28 - 2b?\nAnswer: -b8b55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jcycjhyhyyyhyycjy. What is prob of picking 3 y?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 34189976 divided by -17094988?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -108\/11, -0.8, 33, 0.7 in decreasing order.\nAnswer: 33, 0.7, -0.8, -108\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -14956131*m**2 - 44868390*m + 9.\nAnswer: -3*(m + 3)*(4985377*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be 5 - (-15)\/(-5) - -28*1. Suppose -3*p + 45 = u. Solve 0 = 5*d - 6*m + p*m + 10, 4*m - 24 = 4*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 217603?\nAnswer: 23, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 65*f + 9155 - 7465 for f.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 6) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 176 - 159. Solve -8 = -5*s + y for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 221895 or 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1824 and 456?\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2 + (-2 - (-6)\/(-4)))*(-127730)\/114957.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 101100011100001111 (base 2) to base 15.\nAnswer: 38e06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be 28\/(-56)*(-1)\/(1\/(-164)). Let k be (-4)\/(-8) + 1658\/(-20). Let i = h - k. Put -5\/4, -3\/2, i in descending order.\nAnswer: i, -5\/4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**2 - 11*v - 6. Let r be i(-10). Which is the second biggest value? (a) 1\/6 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (-10*4\/(-140))\/((-5624)\/(-24605))\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -19\/496516 and 9\/24580.\nAnswer: 2482580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -j**5 - 3898*j**4 - 1818956*j**3 + 4267339432*j**2 - 17047405440*j + 17040067200 = 0.\nAnswer: -2340, 2, 778","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1162 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t - 14 = 3*t + 5*q, -5*q - 28 = -4*t. Let s = -7 + 10. Calculate the greatest common divisor of s and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in -1, -0.8, 4\/5, -9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -35486 - -5713240\/161. Is l at least 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (1 - (0 - -2)) + 3. Let k be y\/6 + (-8)\/12. Suppose 8*n = -3*n + 33. Which is the smallest value? (a) n (b) -4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**3 + 119*t**2 - 796*t - 52476. What is j(-122)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 5, b: 4, e: 5, s: 1}. Give prob of sequence eeb.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*w**2 + 9 + 4*w - 7 - 9*w**2 - w to q*w**2 + n*w + z and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (175 - 200) + (-6 - -44)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0\/1)\/((-8)\/96*12).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose p = -5*i + 2*p + 9093, 2*i - 5*p = 3628. Suppose 2*w - i = 91. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((16520\/177)\/28)\/(-4*(-2)\/60).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5844871 centuries to decades.\nAnswer: 5.844871","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) 1\/3 (c) 3 (d) 566 (e) 2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) be the third derivative of -50*u**2 + 1\/150*u**5 + 0*u - 1\/30*u**4 + 0 + 1\/15*u**3. What is p in g(p) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 171 minutes after 1:28 PM?\nAnswer: 4:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r = 9401.11 - 9401. Let p be ((-2)\/(-14))\/(1 - 2). Suppose j - 4*h - 17 = -2*j, 0 = -5*j - h - 10. Which is the nearest to j? (a) r (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 250.2235 days to hours.\nAnswer: 6005.364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (1*(2*sqrt(1280) - sqrt(1280)) + sqrt(1280))\/(2*sqrt(256) - -2*sqrt(4)*2).\nAnswer: 4*sqrt(5)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -15519*s**2 + 14473 wrt s.\nAnswer: -31038*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -410373, -410382, -410385, -410382, -410373, -410358, -410337?\n\"Answer: 3*f**2 - 18*f - 410358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1374314284?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 5*x + 70 = 0. What is the highest common factor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -140 - 71 = -t. Let d = -44 + t. Suppose -11 = 4*q - d. Calculate the greatest common divisor of 13 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + 3*m + 4*j - 12 = 0, -15 = 3*m - 5*j. Suppose m = -0*r - r + 18. Suppose r = -4*n - 0*n - 2*h, 21 = -n + 5*h. Let c(g) = -2*g - 4. What is c(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1172032767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*t - 4*t + t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-20 + 36 - 12)*(-3*d + 2*d - d) - 3*d + 7*d + 8*d)*(3*d - 3*d + d**3).\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -42344, -84611, -126798, -168905, -210932, -252879, -294746?\n\"Answer: 40*u**2 - 42387*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 15\/(-6) + (-416)\/273 and 20\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f**2 + 16*f - 153. Calculate g(-24).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -80*k = -75*k - 4*q - 37, 5*q = -5*k + 55 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 a and 1 w when two letters picked without replacement from {a: 6, r: 3, s: 4, f: 1, w: 2, k: 2}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1*(-3)\/9*3. Which is greater: v or 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 117 and 74349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = -3 + 4. Let u be 427\/49 + -9 - (1 + (-11)\/14). Which is the nearest to u? (a) 0.4 (b) v (c) -0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -5, 2\/28701, -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*q**3 - 7088*q**2 + 21316*q + 28400.\nAnswer: -4*(q - 4)*(q + 1)*(q + 1775)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 6\/195*64\/(-4)*(-35)\/560.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 29853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 86\/(-172)*(-4)\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 15.1 - 0.5. Let k = -0.23 + 15.23. Let p = k - w. What is the closest to 0.1 in 4, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 91\/495 and -61\/9900.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:02 AM and 6:09 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 863a + -1?\nAnswer: 8639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l = 14.709 - 36.8. Is -1\/2 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1797161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -366490300 to the nearest one hundred thousand.\nAnswer: -366500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v = 616 + -612. Solve l + 4*i = v, -1 = 2*l - i - 0*i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 44996575 and -4221.\nAnswer: 44992354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = 2*k - 16, 2*k - n = 3*k - 14. Let d be (1 + (-18)\/k)*(1 - 6). Suppose r = -d, p = r - 0*r + 461. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 780607 and 11938977.\nAnswer: 4789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 472 and 378662?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose r - 4*n - 30186 = 0, -3044*r + 3048*r - 2*n = 120856. Does 54 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*s**3 + 36*s**2 + 33*s.\nAnswer: 3*s*(s + 1)*(s + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:41 PM and 8:23 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 2.2*0.040302\nAnswer: 0.0886644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) = -p**3 + 2*p**2 + 5*p - 4. Let r be b(3). Let m = r + -1. Find a such that -2*a**4 - 4*a - 2*a**3 + m + 3 - 15*a**2 + 7*a**4 = 0.\nAnswer: -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that -50*q**5\/13 - 218*q**4\/13 + 92*q**3 + 1904*q**2\/13 = 0.\nAnswer: -7, -34\/25, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*f = -3*j - 366 + 358, 7*f + 3*j + 14 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5.75 - 5.95. Let y be (-2)\/(-5)*5\/6. What is the closest to 1 in 1, y, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2 + 3. Let i = r + -1.1. Let t = 121 - 125. Put t, i, -2\/5 in ascending order.\nAnswer: t, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 73 + -44. Suppose 3*t = -2*z - c, 4*t - 6 = 4*z - 18. Let o(s) = s**3 + 6*s**2 - 7*s + 4. Let a be o(t). Sort a, -4, -2\/7 in descending order.\nAnswer: a, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 3\/123098 or 0?\nAnswer: 3\/123098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -81854467, -163708890, -245563299, -327417688, -409272051, -491126382, -572980675?\nAnswer: -654834924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -35348.2? (a) -4 (b) -0.3 (c) -0.2 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.4 - -0.3. Let x = h + 0.3. Let m be 2 + (-14)\/3 - -4. Which is the third biggest value? (a) m (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -1172, -5139, -11838, -21275, -33456, -48387, -66074, -86523?\n\"Answer: -u**3 - 1360*u**2 + 120*u + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2118602207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -363*i + 467*i - 881920. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -4*t**3 + t**2 - 4*t + 2. Determine w(-3).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00341465008 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rvvlhuv. What is prob of sequence vl?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 2 divide 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2676176?\nAnswer: 2, 167261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (198\/(-12))\/(123\/164) - 7?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -45 + 65*p**2 + 3*p + 6 + 2*p + 78*p**2 - 20*p**2. Is c(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4 + -1. Factor f**2 - 2*f + 2*f**2 + 4*f + f**2 + 2*f**p.\nAnswer: 2*f*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 + (-342)\/(-66) + -3*119\/(-33)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:01 AM and 12:06 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c = -81.1 + 163.1. Which is greater: 2.8 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(z) = 5*z**2 - 17*z + 4. Calculate s(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -1684584300 to the nearest one million.\nAnswer: -1685000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = 5*q**2 - 14*q + 2. Calculate g(6).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -76786*p*s**3 + 2*p*s**2 + 2*p*s - 18*p + 86 wrt s?\nAnswer: -460716*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t = -3 - 5. Let z(d) = -d - 3*d - t*d. Let o(i) = -7*i + 3*i + 3*i + 5*i - i. What is o(z(g))?\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 15169 by 197.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000854627 rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 134436 to the power of 1\/2, to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -16*m - 8710 + 8710. Let p(g) = 17*g**2. Give z(p(u)).\nAnswer: -272*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*z + 47*x - 51*x + 25, 4*x - 20 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-10)\/(-165))\/((-10)\/15). Let b = 8.137 - -0.163. Let t = -8 + b. What is the closest to 1 in t, 3, u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find u such that -u**3 + 26797*u**2 - 176274720*u - 43673981436 = 0.\nAnswer: -239, 13518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -125f21 (base 16) to base 11\nAnswer: -752647","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 46 - 40. Suppose -l*t - 256 = -10*t. Does 32 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -308*z + 110*z - 792. Sort 3, 52, z, -2, -5 in increasing order.\nAnswer: -5, z, -2, 3, 52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = 2*o**2 + 31*o - 6. Let s be b(-15). Suppose -4*i = -7*i + 75. Let w = i + s. Solve -3*t - t + w = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + i = -11, 2*i + 12 = a - 4*a. Let q = 1 - a. Solve 4*n - n + 2*x = 2, 0 = q*n - 3*x - 27 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 6\/11, 2, 20 in descending order.\nAnswer: 20, 4, 2, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-70)\/(-15) + -6)\/((-4)\/(-6)). Calculate the smallest common multiple of 24 and ((-7)\/(-2))\/(-7)*c - -11.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -6, 0.05, -13, -5, -0.4, -0.09, -0.1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = 38 + -8. Let n be ((-150)\/(-20))\/(2\/12). What is the greatest common factor of j and n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 1331 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -33061.5718 rounded to the nearest 1000?\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) be the third derivative of 0*m + 0*m**5 - 1\/12*m**4 + 3*m**2 - 1\/6*m**3 + 1\/120*m**6 + 0. List the prime factors of a(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*s - 3*t + 2*t + 34, -17 = s - 2*t. Let y = -12 - s. Solve y*n = -g - 28, g = -3*n - 0*n - 18 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 40086 or -3\/13?\nAnswer: 40086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor 5043*a**3\/8 + 123*a**2\/2 + 3*a\/2.\nAnswer: 3*a*(41*a + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is next in 14324, 28329, 42334, 56339, 70344?\nAnswer: 84349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(r) be the third derivative of -3*r**8\/112 - r**7\/14 + r**6\/10 + r**5\/5 - r**2 - 24. Find v, given that i(v) = 0.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 1*(3 + 0 + 98). Suppose -33*o + 1388 - f = 0. Is 40 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-3)\/(-45) + 0\/1. Let z(f) be the second derivative of 0 + 3\/10*f**5 + 0*f**2 - 1\/2*f**4 - o*f**6 + 1\/3*f**3 + 2*f. Factor z(y).\nAnswer: -2*y*(y - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 144 minutes before 2:33 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 213022352 + -52?\nAnswer: 213022300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*f + 4*x + 12, 2*f + x - 6*x - 24 = 0. Let m = f + 0. What is the third derivative of -g**3 + 46 - 46 + 3*g**m wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 1.644 and -20138.\nAnswer: -33106.872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 105 and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 6, o: 3, x: 3, p: 2, n: 3}. Give prob of sequence op.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = 9*v + 5. Let n(z) = -2*z - 1. Let c(d) = 26*n(d) + 6*x(d). Let o = 1 + -2. Let b = o - 2. What is c(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = 0*q**2 - 4*q**2 - 3*q**2. Let y(c) = 99*c**2 + 6*c. Let u(p) = 116*p**2 + 7*p. Let k(v) = -6*u(v) + 7*y(v). Calculate k(h(x)).\nAnswer: -147*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -2447 and -12805950002?\nAnswer: 12805947555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -b81 + 189?\nAnswer: -9b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let 24*j**5 - 581474*j**4 + 3522605784*j**3 - 7336916780*j**2 + 4108341984*j - 293449538 = 0. What is j?\nAnswer: 1\/12, 1, 12113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -3*c**2. Let u(j) = 5666709*j. Calculate a(u(i)).\nAnswer: -96334772672043*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express 45082970*v**3 - 45082967*v**3 + 2*v + 178 + 2*v**2 - v as g*v**2 + c*v**3 + d + a*v and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 41555 (base 6) in base 14?\nAnswer: 2091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) be the first derivative of -a**4\/4 - 10*a**3\/3 - a**2\/2 + a + 14. Calculate the remainder when 28 is divided by n(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -273 at most 1908?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 4828255 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2895?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 28\/695 and 59\/225?\nAnswer: 31275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1 - 0. Let m = 1.2 + l. Let p be -2*(-1)\/(-2) - 2. Which is the closest to 2\/7? (a) 2 (b) p (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (14 - 7 - (5 - 1)) + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g**2 - g. Let v be j(-1). Let k(z) be the second derivative of 2*z**5\/5 - z**4\/3 + z**3\/3 + z**2\/2 - 2*z. Does 22 divide k(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -3*a. Let b(g) = -95*g. Determine b(o(l)).\nAnswer: 285*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1362826 and 224?\nAnswer: 152636512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -183 - -1279\/7. Let y = -45 + -148. Let f = -193.5 - y. Which is the nearest to 3? (a) -2 (b) g (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v*v\/(v**0*v)*v)**(-28\/5)*v**(2\/31)*(v**(-6)*v)\/v assuming v is positive.\nAnswer: v**(-2656\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 35 and (60 - -880)\/(6\/18)?\nAnswer: 19740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39593977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - -4. Let u(s) = -2*s**2 + 2*s + 2. Let b be u(q). Let z be -1200*((-7482)\/9 + b). Round z to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -34 + 70. Find the common denominator of 2\/(-12) - (-634)\/132 and 20*((-82)\/u - -2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 64145 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 9512273 and 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqqqqqzzzdqzz. What is prob of picking 3 z?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 907859.4ns?\nAnswer: 0.9078594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 342 times -1773502\nAnswer: -606537684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*j - 16 = 6*j. Suppose 3*b + 4*h - 4053 = 5*h, 0 = -j*b - 2*h + 5404. Is -4*(-4)\/(-4) + b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = -1590952*f - 5656. Let u(j) = 844*j + 3. Calculate -5656*u(w) - 3*y(w).\nAnswer: -808*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1\/2? (a) 20 (b) -6 (c) 0.5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 51 and 9231?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (342\/(-1596))\/(6\/(-7)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*j + 3*j + 0*j)*(0*j - 4*j + 3*j)*(46 - 54 + 176)*(4*j + j - 3*j).\nAnswer: 336*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*i**2 + 3*i**2 + 5*i**2)*(-2*i**3 + 8*i**3 + 29*i**3 - 2).\nAnswer: 175*i**5 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let x = 154 + -221. Let c = 61.9 + x. Let v = c + 1.1. What is the nearest to -2 in 4\/3, -0.5, v?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) be the first derivative of 10*i**3\/13 + 17*i**2\/13 + 4*i\/13 + 9. Determine f, given that g(f) = 0.\nAnswer: -1, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 5 and -278.69575?\nAnswer: 283.69575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2)\/(-8)*(-10 + (-730)\/(-75))?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-1)\/(-2))\/((-1)\/22). Let p = -25 - -12. Let o = k - p. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -11.1 + -0.096?\nAnswer: -11.196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -37662 = -22*s + 22376. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = 4*g**3 - g**2 - 6*g + 8. Let h = -16 - -10. Let j(s) = -5*s**2 - 112*s - 7 + 6*s**2 + 52*s - 4*s**3 + 65*s. What is h*j(i) - 5*c(i)?\nAnswer: 4*i**3 - i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 211686 - -0.2374979\nAnswer: 211686.2374979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1236012 and 7004068.\nAnswer: 21012204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -340 and -25228?\nAnswer: 8577520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21*p - 17*p - 84 = 0. What is the smallest value in -2\/15, 1\/9, p?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45 = 14*i - 19*i. Suppose 189 = -i*q + 1053. Suppose 7*b - 4*a = 5*b + q, -a = -b + 49. Is 50 less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -56011\/14 - -3996. Let h = -28711\/4525 - -19\/181. Let c = h + 1971\/400. What is the common denominator of c and p?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 3, 5.\nAnswer: 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = 2*f**2 + 7*f - 6. Calculate the remainder when 20 is divided by a(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 406\/1260 - 1\/10. Which is the nearest to 1? (a) w (b) 9 (c) -3\/5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2 - -2. Suppose 0*o = -o + 4, g = 4*k + 5*o - 20. Suppose 0 = -5*r - k*r + 70. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - 2) + 5 + 1 + (9 - 19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:50 PM and 12:03 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m**3 - 3*m - 2. Let f(l) = -3*l - 12. Let i be f(-5). Let r be u(i). Suppose r = 5*p - 44. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -131 + 113. Let d be (4 + 1027774)*w - -4. What is d rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c + 6 = 0, 3*b - 2*c - 95 = 169. Suppose 3*p - d + b = 0, -d - 30 = -p + 2*p. Let w(r) = 12*r - 15. Let n(s) = s - 1. What is p*n(u) + 2*w(u)?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/4, -3, 12, 0 in decreasing order.\nAnswer: 12, 0, -3\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -i**3 + 53*i + 75111 - 75109 + 73*i - 3*i**4 wrt i.\nAnswer: -36*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -2.2 - -2. Let y = -0.2 - x. Let w = 1\/266 + -269\/798. Which is the second smallest value? (a) w (b) y (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence mms when three letters picked without replacement from sssmmsmsmsmsss.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = -3 + c - 1 + 0*c. Suppose -2*v + 6 = -10. Let h be p(v). Solve b = -l, -5*b + 2 = -h*b - l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 546778.5mm to micrometers.\nAnswer: 546778500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -39*c - 151 - 168*c + 165 + 35*c in the form m + q*c and give q.\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 132 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -11 - -1. Let y = -7 - k. Let o = 2 - y. Which is the closest to o? (a) -2\/11 (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 5497 + -2276. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x - 7 = -p, 40*x = 45*x - 5*p + 20 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 25 + -20. Let q = 6 + -3. Solve 0 = -0*n - n + r*t - 15, -5*t = q*n - 15 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0 > 177\/7099?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w - 11*w = -72 + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 1011010011 (base 2) to base 12\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 126990?\nAnswer: 2, 3, 5, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b be (84\/56)\/((-2)\/(-12)). Solve 5*f + 12 = b*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(84)\/(sqrt(21)\/(sqrt(28) + sqrt(7)) - sqrt(3))*-5 - (-2*sqrt(168)*1)\/(sqrt(6) - (sqrt(18)\/(sqrt(12)\/sqrt(4)) + sqrt(6))).\nAnswer: 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 b when two letters picked without replacement from hijhbuf.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jvj when three letters picked without replacement from yrvjjyq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 563*b**2 + 696*b.\nAnswer: 1126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 116455, 232993, 349531, 466069, 582607, 699145?\nAnswer: 815683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-322)\/23 - ((-260)\/16 - -1). Factor -m + c**3 - c + 3\/2*c**2 - 1\/4*c**4.\nAnswer: -(c - 5)*(c - 1)*(c + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1039578*r**5 + r + 53255?\nAnswer: -20791560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o be 290\/4*(-120)\/(-50). Calculate the greatest common factor of 638 and o.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -16 - -17. What is the nearest to 0.1 in 2, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 69*76\/4 + -5.\nAnswer: 2, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {s: 2, r: 10, u: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v = 11.4384472 + -552.4469372. Let o = 541 + v. Round o to 4 dps.\nAnswer: -0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ccefefsercrefhefrher. Give prob of picking 1 h and 3 f.\nAnswer: 8\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 1005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t*t\/((t\/t**(-3)*t*t*t*t*t*t)\/t))**(-1\/21))**17 assuming t is positive.\nAnswer: t**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 632, 1202, 1866, 2630, 3500, 4482, 5582?\nAnswer: 6806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = 3213*p + 4150. Is r(29) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -5*s**2 - 8*s**2 - 4*s**2 + s**2 + 19*s**2 + s + 1. Let j be 1\/3 - 2\/6. Suppose -5*b + a - 2 = j, -4*b - 4*a = -2*a + 10. Determine w(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = c**3 + 14*c**2 - 3*c - 28. Let a be i(-14). Is (-1 - 0)*9974*(-7)\/a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*m + 1 - 1 + 5*m**2 + (2 - 4 + 4)*(5*m**2 - m**2 - m**2) - 4*m**2 - 2*m**2 + m**2 + (5 + 1 - 4)*(2 - 2*m**2 - 2).\nAnswer: 2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -0.08, -5, 8, -2 in descending order.\nAnswer: 8, -0.08, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00000613743012 rounded to seven dps?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + (4 - 4) - -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = t**3 - 4*t**2 - 4*t + 1. Suppose v + z = 9, 4*v - 2*z = -0 + 60. Suppose -3*k - v = -0*n - 5*n, 1 = -3*n + 4*k. Give r(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 546674669.\nAnswer: 19, 28772351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(h) = -2*h - 13. Let y(n) = n. Give s(f) + 4*y(f).\nAnswer: 2*f - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 27886 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: (-68 - -40) + (-35 - -7) + 7 + (0 - -6)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 91?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence fff when three letters picked without replacement from {n: 8, f: 3}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6\/((-7)\/((-28)\/6)). Factor 11*q**a + 0*q**5 + q**5 - 11*q**3 - 36*q**2 + 35*q**3.\nAnswer: q**2*(q - 1)*(q + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3 - 4 + 17*r - 23*r - 2*r - 3*r + 4*r + 2*r - 4*r + r + (-3 - 3*r + 3)*(-2 + 4 - 1).\nAnswer: -11*r - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = 8 + -3. Find the third derivative of -l**5 + 2*l**2 + 3*l**h - 4*l**5 + 3*l**5 wrt l.\nAnswer: 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1446152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 56362 + 5?\nAnswer: 56367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -37 + 33. Let t be ((-2)\/q)\/((-1)\/(-98)). Suppose 3 = x, 0 = 2*a - 2*x - x - t. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 3289 and -0.1163?\nAnswer: -382.5107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be 12\/18 - 3\/((-45)\/(-340)). Is w > -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0084948 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = 107 - -69. Is l bigger than 1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -175 = 5*a - 3*f + 68, a = 5*f - 53. Let n be a\/(-22) + 8\/(-4). What is the smallest value in 0.5, n, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8701966.35s in weeks?\nAnswer: 14.388171875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -2323 - -10132?\nAnswer: 1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = b**3 - 3*b**2 + 2*b + 2. Let c be u(2). Suppose 14*s + 21*s = 0. Let m be 14\/6 + (s - c). Is m smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j**3 - j**2 + 3*j + 3. Let h be 25\/5 + -1 + -2. Suppose -h*n - 12 = n. Calculate the remainder when v(n) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*y = 13*y - 175. What is the remainder when 188 is divided by (y + -4)*(0 - -7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 6 + 11416632?\nAnswer: 11416641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(-6)*n**4)**(-27)\/(n**(-2)\/((n**(1\/5)\/n)\/n))**(-28) assuming n is positive.\nAnswer: n**(242\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 258159 and 45144.\nAnswer: 353161512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = 5*t - 4*r, -2*r = 7 - 3. Let b(v) = 12*v + 30. Calculate b(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.4 and 22.6345.\nAnswer: 22.2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 6084159625?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 257343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 917133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 114 + -1?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 90\/(-60)*42\/9?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 53*k - 32*k - 504 = 0. What is the remainder when k is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + 30 + (27 - 50).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(112) + -1)**2.\nAnswer: -8*sqrt(7) + 113","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = 3*t - 1. Let p be a(-2). Let j = 3 - p. Is (-132)\/(-5) + (-4)\/j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = d + 40, -2*w - 2*d + 8 = -12. Suppose 0*x + 48 = x - 3*q, 2*q = -w. What is the lowest common multiple of 24 and x?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -62 = -3*q - 2*b, 0 = 3*q - 2*b - 43 - 27. Let f = 13 - -71. What is the remainder when f is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4.8 + 4.6. What is the closest to 43 in -2, k, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: (11 - 12) + (0 - -1) + -1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1763\/4108 - 21\/52. Let v = -89\/395 + b. Let g(f) = -f**2 - 5*f + 1. Let c be g(-5). Which is bigger: c or v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 3 x when four letters picked without replacement from {h: 2, p: 1, d: 2, a: 1, u: 5, x: 5}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00008224 to 6 decimal places.\nAnswer: 0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -71\/151768 and 91\/12?\nAnswer: 455304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 4504322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 2, z: 1}. What is prob of picking 1 z and 1 g?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(88) - (sqrt(88)*1 + sqrt(88)))\/sqrt(2).\nAnswer: -2*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*((sqrt(216) - sqrt(6))\/sqrt(3))**2.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 78*g*p**2*w**2 - 2*g*p**2*w - g*p**2 + 38*p wrt w.\nAnswer: 156*g*p**2*w - 2*g*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 123029953 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 5, g: 1, m: 1, a: 1, k: 2, f: 3}. What is prob of picking 1 k, 1 v, and 1 g?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-2\/9))**(3\/19)\/((x\/x**(-13)*x)\/x**(3\/4)))**(-1\/35) assuming x is positive.\nAnswer: x**(3257\/7980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-12)\/355*25\/10. Let u = c + 256\/1349. Solve u + 10\/19*v + 8\/19*v**2 = 0.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -11217, -4302, 2613, 9528, 16443?\n\"Answer: 6915*g - 18132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 654*g - 132 = 63*g + 17 + 442 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -2 + -3 + 7 + 5 + 3 - (70 - 81)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = 418 - 417.98. Which is the nearest to -0.1? (a) 2\/3 (b) q (c) 4 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from otttaottoabttbatttab. What is prob of sequence ottb?\nAnswer: 9\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m**2 - 2*m - 2 + 1 + 3*m**2. Let y(j) = -2*j**2 - 26*j - 1. Let x be y(-13). Calculate t(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -34 = -4*n - 30*s + 32*s, 3*n = -s - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -476, -385, -294, -203, -112?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -23307.54666 rounded to the nearest ten?\nAnswer: -23310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Put 28\/19, -96, 5, -4 in increasing order.\nAnswer: -96, -4, 28\/19, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -2*d - 35. Let p be s(-20). Let b(i) = -i + 3. What is b(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -23*p - 22 + 68 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-12)\/(-204))\/(260\/340).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 1539070*f**6*g + f**3*g + 12*f**2*g - 2*f**2 + 10*f*g + 565 wrt f.\nAnswer: 184688400*f**3*g + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-451*h - 6*h**2 - 1 + 451*h)*(-2 + 1 + 2) + (1 + 0 - 2)*(0*h**2 + 4*h**2 - 3*h**2).\nAnswer: -7*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sum 4.0095 and 487889.\nAnswer: 487893.0095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j = 5*j - 36. Suppose s + 7*y = 3*y - 112, -360 = 3*s + j*y. Let r = s - -212. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -179402 divided by 4\nAnswer: -89701\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 16\/357 and -83\/1953?\nAnswer: 33201","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is a + -12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 128\/7 - (-188)\/(-658)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2\/61 - 100\/671. Which is the second biggest value? (a) g (b) 5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -221 + 25927*n - 25950*n + 221.\nAnswer: -23*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 5 = -3*z, -z = -2*b - 0*z + 9. Suppose 4*n - 2*f = 27194, 3*n - 5*n + b*f = -13594. Round n to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 11, a: 1, y: 2, r: 2}. What is prob of picking 1 a and 1 k?\nAnswer: 11\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = 64*u - 758. Calculate c(11).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6 - -12. Let c(d) = 3*d**3 + 4*d**2 + 2*d**2 + 7 - 4*d**3 - x*d. Determine c(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -z**3 - 16*z**2 + 218*z - 390. Calculate f(7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*l + 60*l + 2457 = -117*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = -0*a + 8. Let s(c) = -c**3 - c**2 + 2*c + 3. Let k be s(-2). Solve k*l - 1 - a = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gcc when three letters picked without replacement from ctcogtgtocggcgmgogm?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/35 in 0.09, 0.3, 1\/2, -4, -19?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-6)*-2*(-870)\/(-1914)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) be the third derivative of z**5\/10 - 19*z**4\/24 - 5*z**2. Find the second derivative of w(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(2*3*(-3)\/6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 48c + -50?\nAnswer: 43c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -122*u = -126*u + 10200. What is u rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-o + 4*o - 2*o)*((2 + 0 + 0)*(2*o + 2 - 2) + o - 2 + 2 - 1 + 2*o + 1 + 2*o - 3 + 3 - 7*o + 4*o + o + (3*o - 3*o - 13*o)*(2 + 2 - 3)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put -48, 0, 5, -39875 in ascending order.\nAnswer: -39875, -48, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-500)\/400*1\/(-10).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*j + 30*j**2 + 9*j.\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -4\/73, 13, -25 in descending order.\nAnswer: 13, -4\/73, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*q**2 - 35012*q + 420720.\nAnswer: -4*(q - 12)*(q + 8765)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 13262881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j = -35 + 35. Let h(m) = m - 5. Let t be h(j). Sort t, -2, -4.\nAnswer: t, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -108855000 rounded to the nearest 1000000?\nAnswer: -109000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18 divided by 4530.\nAnswer: 3\/755","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -a**3 - 3*a**2 + 53*a - 140. Determine o(8).\nAnswer: -420","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 231503, 463005, 694509, 926015, 1157523?\n\"Answer: n**2 + 231499*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 293 + -289. Suppose r + 2*q = -0*q + 673, -683 = -r - j*q. What are the prime factors of r?\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*(sqrt(720) + -1*sqrt(720)*4) - (-4 + (sqrt(720)*-4 - sqrt(720)))*4) + -2)**2.\nAnswer: 1680*sqrt(5) + 18196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c*c*c*c**3\/c)\/(c**0*c)*(c**(2\/3)*c)\/(c**(-6\/5)\/c))**(2\/13) assuming c is positive.\nAnswer: c**(266\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -b - 2. Let z be g(-13). Let l(c) = 10 - 4 - 6 - 8 + 9*c**2 + 3 - c**2 - 7*c. Let r(o) = -8 - 6*o + 15*o**2 - 7*o - 1. Calculate z*l(h) - 6*r(h).\nAnswer: -2*h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let z = -976 - -976.24. Which is greater: z or -7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 104 - 73. Let w = -328 + 2038. Let c = w + -1496. What is the remainder when c is divided by l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q = -2*b - 9, -8*q + 3*q + 1 = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -2, 2, -7, -374, 1, 9.\nAnswer: -374, -7, -2, 1, 2, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = -7*d - 3. Let g be a(-5). Suppose g = r + r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -9*l**2 + 4*l**2 + 8*l**2 + 19*l**2 + 29 - 20 in the form f*l + z + j*l**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**3 - 7*v**2 - 7*v - 5. Let s = -12 - -20. Let h be w(s). Solve -p = -h*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 51895949?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2 + 1. Factor 2\/11*p + 4\/11*p**2 + 2\/11*p**b + 0.\nAnswer: 2*p*(p + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.001856438 to six decimal places.\nAnswer: 0.001856","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 66501 is divided by 136?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the second derivative of -17*n**3\/6 + 10*n**2 + 2*n. Does 39 divide w(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 234683 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -4*s - s, 4*s + 49 = m. Let p be 4 + (86\/(-10) - m\/(-75)). What is the remainder when 3*((-6)\/(-27))\/(p\/(-174)) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from lkkkkkkk. Give prob of sequence llkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 22, 19, 16, 13, 10, 7?\n\"Answer: -3*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d**3 + 14*d**2 - 13*d + 4. What are the prime factors of k(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/(-2))\/(-2*(-2)\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: -106 + 17 + 41 + 56\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gwwdydnrdrdrgdw. Give prob of picking 1 w and 1 g.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be (14 - 0)\/(3 + -2). Let x = c - 8. Let k(u) = 2809*u - 38. Let q(p) = 351*p - 4. Let i(d) = -k(d) + 8*q(d). What is i(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 155032305 and 45?\nAnswer: 465096915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 5, j: 4, w: 10}. Give prob of sequence wwwo.\nAnswer: 25\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is (-19320 + -2)*(-4)\/(-8)*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = r**3 - 5*r**2 - 26*r + 26. Let y be q(10). Let i = 213 + -300. Let h = y - i. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 8*x + 5480. Let n(s) = -s**2. Calculate r(n(f)).\nAnswer: -8*f**2 + 5480","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = -83 - -108. What is the remainder when 313 is divided by s\/10 - 2 - (-29)\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 0.87915ml?\nAnswer: 0.00087915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -55 (b) 186 (c) 4 (d) 0.2 (e) 1\/3 (f) -3 (g) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) be the second derivative of 5*z**3\/2 + 4*z. Let y be l(5). Suppose -3*s = -c - 5 - 88, -3*s + y = 5*c. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/8*(-124)\/31. Put 11, v, -6 in increasing order.\nAnswer: -6, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 401*a + 372*a - 913*a + 616*a in the form u*a + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:45 PM and 8:56 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2\/(-6) + (-7)\/(-3). Suppose -r*x + 8 = -0*x. What is the second derivative of a**2 + a + a**x - a**2 wrt a?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -912 or -743?\nAnswer: -912","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = -49 - 147. Let h = 1593 + -12815\/8. Find the common denominator of 3\/(-12)*u\/(-2) and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -154 - -166 - (-5 + -8).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:56 PM and 5:42 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -200, -941, -2520, -5225, -9344, -15165, -22976, -33065?\n\"Answer: -48*i**3 - 131*i**2 - 12*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -281619 divided by 13.\nAnswer: -21663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 194*a**3*o**3*w*z - 38*a**3*w*z - 15*a**2*o**3*w*z - a**2*o**2 + 24*a**2*w*z - 6*a**2 - 6*w wrt a?\nAnswer: 1164*o**3*w*z - 228*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 3*i**2 + 1. Let o be l(1). Solve y + 9 = o*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 7, y: 3}. What is prob of picking 3 l?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + v = 12, -t + 343*v - 339*v - 23 = 0. Solve -t*c = -j + 23, -3*j - 12 = c - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 2, l: 2, i: 4, w: 2, a: 1, c: 1}. What is prob of sequence wlrc?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(m) be the second derivative of -7*m**4\/6 + 2*m**3\/3 - 3*m**2\/2 - 583*m. Determine j(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -3*f. Let w(c) be the third derivative of 0*c**4 + 5*c**2 + 0*c**3 + 0*c + 1\/60*c**5 + 1. Give s(w(u)).\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2\/(-40) - (-1)\/4. Suppose 2*u + 0*w - 8 = 2*w, 0 = -5*w - 20. Suppose u = -5*l - 1 + 6. Sort y, l, 2 in ascending order.\nAnswer: y, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 32200197, 32200198, 32200199, 32200200, 32200201, 32200202?\nAnswer: 32200203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 1598*x**3 - 5*x**2 - 15*x - 3068. Let w(k) = -1597*k**3 + 6*k**2 + 20*k + 3066. Let n(s) = -4*m(s) - 3*w(s). Differentiate n(p) wrt p.\nAnswer: -4803*p**2 + 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 10768, 12273, 14782, 18295, 22812?\n\"Answer: 502*h**2 - h + 10267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express 1296*t**3 - 2*t**2 - 145*t - 134*t - 135*t + 411*t in the form m + v*t**3 + b*t**2 + x*t and give v.\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -11*c**3 - 8*c**2 - 38*c - 3. Let d(b) = -4*b**3 - 3*b**2 - 13*b - 1. Calculate -8*d(m) + 3*x(m).\nAnswer: -m**3 - 10*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a**3 + 6*a**2 - 3*a - 10. Let y be i(-6). Suppose 7*c + 2*r = 5*c + y, 5*c - r = -4. Suppose -5*t + 1784 + 651 = c. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -100002 - 10122020?\nAnswer: -10222022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4546*a**3*i**3 - 39*a**3*i**2 - a**2*i**2 + 2*a*i wrt i?\nAnswer: 27276*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yyaqbqqapbrb. Give prob of sequence rpq.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 258073 = -5*p, -53*p + 3*n - 51637 = -54*p. What is the ten thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 34916 by 1.\nAnswer: 34916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 10, g: 2, r: 2}. What is prob of sequence gr?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*b + 0*b - b)*(3 - 3 + 3*b)*(-23*b**3 + 7*b**3 - 35*b**3).\nAnswer: -612*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: What is 321 (base 5) in base 10?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -3435251 (base 8) to base 16.\nAnswer: -e3aa9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 208634 is divided by 815.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 11227828 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**3 - 3*u**2 - 6*u - 4. Let x be t(5). Let a = x - -47. Suppose 2*b + 2*b = 28. What is the highest common divisor of b and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j\/(j\/j**14))\/(j\/j**(-2\/37))*(j**(-1\/4)*j*j)\/j*j\/j**(-36\/11) assuming j is positive.\nAnswer: j**(29253\/1628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -5 (base 12) in base 9?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-12)\/(-5))\/(474\/790)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when ((7462\/78)\/(1\/3))\/1 is divided by 77.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 23\/46 - 18\/(-4). Suppose -5*u + 4*p + 32 = -32, -3*u + 31 = t*p. Let z(b) = b**3 - 6*b**2 - 6*b + 9. What is the lowest common multiple of z(7) and u?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -83 - -403. Is (-1 + -1 - -3) + m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 403*n - 821*n + 4 + 412*n.\nAnswer: -6*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*h = -23 + 11. Suppose z = 2*c + 11, 5*z - 31 = -0*z + 2*c. Suppose v = o - z, v + 25 = 2*o + 3*o. Solve m - 18 = h*g, -2*m + 26 = -o*g + g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 713*m**2 + 92*m + 1194. Is z(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -8 (b) 1\/4 (c) -0.4 (d) -462\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from noyodkakn. What is prob of sequence yyya?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 5 divide 262565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*(-9)\/6*12\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes after 7:06 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p(h) be the third derivative of h**6\/120 + 13*h**5\/60 - 13*h**4\/24 + 4*h**3 - 24*h**2. What are the prime factors of p(-14)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.194869 millennia to centuries.\nAnswer: 51.94869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of a**2*q**2 + 104*a**2*q + 2*a**2 + 50278*q**4 + 9*q**2 + 728*q wrt q?\nAnswer: 2*a**2 + 603336*q**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -26*q + 67 - 15. What is the second derivative of -27*h**q + 90*h + 13*h**2 - 170*h wrt h?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-20)\/6)\/(-1)*12\/(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4420 and 69710?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose b**5\/2 - 17*b**4\/2 + 41*b**3\/2 + 437*b**2\/2 - 531*b - 1620 = 0. What is b?\nAnswer: -4, -2, 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*d - 36 = 5*h, 9*d + 12 = 10*d + h. Let u(x) be the first derivative of -4*x**2 + d + 2\/3*x**3 + 8*x. Suppose u(b) = 0. What is b?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 166.72 + -201. Let h = -34.278253 - c. Round h to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 35 and 1345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 3, -5, -1, 1193, 39, -18.\nAnswer: -18, -5, -2, -1, 3, 39, 1193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-1452)\/(-880) + 45\/(-20). Let t be (4 + 1 + -4)*7. Sort -0.4, t, c in descending order.\nAnswer: t, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 25\/12 and 139\/4080?\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in -224, -478, -732, -986, -1240?\nAnswer: -1494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence dn when two letters picked without replacement from {n: 1, x: 3, d: 4}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in -17, -239, -921, -2315, -4673, -8247, -13289?\nAnswer: -20051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 5 * 0.021\nAnswer: 0.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 522306 to the nearest integer?\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -5*o + 3*o + 15*o. Let f(n) be the third derivative of 319*n**4\/12 - 2*n**2. Let w(p) = 2*f(p) - 99*z(p). Let r(t) = -2*t. What is -34*r(u) + 6*w(u)?\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.6 and 7.289.\nAnswer: 6.689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -28*k - 283. What is t(-7)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-5 - -6)\/(1\/(-77)) + 0. What is the lowest common multiple of ((-1)\/(-1))\/((-2)\/(-22)) and -3*1*i\/33?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -364832*k - 20623. Is u(-10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0.2 (b) 5 (c) -3 (d) -66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -16.6 - -15.6. Suppose 6 = r + 2*r. Let j be 5*-2*r\/(-4). Which is the closest to -2? (a) -4 (b) j (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -170 * 6005.\nAnswer: -1020850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is (2 + 603\/(-27))*-381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.13 * 7.125165\nAnswer: 0.92627145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c - 8 = -4*f, 5*c - 9304 + 9293 = -7*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 2*c**3 - 5*c**2 - 8*c + 12. Calculate the remainder when t(4) is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -13, 2, -2 in increasing order.\nAnswer: -13, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 48806145 divided by 5?\nAnswer: 9761229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 540238681 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 53 + -69 + (6 - -1) + 5 + 77 - -2\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((i**(-3\/2)\/i)\/((i*i**(5\/8))\/i))\/(i*(i\/(i*(i**(-3)*i)\/i))\/i*i\/(i*i**(1\/17))))**17 assuming i is positive.\nAnswer: i**(-825\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = -4*c. Let s(w) = -2667821*w**2. Give s(x(v)).\nAnswer: -42685136*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 96d + -c?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 12209 - 85451\/7. Which is the fourth smallest value? (a) 6 (b) -2\/9 (c) x (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2698311 take away 1.11?\nAnswer: -2698312.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*f + 3*r - 15, 9*f - 7*f = -0*r + 7*r - 35 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t\/(t*t\/t**(-8\/3)*t*t*t))\/t)**35*(t*t**(-2\/17)*t)**(-27))**(2\/111) assuming t is positive.\nAnswer: t**(-32554\/5661)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -10*k**2. Let x(h) = -2*h + 3. Let z(u) = 4*u - 5. Let p(f) = f + 2. Let a be p(3). Let d(w) = a*x(w) + 3*z(w). Give d(g(n)).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -905 or -1096?\nAnswer: -1096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = g**2 - 24*g + 24. Determine c(22).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 7514 * 27\nAnswer: 202878","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the first derivative of 823*y**4 + y**2 - 2800*y - 6249. What is the second derivative of n(s) wrt s?\nAnswer: 19752*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4746422467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = -39.3 - -896.3. Let o = 856 - r. Which is the smallest value? (a) o (b) -6\/13 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y**5\/5 - 25096*y**4\/5 + 25124*y**3\/5 + 30120*y**2 = 0. What is y?\nAnswer: -6275, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*i**2 - 2*i**3 - 2*i**2 - 2*i**4 + 438 - 436 + 3*i**4 - 2*i**4 - 3*i**4 + (0*i**2 - i**2 + 3*i**2)*(-i**2 + 3*i**2 + i**2) + 0*i**4 - 4*i**4 + 3*i**4.\nAnswer: i**4 - 2*i**3 - 2*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = z**2 + 10*z - 8. Let t be q(-10). Let f be (-10)\/4*t\/10. Find the second derivative of -d - d**3 - 4*d + f*d wrt d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 6, -10, 1, -2 in decreasing order.\nAnswer: 6, 5, 1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*v = 5*z, 3*z + 3*v + 18 + 12 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-16)\/(-10) + -1 - 48235617\/(-1405)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 106\/22 + 10\/55. Suppose -b*w - 939 = -4*m + 2*m, 2*m + 2*w - 946 = 0. Calculate the highest common divisor of m and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 - 27 = 5*x, -3 = f - x. What is the units digit of (-54)\/f + (-1)\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -3*p + 4. Let n(l) be the first derivative of -20 - 9\/2*l**2 + 11*l. Let b be (2 - 4)*1*-2. Determine b*n(w) - 11*i(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 328117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m = -117\/4 - -29. Suppose 7*a + 726 = -4*a. Let y = a + 61. What is the third smallest value in 2, 0, y, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-25)\/(2\/(-5 + 3)). Suppose -2*d = 3*d - m. Let q = -3 - -4. Solve -2*k + d = -q for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 2*m. Let h(n) = n**2 + 87159*n. Determine l(h(o)).\nAnswer: 2*o**2 + 174318*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, -3, 26577573 in decreasing order.\nAnswer: 26577573, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, 2\/7, 0.1, -0.0495, -4, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.66965733 rounded to 3 decimal places?\nAnswer: -0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*k + 4*k - 5 = 0. Let q be 16 + 0 + k + 0. What is the greatest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-127 - (-15618)\/137) + 41.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -730, -3635, -6540, -9445, -12350, -15255?\nAnswer: -18160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -58*f + 174 = 4*w, 2*f - 57 + 51 = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s**2\/5 + 41952*s\/5 + 7347483\/5 = 0. What is s?\nAnswer: -173, 14157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 l and 2 m when three letters picked without replacement from lmlmmrurmrlry?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 106022?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the first derivative of -19*f**2\/2 + 7*f - 23. What is the tens digit of n(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 127 - 123. Solve -k - k = f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.9 in 4, -6\/5, -0.3548, -0.36?\nAnswer: -0.3548","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 179*p + 97 - 418 - 753 = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11485 - 11470. Is 399 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -966 = -41*k + 138*k - 3197 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2328 divided by 388?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 495*l. Let c(n) = 459*n**2 - 65 - 456*n**2 + 65. Determine z(c(b)).\nAnswer: 1485*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2 and 1638434125?\nAnswer: 1638434123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 172063 is divided by 650?\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*n**3\/5 + 159*n**2\/5 - 9408*n\/5 + 18156\/5.\nAnswer: 3*(n - 34)*(n - 2)*(n + 89)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the third derivative of c**5\/30 - c**2. Let n(r) = -23*r**2 + 0*r**2 + 20*r**2. Give n(h(d)).\nAnswer: -12*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) be the second derivative of -3*y**5\/80 + 3*y**4\/8 - y**3 - 2*y + 9. Factor j(x).\nAnswer: -3*x*(x - 4)*(x - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f*((f*f*f*f*f**(-1)*f*f*f)\/f)\/f)**(-15\/2))**7\/((f**1)**28\/(f**5\/(f*f\/f**4*f*f*f*f))) assuming f is positive.\nAnswer: f**(-575\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 941959 is divided by 510.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = -574\/9 - -64. Suppose -f + 9 = 6. Suppose 2*u + u = -h + 7, -f*u - 13 = -4*h. Is y at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -l**3 + 4*l**2 + 11*l - 5. What is the units digit of s(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -3*v**3 + 95*v**2 + 29*v + 96. Give h(32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1458 + 10208\/7. What is the fifth smallest value in -4, 3, s, 2\/11, 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 87 = -3*v + 6, -v - 85 = -3*g. Let z = g + -12. Suppose -41 = -2*b + z. List the prime factors of b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4c4 - 95072?\nAnswer: -94bae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5522 + 6*q**3 + 5520 - 2*q**2 - 33*q**3)*(0 + q**2 + 0).\nAnswer: -27*q**5 - 2*q**4 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Round -44.29 to the nearest integer.\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is (-6 - -9) + -3 + -2 + 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(17) + 2 + 3 + -1.\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 6 = 2*c - 19*c - 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 510 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 0.8296061 centuries?\nAnswer: 82.96061","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 273*l - 1378*l + 268*l + 270*l - 36*l**3 + 280*l + 287*l.\nAnswer: -36*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be (1 - 1) + -1 + -4. Let d(b) = -b**3 - 4*b**2 + 4*b - 1. What is the remainder when 17 is divided by d(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46333 is divided by 6615.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -6*j**3 - 2*j**2 - 2*j. Let k be v(-2). Let t = k - 71. Let s = t + 40. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 657 minutes after 10:31 AM?\nAnswer: 9:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the second derivative of 311*a**5\/5 - a**4\/12 - 349*a**2 + 16*a + 2. Differentiate r(t) wrt t.\nAnswer: 3732*t**2 - 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in -1\/22, 50402, 0.4?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.041 less than -26.2?\nAnswer: -26.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m - 8 = 0, -4044 = 6*d - d - m. What is the tens digit of d\/(-12)*(-12)\/(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 144.7 rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -167 + 170. Suppose -3*g + 7 = -5*m + 6, -s*m = -3. What is the highest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 3*y + 4*v - 18 = 0, -4*y - 2*v + 14 = 0. Let r = -5 - -8. Factor r*l**y + 9*l**3 - 9*l - 3*l + 6*l.\nAnswer: 3*l*(l + 1)*(3*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: 1637503 * 5\nAnswer: 8187515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = v**3 + 10*v**2 + 12*v + 2. What is the tens digit of b(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/(96\/30))\/(-1*(-3)\/(-36))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.5 and -14.\nAnswer: -13.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -7 - -21612?\nAnswer: 21603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -24*h**2. Let c(y) be the second derivative of -y**4\/12 + 8*y - 1. Calculate v(c(u)).\nAnswer: -24*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) = -t**3 + 9*t**2 - 9*t + 10. Let k be g(8). Let x = -1 + 4. Suppose 4 = b - 3*a - x, -b - 4*a = 0. What is the greatest common factor of k and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10779827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -55 = 11*c - 9*c + 3*v, 5*v = -5*c - 140. Which is smaller: c or -20?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in five quarters of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pnxxxpxp. Give prob of picking 2 p.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y**3 - 888*y**2 + 12873*y - 45570 = 0. Calculate y.\nAnswer: -310, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -0.308*140\nAnswer: -43.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 143\/2616 and -35\/523672?\nAnswer: 171240744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) be the third derivative of t**6\/60 - t**5\/60 + 5*t**4\/24 - t**3\/2 + 6*t**2 - 19*t. Give h(2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 0.2380575 - 0.238. What is i rounded to 6 dps?\nAnswer: 0.000058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.4 * 64\nAnswer: -25.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 + 235?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 2 + -2 - 2 - (-25 - -26)*-2576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 181 minutes after 2:56 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 178649 is divided by 178640?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 64910?\nAnswer: 2, 5, 6491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -380 = 72*v + 1328 - 124 for v.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1 + -3 + 5 + 2. Suppose 5*b = g*l + 280, -3*b + 2*l + 32 = -137. Let r(u) = -u**2 + 20. Calculate the remainder when b is divided by r(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3284*y + 417*y**2 - 2551*y - 1681*y + 534*y**2 - 3*y**3 = 0.\nAnswer: 0, 1, 316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 3337454823 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) be the second derivative of k**8\/1344 + k**7\/504 - k**6\/144 - k**5\/24 + 13*k**4\/12 + 10*k. Let q(s) be the third derivative of a(s). Factor q(w).\nAnswer: 5*(w - 1)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -130 and -25056?\nAnswer: 24926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence by when two letters picked without replacement from bvbbxdllyxdv?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -95, -173, -227, -245, -215, -125, 37?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) be the third derivative of 3\/5*r**3 + 0*r + 1\/10*r**4 + 1\/150*r**5 + 0 - 3*r**2. Factor l(d).\nAnswer: 2*(d + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 336 and 0.1?\nAnswer: 33.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -71a3 (base 13) in base 16?\nAnswer: -3d41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = -41*h + 30. Is m(-11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 - -2. Let i(s) = -s + 3. Let h be i(r). Sort h, 3, -5 in descending order.\nAnswer: 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 113 + -150. Let f = -37.3884 + 0.0884. Let l = w - f. Which is the second smallest value? (a) l (b) 2\/3 (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3614, -3616, -3630, -3662, -3718, -3804, -3926, -4090?\nAnswer: -4302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 3*x + 5 = 0. Is -2\/15 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) be the first derivative of 55*b**2\/2 + 7*b - 63. Differentiate r(p) with respect to p.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -497, -993, -1489, -1985, -2481, -2977?\nAnswer: -3473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 2, d: 1, h: 2, g: 11}. Give prob of sequence hgd.\nAnswer: 11\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 105 and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 68677 * -1071\nAnswer: -73553067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -1429*b**6 + 5*b**5 - 6*b**2 - 98*b - 169.\nAnswer: -171480*b**3 + 300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g = -17 + 36. Suppose -5*z = -g + 4. Suppose -2*d + 7 = -z*d. Is d > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -3*b**2. Let z(x) = 8346*x + 104. Let v(k) = -397*k - 5. Let h(y) = -104*v(y) - 5*z(y). Calculate h(o(n)).\nAnswer: 1326*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-2586)\/(-27) - 4\/(-18). What is the greatest common factor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -162 + 172. Which is greater: 8 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -825 and 14?\nAnswer: -11550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 2366, 4730, 7094, 9458?\n\"Answer: 2364*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 242872.\nAnswer: 2, 7, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:05 PM and 7:17 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.15 times -1?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -452360 rounded to the nearest 10000?\nAnswer: -450000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 87\/2 of a litre in millilitres?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -27 + 15. Suppose -44 = -2*h - 4*i, 2*h + 0*h - 41 = -i. Calculate the lowest common multiple of h and (r\/10)\/((-3)\/50).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 1335.223ml to litres.\nAnswer: 1.335223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-4)\/(-3))\/((-8)\/12). Suppose -4*k = -30*k + 416. Calculate the least common multiple of (1\/l)\/((-13)\/988) and k.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8800000 rounded to the nearest one hundred thousand?\nAnswer: 8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = -3955 + 3968. Solve d = -11*u + 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:05 AM and 10:15 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from tttuxttttrxtuurxt. Give prob of picking 1 u and 1 r.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**3 + 3*w**2 + w - 2. Let s be x(3). Is s less than -3\/22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((2 + 1 - 4)*(2 + 0 + 0) - 4 + 2 + 0)*(2 + 4*u**4 - 2 + (0*u**4 + 0*u**4 + 2*u**4)*(1 - 1 - 1) + 2 - u**4 - 2).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 4*g**2 - g - 2. Let j be r(-2). Solve 4*i = -j, -i - i - 11 = f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -36 + 13 + (-30 - -8 - -14) + -16?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15562888?\nAnswer: 2, 11, 17, 101, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u + 3*u + 26 - 7)*(-2 + 3*u + 2)*(6*u + 0*u + 0*u).\nAnswer: 18*u**3 + 342*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the second derivative of h**6\/40 + h**5\/20 - 3*h**2 - 3*h. Let a(f) be the first derivative of r(f). Find the third derivative of a(u) wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1.4338 to two dps.\nAnswer: 1.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*r - 3*y - 6, 5*r - 4*y = -5*y - 2. Suppose r = m - 0*m - 25. Suppose 0*j - 2*j + 550 = 0. Calculate the highest common divisor of m and j.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2932 + -2929. Sort 1.24, -5\/2, f.\nAnswer: -5\/2, 1.24, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (1 - 1) + 1632\/(-104). Let r = w + 1315\/78. Let m = -4197 + 37826\/9. Calculate the common denominator of m and r.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 5191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 629825 and 549?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find b, given that -3*b**5 + 114*b**4 - 828*b**3 - 4914*b**2 - 3969*b = 0.\nAnswer: -3, -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 13 (base 14) in base 8?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*d - 11 + 201. Let v = 37 - d. Let b be (-2 - v - -2) + 1. Solve 3*g + 16 = -b*p, -7*g + 2*g = 4*p + 30 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 50287\/126 + -2770\/7. Find the common denominator of 28\/15 and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((1 - 2 + 0)*(0 + 3 - 5) + 6 - 3 - 2)*(-3*u + 2*u + 2*u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5048060 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 114 and 314298.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d = 10, -b - 5*d + 871 - 223 = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4 (b) -0.2 (c) -0.3 (d) -12 (e) 0.2 (f) 28141\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = -2*a. Let j(b) = b - 1. Let k be j(6). Let o be 36\/15 - 2\/k. Let d(i) = -i + 0*i + i - o*i. Calculate d(l(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 828816.7 minutes to milliseconds.\nAnswer: 49729002000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11465\/2128 + -10\/133. Suppose -5*n = 2*g - 107 - 135, 0 = 2*n - g - 104. What is the common denominator of o and (4\/n)\/(36\/5535 - 0)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 101333 (base 4) in base 10?\nAnswer: 1151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4949, -5050, -5163, -5294, -5449, -5634, -5855?\nAnswer: -6118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -4202*0.91\nAnswer: -3823.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -20230 divided by 2023?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t\/t**(-1\/3)*t*t**6)\/(t**(1\/2))**(-30) assuming t is positive.\nAnswer: t**(70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = -521665\/924 + 6779\/12. Calculate the common denominator of s and 47\/132.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1450989090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s be 39\/3 - (3 + (1 - 3)). Let w = -10 + s. Solve 2\/3*q**w - 4*q + 6 = 0 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6.38 + -50.886. Round b to 1 decimal place.\nAnswer: -57.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*t = -10*t - 462. Suppose -5*j + t + 78 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -5 + -43.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 33 plus 11527716797730?\nAnswer: 11527716797763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 305.531 rounded to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-38)\/p)\/p**(-23\/3) assuming p is positive.\nAnswer: p**(-94\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q = 29 + -42. Let j = q + 11. Does 5 divide (-1 - j)*68\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 243110?\nAnswer: 2, 5, 7, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**3 - 8*a**2 + 6*a - 7. Let z be m(6). Let x(d) = 55*d - 2835. Let v be x(53). Let k = z + v. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1\/9676 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 62135 and 30315.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 8 + 16 = 0. Is (-66795)\/(-21) - g\/28 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange j**2 + 8 - 8 + (-2 - 3 + 3)*(j**2 + 0*j**2 - 2*j**2) to v*j + d*j**2 + m and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let n = 131428 - 131422. Let x = -1 + 2. Which is the nearest to x? (a) 1 (b) 5\/3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 21 + (-1 - (-2 - 2)). Suppose t = -t + y. Suppose t = -0*x - 3*x, -2*j + 8 = -x. Solve -5*k = -3 - j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k**2\/5 - 886*k\/5 + 79776 = 0. What is k?\nAnswer: -720, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is -22\/5621329 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*sqrt(2)*-6 + 3 - ((-4*sqrt(120) + sqrt(120))\/sqrt(5))\/sqrt(12).\nAnswer: -15*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + 2 - (54 + -48).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*p**3 + 2*p**3 - 3*p**3 + 2*p**2 + (-21*p + 34*p + 19*p)*(-4 + 4 - 2*p**2).\nAnswer: -65*p**3 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -14*h**4 - 43*h**3 - 966*h**2?\nAnswer: -336*h - 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify o*o*o\/o**(2\/57)*o\/((o**(3\/11)*o)\/o)*o*(o**(-2\/23)*o)**(-5\/3) assuming o is positive.\nAnswer: o**(45721\/14421)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -x**2 + 19*x - 20. Let d be f(18). Which is the closest to -0.1? (a) d (b) 2\/15 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -f + 13. Let o be i(-7). Suppose 16*s + o = 21*s. Suppose 0*x - 1130000 = u - s*x, 5*u - 4*x = -5650000. Round u to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40*w = -21*w - 22*w. Suppose -179*m + 181*m - 1158 = w. What are the prime factors of m?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3*-0.0611.\nAnswer: -0.1833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 0 = -50. Suppose -8 = j - n. Is (j*39)\/3 - 1 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -11009 and 0.3.\nAnswer: -3302.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a\/(a\/a**(-1\/4)))**(-40)\/((a*a*a**(-4)*a)\/(a**(-4)*a)))\/((((a\/(((a*(a\/a**5)\/a*a)\/a)\/a))\/a)\/a*a**(-2\/3))\/((a**2*a)\/a)**(-1\/2)) assuming a is positive.\nAnswer: a**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -9436, -9427, -9404, -9361, -9292, -9191?\n\"Answer: d**3 + d**2 - d - 9437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2*6\/160)\/(24\/(-96)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 133a8 (base 15) in base 11?\nAnswer: 422a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 387613254 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: Rearrange (-3 + 3 - 49*o**2)*(-4 + 4 + 3)*(-1 + 1 - 2) to the form k + u*o + x*o**2 and give x.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z + 4486 = -2918. Round z to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 117 and 222303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 17 + 144. Suppose -c = -13*v - 135. Solve -v*s = 2 - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 185 in 3, 0.5, 3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) be the second derivative of 2*f**7\/105 - f**4\/3 + f**2 - 5*f. Let x(i) be the first derivative of u(i). Find the second derivative of x(j) wrt j.\nAnswer: 48*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2216 divided by -4?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 7 + 29?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*12526.\nAnswer: 12526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(40)\/sqrt(4))\/sqrt(2))**2 + -1 + sqrt(500) + sqrt(5) - ((sqrt(45) - 6*(1 + sqrt(45))) + -1).\nAnswer: 11 + 26*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-6 + (-13116)\/(-2188))*(-4)\/(-6). Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/30 of a week?\nAnswer: 20160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + 4*t - 6, 2*z + 2*z + 5*t - 9 = 0. Is z\/39 + 54477\/39 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = 2*j**2 - 3*j + 3. Let c(p) be the third derivative of p**5\/30 - p**4\/12 + p**3\/3 - 3*p**2 + 14*p. Determine -6*c(t) + 4*m(t).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-7)\/(-5)*-20*(-2439)\/36 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2634527 and 4130.\nAnswer: 26345270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 6*u**3 - 38*u**2 + 61*u - 95. Let q be w(-41). What is q rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 19575 and 1975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: ((-85)\/(-102))\/((-2)\/(-2))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**2 - 4*p + 6. Let o be y(3). What are the prime factors of (10\/o)\/((-20)\/(-240))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose b = 44084 - 2513 - 7354. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2\/(-3) + 476225392\/(-13171872). Let y = f - 3\/78404. Let i = y - -172\/7. Find the common denominator of i and -15\/7.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 77 and 6.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1*(-83)\/15)\/(36\/(-1020)). Let s = r - -157. Suppose 2\/9*d**5 + 0 + 4\/9*d**2 + 0*d**3 - s*d - 4\/9*d**4 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -203*j + 100*j + 107*j - 55628 = 0. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(63) + sqrt(63))**2 + sqrt(700) + (sqrt(700) - (sqrt(700) + -1)**2) + (sqrt(700) + 0 + -3 + -2*(sqrt(700) + 2*sqrt(700)))**2.\nAnswer: 352*sqrt(7) + 17061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 14 a factor of 213174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in 9, 89, 169, 249?\nAnswer: 329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2879, 5756, 8629, 11498?\nAnswer: 14363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3399899 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-30)\/21 + 15 + (-728)\/(-98).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 4042 and 172?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -5*i**2 + 10*i - 11. Let u(f) = f**2 - 2*f + 3. Let t(r) = -9*u(r) - 2*v(r). Give t(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*i - 0*i + 132. What is the remainder when 47 is divided by -3 + -2*i\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -225*(-292)\/10183500*(-20)\/6.\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: (184\/(-3450))\/(3\/9)\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (g**2 - 10*g**2 - 5*g**2)*(-301*g + 1 + 80*g - 177*g - 1).\nAnswer: 5572*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 3.676119mm in micrometers?\nAnswer: 3676.119","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-4 + (-828)\/(-162))*3\/5. Which is the closest to f? (a) -0.4 (b) -0.04 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-4)\/(-16)*4*(-1)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-369)\/((-7749)\/2190) + -105.\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) be the first derivative of h**6\/2 - 17*h**4\/4 - 413*h**3\/3 + 1023. Find the third derivative of k(x) wrt x.\nAnswer: 180*x**2 - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -9*88\/198 + 422\/2 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(-25) - 501054\/136900\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 1840 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s. Let t(j) = -j + 4*j + 2*j - 4*j. Determine o(t(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2947507027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 4 + -874?\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:06 PM and 6:11 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/5? (a) 11 (b) 7\/832 (c) -0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 50665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -52\/157899 and 88\/473697.\nAnswer: 473697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, -142, 1.\nAnswer: -142, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the third derivative of -k**6\/480 + k**5\/40 - 5*k**4\/96 + 4*k**2 + 12. Determine f, given that y(f) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3644 - 744*a + 3644 - 3*a in the form i*a + w and give i.\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -3*o - 2. Let c be g(-2). Suppose 3*x = -c*k + 57, -3*k + 6*k + 4*x - 48 = 0. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -7005\/23, -6, 4 in ascending order.\nAnswer: -7005\/23, -6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 16 and 1856?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -14.7969 + 22.1472. What is j rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = v**3 - 6*v**2 - 7*v - 2. Let c be 2\/(12\/(-7) + 2). Let o be x(c). Let u = 1 - o. Which is greater: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/54)\/((-4)\/12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7\/4)\/((-3465)\/(-360)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -1 (b) 1\/2 (c) -27 (d) -855\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.18 (b) 6.6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*2*sqrt(228) - 4*(sqrt(228)*-3 + sqrt(228)))\/(sqrt(192)\/sqrt(4) + sqrt(1200)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 62, 136, 218, 308, 406, 512?\n\"Answer: 4*r**2 + 62*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2 and 2712.\nAnswer: 2712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 37312 and 530?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express (27 - 27 - 4*p**3 + (0*p**2 + p**2 + p**2)*(1 - 1 - 2*p))*(-3*p - 2*p - 3*p) in the form k*p**4 + x + f*p + c*p**2 + n*p**3 and give k.\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = l**3 - 19216*l**2 + 192160*l - 1004. Calculate w(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 100.970319 to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = 7*r**2 - 2722843. Let l(u) = -4*u. Determine g(l(s)).\nAnswer: 112*s**2 - 2722843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 - 9*u - 8*u - 15*u)*(-3 - u + 3) to s*u**2 + o*u + p and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -105592, -105590, -105588, -105586, -105584?\n\"Answer: 2*i - 105594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 32 and 5416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -5*f**5 - 255*f**4 - 3815*f**3 - 14145*f**2 - 10580*f = 0.\nAnswer: -23, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(1100)*1 - (-3 + sqrt(1100) + -1))**2 + (sqrt(121)*-1*3)\/(sqrt(33)\/sqrt(3)*-6).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 36101 is divided by 132?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g - 3*g + 16 = 0, 0 = 2*n + 5*g - 506. What are the prime factors of n?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**3 + d**2 - d. Suppose 9*b = -b + 1440. Let u = 146 - b. Let g(z) = -3*z**3 - 3*z**2 + 2*z + 8. Let k(j) = u*a(j) + g(j). What is k(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3447048662.\nAnswer: 2, 53, 1231, 26417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1405 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 3*u - 4. Let g(f) = -9*f + 9. Let s(b) = 5*b - 5. Let j(r) = 4*g(r) + 7*s(r). Calculate 7*j(q) + 2*t(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -506204598, -506204599, -506204600, -506204601, -506204602?\n\"Answer: -s - 506204597","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = -r**2 - 48*r + 7. What is c(2)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 4820405 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 8295787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 4*f - f + f + (2*f + 2*f + 0*f)*(-2 - 1 + 1) - 2*f + 0*f + f to the form q + j*f and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((y\/y**1)\/y*y)**(-2\/27))**(-3\/8)\/((y**(-3)*y*(y*y\/(y*((((y**(1\/12)\/y)\/y*y)\/y)\/y*y)\/y)*y)\/y)\/(y**(1\/3))**(-9)) assuming y is positive.\nAnswer: y**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - j + 3)*(496*j**2 + 1996*j**2 + 6578*j**2 - 239*j**2).\nAnswer: -8831*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = 4*m**2 - 785 - 2*m + 390 + 392 + m**3. Calculate g(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 690 minutes before 7:17 PM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put together 21.358 and -3658.683077.\nAnswer: -3637.325077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -700 (base 15) to base 13\nAnswer: -942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zyzybzzzzzybzzyznzz. Give prob of picking 2 z and 1 y.\nAnswer: 88\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-14*(-24)\/(-504))\/((-8)\/12)*114\/2.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 + 3 = 3*r, 0 = -o + 4*r for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express -34*n + 10*n + 2*n**2 - 30*n + 2*n**3 + 51*n + 1 + 29 as v*n**2 + r + f*n + l*n**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be 9 + -5 - 9\/(-1). Let l = d + -8. Solve l = -5*z + 15 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8510118 months to decades.\nAnswer: 0.007091765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g = -12130 + 20310. List the prime factors of g.\nAnswer: 2, 5, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 3*w = 4897086 + 2322127, -10 = 2*w. Let g = 4099198 - j. Let t be (40\/(-1))\/((-12)\/g). Round t to the nearest 1000000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 1512718 and 8.\nAnswer: 6050872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) be the first derivative of 1\/3*p**3 + 6*p + 0*p**2 + 6. Differentiate x(j) wrt j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/318 and 57\/2089472.\nAnswer: 6268416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 14 + 21 + -34 + 0 + -3 + 20 + 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2536 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -235*i**4 - 960*i**4 + 139*i**4 - 11745*i - 688*i**4 - 390*i**4 wrt i?\nAnswer: -25608*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hhhhhhahhuhhhh. Give prob of picking 2 h and 1 u.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 165581281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = -260 - -3902\/15. Let p = -2.7 + 3. Sort 0.4, 1, y, p in descending order.\nAnswer: 1, 0.4, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 2001.30422 - 1884.3041988. Let x = 161 + -44. Let b = x - c. What is b rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0 + 2. Let o(b) be the second derivative of 5*b**3\/6 - 75*b**2 - 11*b. Let m be o(31). Solve -9 = -3*v + m*d, 6*d - 4*d = -j*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -3. Suppose -25 = 4*m - 9. Let i(p) = -p + 4. Give m*b(l) - 3*i(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 312426751462270 + 3.\nAnswer: 312426751462273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate (106\/((-31800)\/(-1260)))\/((-6)\/10).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n = 25017766917.117107 - 25017778820. Let v = n - -11793.08288783. Let g = 109.8 + v. Round g to seven decimal places.\nAnswer: -0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**3 - 9*u**2 + 10*u - 10. Let a be h(8). Let m(q) = -2*q - 2. Let l be m(-2). Solve -l*y = 5*f - 4, -f - 3*f + a = 3*y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-2 - (-3 + 3))\/(-2). Calculate the common denominator of 69\/8 and (-240)\/126 + s\/(-6).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-16 - -12 - (1 + -1)) + 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 - 14 = -3*z. Suppose 0*p = -p. Let u = z + p. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 621406016572163 - 621405865380029.1000107. Let z = f - 151192269.9. Let o = -136 - z. What is o rounded to 6 dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 290*l + 713 = 313*l. What is the remainder when 150 is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = 3*x + 49. Let m(j) = -2*j - 126. Let k(z) = -m(z) - u(z). Let w(g) = -3*g. What is k(w(d))?\nAnswer: 3*d + 77","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 937*o + 7. Let w be g(0). Let v(d) = -5*d**3 + 11*d**2 - 3*d - 4. Let b(u) = 2*u**3 - 5*u**2 + u + 2. Calculate w*b(s) + 3*v(s).\nAnswer: -s**3 - 2*s**2 - 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 65 is divided by (3 - (0 + 3)) + 21 + -12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -132 + (6 - -101 - -3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -10 - -34. List the prime factors of (-4)\/(-3 + 69\/f).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -2*b. Let d(a) = -9663*a**2. Determine d(q(u)).\nAnswer: -38652*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -53 divided by 1\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1 + (-17)\/(-2))*-2. Suppose -50 = -3*i + i. Let k = x + i. Is 10 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 5*r + 25. Let t be y(-5). Let l(n) = 7*n**2 + 8*n - 3*n - 4 + t*n. Let b be l(3). What is the highest common divisor of b and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be -4004*1\/(-10)*(-35)\/(-14). Are 1001 and y nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 49210.\nAnswer: 2, 5, 7, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**2 + 495*g - 31258. Determine i(82).\nAnswer: 2608","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 3242 (base 5) in base 14?\nAnswer: 23d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -74 (base 16) to base 15.\nAnswer: -7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 880766 is divided by 166.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 54 = 63. Let f be 51 + 6\/c - 4\/(-1). Suppose -d = -79 + 26. Calculate the greatest common factor of f and d.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 3ad8 + -2d?\nAnswer: 3aa9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 79 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6904 is divided by 2527?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 100 divide 4500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 20572621 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = 4*y**2 + 15*y + 9. Let t be i(-12). Suppose -2*o + 4*c + 352 = 0, 273 = 4*o + 5*c - t. Calculate the remainder when o is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 3*h + 14. Is c(7) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m - 5 = y, 5*y + m + 11 = -0*m. Let l be (-28)\/y - (3 + -4). Solve 4*a - a + l = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.0228? (a) -1\/5 (b) 0.3 (c) 0.1 (d) -6\/485\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0.07 times 0.16\nAnswer: 0.0112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c**2 + 16*c + 2. Calculate l(16).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 9962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put -6\/25, -5, -941, 5, -0.3, -2\/3 in ascending order.\nAnswer: -941, -5, -2\/3, -0.3, -6\/25, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 102 and 71936?\nAnswer: 3668736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -29\/4240 and -117\/583000.\nAnswer: 1166000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3*s + 4*s + 4*s)*(s**2 - 2*s**2 + 0*s**2) + s**3 - 3*s**3 + s**3)*(-3*s + s + s).\nAnswer: 6*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -7*f - 15 - 31*f**2 + 17*f**2 + 17*f**2. What are the prime factors of t(7)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -8 + 12. Suppose -3*y = 2*j - t - 4, 0 = 5*j - 5. What is the first derivative of -5*k**2 + 2*k**2 + 4 + 5*k**y wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2\/7 + 104\/28. Find v such that -4*v**4 - 3*v**3 - w*v**4 - v**4 = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 858246 and 252721.\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -231 - -236. What is the common denominator of (-1)\/(-7) - (-2061)\/(-168) and (1\/o)\/((-52)\/3965)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**(18\/5))\/(o*o**(-25)*o) assuming o is positive.\nAnswer: o**(138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -172 (b) 297 (c) -2\/41 (d) 5 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 23880 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-5)\/(1\/(2 - 1)). Let h(y) = 58 + 3260*y + 3261*y - 6537*y. Let l(r) = 8*r - 29. Let g(v) = o*l(v) - 3*h(v). Differentiate g(u) with respect to u.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 7*j - 13. Determine s(-5).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 54 and 266450154?\nAnswer: 2398051386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let l be 0\/(3*2\/(-3)). Suppose 2*h - 6*h = l. Solve h = -5*v + 2*a + 20 + 7, -3*a = -4*v + 23 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 64*r + 6*r**3 - 64*r + (3*r - 3*r + r)*(-2*r + r**2 + 2*r) to b + s*r**2 + m*r + n*r**3 and give n.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 1 + 2)*(-45 - 595 - 697)*(-4*k + 2*k - 5*k**2 + 4*k**2) in the form q*k**2 + a*k + j and give q.\nAnswer: 5348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o - 21 = -4*v, 5*v + 0*o = -o + 29. Suppose v*c = 4*c + 4. Find the second derivative of -c*b**4 + 3*b**4 - 4*b - 4*b**4 wrt b.\nAnswer: -36*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-18)\/3*-3*(-156)\/36. Let z = a + 122. Is z a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10317661.\nAnswer: 10317661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f = 2*t + 22, 4*f - 4*t = -8*t - 32 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x = 294.5 - 0.5. Let u = x - 297. Suppose 0 = -4*j - 3*k + 4, -4*j = 4*k. Which is the second smallest value? (a) j (b) -0.3 (c) u (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -155 + 230. Let d = o + 39. What is the third biggest value in -5, 5, d?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*r - 4*b - 4, r - 21 = -2*r + 3*b. Suppose r*q + 4*y - 20 = 0, -5*q - y - 1 = -14. Factor 2\/5*j - 1\/5 - 1\/5*j**q.\nAnswer: -(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 677 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 138873857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3 - (-30)\/6)*9\/(-2). Let d = j + 18. Suppose -d*c + 4535 = -4*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -112*b**3 + 480 - 961 + 479 + b**4 as m*b**4 + w*b + u + l*b**3 + o*b**2 and give l.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = 0.0472 - -0.172. Round t to 2 dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 390119189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-27)\/(-6)*((-36)\/(-324) - (2 - 3)). Let m(l) = l + 4. Let w be m(-4). Solve w = -6*c + 11*c + j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 9*r + 2 - 20*r + r**3 + 7*r**2 + 15*r. Let h be d(-6). Solve -3*n + 7 = -2*s, 8*s = 3*s + 4*n - h for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 0 + sqrt(2299) + -4 - (0 + sqrt(684))*4*-2.\nAnswer: -9 + 59*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -352*g**2 + 55266*g - 313. What is c(157)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (-1*sqrt(119)*3 + 1*sqrt(119)*-5)\/((sqrt(7) - sqrt(35)\/sqrt(5)*-1)*-3).\nAnswer: 4*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 23a63 - 2?\nAnswer: 23a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (u - u - 3*u)*(u**2 + 11*u**4 - u**2) + (-4 + 2*u**2 + 4)*(-2*u**3 - 4*u + 4*u) + 4*u**5 - 3*u**5 - 4*u**5.\nAnswer: -40*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 152534308319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1508414 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -39*p - 6*p + p**2 - 157 + 2*p + p**2 wrt p?\nAnswer: 4*p - 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-2) + 45*152\/3390\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = -5*s - 0*s + 18, 5*s - a = 8. Solve s*l = -3*c + 10, -3*l + 5*c - 25 = 2*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -26382 + 26606. Calculate the least common multiple of j and 294.\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 540305 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 277 + 825*h + 166 + 331 - 18 - 103 wrt h?\nAnswer: 825","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -27340*s + 27517*s - 7788 = 0 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put -1.39, -8, 30028 in descending order.\nAnswer: 30028, -1.39, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -d**3 - 36*d**2 - 150*d - 6. Calculate k(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rbrfcftaacrcarf. What is prob of sequence ft?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 4966 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 62407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-x + x + x)*(-11837 + 11837 + 169*x**2) - 5*x**3 + x**3 - 4*x**3 to the form r*x**2 + f*x**3 + y + o*x and give f.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -385, -419, -451, -481, -509, -535, -559?\n\"Answer: m**2 - 37*m - 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3473066, 3473013, 3472960, 3472907, 3472854, 3472801?\nAnswer: 3472748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5520120 and 28152612.\nAnswer: 281526120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let r(l) = 3*l. Let b(x) = 439762*x. Determine b(r(g)).\nAnswer: 1319286*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 63, 106, 151, 198, 247, 298?\n\"Answer: u**2 + 40*u + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((u\/((((u\/(u**(2\/15)*u))\/u)\/u)\/u))\/u*u\/u**(-3\/8))\/(u*u**(-2\/7)*u)**(-1\/31))**(-20) assuming u is positive.\nAnswer: u**(-118837\/1302)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 4939, 9963, 15079, 20287?\n\"Answer: 46*f**2 + 4886*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3017 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express 150 - 3*q**2 - 2*q**3 - 151 - q - 2*q as s*q + t*q**2 + z*q**3 + g and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*b - 1 - 9. Let r = 8 - b. Suppose 2*l - 2*m = 126, 2*l - r*m = -8*m + 105. List the prime factors of l.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 3*x**2 + 3144*x + 66668. Determine p(-21).\nAnswer: 1967","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 11 (b) -11 (c) -3 (d) 8802 (e) 4 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 75808511*w**3 - 789195*w**2 - w + 6?\nAnswer: 454851066","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round 5641226670 to the nearest 100000.\nAnswer: 5641200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 91\/2 of a millennium in years?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1077794470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*-4*sqrt(76)*1 + -4 + -6*sqrt(171) + 1)*-1)**2.\nAnswer: 396*sqrt(19) + 82773","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -1\/892008 and -25\/205848?\nAnswer: 2676024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 100 and 3050?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 14960892.\nAnswer: 2, 3, 97, 12853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1 or -2\/3799?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**3 + 6*h**2 + 7*h + 6. Let x be u(6). Let q be (-15)\/(-4)*-4*1. Let r be -3 - q\/((-2)\/(-2)). Calculate the greatest common divisor of x and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 4*b - 809984 = 0, 4*b = -4 + 20. What is h rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -83 + 148. Suppose 6*b + g = 47. Put 1, 5, -5, b in decreasing order.\nAnswer: 5, 1, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, c: 1, m: 1, y: 2, i: 2, b: 1}. Give prob of sequence bc.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 102 - (-5 + -6) - (1 - 0 - (-11 + 16))\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d be 21\/(-35) + (-84)\/(-165). What is the nearest to 1 in d, -29, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65 + 1 = 11*g. Solve -5*u = -g*u - 1, -3*b + 1 = 5*u for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -211 divided by -30699.\nAnswer: 211\/30699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Factor i**3 - 29*i**2 + 147*i - 207.\nAnswer: (i - 23)*(i - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 21836861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*y - 30 = -20*y. Find r, given that 2\/3*r - 4\/3 + 2*r**y = 0.\nAnswer: -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gv when two letters picked without replacement from {o: 1, v: 1, c: 4, y: 2, g: 4, r: 3}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 22 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*o - 11 + 25 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*(-62)\/155*(-15)\/(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 104*c - 728. Give g(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/(-1*(-2)\/(-10)). Suppose o + 0*o - 8 = 0. Let n be (-2)\/o + (-68)\/(-16). Solve -h - 2 + 12 = -b*r, -3*r - n*h = 6 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = g + 1. Let c(a) = -4*a - 4. Let v(r) = -3*c(r) + 15*o(r). What is the tens digit of v(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1963542 is divided by 77.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(o) = -2*o. Let u be w(9). Let h be u\/(-12) - 2\/(-4). Find the second derivative of b - 14*b**2 + 19*b**h + 0 + 0 wrt b.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = 13*d - 302. What is p(19)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1 > 5\/1831888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 5, n: 1, m: 1, v: 2, s: 1}. What is prob of picking 2 l?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000002102 to 7 decimal places.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is p in -2*p**3\/11 + 31188*p**2\/11 - 342802*p\/11 - 373992\/11 = 0?\nAnswer: -1, 12, 15583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 1109959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -1759, -3522, -5287, -7054, -8823, -10594, -12367?\n\"Answer: -p**2 - 1760*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i + 8. Suppose 0*p = 4*p. Let t be u(p). Factor -12*l**2 + 25*l**4 - 21*l**4 - 20*l + l**3 - t + 3*l**3.\nAnswer: 4*(l - 2)*(l + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -9*(-8 + (-4217)\/3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.008438 to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.4 - -0.4. Let n = a - 2. Let z = 11 - 9. Which is greater: n or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 131 times -4\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 450\/25 - -22856 - -22 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.059 - -15.059. Which is the closest to 0? (a) 0.5 (b) k (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(l) = -33*l - 43. Let g(v) = 34*v + 11. Let h(n) = -3*g(n) - 4*y(n). What is h(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - (2 + -8 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1 - -3)*3\/2. Let i be 4186\/6 - (g - 4). Let a = 692 - i. Find the common denominator of 41\/5 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - a + 99 - 20 = 0, 33 = -k - 3*a. What is the remainder when (-4268)\/(-9) + 6\/k + 0 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 101407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 2 - 2)*((2*y + 0*y - y)*(1 - 3 + 1) - 4*y - 9*y + 4*y)*((-1 + 2*y + 1)*(1 + 2 - 4) - 59 + 59 - 8*y) as w*y**2 + o + f*y and give w.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*j - 7*j = -2*j. Solve j = 3*i + 5*q + 6, 3*i + 0*i - 4*q = -6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*l + 2, -2*l = j - 4*l + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 678 minutes after 12:36 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tamd when four letters picked without replacement from tmdddratddmmdrmr.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 9, -2\/1005, 0.03, 0.5, -0.2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 908, 909, 910, 911, 912, 913?\nAnswer: 914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -4*j + 18. Let c be u(4). Solve -c*h - 4*g = -22, -9*h + 4*h + 10 = g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*p - 4 = 0, 2*c - 820 + 151 = -3*p. What are the prime factors of c?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -4, -9\/11, -3, -25?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -84 - -161. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 - -2 - (-21 - (-6 - (11 - 3)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 36\/5 (c) -18\/5 (d) 1\/5 (e) -1\/5 (f) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/313, 3, 7111?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -9172 + 9328. Solve 12 = v*t - 154*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (((-126)\/32)\/(-3))\/((-88962)\/118616).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -k**2 - k + 2. Let p be r(-2). Suppose -15 = 3*s - p*s. Sort s, 8, -3.\nAnswer: s, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 729792, 1459589, 2189386?\n\"Answer: 729797*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -34 - 3337?\nAnswer: -3373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j - 20 = -3*j. Suppose 2*m - j = 64. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*q - 3*s + 401 - 430, s - 30 = 4*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 332585 divided by 1\nAnswer: 332585","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {h: 1, z: 1, u: 7, i: 6}. What is prob of picking 2 i, 1 u, and 1 z?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 17475420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -0.6, -35, 0, -13.5, 3, 2\/9?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (270\/(-20))\/(-3)*(-1)\/12\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -5 divided by 1428024\nAnswer: -5\/1428024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.3 * -0.06802.\nAnswer: 0.020406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 832 divided by 1957?\nAnswer: 832\/1957","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 218592 is divided by 4123?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 69734.96 micrograms in nanograms?\nAnswer: 69734960","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p - 3*p + 2*p + 2*p + 9*p + 27. Let o(c) = -2*c - 6. Let m(r) = 24*o(r) + 5*z(r). Determine m(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a + 0*y = 3*y + 12, 2*a + 4*y = -16. Let l = 0.5 - 0. What is the second biggest value in a, 0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*t + 12 = -5*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-1)\/(-6) - (-129)\/36*34. Let y = x - 63. Let t = y - -57. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 501999?\nAnswer: 3, 19, 8807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*c**2 + c**2 - c**2)*(79*c - 94*c + 62*c + 41*c).\nAnswer: 176*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eeoo when four letters picked without replacement from eeeeeeeoeoeoeo.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 18 = 2*t, 2*z - 2*t = -5*t + 14. Let f = -7 + 11. Let n be 1*f\/((-8)\/(-182)). Calculate the greatest common divisor of n and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gd when two letters picked without replacement from ggyddufuugydgudogydd.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 68*q + 73 + 43 = 10*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 355.3906534 rounded to two dps?\nAnswer: 355.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 0.001813634773 rounded to five dps?\nAnswer: 0.00181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 136 + -116. Let v be 580\/12 - (2 + j\/(-12)). What is the greatest common divisor of v and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*u + u**3 + 2*u)*((-1 + 0 + 3)*(0*u - u + 2*u) + 168*u - 147 + 170*u - 342*u).\nAnswer: -2*u**4 - 147*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6*6\/(-45)*15\/114.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 215 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1165*w - 4*w**2 - 1162*w + 34*w**2 to y*w + g + x*w**2 and give y.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/((-55)\/44))\/1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3 and -2.416832.\nAnswer: -7.250496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = 6*w + 10, -3*l = w - 286. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 190\/5247759 or -1?\nAnswer: 190\/5247759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -51, -47, -33, -3, 49, 129?\n\"Answer: y**3 - y**2 - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 33 = 3*z + 18, 1 = -a + 5*z. Suppose -8*g + 134 = 30. Solve a*v = 2*v - 3*h - 9, 5*v - 2*h = -g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*w**5 - w**5 + w**5 + (-w + 2*w + 0*w)*(-w**4 - 3*w**3 + 3*w**3) + 3*w**3 - 2*w**5 - 3*w**3 + 3*w**2 + w**5 - 3*w**2 + 2*w**5 + 2*w**5 - 5*w**5.\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 81, 124, 177, 246, 337, 456, 609, 802?\nAnswer: 1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(22) - (-2*sqrt(22) - sqrt(22)))*-6 - sqrt(22))\/(sqrt(11)*-2*3)*-2*2)**2.\nAnswer: 5000\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5*-0.0647.\nAnswer: -0.3235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-623)\/(-14) + (-3)\/6. Solve -6*u + s = 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7 - -16. Let t = a - 5. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -22421 divided by -3203\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 128584.5+-0.29099\nAnswer: 128584.20901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*x - 6 = 5*u, -x + 1 = -11*u + 10*u for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12 + 20 - 5 - o to the form j + v*o and give j.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 496472532 a multiple of 482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c + 15. Let g be s(12). Suppose -5*x = 3*l - 5, 2*x + l - 2 = -g*l. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/(-5))\/(((-1)\/60)\/((-6)\/(-12))).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -44 + -232?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1519, 3302, 5081, 6856, 8627, 10394, 12157?\n\"Answer: -2*f**2 + 1789*f - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -14*f**2 + 10*f**2 + 41*f**2 to the form s*f**2 + k*f + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -589*o - 593*o + 2969*o - 596*o - 595*o - 586*o.\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21\/2*(-16)\/(-288)*24.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 119 + -115. Solve -19 = q + 5*g, 6 = -o*q - 2*g + 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -651530 (base 8) in base 6?\nAnswer: -4401000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 27 in -5, 0.1, -3, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 53.23011mg to nanograms.\nAnswer: 53230110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*t - 45 + t + 49 to the form g*t + i and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(-4\/5))**(-45)*(p*p**(-2\/23))\/((p\/p**(-6\/5))\/p) assuming p is positive.\nAnswer: p**(4107\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1*(2\/(-1) + -2). Let q be (1*-30)\/(-3)*(-14)\/(-35). Put q, d, 0 in descending order.\nAnswer: q, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 249 minutes before 7:47 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(o) be the second derivative of 133*o**4\/32 + 67*o**3\/8 + 3*o**2\/16 - 7*o - 38. Factor k(i).\nAnswer: 3*(i + 1)*(133*i + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(4*sqrt(68)*-2 - sqrt(68))**2*1 - 5*(0 + (sqrt(68) - (-4 + sqrt(68) - sqrt(68))))*-5.\nAnswer: -10916 + 50*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k be -1 + 3*8 + 0. Let z = 6 + k. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 124 = 5*v + i, -2*v + 3*i = 10 - 46. Let r = 1 + 13. Let f = v - r. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 + -6 + (5 - -13).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 3416236 by 1046.\nAnswer: 3266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ydyc when four letters picked without replacement from ocboydy?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = -122*j**2. Let q(f) = 100*f**2. Calculate k(q(i)).\nAnswer: -1220000*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*u + 10*u - 7*j - 4, -5*u - 3*j - 16 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -159, -223, -287?\n\"Answer: -64*m - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27386 is divided by 52?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 278264966 is divided by 54.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b = -0*t + 5*t + 20, 3*t = -b - 12. Let s = -1403 - -1392. Sort b, -3, s in decreasing order.\nAnswer: b, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -6 - 1 - (2 + 7)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -34*z + 724 - 4759 = 235*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 7\/6, 2\/181657 in descending order.\nAnswer: 3, 7\/6, 2\/181657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 182393 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is ((-40)\/(-16))\/((-20)\/(-16))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from uminmwwuuuwmuvm. What is prob of sequence nv?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (100 + -97 - (-2 - (-3 + -8))) + 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y be 4 + -6 - 4\/((-12)\/21). Suppose y*t - 2*t + 2756 = a, 5*t = 3*a - 8288. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 663600 divided by -400.\nAnswer: -1659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 3*c + 264 = -217, -5*x + c = 2437. Let i = -329 - x. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) be the first derivative of z**5\/110 - 5*z**4\/132 - 2*z**3\/33 + 29*z**2\/2 + 5. Let g(f) be the second derivative of c(f). Factor g(n).\nAnswer: 2*(n - 2)*(3*n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -4301 - -23712?\nAnswer: 17411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - w + 2 = 0, -2 = 2*u - 3*u + 3*w. Suppose -2*l + 4*z + 4 = 12, 4*l - u*z = -4. Let c = l - -3. Solve 2*y - c*y = 5 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 299, 678, 1057?\n\"Answer: 379*m - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 17 (b) -3 (c) 1 (d) 0.1 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -8 - 17. Suppose -v*i = 4*c + 83 - 18, 0 = 5*i - 15. Round c to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -330 - -4?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((((sqrt(90)\/sqrt(3))\/sqrt(3))\/sqrt(2)*-6)**2 + (0 + sqrt(605)*1*-5 + sqrt(605) + sqrt(605))**2 + 2).\nAnswer: -5627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express -36*n**2 - 19*n**2 + 27*n**2 as k*n**2 + v + d*n and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 0.5 + -82954308\nAnswer: -82954307.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 7*x**3 - x**2 - 1. Suppose 9*b = -5*j + 4*b + 30, 2*j - 3*b + 13 = 0. Let i be g(j). Solve 12 = -i*y + 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the first derivative of -2\/3*f**3 + 1\/2*f**2 - 2*f + 33. Let h be m(0). Sort 5, 3, h, -5 in decreasing order.\nAnswer: 5, 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 274282660 to the nearest integer?\nAnswer: 16561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 1265, 1267, 1269, 1271?\n\"Answer: 2*v + 1263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5.18 - -5.18. Let j be ((-1)\/2)\/(2 - 1). What is the nearest to 0.1 in g, j, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -6145 - -6150. Solve -10*w + 2*g = -t*w - 15, 3*g = -4*w - 11 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b**2 + 4*b + 3. Let w be d(-3). Solve 2\/5*q**3 - 2\/5*q + w + 0*q**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0441 rounded to two decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 12526 + -231?\nAnswer: 12275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 7 - 8 = 0. Suppose 0 = 5*d - d - a - 43, -5*d + 75 = y*a. Find the second derivative of 12*n - 10*n**2 + d - 12 wrt n.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p + 35. Let n be g(-20). Suppose 0 = -u + 3*o + 11, 2*u = 3*o + 10 + n. Calculate the least common multiple of 68 and u.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 290\/17 at least as big as 18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {l: 7, s: 2}. What is prob of sequence lsls?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = -2*x**3 - 5*x**2 - 1064*x + 1061. Give v(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out 8 * -1.3.\nAnswer: -10.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -7.498 to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1.255 + -0.065. Let w = b - -1.32000345. Round w to 7 dps.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 127421563 + -1?\nAnswer: 127421562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 h and 2 w when three letters picked without replacement from whlwhhslwlhlhh.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express -3*d**4 - 3 + 3 + (d**4 - 4*d**4 + d**4)*(1 - 4 + 0) + (0*d**4 + d**4 - 2*d**4)*(-2 + 8 + 1) in the form q*d**2 + y*d**3 + g*d**4 + w*d + l and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2 + -1351?\nAnswer: -1346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 2729 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 13748 is divided by 1120.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) 6384 (b) -16 (c) 3\/2 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 17577450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f**2 - 27*f + 115. Determine g(19).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-20*b**2 - 19*b**2 + 59*b**2)*(-41*b + 16*b - 34*b).\nAnswer: -1180*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:30 AM and 4:22 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 40 = 5*b, 5*j + b + 12 = 62. What is the smallest common multiple of 4 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*u - 14*u = -10*u - 34. Solve u*g - 192*c + 191*c = 2, 3*g = -3*c + 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve o + 0*o - 3 = -2*v, 3*o + 1246 = -9*v + 1255 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is b in 2*b**2\/9 + 704*b\/9 + 17290\/3 = 0?\nAnswer: -247, -105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor -70*w**2 + 95*w + 470.\nAnswer: -5*(w + 2)*(14*w - 47)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -3*x + 87. Determine s(-8).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -141*y + 38*y + 2 + 46*y + 46*y. Calculate x(3).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -80*y = 5361585 - 5369265 for y.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = 81*i**2 - 711*i - 4. Let m be p(8). Is m bigger than -507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} {"text":"Question: Is 12\/43 < -566?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -5431, -10857, -16279, -21697, -27111, -32521, -37927?\n\"Answer: 2*m**2 - 5432*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*r = 16*r - 5*n - 190, 5*r = 4*n + 334. Factor r*k**3 + 18*k - 2*k**5 - 30*k**4 + 7*k**5 - 10 + 0*k - 80*k**2 + 27*k.\nAnswer: 5*(k - 2)*(k - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 576543633?\nAnswer: 3, 103, 1865837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = -q**3. Let i be h(-1). Let z(c) = 4*c**3 + 2*c - 1. Give z(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -55\/46197 and -17\/783?\nAnswer: 46197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 23291901937 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -11 + 19. Calculate the remainder when 29 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) -10 (b) 2\/21 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:00 AM and 6:37 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = 8*j - 9*j. Let i(z) = -5*z + 5 - z - 8*z**2 + 9*z**j + z. What is i(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/(-3) - 10\/15. Let q be (3 + 3)\/(2 - b). Suppose -4*t = -3*i + 3567, -i + q*i - 4*t - 1181 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 248598083?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 55 = -89. What is the greatest common factor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -13*w + 5. Let r = 20 + -16. Let t be (27\/6)\/(((-16)\/r)\/8). Let q(i) = -3*i + 1. Calculate t*q(h) + 2*p(h).\nAnswer: h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 5.5 take away 50195?\nAnswer: -50189.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 5*y**3 + y**2 - y - 3. Suppose 4*g - c + 9 = 6, -8 = 3*g + 5*c. Calculate q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the seventh root of 172150 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 5555117031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3005 + -4?\nAnswer: -3012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 348 is divided by 65?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 10*a**3 + 6*a**2 - 11*a - 4. Let x be q(5). Is 2\/((-3)\/x*-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wvwowmwwuwwomlwwwwm. What is prob of picking 2 m?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 120\/11, -63494, -2?\nAnswer: 120\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = d**3 + 2*d**2 - 2*d - 3. Let r(y) be the third derivative of -y**6\/40 - y**5\/15 + 5*y**4\/24 + 7*y**3\/6 + 2*y**2. What is 5*a(p) + 2*r(p)?\nAnswer: -p**3 + 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 429043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from wmwwmwffwtewftwf. Give prob of picking 1 m, 1 t, and 2 w.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -473, -977, -1481, -1985, -2489?\n\"Answer: -504*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -130 + -14515030?\nAnswer: -14515200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Convert 1101011100 (base 2) to base 16.\nAnswer: 35c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*r - 80 = 2*c, -105*c - 36 = -104*c - 2*r for c.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b\/b**(5\/14))**(-48) assuming b is positive.\nAnswer: b**(-216\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3872752, 7745531, 11618310?\nAnswer: 15491089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((k*k**(-2))\/k)**(5\/9)\/(k\/(k*k\/((k\/(k*k**(2\/57)))\/k))*k)**(1\/22))**(2\/101) assuming k is positive.\nAnswer: k**(-4003\/189981)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -68*f + 13207 + 13211 - 5*f**2 - 26426 as n*f**2 + a*f + m and give m.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d be 15\/10*(1 - -1). Let w = 0 - d. What is the tens digit of w*(1 + -4 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 39*(6 + (-1)\/((-9)\/(-51))). Factor b*s - 4*s**2 + 246 + 3*s - 226.\nAnswer: -4*(s - 5)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*q = 15*v + 224510 - 224701, -2*q = -3*q - 4*v - 9 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Divide 19395376 by 35984.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*r + 12 - 14 + 62*r.\nAnswer: 41*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1 - 5402\/(-7) - 1. Let o = -768 + q. Find the common denominator of (24 + -1)*11*10\/220 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -157418, -157426, -157448, -157490, -157558?\nAnswer: -157658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = 483*p + 8721. Let y be q(-18). Solve -3*a = -y + 30 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-2145297)\/(-333))\/251)\/(((-28)\/6)\/(-2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*c - 5*c - 18*u + 17*u - 17 = 0, u - 7 = c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*p + 2 + 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 5*h**2 + 199*h - 7. Let i(u) = -4*u**2 - 202*u + 6. What is -4*i(k) - 3*x(k)?\nAnswer: k**2 + 211*k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 18419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2 - -2. Let g be (-93)\/(-9) + 2\/(-6). Suppose -t + g = -s*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*m + 2*m - 5*m + 4*m.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (18 - -5) + (9 - 19) + 13?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -2989\/5 + 597. Which is the closest to -1? (a) d (b) -3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine x, given that -x**5 + 21480*x**4 - 128841*x**3 - 64442*x**2 + 429492*x - 257688 = 0.\nAnswer: -2, 1, 6, 21474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 6*w - w**3 + 3*w - 423*w**2 - 4 + 415*w**2. Give d(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7818*f**3 - 51*f**2 - 4*f - 7 wrt f.\nAnswer: 46908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -125.85 - -126. Let l = r - 0.15. Sort 2, -1, 9\/8, l in decreasing order.\nAnswer: 2, 9\/8, l, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2\/82099 + -66828604\/738891. Let p = v - -8461\/90. Find the common denominator of p and -179\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence xy when two letters picked without replacement from {x: 2, w: 3, u: 2, e: 6, y: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Product of -27.9 and 3.\nAnswer: -83.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 40199983?\nAnswer: 40199983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (11 + -4)*6 - 16.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -7384*w. Let h(x) = 388*x. Calculate 56*h(k) + 3*r(k).\nAnswer: -424*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6568*-2.1378.\nAnswer: -14041.0704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = 35.9 - 36. Let h be (-18)\/63 - 282\/(-7). Let y = h + -118\/3. Which is smaller: b or y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 6\/(-15)*(-15)\/(-3). What are the prime factors of 25 - -2*(-1)\/u?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**3 + 7*i**2 - 15*i + 57. Let c be p(6). Sort -5, 5, 4, c in descending order.\nAnswer: 5, 4, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -14*v + 5*v + 7*v + 8852. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 4, -1, -14, -1\/26, -661?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is p in -p**4\/4 + 131*p**3\/4 - 381*p**2\/2 + 377*p - 250 = 0?\nAnswer: 2, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 4184?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4.6? (a) 1 (b) 662 (c) 43\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify v\/(v*v\/(v*v*v**26*v))*v**(2\/63)\/v assuming v is positive.\nAnswer: v**(1703\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 815, 829, 851, 881, 919?\n\"Answer: 4*z**2 + 2*z + 809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = -v**2 - 10*v + 1. Determine i(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*k + 422 - 639 = 0. Sort -16, k, 0 in increasing order.\nAnswer: -16, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = x + 12. Let j be k(-10). Let a = -7 + 10. Solve j + 1 = -a*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:09 PM and 7:09 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 34*h - 90*h + 280 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (5 + sqrt(95)\/sqrt(5))**2.\nAnswer: 10*sqrt(19) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2 + (3 - 7 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 77.46087 tonnes?\nAnswer: 77460870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = 21 + 12*z**3 - z**2 - 13*z**3 + 2*z**3. Let q be i(0). Let h = q + -18. Put 2, h, 1 in decreasing order.\nAnswer: h, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/(-18)*(132 - 135).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*x**3 - x + 377*x**2 + 7*x**3 - x**3 - 3*x.\nAnswer: -x**3 + 377*x**2 - 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 115 = 1197*j - 1119*j + 4249 for j.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*k = 9*k - 4*h + 1, 0 = -4*k - 3*h - 42. Let v(p) = p**2 + 4*p - 5. What is v(k)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 572971\/13 + -44113. Let g = -10043\/234 - b. Let y = -899\/72 - g. Find the common denominator of y and -43\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 54 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5 + 2 - 5)*(-3*w + 4*w - 5*w) + 5*w + 225 - 225 to the form o*w + y and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l**2 - 21 + 12*l + 8*l - 2 + 0*l. Let z be o(11). Let f(p) = 42*p + 38*p - z*p. Let d(b) = -3*b**2. What is f(d(c))?\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 375009085 and 55?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3*(-3)\/(8 + 4).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 932366 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d = -838 - 65. What is d rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4.8 - 69.8. Let q = v + 62.1. Let j = 3 + q. Which is the closest to 0? (a) -5 (b) j (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -7*x**2 + 417*x + 208. Determine a(60).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = -2*g**2 + 4*g - 6. Let s = -24 - -35. Let h = s - 6. Let k(x) = -x**2 + 5*x - 7. Let v(c) = h*k(c) - 6*a(c). Give v(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor q**4\/7 + 1170*q**3\/7 + 341049*q**2\/7 - 690308*q\/7 - 1030188\/7.\nAnswer: (q - 3)*(q + 1)*(q + 586)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort -469, 5, 4, 3, 16, -5.\nAnswer: -469, -5, 3, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**2\/11 - 10539044*d\/11 + 13883931054242\/11.\nAnswer: 2*(d - 2634761)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o = 61897\/8 - 7747. What is the common denominator of o and -53\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*j + 4*j = -3895. Is 42 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -63091\/447 at most -140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 22*v = -31*v + 97917 + 47144. Calculate the greatest common divisor of 644 and v.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence eett when four letters picked without replacement from {e: 4, t: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (4 + (-4)\/4)\/(-2)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**2 - 18*n + 36. Let u be g(17). Suppose -6 = -5*v + u. Suppose -4*l - 25 = -5*h - 330, 385 = v*l - 5*h. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -32*r + 45125 = 58*r + 39995 for r.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*g - 2*g - 5*g. Suppose -7*b + 12*b - 840 = g. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23 = -2*x - x + 4*d, 18 = -2*x + 4*d. Sort 1, -17, x.\nAnswer: -17, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-2\/9)\/q**(-2\/9)*((q**(2\/9)\/q)\/q)\/((((q*q*q**1*q)\/q)\/q)\/q*q) assuming q is positive.\nAnswer: q**(-34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -2*j**2 + 5*j + 39. Let c be f(-4). Let y(k) = k**3 + 12*k**2 - 27*k + 35. What is the hundreds digit of y(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(12) - sqrt(192))*-2 + sqrt(12))*3)\/((sqrt(726) - (sqrt(726) - -2*sqrt(726)))*-2).\nAnswer: 21*sqrt(2)\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*w + 1865 - 5 = 0. Is 62 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 1\/3 (b) -12732 (c) 1\/4 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert 14a (base 11) to base 5.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11 = -3*i - 2. Let h(b) = -6 - b**2 + 4 + 0 + b + b. What is h(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = -c**3 + 9*c**2 - 8*c. Let v be b(8). Suppose 2*d - 4 = -v*d. What is the second derivative of d*k**4 + 0*k - k + 2 - 2 wrt k?\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -5c93 (base 14) to base 11\nAnswer: -11199","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.1 * 0.061.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*x**2 - 3*x**2 - 5*x**2 - 2*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 21*l**3 + 3*l**2 + 5*l**2 - 8*l**2.\nAnswer: 21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(17) - ((sqrt(17) - (sqrt(17) + sqrt(17) + 2)) + sqrt(17) + 2)) + 2)**2 + (sqrt(272) + -3 - (sqrt(68)\/sqrt(4) + 0)**2).\nAnswer: 1 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.04 and -8261?\nAnswer: -330.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -414023 or -414016?\nAnswer: -414016","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*-2*sqrt(330))\/(2*sqrt(6)*-2))\/((sqrt(5) - sqrt(20)*-2) + sqrt(35)\/sqrt(252)).\nAnswer: 9*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g - 23. Let v(c) = -c - 2. Calculate b(q) + 2*v(q).\nAnswer: -q - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -3232 (base 6) to base 7\nAnswer: -2105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 3, -18, 12\/16783?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be 15\/5 + -3 + 1. What is the biggest value in -0.1, 1\/10, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*n**4 + 17*n**4 + 8*n**4 - 4*n**4 + 5*n**4 - 2*n**4 + (-5*n + 0*n + 6*n)*(-n**3 - n**3 + 4*n**3).\nAnswer: 26*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 55 + 43. Let c = o + -80. Find the first derivative of -8 + 0*b**4 + c*b**4 + 3 - 10 wrt b.\nAnswer: 72*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 2 - 22 = 0. Suppose 0*w - o = -2*w. List the prime factors of 3*(7 - -1)\/w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the third derivative of 25*q**4\/24 + 43670*q**2 - 2*q + 1. Let u(g) = -3*g**2 + g**2 + 0*g**2. Determine u(w(o)).\nAnswer: -1250*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 46710955 and 1860.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29840 = -20*i + 107800. Does 64 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 - 3 - 2)*(-5*y + 0*y + 3*y) + y - y + 2*y + (-1 + 0 - 3)*(2*y - 2*y + 2*y) + y - 5*y + 3*y.\nAnswer: -11*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 38? (a) 0.5 (b) 24 (c) 0.2 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 1367526977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 13 in -518, -3\/7, 136?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 + 4. Suppose 2*c = -h + 6. Let m = -72 + 67. Sort c, m, -2.\nAnswer: m, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*v - 5*f = -2*v - 13, 5*v - 2*f = 18 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4 + 18. Let s(c) = c**3 - 12*c**2 + 12*c - 3. Suppose 0 = 3*q - 4*o - 17, 3*o = 2*q - 5*q + 45. Calculate the remainder when r is divided by s(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x*(x\/(x**(-1\/9)\/x)*x)\/x*x*x*x*x**(1\/2))**(-25\/3)\/((x**(-7)*(((((x**(-1\/5)\/x*x)\/x)\/x)\/x)\/x)\/x)\/(x**(1\/8)\/(x\/x**8))) assuming x is positive.\nAnswer: x**(-38629\/1080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3*p**3*t + 172*p**3 + 9*p*t - 160*p - 117*t - 1 wrt t?\nAnswer: 3*p**3 + 9*p - 117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 292419 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 264038*g**3 + 216849*g?\nAnswer: 1584228*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32525 is divided by 851.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the second derivative of 7*t**3\/6 + 2*t**2 - 9*t. Let q(l) = -10*l - 6. Let f be (-3)\/(-2)*10\/3. Give f*q(u) + 7*g(u).\nAnswer: -u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 51, 2, -1310 in ascending order.\nAnswer: -1310, 2, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p = -324 + 328. Which is bigger: p or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 30*c + 0 + 0 - 38*c in the form b*c + r and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -558, 0.1, -8\/9?\nAnswer: -558","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 3887475.18 - 3887437.1800074. Let f = o - 38. What is f rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*l = -3*l, l = -5*v - 10. Let x be (0 - v\/(-2)) + 3. Suppose b - x = -b. Is b equal to 3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the third derivative of d**7\/70 - d**6\/20 - d**5\/5 + d**4\/4 + 3*d**3\/2 + 2*d**2. Suppose n(j) = 0. What is j?\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 20*y**2 - y - 6. Is z(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-296316)\/37040 + 8)\/(24\/32). Is p at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the first derivative of -t**4\/4 + 2*t**3\/3 - t**2\/2 - 8. Factor q(j).\nAnswer: -j*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (5\/10)\/((-1)\/(-60)). Suppose 0 = -3*a - 0*a + i. List the prime factors of (-4)\/(-3)*75\/a.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*z - 73*z = 16881. Let g be 0 + 4956\/z - (-70)\/14. Is 1 >= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = -u + 14. Let w be l(12). Let p be (12\/3 - w)\/2. Suppose -22*z = -18*z - 8. Solve z*o = -p - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -80*u - 2259. What is the remainder when d(-32) is divided by 75?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 35629436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1 - (-2 + -18*3) is divided by 20.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*r + 0*r + 0*r)*(2*r - r + 0*r) - 3 - r**2 + 3 + (-4 + 4 + 2*r**2)*(24 - 14 + 11).\nAnswer: 44*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 43577*u - 14*u**2 + 18*u**2 - 18*u**3 - 43577*u.\nAnswer: -18*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -1564 equal to 243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:44 AM and 11:29 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -5 + (5 - 9) + 6 - -4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**4)**(-17)\/(m\/(m\/(m**(1\/7)\/m*m*m))*m**(3\/16)) assuming m is positive.\nAnswer: m**(-7765\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -33 - -33. Let t = -0.03 - 0.97. Which is the second biggest value? (a) n (b) t (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 63\/27 - 1\/3 - 23177\/(-49). What is the highest common divisor of l and 760?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let i(m) = m + 7. What is i(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.29 - -25.11. Let l = -25 + h. Sort -0.1, l, 2 in descending order.\nAnswer: 2, l, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4 - 2 + 25*d**2 + 76*d + 39*d**2 + 10.\nAnswer: 4*(d + 1)*(16*d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-24)\/(-12))\/(6\/39). Suppose 0 = 4*n + 5 - c. Suppose n*s + 3*s - 400 = 0. Does 8 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -74 + 578. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2782 and 470931396.\nAnswer: 2782","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -11\/167 and -21\/11?\nAnswer: 1837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 + 1013?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes before 4:41 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -39072.43 * -243\nAnswer: 9494600.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 52, 54, 56, 58, 60?\n\"Answer: 2*l + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 5*w + 12. Let f be j(-2). Let i be ((-320)\/120)\/((-2)\/18*f). Calculate the greatest common factor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**2 + 9*k. Let u be f(9). Let r(n) be the second derivative of -1\/9*n**3 - 1\/9*n**2 - 1\/18*n**4 - 1\/90*n**5 + u + 2*n. Find y, given that r(y) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38362 is divided by 673.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 33537 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -170 at most as big as -161?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - 256860 - 37880 = -5*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/245 or -2.7?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -1971109407 minus 0.5?\nAnswer: -1971109407.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d be (6\/(-56))\/(6\/864). Let l = d - 351\/14. What is the common denominator of l and -67\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 4 + 0 + (-4 - -3). Suppose 0 = -m*f - 2*f - s + 18, 9 = 3*s. Suppose 5*l + 5 = 0, 3*l = -f*y - 0*y + 108. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j**2 + 3*j. Let h be q(3). Suppose h = 3*v - 5 + 14. Sort v, -5, 2.\nAnswer: -5, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -i**3 - 140*i**2 + 10*i + 29925 wrt i.\nAnswer: -3*i**2 - 280*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 33 and 2906959?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c - 17 = -3*u + 14, -3*u = -15. Let x = 7 + 7. Calculate the remainder when x is divided by 5\/(-15) - c\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 80 - 75. Suppose 0*k + 2*k + 5*i = 20, 30 = 3*k - h*i. Calculate the remainder when 27 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 153 minutes before 11:45 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -2*i**2*j - 3*i**2 + 407*i*j + 7*i wrt j?\nAnswer: -2*i**2 + 407*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -424.113 rounded to the nearest integer?\nAnswer: -424","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -240*-0.3.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is (-15650)\/(-1) - 13*4\/(-13) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*m - 4*m - 4*m)*(299 - 299 - 2*m**2).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-17)*14\/(-21)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -82 = 13*j - 368. Find the second derivative of 56*s**4 + 2 - s - 3 + 8 - 6*s + j*s**4 wrt s.\nAnswer: 936*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -3434 - -3437. What is the smallest common multiple of 750 and r?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) be the first derivative of -q**5\/60 - q**4\/8 - q**2 + 2. Let z(g) be the second derivative of k(g). Find the second derivative of z(c) wrt c.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 17.5 - 17. Let j = h + -0.4. What is j rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -116 + q**2 - 213 + 354.\nAnswer: q**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 712 and 2961208?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 134706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 30.4 - 29.5. What is the third smallest value in -2, -12, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -263738607 and 4?\nAnswer: 263738611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 227 + 53 - 31167*a + 63 + 31175*a.\nAnswer: 8*a + 343","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 0, 129239 in descending order.\nAnswer: 129239, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (27*h**3 + 28*h**3 - 78*h**3)*(0 - 1 + 0) + 0*h**3 + 0*h**3 - 4*h**3 to the form b*h**2 + i + j*h**3 + r*h and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 13) to base 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = 206*p**2 + 0*p + 1493*p**2 + 2*p - 1. Let m be a(1). What is m rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 16.22 (b) -0.03 (c) 0.05 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j = -w + 6, 0 = 5*w - 0*w - 5*j - 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1245 + 3134?\nAnswer: 4423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = -3*c - c + c - 4 + c. What are the prime factors of y(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -236, 32 in increasing order.\nAnswer: -236, -1, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is next in 59, 242, 547, 974, 1523, 2194, 2987?\nAnswer: 3902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a = -34 + 38. Suppose 3*v = -v + n + 43, 5*v + a*n = 80. Calculate the greatest common factor of v and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -401656981*d**3*p**4 - 353*d**3*p - 2*d**3 + d**2*p - 12119*d*p - 2*d + 1 wrt p.\nAnswer: -4819883772*d**3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (-249)\/(-2822)*(-153)\/(-27)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 12 + 30\/(-5) + 295?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f\/f**(1\/8)*f**(8\/7))\/(f\/f**2)**(-1\/13) assuming f is positive.\nAnswer: f**(1413\/728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 10 = -4*c. Let q be -1*(-2)\/c - -1. Which is greater: q or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 43 - e8169?\nAnswer: -e8126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) be the first derivative of 4*o**3\/3 - 5. Let d(k) = -2*k**2 - k**2 + k**2. Give d(u(f)).\nAnswer: -32*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 726*x**2 + 1030*x**2 + 9*x**3 - 83*x**2.\nAnswer: 9*x**3 + 1673*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 89 - 140 - (7 - -15 - 5)?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v, 1 q, and 1 a when four letters picked without replacement from {q: 2, f: 1, j: 6, v: 6, a: 2}?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c**4\/2 - 77*c**3\/6 + 83*c**2\/6 + 77*c\/6 - 40\/3 = 0. Calculate c.\nAnswer: -80\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q = 118\/509 - 64839\/185276. Calculate the common denominator of 83\/1976 and q.\nAnswer: 13832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = -x**3 + 3*x**2. Let s be z(3). Suppose 2*d - 8 = -s. Suppose -3*f + d*f - 6700000 = 0. What is f rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.8 + -3.8. What is the smallest value in 0.3, 5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*n + 33*n - 396 = 0. Let x = -126 + n. Suppose 3*g + 96 = x*g. Solve k + 2 + 14 = -4*o, -4*o = 5*k + g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = d**2 + 12*d - 28. Let b be h(-14). Suppose -5*s - 3*p = 10, -5*s + p + 1 + 9 = b. What is the smallest value in 2\/5, -0.05, s?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*s**2 + s + 4*s**3 - s + 5*s**2.\nAnswer: 4*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1804 + -1670. What is the remainder when 770 is divided by w?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = 34*d - 1. What is i(1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is t in -36*t**2 - 76*t - 8 = 0?\nAnswer: -2, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve j + 4*i = 25, j - 3*i = 3*j - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 120 minutes before 8:22 AM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i - 5 - 15 = 5*r, 0 = 5*i - 5*r - 20. Let s be -1 + (i - 2) + -1. Let j = 11 + -11. Which is the nearest to j? (a) 0.4 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000066356 rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-1)\/(21\/528))\/((-43)\/301) is divided by 31?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -485, -965, -1441, -1913, -2381, -2845?\nAnswer: -3305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (3 - 1)*(-7)\/(-70). Let q = -319.8 - -319.9. Let l = 19 - 17. Which is the nearest to q? (a) y (b) -4 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 81 + 163 = -24*z + 85*z. Let r(c) be the first derivative of -5\/2*c**2 - 7*c - 5\/3*c**3 + 33 + 1\/4*c**z. What is r(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 6*c + 4. Let b(y) = 25*y + 39. Let n(z) = -b(z) + 6*o(z). Determine n(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-119868)\/1071 + 112)\/(120\/(-18))?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 67 or -53517?\nAnswer: -53517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + sqrt(3)*3 + -3 + 3)**2.\nAnswer: 6*sqrt(3) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -49\/34308 and 57\/884384.\nAnswer: 7959456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 2, s: 5, d: 4}. Give prob of picking 1 s, 2 d, and 1 k.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b - 5*n + 5 = 0, -4*b + 4*n = -0 + 4. Suppose -33*s + 38*s - 325 = b. List the prime factors of s.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -48 = -3*r + 4*c - 53, 0 = 4*r + c - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q = -2*u - 26624, -u + 3*u + 4*q = -26656. What is u rounded to the nearest one thousand?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 7, u: 3, o: 4}. Give prob of picking 1 o, 1 q, and 2 u.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j + 5*i = 31, -9 = -2*j + 2160*i - 2163*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**2 + 3*m - 28. What is f(-6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3692 is divided by 267.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = 3*y**2 + 4*y - 10. Let v(u) = -4*u**2 - 5*u + 11. Let r(n) = 5*a(n) + 4*v(n). Suppose -5*m = -g + 25, 3*m + 16 - 1 = -4*g. Calculate r(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*g**5 + 23*g**4 + 71*g**3\/3 + 4*g**2\/3 - 4*g = 0. Calculate g.\nAnswer: -2, -3\/2, -2\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*i + 17*i + 54 - 214 = 0. Find g, given that -28*g**i + 8\/3 - 172\/3*g**3 - 28*g**2 + 4*g = 0.\nAnswer: -1, -1\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(1\/4)*a*a\/(a*a**2*a)*a)**5 assuming a is positive.\nAnswer: a**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 6*y - 2. Give b(-13).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) 0.15 (b) -3 (c) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = d**2 - 21*d + 21. Let n be x(20). Suppose 3*q - n + 145 = 0. Let s = q - -54. Let p(f) = f**3 - 5*f**2 - 5*f - 5. Give p(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 8, -1715, 3, -3 in descending order.\nAnswer: 8, 3, -3, -1715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 28.776522 months?\nAnswer: 0.0023980435","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 986 and 16269?\nAnswer: 32538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 12, -104, -12, 4, 0 in increasing order.\nAnswer: -104, -12, 0, 1, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = 11*n + 105. Let z be r(18). Let d = z + -302. Solve -t - d = 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 151 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply -14347 and -0.07.\nAnswer: 1004.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 2\/9, 12\/13, -8442?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -2*t**3 - 16*t**2 + 33*t + 405. What is f(-8)?\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((i*i\/((i**(1\/13)\/i)\/i))\/((((i**6\/i)\/i)\/i*i)\/i))**(-40))**(-17))**33 assuming i is positive.\nAnswer: i**(269280\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express -4263*k - 397*k - 1000*k in the form o*k + j and give o.\nAnswer: -5660","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 424 minutes after 3:25 AM?\nAnswer: 10:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 1 + 2)*(0 + 0 - 2*v + (1 + 1 - 1)*(v - 3 + 3)).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n + n + 2*n. Let h(r) = 2*r**2 + 55*r - 23. Let o be h(-28). Solve 3*k = 5*j - 26, n = -o*k - 16 + 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2585)\/(-44)*4 - -8. Calculate the highest common divisor of 405 and x.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 24 = 2*l, 4*l + 3*i = 6*i + 58. Solve 3*s + l - 1 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/17, -515, -5, -0.24, -4 in decreasing order.\nAnswer: 2\/17, -0.24, -4, -5, -515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -25, 4, 6, -3\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 18 = -2*x, -i - 6 = 2*x + 16. Let q = x + 16. Suppose 0*k - k + t + q = 0, 5*k - 3*t - 20 = 0. Solve 3*u = 16 - k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 49 or 39?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1329159243 and -2.\nAnswer: -2658318486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 813897134?\nAnswer: 2, 17, 23938151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2354\/107)\/(15\/(525\/(-14))).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = h - 5*h, 0 = 5*h - 4*q - 9. Suppose -j - c + 28 = 0, -4*j + 4*c = h*c - 124. Calculate the remainder when 126 is divided by j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.0453 - -0.0547. Let n = -12.8 - -12. What is the fourth smallest value in j, -5, 1\/6, n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-18)\/(-24) + 2\/1. What is the second smallest value in 4, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 257, 0, 1, -5 in descending order.\nAnswer: 257, 1, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -68494, -137867, -207240, -276613?\n\"Answer: -69373*b + 879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = 9*m**2 - 2399*m + 104642. Calculate c(55).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 438149 is divided by 150?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 - 35 = -7*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -2 - 6*s**2 + 7959*s**3 + s - 7962*s**3 - 2*s as o*s**3 + m*s + l*s**2 + t and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -348\/1117?\nAnswer: -348\/1117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 8*h**2 + 955*h - 8749. What is m(9)?\nAnswer: 494","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*v + 52*v**2 - 98*v + 2*v**3 - 51*v**2)*(-5*v**2 + 5*v**2 + 2*v**2).\nAnswer: 4*v**5 + 2*v**4 - 206*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -11 - (-10 + 11 + -8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = -185 - -185. Is -4\/123 less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 11304?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g = -8004\/7 + 1143. What is the fifth biggest value in g, 1\/3, 3, 4, 1\/2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 divided by 111?\nAnswer: -7\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is next in 627, 1340, 2053, 2766?\nAnswer: 3479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 31110153 to the power of 1\/3, to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 4 = 3*d + 3, -d + 3 = 0. Suppose 5*c = w*c + 2. Let m(o) = -c - 5*o - 4*o + 8 + o**2 + o. Calculate m(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -33616647.1 rounded to the nearest 1000000?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -433338523 and 0.035789?\nAnswer: 433338523.035789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u be 36\/27*3\/(-2). Let j = -47 + u. What is the units digit of -10 + 14 - 1*j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 1, 2, 214, -63, -3, -5 in increasing order.\nAnswer: -63, -5, -3, 0, 1, 2, 214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i be -2*2 + -2 + -2. Let s(z) = 70*z + 1051. Let r be s(-15). Put r, i, 2 in increasing order.\nAnswer: i, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -32, -294, -1034, -2492, -4908, -8522, -13574?\n\"Answer: -40*f**3 + f**2 + 15*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 64 is divided by 32.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 2*j**3 + 5*j**2 + j - 35. Give z(4).\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 9.68 take away -272?\nAnswer: 281.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: ((3150\/1022)\/75)\/(3\/2)\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-60)\/105)\/(2\/(-721)). Suppose 59 = z - n, 4*z - m = -n - n. What is the remainder when z is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -2*d**2. Let g(b) = -98*b**2 - 94*b**2 - b**2 - 445*b**2. Calculate j(g(k)).\nAnswer: -814088*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 103 minutes before 11:12 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k**2 - 9*k - 6. Let l be u(-7). Let o = -5 + l. Find z such that -z**2 + o - 4 - z + 3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 2947558543?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 169471926 and 468?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -3*l**3 - 2*l**2 + 4. Give s(2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -640904, -2563630, -5768180, -10254554, -16022752, -23072774?\n\"Answer: -640912*r**2 + 10*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3)\/(-2)*(-96 + 94)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 2299 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the first derivative of 27*a**4\/4 - 47*a**3 - 174*a**2 + 84*a + 1348. Suppose d(n) = 0. Calculate n.\nAnswer: -2, 2\/9, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1644021.4 rounded to the nearest 1000?\nAnswer: -1644000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -1 - 133*w + 2 + 138*w - w**2. Calculate k(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1794955 divided by 5.\nAnswer: 358991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let n = 4 + -3. Let u(i) = 3*i**2 - i + 1. Let m be u(1). Suppose -n = 2*l + m. What is the smallest value in -0.4, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z\/((z*(z\/z**(1\/4)*z)\/z)\/z*z)*z)\/z*z)\/z**(1\/11)*z**0*z**5\/z*z*((z**(-1))**(-26))**27 assuming z is positive.\nAnswer: z**(31159\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find o, given that -3*o**4\/8 + 382431*o**3\/4 - 48763392843*o**2\/8 + 194980150764*o - 1559645426016 = 0.\nAnswer: 16, 127461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 30023112022 (base 4) to base 13.\nAnswer: 879ca0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -32421212440 - 4?\nAnswer: -32421212444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c = 12.709 + 0.091. Let s = -11 + c. Round s to 0 dps.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11 - 11.0145. Round g to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 199144 to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -73\/5 smaller than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: (1 - (1 + 1)) + 2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vjgjgpwwgvwpgvwogg. Give prob of picking 1 o and 3 w.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 10430361 and 23157.\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = 6*v**3 - 392*v**2 + 30*v + 321. List the prime factors of p(68).\nAnswer: 5, 15269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5195281 minutes in microseconds?\nAnswer: 31171686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 32355088 is divided by 400.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -s - 1 = -0*y + y, -12 = 4*s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = -109.84 - -109.9. What is t rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2 + 2*l - 2)*(0 + 7 - 5)*(-52 - 125 + 59) to the form z + d*l and give d.\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1904 and 952?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Multiply -226.72 and 0.14.\nAnswer: -31.7408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l and 1 u when two letters picked without replacement from {n: 1, l: 1, u: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p - h = -0*p + 28, 5*p + 5*h = 10. Suppose p*z + 246 = -x + 1983, -4*x + 8 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -99\/124 and 23\/124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = 3*l**2. Let g(v) be the second derivative of 25\/12*v**4 - 16*v + 0 + 0*v**3 + 0*v**2. What is g(n(j))?\nAnswer: 225*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*s**2 - 333695202*s + 9279373986485067.\nAnswer: 3*(s - 55615867)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -65.7 take away -195?\nAnswer: 129.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*-1*sqrt(104))\/(3*sqrt(16)\/sqrt(2)) + (sqrt(637)*2 + 0 + sqrt(637)*2*4)**2 + -4.\nAnswer: -sqrt(13)\/3 + 63696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c - 173 = -c + 19. Let y be 1 + (24 - -1) - 1. Let t = y - 17. Calculate the greatest common divisor of t and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -2707*g**2 - 10*g - 2956. Let a(c) = -2702*c**2 - 11*c - 2956. Let v(u) = 10*a(u) - 11*p(u). What is the first derivative of v(q) wrt q?\nAnswer: 5514*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 327294 and 454575?\nAnswer: 8182350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be (15\/(-28))\/(1080\/(-2520)). Sort -142\/3, -0.1, -4\/3, x.\nAnswer: -142\/3, -4\/3, -0.1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.03105298675 to 5 dps.\nAnswer: -0.03105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -229 less than -230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -100011101001101 (base 2) in base 4?\nAnswer: -10131031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -10*t**2 - 2*t - 2. Let x be 2\/(1\/(-2)*4). Let q be o(x). Let w be (2 - 12)\/(5\/q). Solve -2*n + 1 = -2*r + r, 4*r = -4*n + w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -13 + (21 + -19 - (3 - -9))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = -3*t + 21. Calculate the remainder when 11 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 5 + -1. Let f(k) = 1001*k - 11. Let m be f(1). Suppose 24*r - m = 90. Solve 4*o + 3*w + 35 = 0, h*w = -0*o - 5*o - r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(1\/19)*p\/(p*(p**(-2\/15)\/p)\/p) assuming p is positive.\nAnswer: p**(623\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = -2*p**2 + 25*p - 6. Let k(s) = 3*s**2 - 38*s + 9. Let b(x) = 5*k(x) + 8*m(x). Let l = -8 - -13. Give b(l).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 26874399?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 115 a factor of 41348825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 458.9082, 1\/3 in increasing order.\nAnswer: 1\/3, 1, 458.9082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f + 0*f = 16. Let i = f + -12. Let t(g) = 5*g - 11. Let w(n) = 3*n - 6. Calculate i*t(j) + 7*w(j).\nAnswer: j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*v + v + 15. Let m = 10 - 6. Suppose m*b = -i - v, -7*b + 12 = 4*i - 3*b. Solve 12 + 8 = -i*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 + -312587?\nAnswer: -312584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 26 = 12*z + 13*z - 49 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 7 = -9. Let t = r - -6. Let q = 0 - t. What is the least common multiple of 12 and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1719253 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -5 - 2432131305?\nAnswer: -2432131314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o be -6*(51\/6 + -2). Let n be o\/60 + (-6)\/10. What is the fourth biggest value in 15, 1, -0.1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3466 to the power of 1\/2, to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -p**3 + 4*p**2 - 2*p - 1. Let u(k) = k**2 - 9*k + 3. Let v be u(0). Calculate h(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 5\/4 (b) -3 (c) 2 (d) 1\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*s**2 + 15*s.\nAnswer: 5*s*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is q in -2*q**3\/7 + 30*q**2\/7 - 16*q = 0?\nAnswer: 0, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 23823212 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (2 + -1)\/(6\/(-7380)*-1)?\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1.12 and -0.2?\nAnswer: -0.224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -347d77 - 3?\nAnswer: -347d7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1030)\/(-375) + (-4)\/50. Let -4\/3*f**3 + 2*f**4 + 2\/3 + 4\/3*f - r*f**2 = 0. What is f?\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 661*o**2 - 457*o**2 - 204*o**2 + 2*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 5485 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 80701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) be the first derivative of -14*g + 1 + 0*g**3 + 0*g**2 - 23\/4*g**4. Differentiate w(n) wrt n.\nAnswer: -69*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 10*w - 91 - 5*w - 703*w**2 - 8*w + 1 + 706*w**2.\nAnswer: 3*(w - 6)*(w + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -16 - 2. Let o = 49 + p. What are the prime factors of o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h\/(h*h**(2\/13)*h))\/(h**16\/h))\/(h*h**(-2\/13)*h\/(h\/(h\/h**(-17)))))**(1\/43) assuming h is positive.\nAnswer: h**(-35\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 6\/25 of a millimeter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -0.254743268 to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify h**0*h*h*h*h**(-8)*h**(3\/4)\/h*h*h\/h**(2\/7)*h*h**8\/h**(2\/13)*(h*((h*h*h**(-4)*h)\/h)\/h)\/h*h*h**(2\/7)*h*h assuming h is positive.\nAnswer: h**(291\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (j - 2*j + 0*j)*(-3*j**3 + 3*j**3 + j**4) - 4*j**5 + 4*j**5 - 32*j**5.\nAnswer: -33*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c + 517 = -4*x + 521, -4*x + 24 = 6*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rl when two letters picked without replacement from vslrhrr.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:24 PM and 6:02 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*h = 4*z - 3*h - 396, -297 = -3*z - h. Suppose -z = -2*i - i. Is i a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -102*g + 606 - 1218 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -996305, -1992522, -2988739, -3984956, -4981173, -5977390?\n\"Answer: -996217*v - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-26)\/39*(-9)\/(-534). Let h = 260\/623 - n. Which is the nearest to -1? (a) -3\/2 (b) 3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 358\/9 or 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 156867291*r**2*u**3 + 289957*r**2*u**2 - 2*r**2*u - 2*r*u**2 + u wrt u?\nAnswer: 941203746*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000120376 to 5 dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 404941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 71, 220, 475, 830, 1279, 1816?\n\"Answer: -w**3 + 59*w**2 - 21*w + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 73, 93, 133, 205, 321, 493, 733, 1053?\n\"Answer: 2*t**3 - 2*t**2 + 12*t + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) be the second derivative of f**5\/90 - 47*f**4\/3 - 847*f**3\/27 + 765*f. Let y(h) = 0. What is h?\nAnswer: -1, 0, 847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 165, -1588, -5273, -10890?\n\"Answer: -966*y**2 + 1145*y - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7799 is divided by 200?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2140*t**3 - 1758*t**2 wrt t?\nAnswer: 12840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 11676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than 7\/178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -5828.72 rounded to the nearest 100?\nAnswer: -5800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d = 143 - 155. Calculate the remainder when 64\/(-12)*162\/d is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 85\/414 + 16019\/55062. Let l = c + -4\/19. What is the second biggest value in l, 0.5, 0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 383319 to the power of 1\/2, to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*n + 4*n. Solve 5*z - 21 = 2*f, 5*z + 4*f - 3 = -n for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z**16*z)\/z)**42)**(-9) assuming z is positive.\nAnswer: z**(-6048)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Express (4 - 1 - 2)*(-14*o**2 + 4*o + 91 + 91 - 183) in the form t*o**2 + v + i*o and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 597?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2481?\nAnswer: 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 2116 a factor of 9532344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} {"text":"Question: Suppose u = 4, -i - u + 130 + 6 = 0. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 77 - 81 = 42*o - 340 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14256603 divided by 54623.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 180018926 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 112, 449, 1008, 1789?\n\"Answer: 111*c**2 + 4*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 135429756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*c**2 + 314560 + 12*c**2 - 314553.\nAnswer: 8*c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 54 - 0 - (-1 - 23 - (-47 - -25)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -f**2 + 2*f. Let t(u) = 3*u**2 + 17*u + 1. Calculate -4*n(x) - t(x).\nAnswer: x**2 - 25*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**2 + 11*m - 14. Let i be b(11). Let q = -12 - i. Solve -q*j - 10 = 0, 2*t + 4*j = -0*j - 10 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 120 divide 2640691560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.138 (b) -1\/4 (c) 0.6 (d) -3\/5 (e) 0.2 (f) 1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be (2\/2)\/(-3 - -2). Let g = 16 - 116. What are the prime factors of h\/(-3 - g\/34)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ozp when three letters picked without replacement from {p: 4, z: 11, o: 3}.\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 150*l**5 - l**3 + 501*l?\nAnswer: 3000*l**3 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*k - 5*k + 3*k)*(2 - 1 - 3)*((2*k + 0 + 0)*(-14 + 9 + 12) + (2*k + 0 + 0)*(0 + 4 - 2)).\nAnswer: -72*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0 (b) 3\/10 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t + 20890 = 5*r, -5*r = -8*r - t + 12523. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 562, 1, 4, 0.142, -1\/3, -1 in decreasing order.\nAnswer: 562, 4, 1, 0.142, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: ((-1)\/(-4))\/((-8)\/8)*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = r**3 - 8*r**2 + 12*r - 28. Let z be l(13). Suppose -z = 5*v - 163. Let g = -16 - v. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sf when two letters picked without replacement from {k: 2, s: 5, f: 9, g: 3}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -91\/13375632 and -107\/2424.\nAnswer: 13375632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z**4\/4 + 231*z**3 + 53361*z**2\/2 + 1369599*z + 105459123\/4 = 0. What is z?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let -4*f**4 - 47905128*f**3 - 143431378448644*f**2 - 286862613181920*f - 143431282638400 = 0. What is f?\nAnswer: -5988140, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose b - 3*g = -4*b + 281, 5*b - 277 = g. Suppose 2*w + 10 = 0, -4*w = 3*x + 5 + 30. Let i(r) = 3*r + 27. What is the remainder when b is divided by i(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 7\/12 or -3958?\nAnswer: -3958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) be the second derivative of 0*c**3 + 0*c**4 + 4\/15*c**6 + 0 + 0*c**5 - 11\/2*c**2 - 15*c. What is the derivative of d(f) wrt f?\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-7 - (-2 - -7)) + -27 + -8 + 47?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 4877089125 a multiple of 766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 9127, 36483, 82079, 145909, 227967?\n\"Answer: -z**3 + 9126*z**2 - 15*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 22341 and 231.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 0*v - 3*v - v)*(-5 + 5 + 2).\nAnswer: -8*v - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4\/(-16)*-8 - -2*1. Let o(b) be the second derivative of 5*b + 1\/5*b**2 + 0 + 2\/5*b**3 + 3\/10*b**f. Factor o(g).\nAnswer: 2*(3*g + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 2438411488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from urugczrcrurrzcrure.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 160, -21, 2.\nAnswer: -21, 2, 160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 43*q - 1005 = 1747. Calculate the smallest common multiple of q and 16.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*f + 3*m + 470, -f + m + 59 = -58. Suppose -2*p = 4*a - 228, 0 = -3*a - p - 57 + 222. Calculate the greatest common divisor of f and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6922577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 194*i + 4 - 4 - 191*i.\nAnswer: 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7922 - -19716. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/7008 and -113\/127773360.\nAnswer: 255546720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*l, 0 = 2*d - 0*d - 3*l - 16. Let i(c) = c + 17. Let b be i(d). Let z(y) = -25 + b + 4*y. Let x(f) = 2*f**2. Give z(x(u)).\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*o = 5*f - 110, o + 29 = 36. Solve f*h - 8 = -68 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (18\/(-14))\/((-14728)\/(-927864)).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 145 - 291 + 148 - n**2. Let h(z) = -z**2 - 1. Let w(r) = 2*h(r) - 3*o(r). Calculate w(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y + 3*d + 16 = 0, -y + 3*y + 23 = -3*d. Let s be (((-399)\/6)\/y + 1)*2. Suppose 166 = s*w - 20*w. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:27 AM and 6:43 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**2 - 3*c + 1. Let y = -589 - -585. Suppose -2*t + 6 = -4*d, -5*t + 4*d + 15 = 3*d. Let l be 6 + y\/t*3. What is s(l)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = c**3 + 6*c**2 + 5*c - 4. Let h be o(-4). Suppose -5*t = 2*p - 20, 2*p = -0*p + t + h. List the prime factors of p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 1085\/1176 - (-8)\/28 and 43\/27.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 324282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = 12.974 + -13. Let p = -0.065 - m. What is p rounded to two dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -317 - 5?\nAnswer: -324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -11*m + 303. What is the least common multiple of k(25) and 2009?\nAnswer: 8036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 1, 34, -4, 26901, -2 in ascending order.\nAnswer: -5, -4, -2, 1, 34, 26901","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -3 + 9*f + 104*f**2 - 106*f**2 - 2*f. Let b be t(3). Suppose 243 = 2*h - b*m - m, 2*h = 5*m + 239. Is 25 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 78.5 + -78.5499. Let l = j - -143.1499. Let d = l - 143. Which is smaller: 1\/32 or d?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -88235.7 and 0.4.\nAnswer: -88235.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3, -32084, -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1899 divided by 23.\nAnswer: -1899\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -51*p = -52*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 4*f. Suppose f = -3*l - l + 48. Calculate the greatest common factor of l and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*d - 3*b = -12, 0 = -48*d + 50*d - 2*b + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1117 (base 14) in base 5?\nAnswer: -43321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5963500 rounded to the nearest 100000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = -349 + 824. Let r be 6 - (-4 + s\/30). Which is bigger: -6 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = 24*m**2 + m - 1. Let q be t(2). Let s be ((-1)\/3)\/(-27 - (-79926)\/2961). Suppose u + s = 2*o - 20, 3*o + 2*u - q = 0. Which is smaller: 34 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 136 minutes before 12:00 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (90\/20*1\/27)\/(53\/12)\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 10, v: 2}. Give prob of sequence vwvw.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 336*l - 2022 = 1338 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j - 9 = -5*j, -5*r - 4*j + 32 = 0. Let q = 16 + -13. Suppose -q*k - 23 = -2*k - 5*v, -28 = -4*k - r*v. Solve -3*a - k = -17 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 222 (b) -5703 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*a - 4*i = 445, -74 = -2*a + 2*i + 106. Let l = -86 + 120. Calculate the greatest common divisor of a and l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*t + 3*t - 2*j = -4, t = j for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = v + 4*f + 123, -42*f - 1305 = 9549*v - 9552*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -112*g + 12342 + 874 = 0. What is the remainder when g is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*b**2 - b**4 + 3*b**2)*(-54 - 106 - 102) + (-3*b - b**2 + 3*b)*(-3*b**2 + 2*b**2 - b**2).\nAnswer: 264*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 84 and 294.\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 3199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z = 49 - 59. Let f be (-2)\/(z\/(-15)) - (-14 - -1). Solve -i + f = -6*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 12 + (47 - (23 - -33)) - (78 + -1 + -1)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(t) = 40*t**2 + 4*t - 2. Let u be (-15)\/(-10) + (-127)\/(-2). Let v = u + -64. Is z(v) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-490)\/18865*(7 + 0)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**5\/o*o)\/o*o*o*o\/o**(4\/5)*o*o*((o\/o**1)\/o)**31 assuming o is positive.\nAnswer: o**(-109\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3)\/(-1) - 5675\/585. Let y = -90\/13 - d. What is the biggest value in -2\/17, y, -0.4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) be the first derivative of -7*w**6\/3 + 888*w**5\/5 + 5071*w**4\/14 - 8476*w**3\/21 - 3372*w**2\/7 - 1040*w\/7 - 1701. Find s such that v(s) = 0.\nAnswer: -2, -2\/7, 1, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) be the second derivative of -c**5\/20 - 7*c**4\/12 - 5*c**3\/6 + c. Let x be o(-6). What is the units digit of x*3\/6*-2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 73 - 69. Let g = -0.9 + 1. Put 0.2, p, g in decreasing order.\nAnswer: p, 0.2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 22, -1, 1, -5 in descending order.\nAnswer: 22, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many nanograms are there in 4.947596ug?\nAnswer: 4947.596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1528*d**2 + 1 - 320*d**2 - 80*d**2 + 1093*d**2.\nAnswer: 2221*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000967 rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*r + 3*b + 64, -232*b - 64 = 4*r - 236*b for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 42*d**2*p**4 - 6*d**2*p**2 + 2415*d**2 wrt p.\nAnswer: 168*d**2*p**3 - 12*d**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f**4\/3 + 67*f**3\/3 - 43*f**2\/3 - 305*f - 75 = 0. Calculate f.\nAnswer: -3, -1\/4, 5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify k*k**(-1\/9)*k**(2\/3)*(k**(-2))**(2\/71) assuming k is positive.\nAnswer: k**(958\/639)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 68985?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 35 = -3*b, 0*i + 3*b = 2*i - 5. Let j(h) = 3201*h**2 - 12*h + 20. Let d be j(i). Round d to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 48*t**4 + t**3 - t**2 + 477*t + 5?\nAnswer: 576*t**2 + 6*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6 - -5. Let i = 1129\/9 + -125. Let p = i + -23\/72. Does l = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1139\/((-1037)\/(-2257)*37)?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -24*a - 56. What is the units digit of r(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r - 3 = v, 0*r - r = 3*v + 1. Let m be ((-3)\/28)\/((-1)\/r). Let q be 1\/(-2) - (-26)\/28. Which is the third smallest value? (a) m (b) q (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sttssstssstsss. What is prob of picking 1 s and 2 t?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -6*s**3 + 50*s**2 - 13*s. Let b be m(8). Sort -3, b, -1 in decreasing order.\nAnswer: b, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-418)\/(-8) + 3\/(-12). Let f = b + -36. Does 7 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -20 + 72278\nAnswer: 72258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 5*u**3 - 5*u**2. Let c be l(2). Solve -2*m + 5*b = 25, -4*b = 6*m - m - c for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 37*f**2 - 57*f - 17. Is d(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the second derivative of -21*q**5\/20 + 49*q**4\/12 - 9*q**2\/2 + 14*q. Let l(m) = -10*m**3 + 24*m**2 - 4. Let j(a) = -9*l(a) + 4*u(a). Factor j(y).\nAnswer: 2*y**2*(3*y - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -458*i**3*r**2*u**2 + i**3*r*u**2 - 2*i*r**2*u**2 - 4*i*r*u + 2*r**2*u**2 + 16*u**2 wrt i?\nAnswer: -2748*i*r**2*u**2 + 6*i*r*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 6.2 + -3.2. Which is the fourth biggest value? (a) 4 (b) -0.3 (c) -0.4 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2254327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(396) - 1*sqrt(396)) + sqrt(44))*-5*-3)\/((sqrt(32)\/sqrt(4)*3 + sqrt(8))\/(sqrt(2) + (sqrt(2) - sqrt(288)*1))))**2.\nAnswer: 61875\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5 + 3 - 2)*(-2*x + 5*x - 1 - x).\nAnswer: -8*x + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = v**3 + 10*v**2 - 14*v + 5. Is y(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*d + 21 = -2*z, 4*d + 8 = -5*z + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 3431 + (8 + 3 - (-539)\/(-49))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 73*w**3 + 5*w**2 + 2*w - 9. Is d(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (0 - 0)\/(-1*2). Let h = 4 - c. Suppose 4*n = 3*p + 24797, -h*n - 3*p + 19898 = -4905. Round n to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -93 in 2, -1\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p. Suppose -3*u = 5*d + 15, -2*d = 7 - 1. Let s(z) = 3*z**2 - z**2 - 14*z - 3*z**2 - z**2 + u*z**2. Give k(s(m)).\nAnswer: -2*m**2 - 14*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Round -77.307368 to 0 dps.\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 11633309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 20536 and 84.\nAnswer: 431256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -k**3 - 3*k**2 + 4*k - 5. Let x be j(-6). Let n = -54 + x. Suppose -5*u - 5*i = -n, 4*u - i - 24 = 1. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6147?\nAnswer: 3, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 1, o: 1, s: 1, e: 2, m: 1, k: 1}. Give prob of picking 1 o, 1 l, and 1 s.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -93*n*q**4 + 96*n*q - 8*q**5 + q**4 - 68*q**2 + 3 wrt q?\nAnswer: -2232*n*q - 480*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(136) - (sqrt(136) + sqrt(136)*-3*-3)) + 6*2*sqrt(136))\/(sqrt(32)\/(sqrt(64) - sqrt(64)*-4)))**2.\nAnswer: 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 3, q: 3, m: 2, c: 7}. Give prob of sequence wqmw.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**2 - 9*r + 3. Let y(j) = 14*j**2 - 5*j - 6. Let w be y(-1). Let p be d(w). Find the third derivative of p*a**4 + 2*a**2 - 73*a**4 - a**2 wrt a.\nAnswer: -432*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 90 = 5*l. Let u(k) = 6*k**2 - 17*k**3 + 0 + l*k**3 + 7 + 8*k. Calculate u(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -3*k**2. Let t(q) be the first derivative of -3*q**2 - 2. Give o(t(y)).\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 179480?\nAnswer: 2, 5, 7, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = 21403 - 21392. Which is the closest to -1\/7? (a) 6 (b) -5 (c) y (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) be the second derivative of 239*a + 113\/12*a**4 + 0 + 0*a**3 + 0*a**2 - 61\/20*a**5. Find the third derivative of m(k) wrt k.\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -4*s - 6. Let l(y) = -y**2 + 42*y - 36. Let b be l(30). Let q = -321 + b. Let r(c) = -c - 1. Calculate q*r(g) - a(g).\nAnswer: g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 325 minutes after 3:40 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.01? (a) 30 (b) -3 (c) -0.3 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0 + 1. Let r be 2\/16*4*(-7)\/21. Which is the second smallest value? (a) y (b) r (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1269179 is divided by 317287?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 1641 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: Expand 5*y**2 - 5*y**2 - 5*y**3 - 2*y**3 - 3*y + 3*y + (-3*y**3 - 2*y + 2*y)*(4 - 1 + 0).\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is b7 + 86?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = 4*c + 1. Let b(i) be the third derivative of -i**4\/12 + 5*i**2. What is -7*b(w) - 3*s(w)?\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000845 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 9b0752 (base 12) to base 10\nAnswer: 2468654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 685819 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 9*i - 39*i - 330 = 0 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 265 - 375. Let c = 116 + s. Let b(v) = -3*v + 7. Determine b(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 78100 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*q**2 - q**2 + 3*q**2)*(-4*q**2 + 6*q**2 + 0*q**2) - 23*q**4 - 18*q**4 - 19*q**4.\nAnswer: -64*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**34*(f**(31\/3)\/f)\/f)\/(f*f**15*f**(-22)\/f) assuming f is positive.\nAnswer: f**(148\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -g**3*o*w + 3*g**3*o + 12*g**2*o*w + g*o*w - 18*g*w + 14*o wrt g?\nAnswer: -6*g*o*w + 18*g*o + 24*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3.035 - 0.065. Let o = -0.07 - -3.07. Let j = o + i. What is the closest to j in -1\/5, -5, 0.4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -22529*i*o**3 - 9*i*o**2 - i*o - i - 9*o**3 - 8*o**2 + 177*o - 3 wrt i.\nAnswer: -22529*o**3 - 9*o**2 - o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v - 19 = 5*p, v - 4*p - 5 = -0*p. Let h(l) = l**2 - 15*l - 28. Calculate h(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -169*d**5 + 166937*d**4 + 363136543*d?\nAnswer: -3380*d**3 + 2003244*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = 4*q - 9*q. Suppose -q*h + 0*h + 4 = 0. What is the third derivative of -4*t**3 - t**5 + 4*t**3 - t**h wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - (4 + -3 - 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = 7154*l - 35804. What is s(5)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -39 - -27. Let m be 8\/u - (-14995280)\/3. Suppose f + m = -4101574. What is f rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 1817 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 582 minutes after 7:16 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 4\/45 and (18 + -1)*(9\/(-6) - -4).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -14, -107, -210, -329, -470, -639?\n\"Answer: -i**3 + i**2 - 89*i + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 12*l**2. Let u(x) = 25795*x. What is q(u(f))?\nAnswer: 7984584300*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -l - 2*l + l - 5 + 5 - 2*l + (-4*l + l - 2*l)*(2 - 2 - 1) + 5*l - 6*l + 24*l to the form u + i*l and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 419331020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h - 3*y + 7*y - 3, 2*y = -3*h + 47. Calculate the remainder when h is divided by 3\/1 - (-2)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 35550182, 71100364, 106650546, 142200728, 177750910, 213301092?\n\"Answer: 35550182*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 28, -2\/11, -5, -0.5, -206?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -60 + -5?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-8)\/(-18)*-3*-3. Factor 4*b**2 + 2\/3 + 8\/3*b + 8\/3*b**3 + 2\/3*b**p.\nAnswer: 2*(b + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -459 + 433.48. Let k = n - -8.6. Let m = -17 - k. Round m to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ffjjijiiiif. Give prob of picking 2 f and 1 j.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: -1a89 (base 13) to base 7\nAnswer: -14443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -35670 divided by 2?\nAnswer: -17835","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 11*w + 13. Is r(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 185*c = 446 + 3994. What is the remainder when ((-24)\/(-14))\/((-6)\/(-483)) is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 10}. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is f in 3*f**5 - 315*f**4 + 1122*f**3 + 9390*f**2 - 29925*f - 37875 = 0?\nAnswer: -5, -1, 5, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 4\/7, -2\/9, -43, 2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express -41*x**2 + 72*x**2 - 40*x**2 as u + d*x + h*x**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 53 a factor of 105675254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 97.609277 rounded to 0 decimal places?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 278 - 278 + 726*x as m*x + j and give m.\nAnswer: 726","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 222*a - 1. Let v(l) = -l - 3. Let d be v(-4). Let c be s(d). Let y = c - 1987\/9. What is the nearest to 2\/7 in -1\/2, y, -2\/11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -46*n + 21 = -43*n. What is the least common multiple of n and 3 + (-4 - -2) - -3?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.625 to 2 decimal places.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = -a**3 + 28*a**2 + 97*a + 12. Let p be i(-3). Suppose -4*m - 5 + 1 = 0. What is the third smallest value in -0.01, m, -3, p?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 89 = 5*q, -4*r + q + 56 = -45. Suppose 29 = -3*g + 74. Let a be r - 1*g\/(-3). Solve 3*v + v + a = -3*l, v + 5*l = -29 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/4 - 345\/(-30). Let l be s + 3 + (-1 - 1). Let z = l - -7. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -8*((-4)\/(-8)*-15 - -5). List the prime factors of p\/28 - (-7752)\/84.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = 355*d - 316. Calculate q(2).\nAnswer: 394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Work out -65.825421 * 1.\nAnswer: -65.825421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (24\/(-1428)*-28)\/((-460)\/(-31280)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 9 = 2*d. Let m be -2*(-4)\/(24\/d). What is the remainder when 13 is divided by ((-1)\/m)\/(7\/(-105))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6 + 0*d**4 - 6*d**4 - 6*d**2 + 6 wrt d.\nAnswer: -144*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -352522\/9 - -38958. Is n bigger than -212?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -282*o + 282*o - o**2 - 2*o**3 - 2*o**4 - 2*o**4 - o**4 + o**4 + (2*o**3 - 4*o**2 + 4*o**2)*(0*o - 4*o + 2*o).\nAnswer: -8*o**4 - 2*o**3 - o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = x**3 + 2*x - 67. List the prime factors of m(10).\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 24 = q, n + 531 = 2*q + 508. Calculate the highest common factor of q and 11578.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -219, -401, 3.\nAnswer: -401, -219, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -4 divided by -6915?\nAnswer: 4\/6915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6 + 2152890302*u**2 - u - 2152890311*u**2 + u + 6.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*i - 56*i = -29*i - 304 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1050996\/287 - 3662. What is the smallest value in i, -2\/15, -0.1, 2\/19?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 20\/14 - 18\/42. Let j(c) be the third derivative of -3*c**4\/4 - 37*c**3\/6 - 4*c**2 - 3. Let l be j(-2). What is the closest to z in l, -2\/3, -0.19?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 185570 and 801185?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -11\/15762 and 41\/278462?\nAnswer: 835386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -32 + (14 - (-8 - -3) - 18 - 1).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = a**2 - 6*a - 6. Suppose 34 + 40 = -u + 3*v, -v = -2*u - 158. Let j = u + 89. Let b be j - (2 + 0\/1). Calculate d(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -z**3 - 2*z**2 + 3*z + 9. Determine g(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3595960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k = 0 - -107. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d*d**4\/d)**45)**(-5\/8) assuming d is positive.\nAnswer: d**(-1125\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5 - 7830\/(-170)) + 77\/(-1309).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 5*d. Let s(u) = -52*u + 2. Determine a(s(k)).\nAnswer: -260*k + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -52 by 15.\nAnswer: -52\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = 5*t**3 - 8*t - 2. Suppose -40 - 41 = 22*q + 29. Let u(i) = -11*i**3 + 17*i + 5. Give q*s(l) - 2*u(l).\nAnswer: -3*l**3 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1\/160 + 313\/1120. Let o be ((-6)\/4)\/(6\/40*-4). Let f = 4 - 23. What is the closest to -2\/3 in o, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 259568478 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -b17d37 (base 16) to base 2.\nAnswer: -101100010111110100110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -164 rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 2*f - 18 = -7*f, 3*f = 5*v + 14. Let b be ((-1)\/3)\/(v\/15). Find the third derivative of 30*u - 30*u + b*u**2 + 4*u**3 + 4*u**2 wrt u.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = u**2 + 3*u - 5. Let f be x(2). What is the highest common factor of f and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.34292376 rounded to 4 decimal places?\nAnswer: 2.3429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert -93e239 (base 16) to base 8.\nAnswer: -44761071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = 254*h + 567. Let s be r(-2). Solve 42*q = -227 + s for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -14*m**3 + 53*m**3 - 41*m**3 - 2332*m + 2332*m.\nAnswer: -2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12297, 49155, 110585, 196587?\nAnswer: 307161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2\/55 (b) 42 (c) -3\/13 (d) -1\/2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 192 and 79704.\nAnswer: 637632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*z**2 + 4 + 6 - 3*z - 7 to the form s*z**2 + n + f*z and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Do 1 and -1625\/18 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-1910)\/6)\/(8\/(48\/(-2))).\nAnswer: 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(d) = -7*d**3 + 3*d**2 - 2*d + 2. Let c(k) = -22*k**3 + 9*k**2 - 7*k + 7. Calculate -2*c(h) + 7*x(h).\nAnswer: -5*h**3 + 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of 52 and -1.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = 5*w - 2. Let q(t) = 4 + 5*t - 6*t + w. Let i be (1 - (-72)\/8 - 10)*1. Determine q(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f - 155*t = -156*t - 135, f + 5*t + 27 = 0 for f.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 1882579370?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1360.424 - 1.576. Let m = w + 817. Let j = m + 544.9999767. What is j rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-6*t**3 + t**3 - t**3)*(-2 + 2 - 2*t) in the form q*t**2 + x*t**4 + g + o*t**3 + a*t and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 56 times 5?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve g - 4*g = -6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 38*y + 114 = 57*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = g**3 + 69*g**2 + 164*g - 388. Give b(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {f: 1, v: 11}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 427 is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o = 30 - 38. Let q(u) = -u**3 - 8*u**2 - u - 11. Let a be q(o). What is the units digit of 6 + a - (-28 + -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0608 to three dps.\nAnswer: 0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = -h**3 + 7*h**2 + 156*h - 12. Calculate y(-9).\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -25*v + 2 = -24*v. Suppose 0*n = n - 4, -18 = -5*q - v*n. Let s(b) = -22*b - 5. Let p be s(-1). Solve q = 5*y + p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3 - 4. Let s be 3\/42*(-5 - u). Which is the biggest value? (a) s (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {h: 2, v: 6, r: 1, t: 1, a: 10}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2151 is divided by 154?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = -23 + 147. Let q = m + -55. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = 3*i - 23. Let v be b(9). Suppose 4*g - v*y = 0, 2*g + y = -2*y + 15. Suppose -2*q + g*m - 4*m + 58 = 0, 5*m - 74 = -2*q. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -4 - 5. Let q = 12 + w. Let g be -1 - -4*(-1)\/(-3). Which is the second biggest value? (a) -1\/8 (b) g (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-18) + 2400\/3024\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -0.27 - 0.03. Let v = -0.4 - x. Let n = 4.9 + -1.9. What is the second biggest value in n, -0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 18*r**5 + 4*r**4 + 164*r**2 wrt r.\nAnswer: 1080*r**2 + 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 591*y - 1776. Let a be j(3). Sort 48, 22, a, 5 in descending order.\nAnswer: 48, 22, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 614 divide 13145229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i = 6.6 - 6.636. Round i to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 19\/4 of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 458, 3910, 13350, 31766, 62146, 107478?\n\"Answer: 498*h**3 + 6*h**2 - 52*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let s = 21 + -13. Let h = 58 - 60. Is s bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = -s. Let h(n) = 4*n**2 + 0*n**2 - 2*n + 7*n - 5*n**2. Calculate h(b(a)).\nAnswer: -a**2 - 5*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4118.\nAnswer: 2, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 74 - 72. Calculate the remainder when -2 - (2\/(-2) - 5) is divided by r.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 6795 and 473233.14.\nAnswer: 480028.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -64*a + 79. Let v(j) = -67*j + 80. Let x(g) = -5*s(g) + 6*v(g). What is the units digit of x(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*o + 0*o + 5*o)*(o**3 - 5*o**3 - 5*o**3) to f + c*o**4 + x*o**3 + n*o**2 + z*o and give c.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -4*c**3*o**3*z**2 - 5*c**3 + 7*c**2*o**3*z - c*o**2*z + c*o**2 + 3*o**3*z**2 + 102*o*z**2 - 1 wrt z?\nAnswer: -8*c**3*o**3 + 6*o**3 + 204*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*a = -4004 + 308. Calculate the highest common divisor of a and 3024.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 604009.\nAnswer: 7, 86287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 158\/1 + -3*10\/15.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*c**2 + 20370*c - 101975.\nAnswer: 5*(c - 5)*(c + 4079)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k - 4 - 12 = 0. Suppose -u + 5*i - 5 = 0, 1 - 4 = -k*u - 3*i. Which is the second biggest value? (a) -5\/2 (b) u (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -68, 29, -1, -2\/11, 2 in ascending order.\nAnswer: -68, -1, -2\/11, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = -15.2 + 13.19. Let u = o + 2.009936. Round u to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(-1\/8))**(40\/3)*(s*s\/(s**(-3\/7)\/s))**(-40) assuming s is positive.\nAnswer: s**(-2915\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 104723009 is divided by 603?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-34 + 50*y**2 + 34)*(-10 + 74 + 16).\nAnswer: 4000*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d = -83 + 145. Suppose -d = -t - t. Let n(q) = 3*q**2 + 4*q + 1. What is the remainder when t is divided by n(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:25 AM and 3:37 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000037349 rounded to seven decimal places?\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 20134?\nAnswer: 2, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q be (11 - 8)\/(6\/4). Suppose -q*y + 10 = 2. Suppose -6 = -0*f - y*f - 2*k, 4*k = 3*f - 10. Solve -3*j - 3 = -f*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from svaavsavavvaa. What is prob of sequence saav?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 15902897 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i + 2*i - 46 = -2*w, -w = -i - 25. Suppose 0*h - w = -2*z - h, 21 = 3*z - 2*h. Suppose -b = -5*f - z, 0 = f - 0*f - 3. Solve 9 - b = 5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert -447 (base 11) to base 16.\nAnswer: -217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l**2 - l + 12. Let u(b) = b**2 + b - 2. Let o be u(-2). Calculate v(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0101246289 rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor s**2\/4 + 59*s\/4 + 29\/2.\nAnswer: (s + 1)*(s + 58)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 328*u - 164*u + 5*a - 44 = 167*u, 0*a - a = -u - 14 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -7990660 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -12*v + 6. What is the tens digit of (0 - (-178)\/v) + (9 - 8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(325)*-2)**2*-3*-5 + -2.\nAnswer: 19498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a microgram in nanograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: -32 + (42 - (16 + 5)) + 1 - (-48 + 2)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 + -4. Let n(d) = d**3 - d**2 + 6. Let i be n(w). Solve -3*z = -i - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d**3\/11 + 378*d\/11 - 1080\/11 = 0.\nAnswer: -15, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, x: 2, w: 1, y: 1, g: 2}. Give prob of sequence ey.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.3 - 0. Let c = -33 + 28. Put y, -2, c in increasing order.\nAnswer: c, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2822*o**2 - 2376*o**2 + 8018*o**2 - 2821*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) = -4*d - 18. Let n be j(-5). Suppose n*g + 0*g = 20. Calculate the greatest common divisor of 90 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 14175 and 188100.\nAnswer: 11850300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of (937\/17 - -1) + 14\/(-119) and 21.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1553*p + 9 = -4*l - 1550*p, -4*l - 16 = -4*p for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*v + 5 - 5 + (-16 - 5 + 8)*(-15*v + 38*v + 20*v).\nAnswer: -561*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y be ((-6)\/1)\/((-2)\/(7 - 3)). What is the greatest common factor of 40 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = -8*b**2 - 3*b**2 + 5*b - 5*b. Let n(f) = 2. Let l(q) = q**2 + 2. Let j(u) = -l(u) + n(u). Calculate p(j(v)).\nAnswer: -11*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence hw when two letters picked without replacement from hwwwhwh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-25)\/(1750\/(-60)))\/(-2)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 30*r - 142*r - 1680 for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:13 PM and 11:59 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 12713*l*x + 2*l - 206426*x wrt l.\nAnswer: 12713*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2, 6\/5, 2\/7, -5\/6, 2.1, -8.3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 132 divided by -132?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 960\/(-32) + 45 - (-4 + 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -140 divided by 602488?\nAnswer: -35\/150622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*o - 69 = -4*a, 4*a = a - 138 + 192 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.827044 nanograms to tonnes.\nAnswer: 0.000000000000000827044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2040 and 1460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.03371842 rounded to three decimal places?\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = -2*r + 960, r = 5*w - 8*w + 720. Let c be 990\/w - 1\/8. Calculate the greatest common factor of c and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: Let f = 36\/497 + -51983\/10934. Suppose 3*b = -3*p + 6, -2*p = 3*p + b - 22. Calculate the common denominator of ((-14)\/4)\/(22\/(-6) + p) and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 197, 391, 585, 779?\nAnswer: 973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*((sqrt(1377) - (sqrt(1377) + -1) - sqrt(1377)) + sqrt(1377))**2 - (sqrt(1377)*-1 + -1 + sqrt(1377))) + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -1011000111 (base 2) to base 15\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1451128 and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8683780 to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Divide 179 by -56.\nAnswer: -179\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2076*n**3*p - 7293*n**3 + 30*n**2*p - 39*n**2 - 3*n + 343*p + 1 wrt n?\nAnswer: -12456*p - 43758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*j - 2*m - 42 = 4*j, j - 5*m = 1. Suppose -x + 5*x - j = 0. Solve x*o = o - 4*c - 27, -c = -o - 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(76)\/sqrt(4))*-4*-2.\nAnswer: 16 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Divide -3 by -1111287.\nAnswer: 1\/370429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*x + 21567 = 201327. Round x to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -15 (b) 1 (c) 3 (d) 4\/19 (e) -2 (f) 0 (g) -586\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 22702627 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = 7*k - 535. Suppose 0 = -3*t + 28 + k. What is the common denominator of -81\/8 and 115*3*2\/t?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 44 divided by -2937\nAnswer: -4\/267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 325, 320, 311, 298, 281?\n\"Answer: -2*n**2 + n + 326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -218 = 5*r - 4*r. Let q = 322 + r. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -s**3 - 5*s**2 + 4*s - 6. Give x(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = 4*c**2 + 10*c + 53. Let i(w) = -w**2 - 3*w - 17. Calculate 7*i(a) + 2*l(a).\nAnswer: a**2 - a - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((x*x\/(x\/x**(-6)))\/(x\/(x\/((x**(2\/7)\/x)\/x))))\/(x**(-2\/13)*x*x**(-11)))**2 assuming x is positive.\nAnswer: x**(1250\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 20010 - -217903. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = 2*j**2. Let s(h) = 2*h - 5*h - 8*h - 4*h. Give s(y(i)).\nAnswer: -30*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be 18\/(-81) - 554\/18. Let q = b + 110. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3 or -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**0\/(w*w*w\/(w\/(w\/w**(-6)))*w*w*w*w*w*w)*(w**3)**(-2\/13))**(12\/5) assuming w is positive.\nAnswer: w**(-2412\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4216991 rounded to the nearest 100000?\nAnswer: 4200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 4 - ((3 - 6 - -8) + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (160\/(-24))\/((-260)\/30).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-4)\/(-28))\/((-378)\/441)*20\/7?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ubbbbednrrnn. What is prob of picking 2 b and 1 d?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3808*o**2\/11 + 11978*o\/11 - 6480\/11 = 0.\nAnswer: -405\/112, 8\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*g - 72627 = -192270. Suppose -9*h + 4890 = -g. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((h**(-1\/5)\/((h\/(h*(h\/(h**(-9)*h)*h)\/h))\/h))\/((h\/(h**(-1\/3)\/h*h))\/h**(-3\/4)))**(-1\/5))**(3\/10) assuming h is positive.\nAnswer: h**(-463\/1000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 40469 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 843941767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7784 + 10574. What is the highest common factor of 180 and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1424607 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1276 and 4872?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 6434561 to the nearest integer?\nAnswer: 2537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -5*j + 2. Suppose 7 = -2*u - a, 3*u + 3 = a - 0. What is the remainder when (-64)\/(-3) - (-6)\/9 is divided by t(u)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -6\/491 (b) 18 (c) 4 (d) -1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 3 n when four letters picked without replacement from {n: 9, g: 2}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9 + 2. Solve 0 = -4*b - 3*w + 28, 2*w - 17 - z = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: (14 + -2 - 3) + 5\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 81 divide 1296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 7, b: 3}. Give prob of sequence bgb.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {a: 1, j: 3, k: 1, v: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -26*q**3. Let b = 75 - 69. Suppose -17*k - 221 = -4*k. Let n(t) be the second derivative of -9*t**5\/20 + t. Determine b*i(r) + k*n(r).\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 15, -13, 74999, 0 in decreasing order.\nAnswer: 74999, 15, 0, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = -2419*r. Let o(v) = 603*v. Determine 2*k(x) + 9*o(x).\nAnswer: 589*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = t - 3*a, 0 = -2*t - 0*t + 3*a + 21. Let k = 259 - 257. Let y be -18*(k + (-8)\/t). Solve 2*i = -y + 2 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-3)\/(-6) + (-4070)\/(-20)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -227618 divided by 2.\nAnswer: -113809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let -377365*p**3 - 1\/2*p**5 - 1419\/2*p**4 - 89099675*p**2 - 15703345125\/2*p + 15882300625\/2 = 0. What is p?\nAnswer: -355, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 4762.945l?\nAnswer: 4762945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -4513048 by 4513048.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*s**2 + 5*s - 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 1466610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-95)\/(-2) - 4\/(-8). Suppose 8*u + 504 = 176. Let f be u\/21 + n\/168. Sort -0.04, f, 2 in increasing order.\nAnswer: f, -0.04, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = -7*z**3 - 7*z**2 - 13*z + 35. Let s(l) = -6*l**3 - 8*l**2 - 10*l + 33. Let a(i) = 6*s(i) - 5*v(i). Calculate a(-13).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(75)*2)**2 + (sqrt(30)\/(sqrt(60)\/sqrt(24) + sqrt(10)))**2.\nAnswer: 910\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = -4*h**3 - 5*h**2 + 4*h + 2. Let w(j) = 4*j**3 + 6*j**2 - 4*j - 4. Calculate 3*t(r) + 2*w(r).\nAnswer: -4*r**3 - 3*r**2 + 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3 + 4 + 14)*(-2*u**3 + u**3 - u - 2 + 3*u) to o*u + j*u**3 + c + g*u**2 and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 225 + 211 = 109*m. Determine b, given that 4 + 1\/2*b**3 + 1\/2*b**m - 3*b**2 - 2*b = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the third derivative of 0*g + 5\/8*g**4 + 0*g**3 - 3*g**2 + 0. Let q(y) be the first derivative of -y**2 - 9. Determine q(p(f)).\nAnswer: -30*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 107 = 11. Suppose n + 3*n = z. What is the least common multiple of n and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*p + 3*p**4 + 0*p)*(-2*p + p - p) - 39 - 11530*p**3 - 61*p**5 + 11530*p**3 - 459*p**5.\nAnswer: -526*p**5 - 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 208718*c**5*j + 7*c**4*j**3 + 4877310*c**2*j**3 - c wrt c.\nAnswer: 12523080*c**2*j + 168*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -2253 - 9 = -148*y - 3232 - 7318 for y.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -393 = -3*f - p, 3*f = -2*p - 2*p + 384. Calculate the smallest common multiple of 9 and (f\/10)\/(28\/70).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a - 133 = -2*p, 3*a + 48 + 81 = 2*p. Let k = 95 - p. Calculate the remainder when 112 is divided by k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 359 minutes after 6:43 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4228 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:27 AM and 8:35 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in 4758, 9521, 14286, 19053, 23822?\nAnswer: 28593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o = -60 + 51. Let y = -6 - o. Suppose y*b - 12 = 3. Solve -4*c = b*j, 0*c + 2*j - 28 = 4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*k**3 + 45*k**2 - 45*k**2 + 6*k**2 - 6*k**2 + 6*k**3 + (3 - 1 - 4)*(-k**3 - 2*k**3 + 2*k**3).\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -t**3 - 8*t**2 + 11*t + 20. Let i be o(-9). Let q(y) = -61 - i*y + 3*y + 0*y + 55. Let m be 2\/4 - (-22)\/4. Determine q(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -22*d**4 - 8*d**4 + 5*d**4 + 2 - 2 + 4*d**4 + (-d**3 + 0*d**3 - d**3)*(2*d - 2*d - d).\nAnswer: -19*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 130847228?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 56*n - 325475 - 466250 = -55213. Does 129 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -3*a**3 + 8*a**2 + 5*a - 2. Let w(o) = 7*o**3 + 2*o - o - 8*o**3. Let v(f) = 4*w(f) - z(f). Let j be v(-8). Solve 0*g = -2*g - j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -43*m - 28*m - 1316 + 1488 = -2384 for m.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*o**5 - 122*o**2 - 4044*o wrt o?\nAnswer: 60*o**3 - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 8013 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -r - 4*v + 16, 4*r - 2*v = 101 - 19. Solve 102*j - 54*j**4 + 16*j**3 - 26*j + 40*j**3 + 50*j**4 - 4*j**5 - 104*j**2 - r = 0 for j.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -16479.2176 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = -433*a - 2. Let y(r) = -2211*r - 11. Let q(n) = -11*k(n) + 2*y(n). Let v(b) = -b. Give v(q(d)).\nAnswer: -341*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000271446292 rounded to 4 decimal places?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1319 + -1321.06. Round a to one decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*l**4 - 12*l + 7 + 3 - 7 - l**3 + 51*l**2 - 50*l**2 to the form g*l**3 + j*l**4 + k + n*l + v*l**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3894, -7781, -11668?\nAnswer: -15555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 960*h*l**4 + 22*h*l**3 + 4528*h*l**2 - 29*h - 16*l**4 - 2 wrt l?\nAnswer: 23040*h*l + 132*h - 384*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -4 times 47.45783\nAnswer: -189.83132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 10000302303 + 112?\nAnswer: 10000303021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 - -5. What is the first derivative of -3 + n + g - 2*g wrt g?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1? (a) 2\/17 (b) 0 (c) -1\/11 (d) -0.4 (e) 470 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose f = -3*u + 46, 0*f = 5*u + 2*f - 76. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 161, 259, 357, 455, 553, 651?\nAnswer: 749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*x + 6976 - 7006 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11 + 1 + 3 - -6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f**4)\/((f\/(f**(-3\/2)*f))\/f)*f*f*f\/(f\/(f\/(f\/(f**12*f))))*f*f*f**(-6) assuming f is positive.\nAnswer: f**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 8 = 4. Let l = -3 + y. Let i(x) = -x + 2. Let z(c) = 3*c - 6. Determine l*z(p) - 11*i(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -0.01525157 or 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m be 244\/(-20) - 2\/(-10). Let o be (-4 - m\/4)*4. Let u = 35 - o. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = 523*i**2 + 69552*i - 524. What is x(-133)?\nAnswer: 407","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 119*x - 39*x = -184*x + 6600 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round 4.7412038 to two decimal places.\nAnswer: 4.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is ((-80)\/(-540))\/(5\/(60\/8))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 307*z + 50*z = 18915 + 6 for z.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-62)\/12)\/((-2)\/6). Suppose 2*p + 29 = -2*k + 179, 105 = k - 5*p. Suppose -5*x + 0*x = -k. Is x less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 6 = o, -5*o + 70 = 4*t + t. Suppose -4*j + o = -0*j. Suppose j*n = 15 + 133. What is the remainder when n is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(3\/5))**(-1\/3)*(s*s\/s**(2\/35))\/s*s\/(s**4\/s*s) assuming s is positive.\nAnswer: s**(-79\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*i - 3*k = -289, -4*i + 5*k + 4238 = 4365 for i.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4019096, 8038344, 12057602, 16076876, 20096172, 24115496, 28134854, 32154252?\nAnswer: 36173696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 81 = -3*c + 84 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15502 - 3*n**3 + 15521 - 46546 + 15523.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 17*n + 137. Let c be h(-7). Suppose 3*i = 4*p - 90, 5*p = 4*p + 3*i + c. Calculate the least common multiple of p and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21901 divided by -772?\nAnswer: 21901\/772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the second derivative of -v**4\/12 - 2*v**3 - 5*v**2\/2 - 8*v. Let l be s(-9). Find the common denominator of 6\/(-22) + (-4)\/l and 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((16\/3)\/(21\/(-54)))\/((-74)\/259)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 106906402 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yypyyyyy. What is prob of picking 3 y and 1 p?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1110789683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = m**3 - 9*m**2 + 7*m + 1. Determine u(9).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the second derivative of z**4\/12 + 2*z**3 - z**2\/2 - 32*z. Let g be u(-12). Let v = -9 + 8. Is g smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 2896 - 2869. Solve -55*n = 303 + i for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(c) = 61*c + 5*c - 4*c. Let r(g) = -2*g**2. Calculate u(r(i)).\nAnswer: -124*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -101*p - 2786 + 69 = 146*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -6610?\nAnswer: -6610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(88)*-2 + sqrt(88)*2*-3 + sqrt(88))*3)\/(sqrt(648)*1*-3*-4).\nAnswer: -sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -3, 133 in decreasing order.\nAnswer: 133, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 1, j: 2, a: 1, m: 1, b: 1, k: 1}. Give prob of picking 1 k and 1 m.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = -0*o - 232. Let g = o + 49. Let j(t) = -35*t**2 + 8. Let f(r) = -9*r**2 + 2. Let l(w) = g*f(w) + 2*j(w). Differentiate l(v) wrt v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5\/(-3)*4\/10*(-11172)\/(-114 - -212).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*u**4 - 20208*u**3 - 25563088*u**2 - 102009984*u - 101929216.\nAnswer: -4*(u + 2)**2*(u + 2524)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8 + 13. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 148261 is divided by 72854?\nAnswer: 2553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.664591 milligrams to nanograms.\nAnswer: 9664591","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*h + h + h)*(-h - 2 + 2)*(0 - 1 - 2)*(0*h + h + 0*h + (21*h + 313 - 313)*(-4 + 3 - 4)) to s + j*h**2 + o*h**3 + x*h and give o.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = -206207\/19364 - -1173\/103. Let p = 1\/94 + r. Which is the nearest to -1? (a) p (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the closest to -157 in 6, 1\/3, 1\/2, 137?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 118762?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + o**2)*(5*o - o - 3*o) + (-o**2 - 4*o**2 + 2*o**2)*(-2 + 2 - 13*o)*(1 - 5 + 0 + (-2 + 0 + 0)*(-1 + 4 - 2)).\nAnswer: -233*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -5477 + 5477.3. Let n = 19.7 - 18. Let h = n - 1.5. What is the closest to h in i, -4, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3758, -3757, -3756, -3755, -3754?\nAnswer: -3753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) be the first derivative of -o**3\/3 - 8*o**2 - 20*o + 5. What is the tens digit of j(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -5 (b) 0.02 (c) 0.036 (d) -1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the second derivative of z**4\/12 + z**3\/3 - z**2\/2 + 7*z. What is j(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4189 (base 16) to base 12.\nAnswer: -9861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = -12 - 152. Calculate the greatest common factor of 451 and x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 68 in 1\/3, -1, -933, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 5 + -64530?\nAnswer: -64522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l be (33\/18*9)\/((-2)\/(-20)). Let f = -153 + l. What is the remainder when 50 is divided by f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 77, 159, 241?\nAnswer: 323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 93 - 92. Let j(o) = 3*o**2 - 1. Give j(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 98 is divided by 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -4*s + 131. Suppose -5*r + 5*g - 25 - s = 0, 5*g = -4*r - 21. Let h be (-4)\/69*r\/(-6). Do h and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -7.5 - -7. Let l(k) = -k - 3. Let t be l(-3). Which is the nearest to t? (a) -4 (b) 0.3 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 3 = f. Suppose 8 = 4*j - 3*w, -f = -3*j + 4*w - 3*w. Find the first derivative of -d**3 - j*d**3 + 3 + 7*d**3 wrt d.\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 13 and 949?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2*d - 2*d + 2*d)*(-730 - 500 - 1032) - 3*d + d + 3*d.\nAnswer: 4525*d + 2262","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13 - 19*u**2 - 13.\nAnswer: -19*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 118.3 + -120.3. What is the nearest to d in 0.02, 0.2, -8?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-2)\/6 + (-597)\/(-9). Suppose 0 = -n - 2, g - 3*n - w = 2*g. What is g rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many meters are there in 13\/8 of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**3 - t**2 + t - 5. Let b(l) be the first derivative of l**4\/4 + l**3 + 3. Let m be b(-3). Suppose -2*o + o = m. Give w(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1102110 - 10?\nAnswer: -1102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 3, -0.2, 1\/4, 0.71, 901?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = 3*r + 3. Let g be f(-3). Let z = -26 - -37. Let l(k) = 2*k**2 - 5. Let j(x) = 4*x**2 - 9. Calculate g*j(m) + z*l(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 79 divide 136864419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 0.026038 rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -483*m**3 + 6921*m**3 - 582*m**3.\nAnswer: 5856*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((-45)\/(-9))\/(3\/6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 3*f**2 + 6999*f - 56043. Calculate u(8).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 670, 5332, 17976, 42592, 83170?\nAnswer: 143700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -10*(-19)\/304*2*28.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 235 + -232. Solve -3*s - 15 = -5*x, -4*s - m = -0*s - x for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 3*q - 15 + 40 = 0, -q - 19 = -4*t. Solve 14 = -x - t*y + 1, 0 = x - 5*y - 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1323011230 (base 4) in base 8?\nAnswer: -1730554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g = -11 + 26 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = z + 4. Let q be b(-4). Let j(k) = 3*k + 14. Let i be j(-4). Suppose -5*c + i*t - 10 = -0, 3*c + 4*t - 20 = 0. Solve q*h - 5*h - 25 = c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5343168 is divided by 2207?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 481141 + 2*n + 481147 - 962288.\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c = 7 - 3. Suppose -24 = -4*b + 6*u - 2*u, -b + c*u = -12. Let l(r) = -3*r + 1. Determine l(b).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = 9*b**3 + 2*b + 3. Suppose -3*q - 6 = -5*w, -3*q - 6*w + 5*w = -12. Is 18 a factor of o(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-1)\/(-3))\/(14\/(-168)). Let u be 1*g + (-64)\/(-8). Suppose 158 = 5*p + 2*m, u*p = -0*p - 4*m + 124. What is the least common multiple of 24 and p?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3066361?\nAnswer: 743, 4127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f = -3.09 - -3. Let p = -11112 - -11112.089988. Let u = f + p. What is u rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 24 and 1704?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*v**2 - 2*v**4 - 5*v**2 + (v**4 - v**4 - v**4)*(362 - 711 + 368).\nAnswer: -21*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 32155301 to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -2*c**2 - c + 1. Let z be i(1). Let a = -6 - -2. Let b be a\/10 + 12\/5. Put z, b, 0 in ascending order.\nAnswer: z, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 268 smaller than 6.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 720527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {a: 2, i: 4}. Give prob of sequence ai.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -o**2. Let j(c) = 6*c**3 - 10*c**2 + 2. Give 10*i(r) - j(r).\nAnswer: -6*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 3*y + 7*y - 8*y + 4*y - 2*y + 0*y + y + 0*y - 3*y + 3*y - 6*y + 2*y - 2 + y + 2 + (3*y - 5*y + y)*(-2 + 2 + 2) - 1 + 1 + y as o + s*y and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/869 and 45\/182479?\nAnswer: 14415841","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -0.78*-12393\nAnswer: 9666.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -12 (b) 0.4 (c) -0.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 32\/7967 and 79\/6.\nAnswer: 47802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 2209605641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:32 PM and 3:25 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1315300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -418108\/5 < -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 0.01393645304 to six decimal places.\nAnswer: 0.013936","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*((3*sqrt(550)*-1 - sqrt(550))\/(-4*(sqrt(128) - (-1*sqrt(128) - sqrt(128))))*1)**2.\nAnswer: 275\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let z = -686 - -1171. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(p) = 8*p - 1. Let w be m(5). Let v = 3625\/5418 - 13\/5418. Which is the smallest value? (a) w (b) 0.4 (c) v (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/(q\/((q\/((q\/(q\/(q\/(q\/q**(-4))*q)*q))\/q*q))\/q)))\/q)\/q**(6\/13) assuming q is positive.\nAnswer: q**(33\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1752?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + w = -3*v - 1, 0 = w + 3*v + 13. Let n be (27*(-12)\/(-63))\/(w\/(-42)). Which is smaller: 55 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-2)\/8)\/(5\/(-40)). Suppose -7*i + b*i = -50. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (17 + 37 + 1)*(r**2 - 2*r**2 + 3*r**2) + (-47 + 47 + 11*r)*(-2*r - 3*r + 9*r).\nAnswer: 154*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 52634*m**2 + 2 - 52608*m**2 - 2.\nAnswer: 26*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -7*h**2 + 0*h - 13*h**3 + h - 3*h**3 + 9*h**2 - 1 to the form k*h + c*h**3 + u + d*h**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12706 and 7.\nAnswer: 88942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -4 or -253\/18?\nAnswer: -253\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1.317 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -6580486 * 3\nAnswer: -19741458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b be (29 - (3 + -7))*(-2)\/3. Let f = 49 + b. Calculate the least common multiple of f and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -17 - -47\/3. Let o = -27\/13 - -487\/247. Which is the nearest to 1? (a) p (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine a so that -16*a**4 + 18532*a**3 + 88408*a**2 - 23260*a = 0.\nAnswer: -5, 0, 1\/4, 1163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 3*g - 2. Let b(p) = 13*p - 9. Let x(v) = -2*b(v) + 9*r(v). Let k(d) = 68*d - 2769 - 2761 + 8300 - 2770. What is k(x(o))?\nAnswer: 68*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g + g = b, 0 = 3*b - g + 12. Let f(i) = -i**2 + 37*i - 215. Let t(n) = -11*n + 61. Let r(u) = 2*f(u) + 7*t(u). What is r(b)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-7)\/(-14))\/(1\/338).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0 + -10 - (0 + -1). Suppose -3*z + 9 = -3*q, -3*z + 3*q = 2*q - 9. Let w(p) = -2*p**2 + 5*p - 2. Let r be w(z). Put -3, g, r in ascending order.\nAnswer: g, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -50*(4\/5)\/(-2). Suppose 3*f - 8 = f. Suppose f*q - l = -q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 711.53 and 0.1?\nAnswer: 711.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express 7*x**3 + 5*x**2 + 10*x**3 - 15*x**3 - 19*x**2 + 33*x + 16*x**2 + 3 as v*x**3 + m*x**2 + g + s*x and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mgm when three letters picked without replacement from {j: 6, g: 10, m: 2}?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 64, 1, 468, 34, 2, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 671 is divided by 52.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express -u**3 + 196*u**2 - 4*u + 2*u - 194*u**2 + 2 in the form b*u**3 + p*u**2 + x + q*u and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = 119 - 112. Let j be (-4)\/3 + 2\/(-3). What is the remainder when 30 is divided by 2*x + -1 + 4\/j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -114, -1607, -3100, -4593, -6086?\nAnswer: -7579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 7, 0, 4 in descending order.\nAnswer: 7, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 + 12466?\nAnswer: 12463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 30320203?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 49793 to the power of 1\/3, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -f - 21957 = -2745*t, 4*f - 5*t + 112 = 84 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m + 2*p = -90, -29 = -m - 2*p + 1. Calculate the greatest common factor of 165 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3883113 to the power of 1\/2, to the nearest integer?\nAnswer: 1971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 14918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2913640 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*(sqrt(153)*1 + sqrt(153)))\/((sqrt(54)\/sqrt(2))\/sqrt(3)).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -474, 18, -1 in descending order.\nAnswer: 18, -1, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:08 AM and 9:42 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjiiuyuhuhejhhj. Give prob of picking 2 u.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -22.1 + 21. Let s = -3 - -2. Let i = s - o. Put 2\/7, -2, i in increasing order.\nAnswer: -2, i, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(1800) + sqrt(1800) + ((sqrt(550) - sqrt(550)*1) + sqrt(550))\/sqrt(11))\/((sqrt(1000) - sqrt(1000)*-3)*6) + 5.\nAnswer: 13*sqrt(5)\/240 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -3*v + 22. Let y(z) be the second derivative of -z**5\/20 + 3*z**4\/4 + 13*z**3\/6 - 13*z**2\/2 - 812*z. Give y(v).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 47559 to the power of 1\/2, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 75366316?\nAnswer: 2, 79, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 - 3*w**3)*(17 - 17 - 5*w**2) + (5*w - 117*w + 52*w)*(-2*w**4 + 5*w**2 - 5*w**2).\nAnswer: 135*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 276079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-16)\/(24\/6))\/(-1). Solve x = 2*u - u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.63 - -0.5622\nAnswer: -1.0678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 6 = -v, 0*i = -i + 3. Let p(y) be the second derivative of 2*y + 1\/18*y**4 + 0 + 0*y**2 + v*y**3 - 1\/60*y**5. Let p(b) = 0. Calculate b.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -53 and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -9 (b) -2 (c) -3\/2 (d) 0.68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10*v + 2*v + v.\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*n + 4*n - n**2)*(69 - 121 - 67).\nAnswer: 119*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from vexfenfvnvvceexnf. What is prob of sequence cfe?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 34*p + 7. Let h be k(-5). Calculate the remainder when (-2)\/(-8) - h\/4 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 22 (base 8) to base 5\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 9 and 24561?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.6427744t to nanograms.\nAnswer: 642774400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t + 15 = 2*c + 55, 0 = -3*t - 15. Let r be -2*2\/(-4) - c. Let f = 19 + r. What is the remainder when 87 is divided by f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111001111010000110 - -11?\nAnswer: 111001111010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let h be 492 + -2 + -5 + -1. Suppose 3*c - 1444 = -32*m + 34*m, -h = -c - 2*m. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1183? (a) -1\/2 (b) 1\/9 (c) 2 (d) 416 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2079077 and 1759219.\nAnswer: 22869847","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -13 - 154 = 15*k + 28 for k.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 + 5 - -1) + -1 + 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1417*k**3 + 5753*k**2 - 380560*k wrt k.\nAnswer: -8502*k + 11506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -3 - -41003?\nAnswer: 41000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -666.1*-2107\nAnswer: 1403472.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -2 + (-3)\/(-2) + (-959)\/210 and -107\/102?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25859?\nAnswer: 19, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t be 0\/(-6) - (-4 + -13). Solve -a + 59*j - 54*j = -t, -5 = 2*a + 3*j for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 60 minutes after 1:04 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -48 in 2\/7, 4\/7, 54\/5, 5\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose r**4\/3 - 203*r**3\/3 + 1891*r**2 - 10741*r\/3 + 5270\/3 = 0. Calculate r.\nAnswer: 1, 31, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -44421423 (base 5) to base 11\nAnswer: -246286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z be (4\/8)\/((-3)\/(-180)). Suppose 5*a + 2*k - 41 = 0, -3*a + 3 + z = 4*k. Solve 3*d + 15 = 3*s - 4*s, -d = s + a for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (15*s + 13*s - 5*s)*(-11 - 6 - 2*s**2 + 2).\nAnswer: -46*s**3 - 345*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 2\/7, 20, -2, -2\/3, -0.1, 8319?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 664 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Determine b so that -3*b**5\/8 + 21*b**4\/8 - 27*b**3\/4 + 33*b**2\/4 - 39*b\/8 + 9\/8 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -378*l + 389*l = 583. Solve -3*y - 35 = 5*n, -3*n + l = -5*y + 40 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0 + 2 - (1 - -4). Let j(q) be the first derivative of -q**4\/4 - 4*q**3\/3 - q**2 + 4*q - 3. What is j(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the first derivative of -7*s**4\/18 - 4*s**3\/3 + 4*s**2\/3 - s - 4. Let i(l) be the first derivative of b(l). Factor i(y).\nAnswer: -2*(y + 2)*(7*y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -237762, -475502, -713218, -950910, -1188578?\n\"Answer: 12*s**2 - 237776*s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 10, 24, 24, -8, -90, -240, -476?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:33 PM and 1:28 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -3*n - 3*n + 10*n**2 + 9 + n**3 - 4*n**3 + 2*n**3. Calculate the remainder when 106 is divided by i(9).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 3, f: 10, v: 2, h: 2, m: 1, a: 2}. Give prob of sequence hm.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) be the first derivative of -w**7\/42 - w**3\/3 - w + 3. Let j(i) be the first derivative of r(i). Find the second derivative of j(l) wrt l.\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 1\/45 of a hour?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 23099967?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3.48 - -0.18. Let w = x + 29.3. Let g = 17 - w. What is the nearest to -1 in -5, g, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -617.5 - -617.5. Let p = -0.3 + -0.7. Which is the nearest to -0.1? (a) 2\/23 (b) s (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) be the second derivative of -l**5\/4 - 15*l**4\/4 - 20*l**3 - 40*l**2 - 2*l. Factor b(s).\nAnswer: -5*(s + 1)*(s + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -135*132\/(-891) - 79\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**3 + 3*s**2 + 2*s + 1. Let r be v(2). Let a(c) = 5*c**3 - 9*c**2 + 7. Let m(g) = -2*g**3 + 4*g**2 - 3. Give r*m(f) + 4*a(f).\nAnswer: 2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u = -492 + 252. Let j = 239.9 + u. Sort -1\/3, -1\/4, j in ascending order.\nAnswer: -1\/3, -1\/4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*h**2 + 2 - 2)*(-181592*h + 93811*h + 97153*h) to s*h**3 + f*h**2 + q*h + b and give s.\nAnswer: -18744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -21*o**4 + 34551*o**3 - 490632*o**2 + 2174220*o - 2818368 = 0.\nAnswer: 16\/7, 6, 1631","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*s + 80 + 58. Let o = 49 + s. Solve 0 = 7*i - o*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) be the first derivative of 0*z**2 + z**3 + 0*z**5 + 0*z + 1\/1800*z**6 - 1\/120*z**4 - 4. Let s(n) be the third derivative of u(n). Factor s(t).\nAnswer: (t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 605 minutes before 4:20 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = -9*m + 51. Give v(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 184069 is divided by 1014.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = 3*q - q + 16, -72 = -5*i - 3*q. Let p(o) = -o - i + 16 + 17. Let n be p(15). What is the greatest common factor of n and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002158 to 3 decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -152*x + 27 + 519 - 2 = -135*x for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 36*j**2 - 15*j**2 - 14*j**2 - 21*j**2.\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(2\/3)\/(p*p\/((p*p\/p**(2\/3))\/p)*p)*p**(1\/19)*p*p**(-3) assuming p is positive.\nAnswer: p**(-75\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6470854 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 30 + -31. Let l be ((-5)\/((-80)\/4))\/((-1)\/6). What is the closest to 0 in -2\/5, l, k?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 32 - (83 - (52 + -22)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 10728191?\nAnswer: 10728191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = -6641*q + 6. Let v(s) = 161270050*s - 145706. What is 3*v(h) + 72853*z(h)?\nAnswer: -6623*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 67, 135, 213, 307, 423, 567, 745, 963?\nAnswer: 1227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -4730 divided by -5?\nAnswer: 946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 139 a factor of 1257391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 26468482 less than -3?\nAnswer: -26468485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is r in -r**3\/4 - 15*r**2\/4 - 63*r\/4 - 49\/4 = 0?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve c + 1 = s - 2*s, 2*s = -c + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 268, 394, 602, 886, 1240, 1658?\n\"Answer: -x**3 + 47*x**2 - 8*x + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 15680233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is -959 greater than -28332\/125?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = 42*i + 887. Determine o(-21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 0.5 (b) 4 (c) 0.3 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 36406294 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -2*d. Let h(w) = 225*w**2 + 2*w. What is h(t(j))?\nAnswer: 900*j**2 - 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) = -a**3 - 18*a**2 + a - 43. Suppose 2*o - 22 = 2*b, -438*b + 434*b - 37 = -5*o. Calculate r(b).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and -169.54.\nAnswer: 508.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -942 (b) 0 (c) 0.1 (d) 2\/11 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -g + 5*f + 17 + 176, -5*g - 5*f = -905. Let n = g + 32. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*h + 57 + 1087 = 0. Calculate the highest common divisor of h and 468.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3 - -5. Let n = -7 - -7. Suppose -3*q + j*q = 5*z + 1, z - 4*q - 4 = n. Solve 2*m - 5*h = -3 + 8, -2*h - 6 = z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(1666) + sqrt(1666)*2 + sqrt(34))\/(sqrt(2)*1*1) - 5*((sqrt(17) - (sqrt(153) + 0 + sqrt(153)))*-1)**2*-3.\nAnswer: 22*sqrt(17) + 6375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/((-4)\/(-2))*(9 - 4). Suppose -4*m = c - 41. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1759798, -3519592, -5279386, -7039180, -8798974, -10558768?\nAnswer: -12318562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 49 + 16. Suppose 8*g - 306 = -60*g + 646. What is the remainder when z is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -u + 6*a = 5*a - 5, 4*a = 2*u - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z be 112\/42 - (-2)\/6. Suppose t - z*t = -32. Solve -t = -2*r - 2*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6 - -71) + -58 + 34 + 2.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 24763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/7 in 4, 0.4, 6, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27 = -3*c - 3*z, 5*z = 3 - 8. Let l(j) = 10*j**2 - 22*j**2 + c*j**2. Let o(a) = -13*a**2. Give o(l(m)).\nAnswer: -52*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (21 - 9*i + 11*i + 0*i)*(2*i**2 + 3 - 3).\nAnswer: 4*i**3 + 42*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-3\/11)*a\/a**(-8))\/(a*a*a**(1\/5))**(-31) assuming a is positive.\nAnswer: a**(4231\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -22 - 2704*s - 81*s + 6661*s.\nAnswer: 3876*s - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -3316, 20 in descending order.\nAnswer: 20, 3, -3316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 3510312 (base 6) to base 13\nAnswer: 64082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from bnbnxo. What is prob of sequence bxnn?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*n + 1 = -31. Is n + 1\/(5\/1515) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-4)\/(-10))\/(1\/(-6 + 31)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -8*l**2 - 7*l - 12. Let h = 28 - 27. Let d(p) = p**2 + 1. Let a(n) = h*j(n) + 6*d(n). Determine a(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14 = -14*n + 13*n. Suppose -10 = 9*o - n*o. Is 19 a factor of (188\/6)\/(o\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -41.39 - -1.39. Let h = -124289.57459908 - -124329.5746. Let i = s + h. Round i to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*k**2 + 38 - 2*k - 38)*(-3*k**2 + k**2 + 0*k**2 + (k + 0 + 0)*(-4*k + 4*k - k)).\nAnswer: -9*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 214740668.\nAnswer: 2, 17, 1427, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = 0 - 0.2. Let p = -909.7 + 901. Let d = -8.5 - p. Sort c, -0.4, d, 2 in decreasing order.\nAnswer: 2, d, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = 7*i. Suppose -6*o = 13 + 17. Let s be 160\/9 - (10\/9)\/o. Suppose -13 = 5*m - s. What is j(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 47 (base 11) to base 4.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 508 - 513 = -5*s - r, -3 = -3*s - 4*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 29 - 2. Suppose p + 0*p - 10 = 0. Calculate the remainder when r is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -682 + 677. Sort q, -4, 0.5, -51 in decreasing order.\nAnswer: 0.5, -4, q, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -35*u + 1. Let o be j(-1). Suppose -34*y + 2295 = 459. What is the highest common divisor of y and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000853441 rounded to 6 dps?\nAnswer: 0.000853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t = 195 - 189. Let c be (-1)\/(-6)*t\/2*10. What is the second biggest value in 0, -1\/9, c, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9222113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-2)*w*w\/(w*w**10))\/(w*w**4\/w*w*w\/w**0) assuming w is positive.\nAnswer: w**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -943.8783 + -7.3917. Let m = 938 + x. Let f = -13 - m. What is f rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 21 - 16. Let t = 0.9 - 1. What is the closest to t in 0.1, h, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 465*n - 466*n + 2*x + 13 = 0, 3*x = -5*n + 52. Let d(j) = 6*j**2. Let p(m) = -19*m**2. Let u be 9\/2 - (-2)\/(-4). Determine n*d(c) + u*p(c).\nAnswer: -10*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 109 or -16?\nAnswer: 109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (-8 - -9 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -13 in -1\/7, 0.708907, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1 + -7a3c13?\nAnswer: -7a3c12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c\/(c*c\/(c\/(c*c\/(c*c*c**(-8)*c*c)*c)))*c\/c**1)**18 assuming c is positive.\nAnswer: c**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -51*j*l*n**3*v + j*l*n**2*v + 1860*j*l*n**2 - 9038*l*n**3*v**2 + 6*l*n + 2*v**2 wrt n.\nAnswer: -306*j*l*v - 54228*l*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1080, -4484, -10156, -18096, -28304, -40780?\nAnswer: -55524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 - (-2 - 0 - (13 - 12)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 27459.61 minutes?\nAnswer: 1647576600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -43*z + 91*z + 96 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p + 4. Suppose -5*x = 3*r - 29, -r - 3*x = -13 + 2. Suppose -3*b = b + r. Let m(u) = 0 - 1 + 0. Give b*z(v) - 6*m(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 3*r**2 - 115*r. Is 75 a factor of m(45)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x = -2*f - 2*x + 208, 0 = -4*x + 16. Let k = f - -42. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 + 2 - (-11 - (-9 - -5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 22023, 88597, 199557, 354903, 554635, 798753?\nAnswer: 1087257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -1306467\/634868 - -2\/12209. Find the common denominator of 27\/26 and g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*l - 17*l = 85400000. Round l to the nearest 1000000.\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*o + 18*o - 6336 = 0. Is o a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 16*h + 51. Give m(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 11 - 111000000100100100001111100?\nAnswer: -111000000100100100001111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 73*p + 3*a = 68*p + 27, p = -a + 7 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 0, -124, -338, -648, -1060, -1580, -2214?\n\"Answer: -l**3 - 39*l**2 + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence in when two letters picked without replacement from {t: 2, n: 2, i: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2 + 1 + 0 - m + m**4 + 3 - m**2 to g*m**4 + f*m**3 + k + l*m**2 + j*m and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -9, -208, 4, 0.2 in decreasing order.\nAnswer: 5, 4, 0.2, -9, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -2*b**2 - 35*b + 155. Let z be n(-21). What is the highest common divisor of 5 and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = 113359\/11 + -10305. Which is smaller: l or 803?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-22 - -30) + 0 + (-18 - (-4 + 8)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the first derivative of -r**2\/2 + 6*r - 1. Suppose -2*x = -s - 9, 0*x - 28 = 2*s + x. Let w = -9 - s. Give k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.695142 weeks to microseconds.\nAnswer: 4654021881600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-61)\/(-183)*9\/(((-7)\/(-10))\/(-7)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 88473 > -2092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**2 + c - 5. Calculate l(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 61725022211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3186 is divided by 355.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a be -9*(4\/(-3) + -1 - -1). Suppose a*d = -22*d + 46954. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14 times 57854?\nAnswer: 809956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-4)\/6)\/((-96)\/(-108)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose y - 3*y - 5*w + 15 = 0, 5*w = 2*y + 15. Let i be 6\/6 + 1 + y. Solve 8 = -i*x - 0*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**2 - 12*y + 320. Determine d(-24).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -1*(-6)\/(-4)*52\/39\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-224)\/48*12\/8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 16871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.160497 minutes in hours?\nAnswer: 0.00267495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = 3*c**2 - 21*c - 19. What is k(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (88 - 44 + 2)*(2*b + 5*b - 2*b)*(-3*b**2 + 21*b - 21*b) in the form h + f*b**3 + d*b + w*b**2 and give f.\nAnswer: -690","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -j**6 - 101*j**5 - 1203*j**3 + 9603437*j**2 wrt j.\nAnswer: -120*j**3 - 6060*j**2 - 7218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -m**2 + 7*m - 4. Suppose 4*w - 2*w - 12 = 0. Let d be t(w). Let i(z) = -z**2 + 2*z + 1. Let l be i(d). Solve j - l = 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*1*sqrt(320)*-6 - (-4*(-1 + sqrt(320)) + (sqrt(320) + 0)*-5))**2.\nAnswer: -2880*sqrt(5) + 648016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -151440 (base 6) to base 4\nAnswer: -3210300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve n - 5 = 0, -4*n + 7*n - 35 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 + 3*c - 5)*(-14 + 14 + 9*c)*(-17*c**2 + 16*c**3 + 17*c**2).\nAnswer: 432*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 - 6.9. Let h = -188642 + 188646. What is the second smallest value in -2\/3, h, t, -1\/5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -23 - -35. Calculate the least common multiple of p and -54*(-5)\/50 - 36\/(-60).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1308 + -1961. Let f = l + 1306. List the prime factors of f.\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:35 AM and 7:13 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -901.9 rounded to the nearest 100?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, -2\/13, -85, 1?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*h - 5 + 25. Let c = -2 - h. Solve 0*v = c*v - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -149 or -145?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -s - 0. Find the third derivative of 3*q**s + 16*q**6 - q**2 - 13*q**6 wrt q.\nAnswer: 360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 50 + -35. Let v(c) = 8*c - 4. Let p be v(1). Let u be p + -7 - -1*m. What is the highest common factor of u and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -x**3 - 17*x**2 + 18*x + 8. Let i be w(-18). Solve 4*s = i*s - 16 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) be the third derivative of g**5\/20 + 5*g**4\/24 + 4*g**2. Let b(c) be the first derivative of -2*c**3\/3 - 3*c**2\/2 + 144. Determine -10*b(d) - 6*k(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 700.8842 nanograms in grams?\nAnswer: 0.0000007008842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = -8 + 33. Let g = -23 + a. Find q such that -2*q**3 - 4*q**2 - 2*q + 0*q**g + 0*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine j so that 1\/5*j**3 - 9\/5*j**2 - 48\/5*j + 448\/5 = 0.\nAnswer: -7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine t, given that 2*t**2 + 172628*t - 95900064 = 0.\nAnswer: -86866, 552","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-109802)\/88 + -4)*(-8)\/(-6). Are -1670 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i + 34 - 19 = 0. Let o(b) = b - 6. Let z(w) be the third derivative of -w**3 - 3*w**2. Let s(l) = 2*o(l) - 3*z(l). Determine s(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 21.24, -0.4, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine d so that -3*d**2 - 705009*d = 0.\nAnswer: -235003, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 18103710 rounded to the nearest 100000?\nAnswer: 18100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = 1 - 17. Suppose 0 = -2*y - v + 1, -4 = -2*y + v + 3. What is the highest common factor of y and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*j - 24 = 3*u, 0 = 98*u - 94*u + 3*j + 18 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 13 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 6065201 (base 8) to base 9.\nAnswer: 3007861","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -2*r**2 + 5*r. Let z(h) = h. Give n(g) - 5*z(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand -j**4 + 3*j**4 - 3*j**4 + 786*j**4 - 1697*j**4 + 3 - 3 + 2*j**4 + 0*j**4 - j**4 + (-4 + 3 + 3)*(j**2 - j**2 + j**4) - 5*j**2 + 5*j**2 - j**4.\nAnswer: -910*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3534*f**2 - 3507*f**2 - 3528*f**2 + 14114*f**2 - 3539*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -11*d*r**4 + 886851*d + 4*r**3 + 779990*r + 98 wrt r?\nAnswer: -44*d*r**3 + 12*r**2 + 779990","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -225 - -252. Calculate the highest common factor of x and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, 2\/11, 3, 3\/2, -5.\nAnswer: -5, 2\/11, 3\/2, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -3*b - 11. Let g = 2 + -9. Let m(t) = t + 5. Let h be (-1)\/3 + 168\/18. Let r be 4*h\/12*-1. Give g*m(s) + r*i(s).\nAnswer: 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ss when two letters picked without replacement from ssqsssqqsqsswqssqq?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31714 is divided by 244?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-44)\/(-11)*(-4)\/136)\/1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -99*r**3 + 388*r**2 - 6*r + 5. Calculate b(4).\nAnswer: -147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let r = 45 - 24. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-28)\/(-16) + 1\/4. Suppose -5*m + 2*j = -61, -m = -4*m + g*j + 35. What is the second smallest value in -4, m, -5, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -3938, -5704, -7484, -9278, -11086?\n\"Answer: -7*f**2 - 1745*f - 2186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -24 or 1469221?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 p and 1 b when three letters picked without replacement from {p: 5, m: 2, b: 8, w: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 52, 48, 40, 28, 12, -8, -32?\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -11 (b) 4\/3 (c) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 0 + 1 + 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -155*c**3*d + 18*c**3 + 12*c**2 + 322*c + 4076*d wrt d.\nAnswer: -155*c**3 + 4076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 49285307 to the nearest integer?\nAnswer: 7020","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -211, -419, -625, -829, -1031, -1231?\nAnswer: -1429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.329 - -1.129. Which is the closest to 0.1? (a) q (b) 0.3 (c) 1\/109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -7549 < -7531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*m + 4 + 4. Let b = m + 2. What is the units digit of b + (1 - (2 + -11))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 205 = -16*r + 621. Solve r*v = 66*v + 160 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -21 - -21. What is the nearest to l in 4, 3, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n - 5*f = 233768, 4*n + f = -0*f + 311729. Let y = -316237\/4 + n. Let l = -1122 - y. Calculate the common denominator of l and -93\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 13*l - 3*l**3 - 830*l**2 - 5*l**4 - 838*l**2 + 1666*l**2 to the form f*l**4 + b*l**3 + k*l**2 + w + q*l and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -93*w**2 - 7 + 7 - 116*w**2.\nAnswer: -209*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h*h**(-23\/2)*h*h*h*((h\/h**42)\/h)\/h*h*h**(6\/23)*h*h*h**(7\/5))**(5\/7) assuming h is positive.\nAnswer: h**(-10313\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 59896 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in -0.14, 2\/23, -216, 1\/5, -117, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -1194574361 divided by 16824991?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -39496 + 40797. Calculate the remainder when s is divided by 109.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 157 and 51423937.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 103 in -2\/13, 5, -18048?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -157*a**4 - 15*a**6 + 157*a**4 + a**2 wrt a?\nAnswer: -1800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 6 = 4*m, -2 = 3*n + 5*m + 2. Are 2 and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 2*l**3 - 16*l**2 - 29*l + 2. Let t be w(-2). Let h be 1 + 5 - (-105)\/t. Put 2, -6, h in ascending order.\nAnswer: -6, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1275 and 1070?\nAnswer: 272850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 3*k**3*u**2 + 19911*k**3 + 6002*k**2*u**5 - u wrt u?\nAnswer: 6*k**3 + 120040*k**2*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (62 + 43 + 52)*(-4 - 8*r + 4)*(-3 + 0 + 4 + (2 - 2 + 1)*(5 - 5 - 2) - 6 + 4 + 3 + 1 - 1 - 3)*(5 - 3 + 0).\nAnswer: 7536*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 r when four letters picked without replacement from trrrtttrrrrttrrtttrt?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vf when two letters picked without replacement from vfv.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 v when two letters picked without replacement from vttvvtv?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = -272 - -128. Let f = g - -143.7. Which is the second biggest value? (a) 2\/3 (b) f (c) -2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/159836 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = w**3 - 73*w**2 - 394*w + 340. Determine m(78).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, 0.1, 0 in descending order.\nAnswer: 0.1, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 36 - 36.177. What is y rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -3036*q - 27289. Calculate y(-9).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-2 + 2 + 2)*(2 - 2 - k) - 192*k - 10373 + 10373 + (-1 - 1 + 1)*(-k - 2*k - 2*k) + (0 + 2*k + 0)*(0 + 3 - 2) as f + o*k and give o.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = c**2 - 11*c + 11. Let z be l(10). Suppose -a - 3*a = -4*s + 20, -a = s - z. Suppose -265 = -s*b - 2*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = v**2 - v + 7. Let o be m(3). Let s be 804\/o + 18\/117. Let a = s - 432\/7. What is the second smallest value in a, 3\/4, 0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + 1 + (sqrt(2) - -1*((sqrt(2) + sqrt(18) + sqrt(2))**2 + sqrt(2))) - sqrt(14)\/((sqrt(168)\/sqrt(3))\/sqrt(8))*-6.\nAnswer: 8*sqrt(2) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 239*b**6 - 2*b**3 - 944*b**2?\nAnswer: 28680*b**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*((sqrt(300) - -2*sqrt(300)*-3) + 3 + sqrt(300)*-1)**2*-5.\nAnswer: -5400*sqrt(3) + 162135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0 take away 2244364?\nAnswer: -2244364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/12 + (-8)\/(-416)*13.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -7*z**3 + 1. Let r be j(1). Let o be (-23)\/2 + (-9)\/r. Let d be (-4)\/o*15\/4. Is d at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fyfy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(40)\/(sqrt(6)\/sqrt(3)) + sqrt(20))*4)\/(sqrt(8)\/sqrt(2)*-6 + sqrt(4) + (sqrt(4) - (sqrt(100)*-1 + sqrt(100)))))**2*-1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 436720, 438311, 440956, 444649, 449384?\nAnswer: 455155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 236 is divided by 150?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*y**2 - 4928 + 4896 + 3*y**2 + 6*y**2 + 62*y + 28*y**4 - 64*y**3 + 2*y**5.\nAnswer: 2*(y - 1)**3*(y + 1)*(y + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2064 - -2065. Solve 18*w - r = -5*p + 16*w, 4*p + 13 = 3*w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12054 = -107*b + 121*b. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x**(-8)\/x**(4\/3))\/((x*x\/(x*x**0*x*x))\/x)**(-22))**(-49) assuming x is positive.\nAnswer: x**(7840\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hhhhhhuhuhhunushu. What is prob of sequence uuhu?\nAnswer: 5\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Are -734 and 8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -573 + 573.08. Let p = 0.27 + a. Let i = 7.7 + -8. What is the closest to 2\/5 in -5, p, i?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1400637 rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 323468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the second derivative of -j**7\/42 + 73*j**6\/3 + 40*j**4 - 1151*j. What is the third derivative of k(v) wrt v?\nAnswer: -60*v**2 + 17520*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-736)\/(-1280) - (36\/(-20) + 2)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2327428 is divided by 465483.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 432 minutes before 5:58 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 - 5 = 3*n, -5*n + 232 = 2*b. Is 21 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 9.977509 decades to months.\nAnswer: 1197.30108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 0.2 (b) 1\/8 (c) 2683 (d) -3\/2 (e) 2 (f) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) -80567 (b) -4 (c) 2\/13 (d) -5 (e) -2\/5 (f) 6 (g) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (y**(1\/5))**4*y**6*y*y**10*y assuming y is positive.\nAnswer: y**(94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(60)\/(sqrt(5)*-2) - (sqrt(72)*-2)\/sqrt(6))\/(sqrt(324)\/(sqrt(9)*1))*2 + 1)**2.\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r**(-2)*r)\/(r\/(r\/(r**8*r))*r*r)*r\/r**(-7\/3)*r*((r\/((r\/r**(-1))\/r))\/r)\/r assuming r is positive.\nAnswer: r**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*k - 4*k - 102. Let h(z) = z**2 + 4*z - 1. Let x(t) = -1 - t**2 + 4*t**2 - 2 + 11*t. What is k*h(f) + 6*x(f)?\nAnswer: f**2 - 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 4 and 4\/(4\/3)*6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 70202, 70212, 70224, 70244, 70278?\nAnswer: 70332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*k + 80*i - 79*i = 2605, -5*k + 3255 = i. Sort -1, k, 0.\nAnswer: -1, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -10054 (base 6) to base 5\nAnswer: -20310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -i**4\/5 - 28884*i**3\/5 - 208657998*i**2\/5 - 1251168228*i\/5 - 1876362489\/5.\nAnswer: -(i + 3)**2*(i + 14439)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*h + 4663 = 17599. Suppose -h = -28*l + 26*l. What are the prime factors of l?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from gggv. What is prob of sequence gg?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -9439.95 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1020 and 490596?\nAnswer: 41700660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1 - 2. Let s = 0.053 + 0.047. What is the nearest to 0 in o, s, 3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-7098)\/(-416) + -17)\/((-2)\/28)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1683 divided by 3?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = t - 20. Let f be ((-10408)\/(-12))\/(t\/(-3)). Suppose -5*p = 2*n - f + 239, -4*n - 5*p = -2104. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = 52*a**2. Let k be (-17)\/(((-2)\/(-1))\/(9 - 11)). Let p(c) = -16 + c - k + 33. Calculate p(v(b)).\nAnswer: 52*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f**2 - 2*f - 1. Let y be c(-2). Let i be (-3)\/(y - 3\/6). Solve 1 + 1 = i*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*o - 3*o + 5. What is the third derivative of 3*h**o - 3*h**5 + 3*h**2 + 5*h**5 + 4*h**2 wrt h?\nAnswer: 300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -239*a**2 - 313*a**2 + 13*a - 13*a in the form s*a + p*a**2 + b and give p.\nAnswer: -552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = k**3 + 4*k**2 + 2. Let r be m(-3). Let o be (-22)\/r + 3\/((-6)\/(-8)). Is o at least as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-five sixths of a day in hours?\nAnswer: 220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 10 + 5 + -17 - (-3 + (8 - -2))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -208 + 415\/2. Is -2.1 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -117 and 4.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 3*r = -12, -y + 6*y - 2*r = 11. Which is bigger: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 425\/1125*-9*-10?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*u + 76 = 52 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 350*w**3 + 100*w**3 + 97*w**3.\nAnswer: 547*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l be -49 + 50 - ((-38)\/(-9) - 8\/36). Put 4, l, 27, 3, 5 in decreasing order.\nAnswer: 27, 5, 4, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-779)\/(-205)*(1*123 + 2). Solve -463 = -6*v - w for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2167040 and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -9777, -10603, -11429?\n\"Answer: -826*t - 8951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60*r + 55*r + 19770 = 0. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 51, -4, 1, -7\/155 in increasing order.\nAnswer: -4, -7\/155, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.2, 6, 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let m be 14\/(-10) - (-4)\/10. Let r be 0 - -4 - (m + 1). Suppose 4*w + w = r*z - 21, -z + 2*w = -3. Solve -5*b + z + 11 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -2*j + 3*j - 3*j. Suppose 5*n - 5*f + 25 = 0, -2*n - 2*f + 5 = -5. Let a(u) = -1 + 1 + n*u**2 - u**2. Determine v(a(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 2*w**3 - 10*w**2 + 5*w + 5. Let n(s) = -3*s**3 + 12*s**2 - 6*s - 5. Calculate 6*g(b) + 5*n(b).\nAnswer: -3*b**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.5 + -0.1. Let z = -0.4 + g. Let m = 1.08 - z. What is m rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 118 is divided by 110.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = -2*k**2 + 16. Let z(r) be the third derivative of r**5\/60 - 4*r**3\/3 + 6*r**2 + 3*r. Determine -3*s(p) - 7*z(p).\nAnswer: -p**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from {h: 1, q: 1, x: 1, m: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 3, -4, -1, 90, -89 in ascending order.\nAnswer: -89, -4, -1, 0, 3, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.48 + -0.28. Let d = -0.7 + 0.2. Let c = 37 - 36. What is the third smallest value in d, c, g?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (150\/4)\/((-1640)\/(-96) + -17) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -11.98997382 + 11.99. Round p to 6 dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -3b5 (base 14) to base 16.\nAnswer: -2eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v be 13 + (-2)\/2*0. Let n(d) = -d + 2*d - v*d - d**3 - 10*d**2 - 12. What is the units digit of n(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + q - 2*q = -178, f - 5*q = -64. Let g = 104 + f. What is the greatest common divisor of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -6498 - -45997. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 2410 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = -m. Let q(f) be the third derivative of 0*f**3 - 4*f**2 + 1\/12*f**4 + 0*f + 0. Give q(z(p)).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 251 = -3031. Suppose 2*k = 3*k - 1. Find the common denominator of 67\/4 and (w\/6)\/5 + k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 208 by 52.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*z - 5*s + 3*s + 1034990 = 0, 0 = -4*z - s - 1380005. Round z to the nearest 10000.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23*w + 13 = 3*y - 25*w, -3*y = 2*w - 5. Suppose -y*q - 91 = -z, 5*z + q - 68 - 387 = 0. What is the remainder when z is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-2)\/15)\/((-80)\/(-100)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -40 = -3*l - a, 5*l + 3*a - 72 = -0*l. Is l a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 605, 1903, 4063, 7085, 10969, 15715, 21323?\nAnswer: 27793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from hfhfhfhhhhfhhhfh. What is prob of picking 3 f and 1 h?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i + 4. Let h(j) = -j + 3. Let m = 25 - 27. Let d be (2 - -2) + 14\/m. Give d*c(q) + 4*h(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) = -252*i**2 + 9044*i + 1103. Determine j(36).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = 39*a**2 - 381*a - 11. Let u(y) = 14*y**2 - 127*y - 4. Calculate -4*q(v) + 11*u(v).\nAnswer: -2*v**2 + 127*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(d) = 2*d + 1 + 895*d**2 - 1 - 900*d**2. Let x(n) = 84*n**2 - 35*n. Give 35*a(t) + 2*x(t).\nAnswer: -7*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*t - 4*m + 1052 = 0, -4*t = -m - m - 1046. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 19*p + 5*d = 14*p - 15, -6*p + 15 + 22 = -d + 34 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -13978, -54606, -122304, -217060, -338862, -487698?\nAnswer: -663556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 15) to base 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = v**3 + 4*v**2 - 6*v - 2. Let h be p(-5). Suppose -5*x + 5*u + 33 = u, -x - 4*u = h. Suppose 0*a - 5*k + 8 = 2*a, x*a - 20 = -3*k. Is 4 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4 - (1 + 8 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*v**2 - v + 278 + 332 + 6*v**2.\nAnswer: -3*v**2 - v + 610","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = 2*n + 1. Let l(p) = p. Let j(a) be the second derivative of a**4\/12 + 4*a**3\/3 + a**2\/2 - 3*a. Let f be j(-8). What is f*i(c) - 4*l(c)?\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -689 + 729. What is the greatest common factor of n and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 762?\nAnswer: 2, 3, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 39208?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 34631 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/61? (a) -3\/7 (b) -44.1 (c) -3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2590 a multiple of 107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -11840 - 13038 = -113*u - 22392 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 538432028 to the power of 1\/2, to the nearest integer?\nAnswer: 23204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 18808?\nAnswer: 2, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve v + 7 = -2*z, 0 = 6*v - v + 5*z + 20 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -t**3 - 35*t**2 - 192*t + 25. Calculate a(-6).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 994 and 1101159874.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 197176034?\nAnswer: 2, 11, 19, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -t**3 + 7*t**2 + 10*t - 11. Let c be q(8). Let p = 5 + c. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (4 - (-42)\/5)\/(2\/10) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 10 + ((-10)\/(-5))\/1. Suppose h = -0*s + 4*s. Let b(j) = -1 - 5 + s*j - 2*j - 4. Give b(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -42668 - 7*t**3 + 2*t + 3*t**3 - 154802 - 13*t**3.\nAnswer: -17*t**3 + 2*t - 197470","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 209646091?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) be the second derivative of 5*m**4\/12 - 5*m**3\/6 + 5*m. Solve c(d) = 0 for d.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.014 + 27.986. Let a = -28.000085 + o. Let z = a + 0. Round z to 5 dps.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = 5*o + 29. Let y be (-10 - -4)*4\/6. What is the units digit of -27*1\/(-3)*(y - o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) be the first derivative of 35*o**2 + 73*o - 14. Differentiate h(f) wrt f.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 477284358 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1437 is divided by 158.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) be the second derivative of -1\/6*l**3 + 0 + 0*l**2 - 6*l. Let a(z) = 4*z**2. What is a(q(h))?\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/7 - (-19)\/((-5320)\/(-24)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*j + 2*j - 3*j)*(2*j**2 + 4*j**2 - 2*j**2) - 272*j**3 + 27*j**3 - 52*j**2 + 52*j**2.\nAnswer: -249*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 2*g**2*j**2 + 2*g**2*j + 2*g**2*x - 5*g*x + 3*j**2*x - 157*j**2 wrt x?\nAnswer: 2*g**2 - 5*g + 3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand 852238*a - 11*a**2 + 63*a**3 + 11*a**2 - 852219*a + (0*a**3 - 6*a**3 + 4*a**3)*(-3 + 5 + 0).\nAnswer: 59*a**3 + 19*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8331264cm in millimeters?\nAnswer: 8.331264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 42.1 times 0.02?\nAnswer: 0.842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*m + 41 = -23 - 56 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*b**2 + 66 + 5 + 47 + 0*b**2.\nAnswer: -2*b**2 + 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be (0 + 0\/(-1))\/(-2). Let c be (0 - (1 - n)) + 28. Suppose -3*u = -2*u - 5*t - 19, -c = -u + 3*t. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -0.4, -1, 10, 4\/5, 34.3703, 1.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 2*s**3 + 12*s**2 - 1818*s - 10884. What is c(-6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.01 - 0.1?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from nnngngnggn.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 176025578 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: Rearrange -1195 + 563*c + 197*c + 549 + 646 to the form z*c + i and give z.\nAnswer: 760","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*b**2 - 20*b**2 + 122*b + 75*b - 69*b**2 - 197*b.\nAnswer: -118*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express -816*y**4 + 21 + 14 + 15*y**2 - 34 + y - 15*y**2 as r*y**4 + j*y + d*y**3 + m + g*y**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*q = -3*o - 81, -561*o + 6*q - 166 = -559*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is (34\/4)\/(4\/40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 186238950 to the power of 1\/2, to the nearest integer?\nAnswer: 13647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 57058 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c be 246*(-2)\/(-42) - 6\/8*160\/20. Solve 10\/7*x**5 - 170\/7*x**2 + c - 86\/7*x**4 + 214\/7*x**3 - 8\/7*x = 0 for x.\nAnswer: -2\/5, 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-14)\/4 + 2075\/166?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 134 divide 12194?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-4)\/22 - (-3567)\/319. Solve -13*m - 8 = -u*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((5 + 8 + 0)*(-1 + 0 + 0) + (-464 + 196 + 198)*(-3 + 4 + 1))*(o**3 + o**2 - o**2) to h*o + i + d*o**2 + a*o**3 and give a.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -20 + 2 + 7 + 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -214*b + 110. Let m(j) = -107*j + 50. Calculate -6*a(u) + 13*m(u).\nAnswer: -107*u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = -202.69 + -0.31. What is the biggest value in -0.2, 1\/2, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m**2\/5 - 231912*m\/5 - 6722896968\/5 = 0. Calculate m.\nAnswer: -57978","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 42478477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 0.05, -4, 1, -4\/9 in increasing order.\nAnswer: -4, -4\/9, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 y and 1 u when three letters picked without replacement from yggugyyyuy.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 60*325\/(-25857) + (-4)\/34 and 11\/27.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i. Let n(p) = 6*p + 2. Let j(y) = 5*b(y) - n(y). Let f be ((-8)\/(-10))\/(26\/195). Let x be (-5 + 3)\/(f\/(-18)). Determine j(x).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.15 in 6, 3329, -15?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -b = -5*x + 24, 3*b - 23 = x - 5*x for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let b be (6\/3002)\/((-4)\/1132484596). Let v = b - -565865. Let r = 4\/79 - v. What is the closest to 0.1 in 0.3, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 252 and 112.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -w**3 - 3*w**2 - 9258*w - 6954963 wrt w.\nAnswer: -3*w**2 - 6*w - 9258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = -2*t - 76, 145 = -4*t - 0*g - 3*g. Let i = t + 52. Let o = 16 - i. Which is the third biggest value? (a) o (b) 0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -2*g - 3. Let i be p(-6). Suppose 2*v + 41 = -v + 5*q, -12 = -3*q. Let y = i + v. Solve 0 = y*j - 4*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1523 is divided by 1364?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -45, -110, -167, -204, -209, -170, -75, 88?\nAnswer: 331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = -53*m**2. Let v(k) = 5*k. Calculate t(v(r)).\nAnswer: -1325*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u\/(u*u**(-7\/4)\/u))**(4\/23)*u\/(((((u\/u**(-22))\/u)\/u)\/u)\/u*u)*u**(2\/11)\/u)**(-26) assuming u is positive.\nAnswer: u**(127218\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/(-4 - 0) - -1. Let r be c*((-8)\/5 + 2). Is 2 less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3443065?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:40 AM and 7:05 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 1143424 (base 5) to base 15.\nAnswer: 6694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 17 + 3*q**5 + 6 + 16 + (32*q**4 + 12*q**5 - 32*q**4)*(2 - 4 + 4).\nAnswer: 27*q**5 + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 1538941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -x**2 - 7*x - 4. Let v be r(-6). Suppose -v*h = 1 + 5. Suppose 0 = -0*f - f + 1. Sort h, 0, f in descending order.\nAnswer: f, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 470862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x, 1 q, and 1 m when four letters picked without replacement from xmxqkq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 10304 (base 5) to base 12\nAnswer: 4a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 140 a factor of 48433420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*n + 7 - 9, 5*n - 172 = -3*w. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 34*a - a - 19 + 21 + 3*a**2 wrt a.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 197 = 1003. What is the common denominator of j\/(-54)*3\/(-2) and 8 + (8 - (-501)\/(-30))?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 5 (b) 51\/16 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 7*w**2 - 6*w - 5. Let f(g) = 6*g**2 - 6*g - 4. Calculate 5*f(j) - 4*y(j).\nAnswer: 2*j**2 - 6*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 1122, 4327, 9704, 17283, 27094, 39167, 53532, 70219?\n\"Answer: 5*d**3 + 1056*d**2 + 2*d + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p be (0 - (2 + -2))\/1. Suppose p = -q + 391 - 129. Is q\/8 + 1\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -2\/5, 4, -21, 73.4, -2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3 - -200?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 3*g - 36. Let o be q(13). What is the second derivative of -32*y**4 + 2*y**5 + 32*y**4 - o*y**5 + 12*y**2 - 2*y - 53 wrt y?\nAnswer: -20*y**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -3\/2 - -3. Let i be 2950\/531 + 4\/9. Find w such that m*w**2 + i - 6*w = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 10427836?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -25*i - 203. Determine s(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 10 and (1 - -9)\/(-5) + 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l such that 2*l**2\/11 + 4952*l\/11 + 3065288\/11 = 0.\nAnswer: -1238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 12549, 50233, 113039, 200961, 313993, 452129, 615363, 803689?\n\"Answer: -l**3 + 12567*l**2 - 10*l - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-70)\/(-84)*5\/((-50)\/(-3)). Let p = 12 - 11.9. Which is the biggest value? (a) f (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 89*z - a + 677 = -34, -2*z + 3*a - 13 = 0 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-10)\/(16\/(-1663 - 1)). Solve -1030*l = -p*l - 40 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**3 - 6*v**2 - 8*v + 9. Let g be z(7). Let l(c) = c**2 + 9*c - 5. Let f be l(-9). Put -3, g, f, 5 in decreasing order.\nAnswer: 5, g, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1\/(-2)*(-4)\/(-2). Let f be (b + 1)*3\/(-3). Solve 4*w + 3 + 13 = f for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 156, 305, 454, 603, 752?\nAnswer: 901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 15271.229 - 15261. Let a = k - 10.22895727. What is a rounded to 6 decimal places?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 67426547, 67426548, 67426549, 67426550?\n\"Answer: w + 67426546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-5)\/(13\/(78\/(-30)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 2*l + 11. What is v(9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3069 divided by 8279.\nAnswer: -3069\/8279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:40 PM and 9:39 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from naannannnnnnnana. What is prob of sequence an?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*k**3 - k**3 - 2*k**3 + (-2*k**2 + 4*k - 4*k)*(-k - 2*k + 0*k) + 4*k**3 - 6 - 5*k + 13 - 9.\nAnswer: 12*k**3 - 5*k - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (16 + 18 - 57) + -4 + (1 - 1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 40\/4*4\/10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -21519957, -21519958, -21519951, -21519930, -21519889?\n\"Answer: u**3 - 2*u**2 - 2*u - 21519954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 235, 384, 521, 646?\nAnswer: 759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let z be 26 - 17 - (13 + -1). Which is the closest to 0.04? (a) z (b) -2\/7 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 204\/425*(12 + (-372)\/36).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 14 + -12. Sort -5, a, -2 in ascending order.\nAnswer: -5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8719, -18399, -28079, -37759, -47439, -57119?\nAnswer: -66799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = 2*y**2 - 2*y**2 + 5 + y**2 + 3*y + 1. Let s(g) = -g**2 - 2*g - 7. Suppose 2*l = -l + 12. Let b(z) = l*c(z) + 3*s(z). Determine b(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -70 - -72. Let v(l) be the first derivative of 2\/5*l**u + 2\/5*l + 2\/15*l**3 - 3. Factor v(p).\nAnswer: 2*(p + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 2*t**4 + 14*t**3 + 5*t**2 + 5759*t wrt t?\nAnswer: 24*t**2 + 84*t + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:14 AM and 2:32 PM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -0.5 (b) -296 (c) -1\/6 (d) -2\/5 (e) 3 (f) -1168 (g) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: (12\/(-2))\/(-22 + 336\/((-308)\/(-22)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -o**3 - 7*o**2 + 16*o - 13. Let y be g(-9). Let h be 3 - (y - 4) - 0. What is the second derivative of 2*m + 15*m**2 + 13 - 13 + 19*m**h wrt m?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*z = 2*n + 12, z + 10 = 3*n - 6 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (((-5082)\/(-45))\/7 - 7) + -2 + -7\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -43.8*671.\nAnswer: -29389.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does -1\/427 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 385 minutes before 5:53 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 181935838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h = -204 - -203. Let k be 4*h + 11850\/1343. Is k > 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 11646523?\nAnswer: 7, 1663789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o**3\/4 + 8455*o**2\/4 + 16891727*o\/4 - 4198403383\/4 = 0. Calculate o.\nAnswer: -4339, 223","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 5325 + -151165?\nAnswer: -142540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify l*l**(26\/5)*l\/(l\/(l*l**(6\/5)))*l assuming l is positive.\nAnswer: l**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Convert -1203010121 (base 4) to base 3.\nAnswer: -202121122002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ka when two letters picked without replacement from {q: 1, u: 2, k: 2, a: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*q + 3*q. Suppose q = -k, -5*f + f - 5*k = -24. Find the second derivative of -10*w**3 - f*w - 17*w**4 + 10*w**3 + 3*w wrt w.\nAnswer: -204*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-58)\/(-58)*(12\/(-80))\/((-12)\/10).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o = -17 - -34. Let p = o - -30. Calculate the highest common divisor of p and 141.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (-148942)\/(-8) - (988\/208 - (-6)\/(-1)).\nAnswer: 43, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = 11*t - 17 - 22 + 13 + t**2. Let w be l(2). Is w smaller than -2\/349?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -8 - ((-632)\/(-12) + 2) - (-2)\/(-6). Which is bigger: -74 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 2*u + 0 + 14 - 5*u**2 + u**3 - 2*u**3. Let h(w) = w**2 - 6*w - 5. Let p be h(0). Let c be o(p). Solve 4*z = 2*f + 2*z, c*z = -4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) -4 (b) -3 (c) 608\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -338, 2, 1, -25, -907 in descending order.\nAnswer: 2, 1, -25, -338, -907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*-5*sqrt(612) + 1)**2*3.\nAnswer: 720*sqrt(17) + 734403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11*l**2 + 8*l**2 - l**2.\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 860 is divided by 4*4*(-11)\/44*-34?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -27787024, -55574046, -83361068, -111148090, -138935112?\n\"Answer: -27787022*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-2))**(6\/29) assuming w is positive.\nAnswer: w**(-12\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k = -320.44 - 2.56. Let z = -323.00247 - k. What is z rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k - 3*n = 115700, -2*k - n + 225884 = -5495. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0005107092 to five decimal places.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -15, -26, -37, -48?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -1188, -1186, -1184, -1182?\nAnswer: -1180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * 33.5659.\nAnswer: -6.71318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0023775 rounded to 4 decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -j**2 + 5*j - 2. Let d be v(5). Let i be d\/(-4) - (-35)\/10. Let o(h) = -h + 5. Let l be o(i). Solve 3 = b - l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/15 of a day in seconds?\nAnswer: 23040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = v**2 - 17. Suppose 15*n = 17*n. What is a(n)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*p - p + 78. What is the units digit of 2\/13 - (-768)\/p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 a and 1 j when three letters picked without replacement from ajaajj.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = 11586 - -12460. What is the highest common factor of 22 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -334, -367, -422, -499?\n\"Answer: -11*t**2 - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 27 - 25. Factor -2*g + 10*g - 31*g**c + 5*g**4 - g**2 + 34*g**3 - 15*g**4.\nAnswer: -2*g*(g - 2)*(g - 1)*(5*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1004 a factor of 71095248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*l**2 - 5*l + 5*l + 1539 - 489 - 1050.\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 2*b = 16, -k + 0*k - 4*b = -24. Let w be (k\/(-3) - -4)*15. Suppose -15*q - w = -19*q. Calculate the highest common divisor of 1 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 555 + 461b9?\nAnswer: 46741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i = 405 - 410. Sort -4\/5, 0, i, 2 in decreasing order.\nAnswer: 2, 0, -4\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = -t**2 + 5*t - 4. Let c be l(4). Suppose -8 = -4*d - c*d. Suppose -q + 45 = m + m, -2*q + 42 = d*m. Solve 0 = 5*w + 2*p + 9, 5*p - m = 4*w + p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -7 + -1 + ((-12 - 29) + 25 - -23)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 252796 is divided by 36037?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 24, -11\/3, 13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 52 minutes before 3:31 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 111*m*u**4 + 3*m*u + 69*m - 231*u**4 - 48*u - 2 wrt u.\nAnswer: 1332*m*u**2 - 2772*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -2*l - 20. What is g(6)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 2*g = -5. Let b = -3 - g. Let l(y) = 2*y**3 + y**2 - 3*y - 2. Calculate l(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = -k - 14. Let p be l(-14). Suppose p = -g + 3*j - 1 + 105, g + 5*j = 120. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1549 + -1545. Put -74, -3, n in descending order.\nAnswer: n, -3, -74","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + 4*w + 2 = 0. Suppose -3*f - 3*p = 15, -4*f + p + 4 = -3*p. What is the second smallest value in f, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 318846036 and 193?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -314 - 4?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 66, 54, 32, -6, -66, -154, -276, -438?\n\"Answer: -q**3 + q**2 - 8*q + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a = -5*h - 28, 683 - 715 = -3*a + h for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -5 or -49\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in five eighths of a kilogram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l = 442 - 505. Which is smaller: l or -59?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -m**2\/5 + 157*m + 790 = 0 for m.\nAnswer: -5, 790","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 136957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -86*x + 149*x = -1701 for x.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(p) be the second derivative of 0 - 3*p + 0*p**5 + 0*p**3 - 5\/3*p**4 + 0*p**2 + 17\/30*p**6. Find the third derivative of b(a) wrt a.\nAnswer: 408*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 131245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t + 650 + 298 = 0. Let y = t + 245. What is the remainder when y is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3\/4, 0.4, 0.00814, 213, 2 in increasing order.\nAnswer: -3\/4, 0.00814, 0.4, 2, 213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) 2\/11 (b) -3\/10 (c) 29 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5 - (23 + -10)) + 6 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -205040000 to the nearest one million.\nAnswer: -205000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 458 minutes before 8:32 AM?\nAnswer: 12:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**0*v)\/(v\/(v\/(v*v**2))*v))**(-4\/21) assuming v is positive.\nAnswer: v**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + (0 - (2 - 6 - -1)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 171*o + 2375 - 846 - 17774 = 0 for o.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 25741753069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -5*c**4 - 31. Let n(s) = 11 + 3*s**3 - 3*s**3 - 5 + s**4. Let v(i) = 2*h(i) + 11*n(i). Differentiate v(j) wrt j.\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 4 + -2. Let l(h) = h**2. Let n be l(r). Suppose -4*p + 20 = 4*c, -n - 1 = -p + 3*c. Solve -p*u - m = -7, 0 = -u + 4*m + 6 + 8 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f - 5*k + 6074 - 95 = 0, 3006 = f - 3*k. Suppose f = 36*t - 15723. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 4427*h**2. Let r(j) be the second derivative of -5*j**3\/6 + 5037*j. Give r(n(v)).\nAnswer: -22135*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10*k - 11 = -12*k - 3*v, -2*v = 4*k - 10. Suppose -5*n + k = -9. Solve 0 = n*a + m - 10, 5*a - 14 = 3*m + 11 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + -1 + 0 - (-42 - -36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -18 (b) -512 (c) 0.5 (d) 218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42 = -4*c + 118. Let t = c - 19. Solve -4*x + x = t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 1154436 + 160?\nAnswer: 1154606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 140597591 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Product of -2866 and 0.1.\nAnswer: -286.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 7 - 4b5d32?\nAnswer: -4b5d2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*s**2 - 136*s + 132.\nAnswer: 4*(s - 33)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -4 (c) -0.5 (d) -23 (e) -922\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 27436*y - 27512*y = 1292 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*n**3 - 3564394*n**2 + 794053863400*n + 1191088815000.\nAnswer: 2*(n - 445550)**2*(2*n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c\/(c\/(c*(c*c**2\/c)\/c))*c*c*c**9*c)**(-47)\/((c**0)**44*(c*c**(-2\/3)*c)**(3\/13)) assuming c is positive.\nAnswer: c**(-9169\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 637477283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -2*t**3 - 16*t**2 - 10*t - 3. Let q be x(-11). Let b = 1354 - q. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(-2) + (-2)\/(-6). Let t(f) = 3*f + 5. Let z be t(-4). Let q = z - -8. Which is smaller: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -108 (base 10) to base 11.\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tw when two letters picked without replacement from tfwf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 115 a factor of 1012723505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -177620856 divided by 123\nAnswer: -1444072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -2*i**2 + i + 4. Calculate v(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 4*d = 5. What is the first derivative of 13*b - 20 - 5*b - d + 2 wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4751572, -9503171, -14254770, -19006369, -23757968, -28509567?\nAnswer: -33261166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 4179 and 91535025.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be 10\/18 - 16\/(-36). Let r(z) = -11*z - 8. Let q(j) = -j - 1. Calculate x*r(i) - 6*q(i).\nAnswer: -5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 1.2*-1175\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c = -6*c + 33. Let b = -34 + 86. Let j = b - c. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 354665\nAnswer: 4\/354665","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 340*w + 2*c - 34 + 4 = 342*w, 0 = 5*w + 5*c - 55 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 + 2 + (-5 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the second derivative of k**6\/360 + 7*k**5\/120 + 13*k**4\/12 + 10*k. Let z(u) be the third derivative of q(u). Let d be 2\/5 + (-32)\/5. What is z(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -1\/17 (b) 16 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - 20 - (-239 - -229)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 205185 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = 14*c - 29 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 140, 195, 290, 431, 624, 875?\nAnswer: 1190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p\/(p*p**3*p))\/p**(5\/6)*(p**6*p*p)\/p**1 assuming p is positive.\nAnswer: p**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*k = -24*k - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = n**3 + 8*n**2 - 10*n - 6. Let s be t(-9). Let k(q) = s*q - 2*q - 6 - 2 - 2*q. Let x be k(-13). Calculate the highest common divisor of 45 and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -15\/7, -369\/5480, -1\/2 in descending order.\nAnswer: -369\/5480, -1\/2, -15\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find s such that -3*s**5\/2 - 103*s**4\/4 - 321*s**3\/4 - 83*s**2 - 27*s = 0.\nAnswer: -27\/2, -2, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26*y + 23*y = 5*q - 300, -4*q - y + 247 = 0. What is the least common multiple of q and 207?\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 3, -163 in decreasing order.\nAnswer: 3, -8, -163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -14 + -111254253?\nAnswer: -111254300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express (-3*m + 4*m - 15*m)*(175 - 129 + 360) in the form b + a*m and give a.\nAnswer: -5684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-4\/9)\/k*k**(-2))\/(k\/(k**(1\/10)*k))**(-41) assuming k is positive.\nAnswer: k**(-679\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = 134 + 156. Let n = x + -281. Solve -2*y + 4*q = -n - 1, 5*q + 5 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*j - 202 + 602 = 0. What is the tens digit of (j\/(-15))\/(2\/(-51))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 24*k - 60. Calculate the remainder when 310 is divided by d(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (-3 + 3*(-5*(1 + sqrt(147)) - 2*sqrt(147)*6))*5)**2.\nAnswer: 328440*sqrt(3) + 9567139","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1540 and 572?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-9)\/6*(0 + -2). Suppose 3 + 3 = 2*c - l*o, 5*c = -3*o + 15. Solve c*r - 13 = -4*j + 2*r, -5*j + 35 = 5*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 127514289, 127514303, 127514325, 127514355, 127514393, 127514439?\nAnswer: 127514493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 0.2 (b) 3 (c) 2 (d) 368\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/9 in -0.4, -5, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = -u**2 - 5*u + 2. Let j be t(-4). Let n(p) = p + 3. Let i be n(j). Let s(h) = h + 12. Is s(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 80 + 23 + -47 + -1 + 63.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from mofmfb. Give prob of picking 1 m and 1 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -12\/13, -0.2, 3\/13, 3, 1\/2 in ascending order.\nAnswer: -12\/13, -0.2, 0, 3\/13, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2770 divided by -5.\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -83821 - 120976 + 59958 = 1761*w + 6607 for w.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1\/(5\/10))\/7.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -5*f + 187. Let s be k(-47). Let d = -406 + s. What is the remainder when 27 is divided by d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(g) = -g**2 + 11*g + 16. Let q = 12 + 0. Let v be s(q). Solve v*k - 1 = 5*o - 13, 0 = 2*k + 6 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117) + 1 + sqrt(13))**2 + (4*2*sqrt(13))**2.\nAnswer: 8*sqrt(13) + 1041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in -2\/7, -1\/4, 13, 0.5, 7\/135?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*x\/(x\/x**(-5\/3)))\/(x*x**(2\/17)))\/(x**(-2))**(-8\/3) assuming x is positive.\nAnswer: x**(-121\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -46555 and 1?\nAnswer: -46555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let o(s) = -s + 0 - 2 + 6. What is the remainder when (-11)\/(-2 - (2 + -3)) is divided by o(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2327560368 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -6032 + 6026. Let a(f) = f**3 + 3*f**2 - 17*f + 12. Calculate a(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -61\/82528 and -65\/992.\nAnswer: 2558368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = 7 + 8 - 23 - 16*y. Suppose 18*j - 13*j + 20 = 0. What is the tens digit of d(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:40 PM and 3:50 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -3, -7, -13, 174 in decreasing order.\nAnswer: 174, 5, -3, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find b such that -3*b**3 - 303*b**2 - 3477*b + 234423 = 0.\nAnswer: -61, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -446190, -446185, -446178, -446169, -446158, -446145, -446130?\nAnswer: -446113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1c0e5d (base 16) in base 12?\nAnswer: -748079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 158647496 by 4.\nAnswer: 39661874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 130887678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -5*j. Let g(v) = 54*v**2 + 26*v. Let b(t) = -3*t**2 - 9*t. Let p(u) = -3*b(u) - g(u). Give p(n(h)).\nAnswer: -1125*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 2068824 and 552.\nAnswer: 47582952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -25 + 9 + 13 + 2*q**2 - 3*q**3 + 2*q**3 + 3*q to r + b*q + n*q**2 + u*q**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27\/6*7\/42.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 322079 is divided by 488.\nAnswer: 487","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3.205 + 3.45. Let v = -0.245 + q. Which is the closest to 1\/4? (a) -0.2 (b) v (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 13 + -7. Suppose 0 = -4*q + 16, 3*z + q = o*z - 5. Sort z, -1, 2 in ascending order.\nAnswer: -1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*s**6 - 21*s**4 - 6*s**3 + 8*s**2 + 7*s + 68?\nAnswer: -240*s**3 - 504*s - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 36 + -54. Let o(v) = -v**3 + 7*v**2 - 2*v - 25. Let q be o(6). Which is greater: j or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 22, 14\/3, 3\/5, 2\/7 in decreasing order.\nAnswer: 22, 14\/3, 3\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(250) - (sqrt(250) + 2*sqrt(250)))*4)\/(sqrt(5) + sqrt(15)\/sqrt(3)*-4 + sqrt(5)) + -2)**2.\nAnswer: -80*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 61057584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.5677185 litres to millilitres.\nAnswer: 567.7185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 12*o = -4*j + 96, -16*o + j = -17*o + 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) - ((sqrt(20))**2 + 4)) + (-2 + -1 + sqrt(5))**2 - (3 + sqrt(5)*-1)*5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 10671 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 17 - 13. Solve -n - 4 = -0*n - 3*j, r*n = 4*j - 8 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 78186543653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of ((-2)\/(-6))\/(1*(-3)\/(-1647)) and 33.\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -4*y - 7. Let p be a(-5). Let k = 275 + -158. What is the greatest common divisor of p and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 5961950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3 + 6 - (12\/(-4) - -2) and 37.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + j = -107, 80 = 2*w + 2*w + 2*j. Calculate the greatest common factor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 0.412 at most 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + (12 + -16 - ((-1 - -5) + 14 + -36))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/27 (b) 44 (c) 0.4 (d) 0.0096 (e) 3 (f) -0.16\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 1.2295 to one decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence bb when two letters picked without replacement from {r: 7, b: 5, g: 1}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 20 = 0, -2*o + 4 = q + 1. Let m = 151692 + -151678. Which is smaller: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -49.41 + 45.41. Which is the smallest value? (a) 1\/10 (b) q (c) 0.0409\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*p - 0*w + 3*w + 6, 10 = -4*p - 5*w. Let c = 1 - 0. Let x = c - 5. Sort x, p, -5 in decreasing order.\nAnswer: p, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 32966521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 1651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.02 in 4.8, -1517, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 614245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = 38 + -28. Let k be 2\/(-4) + 95\/n. Let m be (18\/5)\/(2\/40). Calculate the greatest common divisor of m and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 + 1. Sort n, 0.2, -2\/9.\nAnswer: -2\/9, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-1 - (-92)\/(-16))*1*-4. What is the greatest common divisor of s and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -552*j - 127*j**2 + 226*j**2 + 38088 - 97*j**2 = 0 for j.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 w, 1 y, and 1 o when three letters picked without replacement from yoggogogwoowgaggyyo.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 3 * -403992478\nAnswer: -1211977434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.4 + 0.8. Let s = -9 + 8. Let k = -244 + 242. Which is the nearest to s? (a) k (b) -3\/5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-16)\/(-20))\/(4\/10). Suppose 3*h + 0*j + j - 21 = 0, t*j + 6 = 2*h. Suppose -h*n = -n - 5. Put 4, n, -5 in decreasing order.\nAnswer: 4, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30730392 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 0 <= -21\/1643?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*w = -15*w - d + 4, w + 4*d - 1 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.062284535 to three decimal places.\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-6)\/3 + 1)*3775559. Let x = 6295559 + m. Round x to the nearest 100000.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -990 + 1090 + 27*b**2 + 11*b**2 as a*b + r*b**2 + h and give h.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**1*t\/(t\/t**6))\/(t**(-2\/7)*t*t)**(-1\/10))**48 assuming t is positive.\nAnswer: t**(12048\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 68593.\nAnswer: 7, 41, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = r + 32. Let c be v(-30). Factor -3\/5*h**c + 3\/5 + 0*h.\nAnswer: -3*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -3, -333, 5040, -0.13?\nAnswer: 5040","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 601, 5546, 19589, 47476, 93953?\nAnswer: 163766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = 2 + 0*b**3 + b**3 - 1 + 0*b**3. Let q(n) = -4*n**3 + n**2 - 5. Let l = 3 - 0. Suppose 0 = 4*t + l - 11. Calculate t*q(y) + 10*j(y).\nAnswer: 2*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = 95 + -47. Suppose q - 139 = 5*a, a + 31 = -3*q - 0*q. Let v = d + a. What is the greatest common factor of 5 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 40755 and 1637515?\nAnswer: 1045","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 1372664353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 30315 and 3431940.\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 10781 divided by -325\nAnswer: -10781\/325","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 153947 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10657 + -1631398.\nAnswer: -1620741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s and 1 d when two letters picked without replacement from wswsdsdsdsswsdsdswd.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 3*h + 6. Let t be m(3). Let a = t + -26. Is -13 > a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1914 - -3522. Suppose -27*k + 417 = -z. Calculate the remainder when k is divided by 38.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r - 9 - 9 = 0. Let j be r\/(3 + 36\/(-15)). Differentiate -6 - j + 48*f**4 - 51*f**4 + 4 wrt f.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3239*f*h**4 + 380936*f*h**2 - 26*h**3 wrt h?\nAnswer: 77736*f*h - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -114 + 564. What is the greatest common factor of 72 and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**7\/t**(-3\/5))**(-2\/89)\/((t*(t*t**(-1\/3)*t)\/t)**45)**39 assuming t is positive.\nAnswer: t**(-1301701\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3557 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 5135535 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: List the prime factors of 9934.\nAnswer: 2, 4967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 0.26 + 1.74. Let k be (0\/(-9))\/(-1*1). Put -3, k, v in descending order.\nAnswer: v, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*(-2 + -2 + 2*sqrt(343) - (2*sqrt(343) + sqrt(343))*-6*1)*-5)**2.\nAnswer: -700000*sqrt(7) + 85760000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 284 a factor of 237103887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1248 and 4404.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = -3*i + 55. Let r be l(18). Let c(k) = 2*k + 3. Let t be c(r). Solve 3*j**2 - 8*j**2 + 22 + t*j + 8 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -8*z**3 - 1. Let i be j(-1). Let y = 4 + -2. What is the units digit of (-3 + i)\/(y\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 9 + 12 + -12 - 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -31\/234 or 1.246?\nAnswer: 1.246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -103 (b) 4 (c) 22 (d) -5 (e) -1.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*r**2 - 6975*r = 0.\nAnswer: 0, 2325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (8\/2)\/(-24)*7*(-10)\/7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from {h: 7, n: 4}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let 2*j**5\/15 - 418*j**4\/15 - 474*j**3 + 17098*j**2\/3 + 417428*j\/15 + 108416\/5 = 0. What is j?\nAnswer: -22, -3, -1, 11, 224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1\/5, 17, 0.82, -0.2.\nAnswer: -0.2, 1\/5, 0.82, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(3\/23)\/(i*i**14*i))\/(i**(-5\/3)*i*i**(3\/22)) assuming i is positive.\nAnswer: i**(-23285\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 2*d**3 - 2*d - 2. Calculate the remainder when z(3) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m = 4*m - 28. What is the second derivative of 2*a**3 - m*a - a**3 - 6*a**3 wrt a?\nAnswer: -30*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 - -4. Suppose 0 = -t - 3*t - 4*z + 32, t + q*z = 13. Calculate the remainder when t is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -19\/28 and 16\/((-35040)\/(-45))*((-122)\/96 + 0)?\nAnswer: 16352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22484611.\nAnswer: 22484611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -2 - (1 + -1 + 5 + 31 + -26)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = -59*v + 27. Let q(c) = -27*c + 13. Let k(t) = 6*p(t) - 13*q(t). Calculate k(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z and 1 q when four letters picked without replacement from {z: 6, q: 13}.\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 136\/119*56\/(-48).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 74*z**3 - 152*z**3 + 82*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o be -1 - 18\/(-15) - (-1254)\/30. Let w = o + -36. What is the remainder when (-2)\/(-2)*-1 + 21 is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2452395 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 68 and 170?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(150) + -3*sqrt(150) - 2*sqrt(294))\/((sqrt(1536) + 2*sqrt(1536))\/(2*sqrt(300))).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let 434*w**3\/9 + 147080*w**2\/9 + 1196000*w - 32976000 = 0. What is w?\nAnswer: -180, 4580\/217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-44*y - 4*y**4 + 44*y)*(-2 - 11 + 9).\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = -152 - -168. Which is greater: z or -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1415 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: Let n(f) = f**3 - 2*f**2 + f - 3. Suppose -3*k - 5*m = 20, m + 3*m + 16 = -k. Suppose i + 4*i - 20 = k. Is n(i) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -9*m**3 + m**2 + m - 2. Let j be y(1). Let c(d) = d**2 + 9*d - 4. Give c(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**2 - 10*x + 1. Let o be l(-9). Suppose 2*g - o - 10 = 0. What is the lowest common multiple of 2 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 6825\/70 - 3\/(-6). What is the highest common factor of 4753 and c?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4887 + 13\/13 + -2 + 6 + -3.\nAnswer: 4889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/(-4)*-5*(-3 - -1). Let u be 0 - -5*(-4 - -6). Let p(k) = k**3 - 10*k**2 + 2. Let w be p(u). Solve w*h - s = -v*s + 10, 0 = -5*h - 4*s + 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18 = 3*m + 21. Let b(d) = 4*d**2 + 3*d + 6. Let l(a) = 1. Let q(u) = b(u) - 4*l(u). Let j(p) = p**2 + p. Give m*q(h) + 2*j(h).\nAnswer: -2*h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 4*o - 13. Calculate the remainder when 14 is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -57 - 237?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = -3*a**3 + 44*a**2 - 13*a**2 - 26*a**2 + a**3. Let d(o) = -o**3 + 5*o**2. Calculate 3*d(y) - 2*p(y).\nAnswer: y**3 + 5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -z - 9. Let p be a(-5). Let l be (p\/(-6))\/(8\/(-12)). Let q(c) = c**3 + 4*c**2 + 4*c + 3. Let n be q(-3). Sort l, 5, n.\nAnswer: l, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10 + 18*b + 10)*((b - 3*b + b)*(4*b + 5*b + 9*b)*(0 + 1 - 2) - 2*b**2 + b**2 + 3*b**2).\nAnswer: 360*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c**3 + 172*c**2 + 5440*c - 45136 = 0 for c.\nAnswer: -26, 7, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (-196)\/(-63)*1\/28*-14\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -143526, -143504, -143468, -143418, -143354, -143276, -143184?\n\"Answer: 7*m**2 + m - 143534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2816)\/(-11264))\/((-3)\/((-6)\/(-11))).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: ((-83)\/(14857\/1611))\/((3\/8)\/1)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 4\/(-26) - 153642\/45240 and -119\/1720?\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 3 + 3*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o - 5*l - 1 - 4, -56 = -4*o - l. Let g(u) = u**2 + u - 4. Let y be g(-3). Solve -o = y*h - 7*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -93, -413, -931, -1641, -2537, -3613, -4863?\n\"Answer: d**3 - 105*d**2 - 12*d + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - k - 83 = -d, -4*d + 4*k = 108. Let a = -10 - d. What are the prime factors of a\/8 - (-42)\/4?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2835 and 790.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = x**3 + 13*x**2 - 32*x - 2. What are the prime factors of f(-13)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from xxxxjdxxdx. What is prob of sequence djd?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -61*a + 21 + 0 = -60*a + 7*y, 0 = 4*a + 5*y - 38 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of ((-53)\/(-22) - -1) + (0 - -1) and -17\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ubucuccbcbzczzzzzc. Give prob of sequence bbz.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -12742\/13733 or -2?\nAnswer: -12742\/13733","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -0.07 - 1.675\nAnswer: -1.745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:46 AM and 12:00 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1027, 4110, 9241, 16414, 25623?\n\"Answer: -w**3 + 1030*w**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5452.\nAnswer: 2, 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38 - 132 = 5*k. Let x = k - -124. Calculate the greatest common factor of 10 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.69 times -0.05?\nAnswer: -0.0845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -57\/320 and 9\/4.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/5 in -4, -5, -0.48?\nAnswer: -0.48","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 763 = -106*w - 85 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 46 + -48 + -82 - -119?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 295 minutes after 11:52 AM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 26691 a multiple of 123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*u**2 - 2926*u - 8760.\nAnswer: -2*(u + 3)*(u + 1460)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g = 34 - 34.03. What is g rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 53 - 266\/5. Let y = 1028 - 7194\/7. Let c = 0.7 - -0.3. What is the nearest to y in x, 3, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*v**4 - 164292*v + 0*v**4 + v**3 - 845*v**5 + 2*v**4 + 165794*v wrt v?\nAnswer: -16900*v**3 + 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minutes after 3:34 PM?\nAnswer: 3:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = y**3 - 6*y**2 + 7*y - 7. Let d be z(5). Let j(i) = 22*i**3 - 4. Let u be j(d). What is u rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 7*b**3 - 4*b + 1. Does 7 divide w(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 89 + 85*z - 163*z + 119*z - 152 in the form t*z + j and give t.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + 8 + (-25)\/4.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = 16 + 23 - 39 - s. Let g = -5 - -7. Let w(b) = -6*b + b**g + 6*b. Determine w(h(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h = -m - 100, -m + 5*m - 3*h + 285 = 0. Let i = m - -818. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1 - -22. What is the remainder when o is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8901, -27500, -58489, -101862, -157613, -225736, -306225, -399074?\nAnswer: -504277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) -3\/100 (b) 3 (c) 3\/2 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2462 and 286.\nAnswer: 352066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 201 is divided by 102?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {d: 4, s: 4, x: 7, e: 1, a: 2}. Give prob of picking 1 x, 1 d, and 1 s.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 38 divide 61028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Does 793988 = 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -2\/3, -19141, -10?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 0.049*0.002\nAnswer: 0.000098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 8831234663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Convert -a191 (base 12) to base 14.\nAnswer: -6565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 392250 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c = 501 + -271. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 2\/5, -2, -4, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-18)\/15*(-30)\/(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3881443.\nAnswer: 3881443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Add 3216709851406 and 0.\nAnswer: 3216709851406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u = -10530 - -21063\/2. Let n be 3\/(-6) - 25\/10. Which is the nearest to 0? (a) u (b) n (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the third derivative of y**7\/1260 - y**6\/16 + 101*y**5\/180 - y**4\/2 - 80*y**3\/9 + 3*y**2 - 312*y. Determine v so that h(v) = 0.\nAnswer: -1, 2, 4, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((sqrt(33) - sqrt(99)\/sqrt(108)) + (sqrt(2673)*-2 - sqrt(2673)))\/((-6*(sqrt(88) - 2*sqrt(88)) - sqrt(88))\/sqrt(8)*-2).\nAnswer: 2 + 157*sqrt(3)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 7506 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z = -12 + 12.9. Let h = z - -12.3. What is h rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**3 - 29*a**2 - 2*a - 8. Does 16 divide g(52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*r**3 - 4*r**3 - 2*r**3)*(287*r - 287*r + 2*r**2).\nAnswer: -4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 658 - 226. Let u = 215 - n. Let z = u + 1522\/7. Which is smaller: z or -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 315040 = 226*q - 194*q. What is the thousands digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1283.84 + 1349. Let p = 65.30218 - q. Let v = 0.141 - p. Round v to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 10 (base 3) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 2153 = -86*f - 3076 - 710 + 435 for f.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let 2*g**5\/3 + 3524*g**4\/3 + 45592*g**3\/3 + 206596*g**2\/3 + 124802*g + 69960 = 0. What is g?\nAnswer: -1749, -5, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*h**3*t**3 + 11*h**3*t**2 + 49*h**2*t**3 - 602*h*t**2 - 26*t**3 + 2*t**2 wrt t?\nAnswer: 30*h**3 + 294*h**2 - 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) = o**2 - 1270*o - 38496. What is t(-30)?\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -183 (b) -4 (c) 0.1 (d) 61 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = -o**2 + 16*o - 8. Suppose -3*i + 33 = 4*f - 18, -12 = -4*f. What are the prime factors of p(i)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -85 + 130. Suppose 0*z = -4*z + 304. Suppose -2*d + 0*x + 35 = -x, -4*x - z = -4*d. Calculate the remainder when m is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2)\/(-4) - 6\/(-4). Let s be ((-6661)\/(-739924))\/((-1)\/i). Let j = 1\/3274 + s. Which is bigger: 1 or j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3.2? (a) -3\/144191 (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-80 - 49 + 97)*(-4 + 13 + 10)*(-2*b**4 + 4*b**4 - b**4) to v*b**3 + x*b**4 + a*b + h*b**2 + w and give x.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 107758 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1102 + -11021112?\nAnswer: -11022221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 152958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 20469 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:19 PM and 9:47 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -32450 divided by -25.\nAnswer: 1298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 3*b - 38. Suppose 1 = 4*k + 9. Let n be ((-3)\/k)\/(2\/12). Calculate the greatest common divisor of b and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -168.186 and 0.03.\nAnswer: -5.04558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*u + 6*u - 12 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 42143615, 84287232, 126430849, 168574466, 210718083, 252861700?\nAnswer: 295005317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-28)\/(-18)*(-336)\/98*2\/(-4)?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 100001101111101 (base 2) to base 16\nAnswer: 437d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/(-5))\/(52\/(-3380)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 345894 (base 10) in base 14?\nAnswer: 900aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 435920 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x = 231 + -229. Let q(o) = -o**3 + 5*o**2 + 2*o - 6. Let f be q(5). Which is the smallest value? (a) f (b) x (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1438 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -55068, -110180, -165288, -220392, -275492?\nAnswer: -330588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = -3*f. Let c = 99 - 88. Let h(l) = 1 + c - 15*l - 12. Calculate j(h(q)).\nAnswer: 45*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 625*k - 718*k - 2*c + 97, -4*k + 14 = 5*c for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -448 - 398 = 19*s - 10. Which is greater: -39 or s?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 91 divide 38778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -36 (base 13) to base 15\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from rrcdccddrpddcdcdcd. What is prob of picking 1 d and 1 r?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -2*h**2 + 20*h - 6. Determine a(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-8 - -8)\/(-2 - 2\/(-2)). Suppose -3*p + 10*p - 819 = a. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 35594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.8, 1, -3, -4, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -u + 9. Let k be v(7). What is the derivative of 6*g**2 + 11 - 24 + 6*g**k wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -52\/204001 and -31\/2702.\nAnswer: 408002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2380 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 1496?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (4\/(-8))\/(1\/(-956)).\nAnswer: 2, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.2 (b) -1\/2 (c) -1318\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1844.5 - -1504. Let u = 341 + l. Let h = -3.02 + 3. Put u, h, 0.08 in descending order.\nAnswer: u, 0.08, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q = 2*z + q - 9, -5*z + 45 = -5*q. Suppose -z*j - 4*j + 110 = 0. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(-2\/13)\/c)\/(c*(c*c**(-2\/31))\/c) assuming c is positive.\nAnswer: c**(-439\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(540)\/sqrt(10))\/(sqrt(3) + (sqrt(6) + sqrt(6) + sqrt(150))\/sqrt(2) + sqrt(3)) + -3.\nAnswer: -3 + sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*z + 2*z - 5*z)*(7 - 2 - 2).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 68602, 68565, 68534, 68509, 68490, 68477?\nAnswer: 68470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of -138, -193, -292, -441, -646, -913?\n\"Answer: -f**3 - 16*f**2 - 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -v - 7*p + 33 = 0, 5*v + 3*p + 2526263 = 2526332 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*c = -3*n + 9, 702*c - 698*c - 2 = -5*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 54 and 99.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 12, 33, 62, 93, 120?\n\"Answer: -d**3 + 10*d**2 - 2*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -8 - -10. Suppose -t*l = -3*z + 45002, -12*l + 59999 = 4*z - 11*l. Round z to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8801 + -1689. Suppose 4*y + 2*j = p, -1914 = -3*y - 2*j + 3421. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(34)\/(sqrt(98)*-4).\nAnswer: -sqrt(17)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 4*m - 5. Let j(u) = -10*u + 12. Let o be 4 + -1 + (2 - 2). Suppose 24 - 60 = -o*g. Calculate g*y(w) + 5*j(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -75*p = -24*p - 71*p - 37*p - 1425 for p.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w be (358 - 348)*(-1)\/(-2). Solve -w = 54*b + 373 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 3 (b) -5 (c) 1799 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 9472731 to the power of 1\/2, to the nearest integer?\nAnswer: 3078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -216 divided by 1237172\nAnswer: -54\/309293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 279*y. Let f(o) = 9*o. Determine q(f(p)).\nAnswer: 2511*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand m**4 - m + m + (-3*m + 3*m + m)*(-3*m**2 + 9*m**2 + 6*m**2)*(-40*m + 41*m - 107*m).\nAnswer: -1271*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = -5*y + 2*y - 11, -4*o = -4*y - 24. Sort 2, 0, 16, y in descending order.\nAnswer: 16, 2, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -321*j**3 + j**2 + 7*j + 15. What is the tens digit of q(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -y**3 - 1. Let h be m(0). Suppose 4*z - z + 18 = 0. Let n(a) = -a**3 - 7*a**2 - 8*a - 9. Let b be n(z). Sort h, b, -3 in ascending order.\nAnswer: -3, h, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = -x**2 - 10*x - 6. Let f be y(-7). Suppose f = 3*z + 2*p, 5*p - 18 + 3 = 0. Solve 0 = z*w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(3 + ((sqrt(288) - (sqrt(288) + sqrt(288)*2)*3) + sqrt(288))**2 + -1 + ((-3*sqrt(288)*5)**2 - (sqrt(288)*-1 + sqrt(288))*6)).\nAnswer: -78914","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 64 + 2?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (3\/(-2)*(-2904)\/(-594))\/(5 - (-924)\/(-180))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 1645453*a**3*t**2 - a**2*t**2 - 715*a*t**2 - 105*t wrt a?\nAnswer: 9872718*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-2)\/(-6) + ((-1911)\/(-873))\/(-7). Is z greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*f + 17 = -11. Let g(k) = k - 2. Give g(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -3*k + 3. Let c be p(-3). Suppose 375 = -17*f + c*f. Let j = -29 - f. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = 5*f - 194*s + 193*s, -f = 6*s - 12 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ecc when three letters picked without replacement from ecccec?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be 0\/(4 + -2) - -3. Suppose -2*d = -j*d + 6. Let y = d + -5. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39 a factor of 858?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(l) be the second derivative of 1\/3*l**3 - 131\/20*l**5 + 17\/6*l**4 + 0*l**2 + 56*l - 1. What is the third derivative of f(o) wrt o?\nAnswer: -786","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.849 from 970.588.\nAnswer: 969.739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 15527, 15873, 16219, 16565, 16911?\n\"Answer: 346*u + 15181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 302589 and 5292?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6*0.09.\nAnswer: 0.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the second derivative of k**7\/630 + k**6\/45 + k**5\/10 + 53*k**4\/12 - k + 4. Let g(n) be the third derivative of u(n). Solve g(d) = 0 for d.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 137 and 2.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = v**2 - 16*v - 14. What is the remainder when 8 is divided by t(17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 11102102 - 201120?\nAnswer: 10200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 113883 is divided by 46?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 611465.3nm to micrometers.\nAnswer: 611.4653","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 77144.6 rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Product of 15.9 and -0.3.\nAnswer: -4.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -26? (a) -1\/6 (b) 0.7 (c) 0.3 (d) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t = 20 + -13. What is the third derivative of -7 + 15*u**4 + t - 4*u**2 + 5*u**2 wrt u?\nAnswer: 360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 795419, 795426, 795433?\n\"Answer: 7*l + 795412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -u. Let m be p(-2). Let q(c) = -2*c**3 - 4 + m + 6*c**2 - 1 + c**3. What is q(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-7182144)\/(-698264)*((-2)\/6)\/1?\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-2 + (1 - 9))\/1. Let t be (-46)\/i - (-8)\/20. Find the third derivative of -2*k**5 - t*k**2 + 0*k**5 + 4*k**2 wrt k.\nAnswer: -120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 17851 is divided by 4455?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*a + 23*a - 149*a**3 + 2496*a**3.\nAnswer: 2347*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h = -247 + 249. Suppose 4*i + i + 3*o - 68 = 0, -2*o = -h*i + 40. What is the greatest common factor of i and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 69*a + 193. Determine w(-6).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 8*g**3 - 4*g**2 - 2*g + 4. Let u(x) = 8*x**3 - 5*x**2 - 3*x + 5. Determine -4*u(l) + 5*w(l).\nAnswer: 8*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 16*u + 1. Let t be m(1). Suppose -5*v + 185 = 5*c, 0*v - t = -v + 3*c. Let f = -10 + v. Calculate the smallest common multiple of f and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = -r**3 + 7*r**2 - 6*r + 2. Let s be d(6). Let p = -1392 - -1397. Solve -22 = p*i + 3*h, 22 = -3*i - s*h - 2*h for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 s and 1 x when three letters picked without replacement from vffvvssgpgxsfxsxf.\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -16280 rounded to the nearest 100?\nAnswer: -16300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*x - 25 + 39 = 0. Suppose -5*c + 150 = -x*o, 2*c - 7*o + 5*o - 54 = 0. Is 20 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -d**2. Let j(i) = 3723*i + 153. Let a(b) be the first derivative of -49*b**2\/2 - 2*b - 30. Let y(v) = -153*a(v) - 2*j(v). What is g(y(x))?\nAnswer: -2601*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z(n) = 32*n + 758. Is 22 a factor of z(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 1771*m + 28961 - 7481 = 799*m - 818*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is (8\/(-28))\/((-33)\/21)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -4354107.0561 from 19.\nAnswer: 4354126.0561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 1056*t**2*z**3 - 443*t**2 + 4*t*z - 64 wrt z.\nAnswer: 3168*t**2*z**2 + 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = 2*i**2 - 20*i - 258. Let p be v(-7). Let c(r) = r**3 - 4*r**2 - 4*r - 5. Let q be c(4). Is p >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - 4 - 1) + -1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) be the first derivative of -9*n**2\/2 + 5*n - 535. Let t(m) = 3*m - 2. What is -3*l(f) - 8*t(f)?\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s be (3 - 3) + -6 + 4\/24*44. Let g(a) be the first derivative of -s*a**3 + 1\/6*a**6 - 4\/5*a**5 - 22 + 1\/2*a**2 + 0*a + 3\/2*a**4. Factor g(z).\nAnswer: z*(z - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -129\/595 - -16\/85. Find the common denominator of -27\/28 and f.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ll when two letters picked without replacement from {q: 3, l: 5, m: 8}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -5611 (base 9) to base 5\nAnswer: -113031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 2 - 4 + 5*i**3 - 6*i**2 + 5*i**3 - 4*i**2 + 8*i**4. Let g(l) = l**4 + l**3 - l**2. Let b(y) = -10*g(y) + t(y). What is the derivative of b(o) wrt o?\nAnswer: -8*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 266 - 239. Suppose 5*j - j = 12, -190 = -2*i - 4*j. Calculate the remainder when i is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f - f + 6. Suppose 2*m = 5*d - f - 7, 0 = 3*m + d + 5. Let t be 1*m\/6*-12. Solve -4*b = -6*b + t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 54 divide 387941769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*h**3*j**3*s - 82*h**3*j**3 + h**3*j**2*s - 2*h**3*s + 2*h**2*j**2*s + 14*h*j**3*s - h*s wrt j?\nAnswer: 12*h**3*s - 492*h**3 + 84*h*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-1 + 0)*-5)\/1. Suppose -5*s - i*p + p = -34, 15 = 3*s - 3*p. Suppose 4 = 2*g - q, -3*q = 2*g - s*g + 8. Solve -v = g*v - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 1, n: 2, s: 1, p: 5}. Give prob of sequence sv.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 15 (b) 1 (c) -0.2 (d) -2\/3 (e) 10\/39 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 2 = -l + 11, -2*l - 3*p = -8. Solve t + 5 = l for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-34)\/4)\/(9\/6 + -1). Let w = b + 7. Let t = 31 - w. Calculate the remainder when t is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i - 970 = 518. Suppose -i = 5*x - 11*x. Let b = 69 - x. Calculate the remainder when 47 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 227310?\nAnswer: 2, 3, 5, 7577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6496.79703 - -3.\nAnswer: 6499.79703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11502678?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) be the first derivative of j**4\/4 + 2*j**3\/3 + 5*j**2\/2 + 3*j - 4. Is s(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -816 + 209 + 213 + 215 + 179 + 15*b**2.\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*x**3 + 350*x**2 + 685*x + 340.\nAnswer: 5*(x + 1)**2*(x + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 5 divided by 48564?\nAnswer: 5\/48564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.5, -0.3, 4, -1 in decreasing order.\nAnswer: 4, -0.3, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = -a**2 - 11*a - 20. Give h(-14).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4dec + -c?\nAnswer: 4de0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 371 minutes after 1:14 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -y + 4*y - y**2 + 7 - 12*y. Let u(o) = 384*o + 1912. Let z be u(-5). What is v(z)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -50*m**3 + 16*m**3 + 5 - 64*m**3.\nAnswer: -98*m**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 4 smaller than 100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k = 421 + 231. Solve 643*o - k*o = -54 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 6*o**3 + o**2 - 3*o. Let p(g) = -11*g**3 - g**2 + 5*g + 1. What is 5*a(c) + 3*p(c)?\nAnswer: -3*c**3 + 2*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 101 is divided by 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 866663175 rounded to the nearest 100000?\nAnswer: 866700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32175 - 1391 = 4*y. Suppose 12104 = 3*f - y. Round f to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-2)\/((-2)\/3))\/((-36)\/(-300)). Calculate the greatest common factor of g and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.15, -3\/7, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 35798.9436 minutes?\nAnswer: 3.5514825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2620*s**3 - 2*s**2 - 3457*s**3 + 707*s**3.\nAnswer: -130*s**3 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1778?\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from klyyynkyy. Give prob of sequence ny.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 54749, 55208, 55667, 56126?\nAnswer: 56585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6468056, -6468059, -6468070, -6468095, -6468140, -6468211, -6468314?\nAnswer: -6468455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*s**2 + s**2 + 0*s**2)*(-2 + 0 + 3)*(7*s**2 - 9*s**2 - 3 - 2) to the form r*s + i*s**4 + x*s**3 + l*s**2 + q and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 7 + -1 + 4 + 1 + -11?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = b - 7 - 4, b = 5*n + 35. Let k(w) = 733332*w - 8. Let s be k(n). Round s to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 1 and -54628.\nAnswer: -54627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of 18592 and -42.\nAnswer: -780864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 804756743?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2483, -22, 1508 in increasing order.\nAnswer: -2483, -22, 4, 1508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 14280?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -38\/9 + 400\/99. Let u = 3 - 6. Which is the third smallest value? (a) y (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (5*o - 2*o + 0*o)*(0 + 6 - 2)*(3*o - 3*o - 3*o)*(38*o**2 + 24*o**2 - 94*o**2) to the form y + k*o**4 + u*o**3 + z*o**2 + x*o and give k.\nAnswer: 1152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 2*69\/(-12)*(-1072)\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = -l + 1. Suppose 188832 - 189120 = -24*z. What is the least common multiple of z and u(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0472 - -4.\nAnswer: 3.9528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3 + sqrt(1900) + 1 + sqrt(1900) - sqrt(1900))**2.\nAnswer: -40*sqrt(19) + 1904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -16037148 or -16037151?\nAnswer: -16037148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be -1 + -7 + 3 - -6. Solve -3*c - 3*j - 3 = 0, 4*j = 2*c - 9 - t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.05, 0.04, 3, 1.\nAnswer: 0.04, 0.05, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 68, 127, 184, 239, 292, 343?\n\"Answer: -o**2 + 62*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 1, r: 3, y: 1}. Give prob of picking 1 r and 1 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -365 (base 8) in base 6?\nAnswer: -1045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 12 minutes after 4:52 PM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 828 is divided by 278.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*q + 8 = -4*j, -5*q - 10 = -j - 0. Suppose -7*z + 4870 + 10789 = j. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 25 + (-18 - -63) + -38 + 78 + 1?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f = -6 + 14. Let p be (f*1\/3)\/((-6)\/(-9)). Let i be (38875\/p)\/((-963)\/960 - -1). What is i rounded to the nearest one hundred thousand?\nAnswer: -3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -355*b**3 - 609 - 92*b**3 - 47*b**3 + 19*b**3 wrt b.\nAnswer: -1425*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 78092 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 12 - 8. Suppose 4 = -r*d + 16. Solve -d*w = 2*w + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*((2 + sqrt(500))*-5 + sqrt(500) - 2*4*sqrt(500)) + -2)**2.\nAnswer: 40320*sqrt(5) + 1153764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(c) = -c**3 + 20*c**2 - 41*c - 18. Give d(18).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -280506 + 4748*z**3 + 280506 - 5353*z**3.\nAnswer: -605*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) = 4*m**2 + m + 1. Let j be (1 - -1)*1*1. Is i(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0000026893 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 1, h: 1, a: 1, c: 1, j: 2, b: 1}. Give prob of picking 1 a, 1 c, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (10*o**2 - 6*o**2 + 9*o**2)*(-o**2 - 4 + 4).\nAnswer: -13*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l - 3*c + 5*c = -4, 5*l = -2*c - 4. Let b(w) = -w**3 + w**2 + w. Calculate b(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 74919840 by -1229.\nAnswer: -60960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is -3635 smaller than -3632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d - 153 = -5*h, -5*h + 2*d + 3*d = -155. Let c = -21 + h. Round c to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b + 3 + 3 = 0. Suppose -b*d = -0*d - 2030. Let o = d - 710. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -17855? (a) 64 (b) -5 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-26 - (47 - 87)) + -1 + 18.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 64329430 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*r + 5*h - 70 = 0, 3*r - 1034*h + 1031*h = -15 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0 or -180050\/71?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (74\/5661)\/((-3)\/(-27))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 x and 1 r when two letters picked without replacement from {x: 2, r: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify u\/u**(2\/5)*u**10*u*(u**(1\/2))**38 assuming u is positive.\nAnswer: u**(153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.7710777 + 0.771. What is n rounded to 6 dps?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -1 + -3. Let n = 574 + -579. Let o = 1.1 - 1.3. Which is the third smallest value? (a) s (b) n (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*d + 0*d + 49840 = 0. Is d\/(-10) - (7 - 2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of ((-2)\/((-1260)\/(-22)))\/(9 + (-9595)\/1083) and 71\/1400.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*a**5\/11 + 2*a**4\/11 - 2*a**3\/11 - 2*a**2\/11.\nAnswer: 2*a**2*(a - 1)*(a + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*1\/(-3)*85\/17?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 34410 and 744?\nAnswer: 137640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 84*i**2 - 3*i - 21*i**2 + 9*i**2 - 1. Is s(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 187 + -5?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 83, 4, -6 in increasing order.\nAnswer: -6, -1, 4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -g**3 + 4*g**2 + 6*g - 3. Let k be m(5). Let i be (2\/6)\/(k\/(-12)). Which is the nearest to -1? (a) 5 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.5 and -48?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 327*t + 17*t**2 - 96*t - 3 - 254*t to the form b*t + d*t**2 + s and give b.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sum 65.74798 and -4250.\nAnswer: -4184.25202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -n + 3*v = -12, -2*n - 56*v = -53*v + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 916?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = -204 + 210. Calculate the remainder when v\/12 - 95\/(-2) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**3 - l + 3. Let g be b(0). Is 41 + (g - 2) + -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-242)\/(-429))\/((-76)\/988)?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n\/n**(7\/2))\/n**(-18) assuming n is positive.\nAnswer: n**(31\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 492207 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 168529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 13305 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: Let k(r) = -689*r + 227381. What is k(330)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.62 and -3.\nAnswer: 4.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = -4*g**3 + 11*g**2 + 4*g + 6. Let c(i) = i**3 - 2*i**2 - i - 1. Give 11*c(p) + 2*y(p).\nAnswer: 3*p**3 - 3*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -4958, -19832, -44610, -79292?\n\"Answer: -4952*d**2 - 18*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 77 minutes after 5:40 PM?\nAnswer: 6:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -0*f - 5*f + 96, -f + 22 = 2*m. Calculate the remainder when 76 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 10371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Round 36.49379838 to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q - 10 = 3*x - 33, -3*x - 19 = -4*q. Suppose j - 57 = 4*a, 4*a - 9 = q*a. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1471?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1213*t**2 - 613*t**2 - 601*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*i**2 + 442434*i.\nAnswer: 3*i*(i + 147478)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 4, b: 5, d: 3}. What is prob of picking 1 r and 3 d?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a = 25 + -74\/3. What is the closest to a in 5, -0.3, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -39*m = -10*m - 783. What is the remainder when m is divided by 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 2*b + 3. Let y be q(0). Let r = 2 - y. Let k = -7 - -2. Are k and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 25227, 25234, 25245, 25260, 25279?\n\"Answer: 2*u**2 + u + 25224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddd when three letters picked without replacement from {r: 3, d: 11}?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 71\/544 and -71\/1924774.\nAnswer: 30796384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v = -60 - -65. Suppose 2*q + 228 = v*q. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -42 - -14. Is (-106211)\/c + 1*3\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 44 by -326.\nAnswer: -22\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = -14 - -39. Suppose -q = 3*r - 43. Solve 2*i = 3*o + 3, 5*i + 0*o - 3*o = -r for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 72 and 990.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 6*t = -1750. What is t rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 3480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k be -61*4\/(-8)*4. What is the first derivative of k - 62 + 11*n - 63 wrt n?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 97908325 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 334 + 8. Suppose 3*c - d = -4*i - 87, 4*c + 185 = 3*i. Calculate the remainder when i is divided by 32.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 103313113 (base 4) to base 15.\nAnswer: 19197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) be the second derivative of 79*j**6 + 10*j**3\/3 - 19*j**2\/2 - 1797*j + 1. What is the second derivative of s(x) wrt x?\nAnswer: 28440*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -35, 3, -4, -5, 4 in decreasing order.\nAnswer: 4, 3, -4, -5, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 50337 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 5, -1, -2, 7 in descending order.\nAnswer: 7, 5, -1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-1 + 1 + 1)\/6. Let r = 76 - 83. Let j = -3 - r. Which is the third smallest value? (a) -2\/5 (b) j (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -5*v**2 - v. Let b(o) be the second derivative of 0*o**2 + 1\/12*o**4 + 0*o**3 + 4*o + 0. Calculate b(x(z)).\nAnswer: 25*z**4 + 10*z**3 + z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k = 37 - 44. Let r(x) = x**3 + 5*x**2 - 4*x + 2. Let o be r(-4). Let b = k + o. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 = 8*h - 2 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -1608*y**2 - 81*y. Let h(w) = w**2 - 3*w. Determine 135*h(q) - 5*v(q).\nAnswer: 8175*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.3 + -0.1. Let l = r + -0.1. Let p = -0.0999998 + l. What is p rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o = -o. Let n = o + 1. Let h be (n\/(-2))\/(0 + -2). Which is the third smallest value? (a) -0.4 (b) h (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -13*x + 8. Let v(c) = 25*c - 15. Let i(l) = 7*l**3 + 7*l - 8. Let b be i(1). Determine b*v(f) + 11*p(f).\nAnswer: 7*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(q) be the second derivative of q**3\/6 - 3*q**2\/2 - 4*q. Let w be v(4). Find the common denominator of 2 - w - (-11)\/2 and -107\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 14*s - 113 = -92 + 203 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p + 11. Let u(s) = -1. Give 2*a(w) - 18*u(w).\nAnswer: 2*w + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2 + -1. Suppose 0*c = 3*c - 18. Does 9 divide (c\/10)\/(g\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -15 divided by -24\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w be -32 + 30 + 5\/(-2)*-2. Let f be (-8)\/(-3*((-5)\/w - -2)). Solve f = -i - i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2 - 17*s + 18. Let o be f(16). Suppose 0 = -4*h + 5*i + 32, 0 = -31*h + 28*h + o*i + 31. What is the highest common divisor of 104 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 215*p - 339*p - 620. Which is the closest to 3\/7? (a) 16 (b) 1\/5 (c) p (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -2.7 times -894.44?\nAnswer: 2414.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q = -37.79 + 38.79. Let l = -2\/263 + -1303\/1578. Which is the closest to 2\/7? (a) -3 (b) l (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 13447171 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((t**(-5)\/(t\/t**0*t*t))\/(t\/t**(-2\/3)*t**1))**(-27) assuming t is positive.\nAnswer: t**288","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) be the third derivative of -3*h**8\/616 - h**7\/385 + 17*h**6\/660 + 7*h**5\/330 - 2*h**4\/33 - 4*h**3\/33 + 4*h**2. Determine s so that i(s) = 0.\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102 = 4*a + 78. What is the smallest value in a, 4\/17, -2\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 256150\/17 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2700)\/(-15))\/6*(-57)\/(-665).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*t + 102050 = -22*t + 51*t. What is the hundreds digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3595*i - 450 = -3550*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2.044703 hours in microseconds?\nAnswer: 7360930800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 2 + 23 = 0. Let o be 5\/2 - 5\/(-1 + -9). Suppose -o*q = -1 - 5. Solve 2*f + 3 + 4 = l, -i*f + q*l = 16 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 750253, 5, 201, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + sqrt(13) + -3 - sqrt(13)) + 4*sqrt(1300).\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-24))\/(27*(-44)\/38016)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -6 + 70. Let p = v + -64.3. Which is smaller: 13 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 154380 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: How many minutes are there between 8:31 PM and 9:22 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -i**3 + 6*i**2 + i - 3. Let g be b(6). Solve -g*h = m + 4 - 1, -m - 3 = h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -113*b + 58*b - b**2 + 55*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of 2202 and 1.499.\nAnswer: 3300.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 197 minutes after 7:16 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j(l) = -l + 1. Let w(b) = -3*b + 20. Suppose -6*f - 17*f - 39 = 16*f. Determine f*j(r) + w(r).\nAnswer: -2*r + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -62874, -62818, -62762, -62706, -62650, -62594?\nAnswer: -62538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) - sqrt(40)\/sqrt(128)) + -5*(1 + sqrt(5)).\nAnswer: -17*sqrt(5)\/4 - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h = -96 + 108. Let n be 500\/(-476) + 4\/14. Let i = n + 53\/136. What is the second smallest value in h, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 107 minutes before 11:21 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 55311464?\nAnswer: 2, 13, 531841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Solve -1938*w + 961*w - 90 = 5*j - 972*w, 2*j - 84 = 4*w for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = 3*b + 3. Let o be 9\/2 + 6\/(-4). Let s be i(o). Let g be ((-2460)\/656 - 9\/4)*(-8)\/6. Solve -4*l = -g*l + s for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8094, 17519, 26952, 36399, 45866, 55359, 64884?\nAnswer: 74447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 43, 2, 5, -774 in ascending order.\nAnswer: -774, 2, 5, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 68.6302 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 3*q - 5*q + 13 + q + 0*q. Calculate the remainder when 28 is divided by d(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 0.10122 and 4011?\nAnswer: 4010.89878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 2.6, 1\/4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 6224, 6022, 5692, 5234, 4648, 3934?\n\"Answer: -64*r**2 - 10*r + 6298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose v - 99 = -5*i - 24, -4*v = 3*i - 283. What is the highest common divisor of 56 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m - 4*g + 194, 2*m - 4*m + 4*g + 100 = 0. Let c = -30 + m. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-2*c + 3*c + 0*c)*(-3937 + 73 - 2272 + 858) as s*c + p and give s.\nAnswer: -5278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {t: 5, i: 5}. Give prob of picking 2 t and 1 i.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gggg. Give prob of sequence ggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 4.76 - -0.04. Let z = 0.84 - -4.06. Let p = z - t. What is the nearest to p in -0.4, 4, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 524*l**2 - 504*l**2 + 11*l**3 + 5*l**3 + 2*l + 20*l**3 as h + p*l**3 + g*l**2 + c*l and give p.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 22949753 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/3 in 84, -0.07, -14604?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 496320 to the nearest integer?\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(12) + 3 + sqrt(27) + -5)**2 - sqrt(33)\/(sqrt(55)\/sqrt(5)*4)*5.\nAnswer: -85*sqrt(3)\/4 + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -143\/8, 2\/7, -30053 in descending order.\nAnswer: 2\/7, -143\/8, -30053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 500 = 168*f - 164*f. Calculate the remainder when (3 - (7 + -5))*f is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that 7*r**2\/6 + 2759425*r\/6 - 1971025\/3 = 0.\nAnswer: -394205, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Round 275505.2 to the nearest 1000.\nAnswer: 276000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 2 - 4 = 0. Suppose 7*m = 3*m + v - 2920001, l*m = -2*v - 2189998. What is m rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 16832894?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 69 divide 2001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 1886b (base 14) to base 3.\nAnswer: 10011002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 4172 by 149.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.19*-313722.\nAnswer: -59607.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3320673.\nAnswer: 3, 1106891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 21*k + 195523 = 0. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 192854.\nAnswer: 2, 211, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = -3*w - 23, 2*w + 0*w - 5*u = -27. Let s be 6\/(-9) + 116\/63. Let j = s - 8\/9. Is w bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -m**2 - 17*m + 10. Calculate l(-9).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 8385.168 kilograms to micrograms.\nAnswer: 8385168000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k = 119 + -130. Is -12 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 10*d**2 - 9*d - 2. Let f(h) = 7*h**2 - 6*h - 1. Let m(v) = 7*f(v) - 5*u(v). Let p(x) be the first derivative of m(x). Is p(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 32327 + -32119. What is the highest common factor of 897 and r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(n) = 2*n**3 - 3*n**2 + 19*n - 3. Let t(k) = -k**3 + k**2 - 9*k + 1. Let l(m) = -6*h(m) - 13*t(m). Calculate l(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**3 + 83*a**2 - 286*a + 23802. Give t(83).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-722*d + 93030 - 93030)*(-d**2 - 6*d**2 - d + 11*d**2) to s + x*d**2 + r*d + v*d**3 and give v.\nAnswer: -2888","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor 22*d - 2*d**3 - 13 - 18*d**2 + 1 + 10*d**2.\nAnswer: -2*(d - 1)**2*(d + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1136991 a multiple of 451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-95)\/(-15) + -3 - 3.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 4698 and 1402805574.\nAnswer: 1566","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2334*f**5*s**3 - 11*f**4*s**3 - f**2*s**3 + 3*f**2*s**2 + 30069*f**2 wrt f.\nAnswer: 140040*f**2*s**3 - 264*f*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.5 + 0.4. Let r(w) = -w + 19. Let m be r(13). Let t be 16\/72*(-9)\/m. Which is the nearest to t? (a) q (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be -2 - (-7 - -2 - -1). Let t(j) be the second derivative of 0*j**2 + 0*j**4 + 0 + 1\/6*j**3 - 1\/20*j**5 - j. Determine t(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express ((-4*j - j + 3*j)*(-2 + 1 + 2) + j + 2*j - 2*j)*(1 + 0 - 4)*(-21*j + 14*j - 38*j) in the form h + b*j**2 + t*j and give b.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.049771808 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 6384, 3889 in decreasing order.\nAnswer: 6384, 3889, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -6\/473 and 4\/22 + (-128)\/(-22) + 6828\/(-1161).\nAnswer: 4257","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-39 - -45) + -4 + -12)\/(44\/(-198)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 130986 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 54*0.97\nAnswer: 52.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z*z*z**(-2\/9))\/z)\/(z*z**(-2))*(z**(1\/4))**(1\/53) assuming z is positive.\nAnswer: z**(3401\/1908)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -a**2 + 3*a + 7. Let b be t(5). Let n be (3 + b)\/(-2 - 0). Solve 3*m + 2 - 8 = n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 382.3 + -382. Let i = 0.25 - 5.25. Put k, 23\/4, i in increasing order.\nAnswer: i, k, 23\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -6, 4, -10, -2685, 5, -2 in descending order.\nAnswer: 5, 4, -2, -6, -10, -2685","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -7474164 (base 8) in base 10?\nAnswer: -1996916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 54*p + 177. Give h(3).\nAnswer: 339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*v - 2*v + 4*v)*(2*v + 4*v - 5*v) + (2*v**2 + 0*v**2 - 4*v**2)*(323 - 83 + 355).\nAnswer: -1188*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -4*q + 22. Let d be u(5). Let s(b) = 4*b**3 - 4*b**2 - 2*b + 3. What is the remainder when 71 is divided by s(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find y such that -2*y**5\/13 - 96*y**4\/13 - 90*y**3\/13 + 188*y**2\/13 = 0.\nAnswer: -47, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*a + 59*a + 71*a - 18*a.\nAnswer: 97*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*h + 6 = -33*h, -24*t + 56*t - 29*t + 3*h = 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n be -3 - (6 - 3)*(2 + -4). Suppose -n*a - 346 = 2*a + k, -140 = 2*a + 2*k. Calculate the remainder when 43 is divided by ((-4)\/(-18)*a)\/((-4)\/6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 2*b - 224 = 0, 2*b + 45 = t + 7*b. What are the prime factors of t?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -3, 3, 13, 27, 45?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4.022 + -0.078. Let u = c + 4. Suppose -7*x = -2*x + k, -2*x = 5*k. What is the closest to u in -0.5, -2\/9, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10001011001 + -100101?\nAnswer: -10001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 0 = 2. Let f = -39505\/8206 - 3\/746. What is the common denominator of -1 - ((-9)\/30 + r) and f?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2774 divided by -2482?\nAnswer: -19\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 40567127?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = -2*u**2 + 17*u - 11. Let b be 12 + 0 - (7 - 3). Let t be h(b). Let a(m) = -m - 2. Let s be a(t). Is s > 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 1175*w - 115166. Determine u(98).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -4 (b) 8 (c) -0.34 (d) 0.16 (e) 0.03\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -12*o + 2 + 11*o + 0*o**2 + o**3 + 0*o**2. Let h be d(2). Calculate the highest common factor of 16 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) be the first derivative of -5*o**2\/2 + 7. What are the prime factors of i(-11)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 1 p, and 1 m when three letters picked without replacement from mvpvyfcf?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*m + 5*n - 40, 5*m = m + 3*n - 68. Let t = -10 - m. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 9, -12, 5, -1 in decreasing order.\nAnswer: 9, 5, 0, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q - 5*i = -1, 0*i = -4*q - 3*i - 11. Let s(l) be the third derivative of -l**4\/6 + l**3\/6 + 5*l**2 + 3*l. What is the units digit of s(q)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 684174882?\nAnswer: 2, 3, 23, 4957789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = p**2 - 9*p + 17. Suppose 5*g - 2*c + 35 = -4*c, 4*g = 4*c. What is the tens digit of l(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be -355 + 360 + (-10)\/3 + -1. What is the nearest to a in 1, -12, -0.1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -127\/380 and -13\/12.\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from uuuuuuuuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18560\/3132 - (-4)\/54.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4146?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = -38 - -37.52. Let m = -0.18 - u. Which is the third smallest value? (a) -2\/21 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 58221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -3*z - 4. Let p(x) = 4*x + 4. Let k(r) = 3*c(r) + 2*p(r). Determine k(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3\/5*v + 228 - 3\/5*v**2 = 0. Calculate v.\nAnswer: -19, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 8753681*f**3 - 34050948*f**2 wrt f?\nAnswer: 52522086","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -j**3 - 71*j**2 + 89*j + 1068. Calculate y(-72).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 543 minutes after 1:07 AM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:45 AM and 8:01 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 5 + -5. Let u = 0.3 - x. Put 3, 0, u in decreasing order.\nAnswer: 3, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2 + 3)\/(2\/4). Let q = o + -4. What are the prime factors of 1 + 2 + 1 + q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 5+-1.43\nAnswer: 3.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 + -5 - -16) + (-1 - -1) + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2 + 4 - 5)*(-12*p**3 - 13*p**3 + 3*p**3).\nAnswer: 132*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 170200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = 9358 - 9358. Solve 3*h + q = -3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 47, 81, 89, 59, -21, -163, -379?\n\"Answer: -2*j**3 - j**2 + 51*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - (-7 + (1 - 2 - -9 - 12))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 43 - (30 - (11 + -4))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from okkkkgkkp. What is prob of picking 1 o and 1 p?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 - 262*w**2 + 3 + 521*w**2 - 260*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -50047*y. Let z(r) = -3*r**2. Calculate z(j(o)).\nAnswer: -7514106627*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (-726)\/(-242) - (-20)\/(-7)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = 3. Let v(i) = 1. Let n(x) = -s(x) + 2*v(x). Let o(b) = -b + 1. Let d(c) = n(c) + o(c). Let j(g) = -4*g. Give d(j(z)).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 733360 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 1, n: 6, y: 4}. Give prob of sequence yy.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 664.634278 to the nearest ten.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3.89 - -1.29. Let q = -0.02 - p. Round q to one decimal place.\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -83\/18462 and -43\/102.\nAnswer: 18462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(10)*1 - sqrt(20)\/sqrt(2)*-4)\/(2*sqrt(16)\/sqrt(2)).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 0 + 5 + (-1 - 1 + 1)*(-1 + 4 - 1))*(3*k + 7*k - 5*k - 4*k - 3*k + 6*k + (-3 + k + 3)*(-1 - 1 + 0)).\nAnswer: -6*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b = 0, 3*i + b - 3*b - 81 = -7*b. What is the remainder when (-2)\/(-7) + 362\/7 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 18902 + -5574. Does 16 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = n**2 - 5*n + 6. Let h be y(4). Let o be 18297\/(-27) - h\/6. Let a = 1313 + o. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 3*n**2 + 10*n + 154. Give s(19).\nAnswer: 1427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2461699 is divided by 1195.\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 3*a = 0. Suppose 3*i - 2*d + 7 = a, 3*i = 5*i + d - 7. Suppose 0 = 2*t - 2*n - 16, -t - n - 13 = -3*t. Solve -4*k = -t*k - i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k**3 + 8*k**2 - 5*k. Let r be v(7). Let y = 17 - r. Find g, given that 2*g**4 + 3*g**4 - 10*g**y + 2*g**4 - g**4 + 4*g**2 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (2\/(-4))\/(((-6)\/(-7))\/(8228\/847))\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (1 + (-21)\/12)*4. Let y(i) = -3 + 6*i + 0*i - 5*i. Let m(z) = 2*z - 5. Let w(q) = c*m(q) + 5*y(q). Let v(n) = n. Determine w(v(f)).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1*7*3)\/((-50064)\/(-42912)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 887898 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 the square root of 30087492 to the nearest integer?\nAnswer: 5485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-296)\/(-30) + 22\/165. Solve -j = 4*j - y for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -384*y + 3. Let f(c) = -11*c**2. Determine a(f(t)).\nAnswer: 4224*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = -2*t**2 + 7*t - 6. Let n(s) = -2*s**2 + 8*s - 7. Let j be ((-2)\/5)\/(11\/(-55)). Suppose j*y - 4 = 4*l, 3*l = -2*y + 6*l + 6. What is y*n(r) - 7*c(r)?\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify i*i\/i**(-15)*i**(4\/5)*i assuming i is positive.\nAnswer: i**(94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 19\/59, 2\/11, 147 in ascending order.\nAnswer: 2\/11, 19\/59, 4, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y be (6\/9)\/((-1)\/3). Let q be y + (0\/(-1) - 0). Does 11 divide 42\/(q + 7\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 8 and 72944?\nAnswer: 72944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 40 = 2*z. Is 0 > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*l - 2*l - 18*l - 2*l.\nAnswer: -26*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -257 = -4*p - 4*d + 783, 0 = -5*d + 5. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 8.75 + -0.75. What is the closest to -0.045 in 1\/4, o, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1.2 + 1.2. Let q = t + -3.4. Let y = -0.3 - -0.2. Are q and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**17\/(f\/(((f**(-5\/3)*f)\/f)\/f)))\/(f**(-2\/19)\/(f*f**14\/f*f)))**(16\/5) assuming f is positive.\nAnswer: f**(25936\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**0*g*g**(-5\/2))\/(g**1\/(g**(3\/2)\/g)))**50 assuming g is positive.\nAnswer: g**(-100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -251 - 238 = -3*m. Calculate the remainder when m is divided by 84.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2537)\/(3*(-4)\/(24\/2)). Let o(w) = 2537 + 10*w**2 - p. Let g(y) = 0 - y**2 + 0. Determine g(o(h)).\nAnswer: -100*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*t + 30 = -5*t - 2*p, 5*p = -2*t - 12. Let i(m) = -7*m + 11. Let g be i(t). Is 52 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 73\/4833 and -41\/30.\nAnswer: 48330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**5*c)\/(c\/(c*c**4)))\/(c**(-2\/3))**(2\/3) assuming c is positive.\nAnswer: c**(94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 9068780*r**4 - r**2 + 113007250*r wrt r?\nAnswer: 108825360*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t**2 - 9. Let a be o(0). Let d(w) = -w**2 - 11*w + 8. Let p be d(a). Suppose -7*q + 780 = 5*q. Calculate the highest common divisor of p and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) be the third derivative of -1\/3*v**3 + 0*v + 1\/12*v**4 + 2*v**2 + 0. List the prime factors of s(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1 - -1. Suppose -j*b = -k - 11, -3*b + 21 = 4*k - k. Calculate the least common multiple of 3 and b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g\/(g*g*g\/(g\/(g*(((g**(-9)\/g)\/g)\/g*g*g)\/g)*g*g)))**(-1\/13) assuming g is positive.\nAnswer: g**(-11\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 28*a - 45 = 23*a. Calculate the lowest common multiple of 24 and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -42, -171, -386, -687, -1074, -1547, -2106?\n\"Answer: -43*o**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 0.2 (c) -0.8 (d) 40 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1.1 - 2.1. Let g = 0.999904 + r. Round g to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21*g + 10*g = 891. Let v = g - -85. Determine a so that 35*a**v - 25*a**3 + 25*a + 108 - 45*a**2 - 42 - 56 = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3? (a) 1.2 (b) 2 (c) 0.28 (d) 2\/3 (e) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 3842 + -3816. Solve 0 = 4*n - 4*a - 32, -a = -4*n + a + f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -2 + 21 + -6 + 3. Suppose u*j = 17*j - 40. What are 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 = 284 - 126. Which is smaller: -0.2 or a?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f**2 + 14*f - 6. Let i be g(-12). Let u = i - -75. Suppose -2*p + 5*p - u = 0. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-161)\/(-203))\/(73\/2117)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 equal to 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 24592784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = -2*s**2 + 4*s + 5. Let i be l(-6). Let h = 91 + i. Solve h = 5*m + 13 + 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -975 rounded to the nearest one hundred?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(132)\/(sqrt(24)\/sqrt(2)*6).\nAnswer: sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:31 PM and 11:01 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -c - 2 + 1. Suppose 4*g + g - 9 = -m, -g + 5 = m. Put 4, c, g in increasing order.\nAnswer: c, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence da when two letters picked without replacement from {a: 2, d: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(68))*-5.\nAnswer: -10*sqrt(17) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 2048.95*2\nAnswer: 4097.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is g in 5*g**5 - 1 - g - g**5 - g**4 + 2*g**2 + 2*g**3 - 5*g**5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1320 and 960?\nAnswer: 10560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 121*x + 2898 - 8679 = -51*x + 31*x for x.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3875 - -8791. List the prime factors of o.\nAnswer: 2, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(r) = 8*r - 1. Let v be 1*1*(1 - 1). Suppose -5*i - 5*d - 15 = v, -d = 5*i + 3*d + 13. Calculate h(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -3 - 0.0806\nAnswer: -3.0806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate 225 divided by 10.\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s = -4730 + 4749. Suppose -2*w + 1 = -1. What is the greatest common factor of s and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1 - -1. Let v(y) = -y**3 - 9*y**2 - 2*y - 12. Let c be v(-9). Suppose c = 2*n - k*n. Solve n*o = -0*o - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*x + 2*x + x)*((-2*x + x - x)*(3 + 2 - 4) + 5*x + 9*x - 5*x)*(3*x - x - x + (-2 - 1 + 1)*(-x + 2*x - 3*x) - 2*x - x + x).\nAnswer: 63*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Does 51 divide 839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -48*b**3 - 278*b**2 wrt b?\nAnswer: -288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 20\/9 of a week in minutes?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -1311301123 - 0?\nAnswer: -1311301123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-1)\/(-3) - 24\/(-36). Let b be 9\/(-9)*(1 + r). Let m = -181 - -1270\/7. Sort 1\/6, b, m in increasing order.\nAnswer: b, 1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 324*n**2 + 288 - 1630*n**4 + 824*n**4 + 81*n**3 + 516*n + 812*n**4 = 0. Calculate n.\nAnswer: -8, -2, -3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -899, -1792, -2685, -3578, -4471?\n\"Answer: -893*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 4*b + 477. Let q = 825 + b. Does 39 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 7*d = 15. Suppose 0*o - d*o = 0. Suppose -4*k + 4 + 0 = o. Calculate the least common multiple of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 246 minutes before 3:26 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d be 6\/15 + (1931334\/(-5))\/(-3). Suppose -5*z - d - 321214 = 0. Let l be (-266)\/(-1 + -2 + z\/(-30000)). What is l rounded to the nearest 100000?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/(-45)*-9 + (-13)\/((-65)\/(-24))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = l**3 - 11*l**2 + 9*l + 14. Let c be x(10). Suppose -f - 176 = -c*f - o, 174 = 3*f + 3*o. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1556 = -4*w + 328. Let d = -168 - w. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -12 + 15. Let o be z\/(-21) - 128\/(-14). Let x = o + -7. Let u(q) = -q - 1. Let i(m) = m**3 + m**2 - m - 1. Give x*u(c) - 2*i(c).\nAnswer: -2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = -40*a + 292. Let j(c) = -113*c + 876. Calculate 6*j(m) - 17*s(m).\nAnswer: 2*m + 292","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate 14559*17.03.\nAnswer: 247939.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) be the first derivative of -f**4\/4 + 17*f**3\/3 + 10*f**2 - 31*f - 36. Let q = 6 + 3. What is the remainder when q is divided by l(18)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9911991 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = -q**2 - 16*q - 46. Let n be a(-12). Let y(u) = 4*u + 4*u - n + 2. Let m(d) be the first derivative of -d**2 - 3. Calculate y(m(f)).\nAnswer: -16*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k**3 + 13*k**2 + 10*k - 15. Let y be s(-12). Suppose 3 = -8*t + y*t. Solve 3 = p - u, 3*p - t*u = p + 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 2*w**3 - 6*w**2 + 2*w - 5. Is t(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-q + q + 5*q)*(q**3 - 73*q - 1 - 8*q**3 + 6*q**3).\nAnswer: -5*q**4 - 365*q**2 - 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -14? (a) -2\/9 (b) -1\/7 (c) -0.048\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-6 - -1 - (-19 + 12)) + -13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u = 12236.0064016 + -12236. Round u to five decimal places.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: -3759 divided by 47422\nAnswer: -3759\/47422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l = 78 - 542\/7. Let p(i) be the first derivative of -l*i**2 - 2\/21*i**3 - 8\/7*i + 3. Determine a, given that p(a) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 5571, 5661, 5759, 5865, 5979?\n\"Answer: 4*t**2 + 78*t + 5489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 8*w + 10. Let j be h(2). Calculate the highest common divisor of 104 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) be the first derivative of g**2 - 3054. Let r(s) = -1827*s. Calculate r(m(q)).\nAnswer: -3654*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let f = 2306\/58059 + 2789021083\/145147500. Let r = f - 3\/625. Find the common denominator of r and (1 - 0) + (-39)\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -6*c - 100. Calculate n(-15).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 518256425?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a + 0*a = 5*i - 9, 9 = -3*a + 4*i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Express z - 95 + 2*z + 3*z**2 + 49 - z + 73 as f*z + k*z**2 + m and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*y**2\/7 - 3852378*y\/7 - 7704748\/7.\nAnswer: -2*(y + 2)*(y + 1926187)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*k - 2*t = 193, -3*k + 4*t - 2214 = 21*k + 17*k - 7*k for k.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -2*t**2. Let y(c) = 3*c - 2. Let b(g) = 2*g + 1. Let q(l) = 6*b(l) - 3*y(l). Determine q(w(s)).\nAnswer: -6*s**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:48 PM and 8:31 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = 2*z - 3*c - 5, 2*c - 4 = -2*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 44166 is divided by 1299.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 13\/4 of a second in milliseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2402622823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 26961 + 398*q**2 - 21*q - 13490 - 13485 wrt q?\nAnswer: 796","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 262763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 3637941 a multiple of 420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*s**2\/7 + 351098*s\/7 + 351096\/7.\nAnswer: 2*(s + 1)*(s + 175548)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -1281 divided by 1\nAnswer: -1281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -6 + (-3 - (-13 + 4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -5546650 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 7731 and 4608.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = -14*d**2 + 2*d + 11. Let c be q(9). Let g = 1595 + c. Round g to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j + z = -105, 64 = 3*j - 5*j + 4*z. Let q = j + 41. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = 9*x**2. Let i(s) = 36*s**2 - 24*s**2 - 13*s**2. What is -f(j) - 5*i(j)?\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 31522 is divided by 179?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 0 + 3 + (-5 - 2 + 5)*(1 + 1 + 0) + 6 - 1 - 3)*(-5*t - 4*t + 7*t)*(2 + 2 - 2)*(10 - 6 + 2).\nAnswer: 72*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i = -4*r + 5, 9*i - 6*i + 34 = 5*r. Solve -j = -2*u - r, -6 = 5*j + 2*u + 5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 21d (base 14) to base 3.\nAnswer: 120112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, 0.21, -2, 165\/2, -1, -1.2 in descending order.\nAnswer: 165\/2, 0.4, 0.21, -1, -1.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -4228002 or -4228000?\nAnswer: -4228000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8 = 4*g - 0. Suppose 9 = -g*b + 5. Is -13*(b + 0 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sesesssssssesss. What is prob of sequence seee?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 0 - 1)*(2*q + 1 - q + 5*q)*(-15 + 26 + 13).\nAnswer: 144*q + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 42*m - 28 = 7*l + 43*m, 3*l + 12 = m for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-1)\/(30\/(-18)))\/(2\/10). Let c(a) = -18*a**3 + 12*a**2 - 7*a + 4. Let b be c(m). Round b to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 33680 and 16328485.\nAnswer: 2105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -107 - -133 - (0 - -31)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -62*h**6 + 2*h**4 - 1228*h**3 + 1117*h**2 - 2*h - 1 wrt h?\nAnswer: -7440*h**3 + 48*h - 7368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -r - 1. Let n(v) = -4*v + 6. Let s(y) = n(y) - 3*z(y). Let b be s(6). What is the highest common factor of 3 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*b + 194 - 35. Let z = b - 38. Let i be -5*((-12)\/z - 1). Solve 5*k + l + 23 = 0, -k - 4 = 3*l + i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 279b4309 + 0?\nAnswer: 279b4309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -35\/13068 and 19\/484.\nAnswer: 13068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 85708?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 47132.52 minus 317.9?\nAnswer: 46814.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -52*g**3 - 3*g**2 + 2*g**4 - 2*g + 29*g**3 + 25*g**3 in the form h*g**2 + o*g + k + z*g**4 + v*g**3 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 4*a - 4*a**4 + 3 - 1 + 2*a**4 as x*a**2 + b*a + j*a**4 + v*a**3 + m and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 17632711 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 2063213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let 1196*o**4\/5 - 9574*o**3\/5 + 25164*o**2\/5 - 21654*o\/5 + 108\/5 = 0. What is o?\nAnswer: 3\/598, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(j) = -2*j + 1. Let p = 173 - 167. Let r(a) = -p + 6 - 2*a + 1. Let y(z) = -2*z + 2. Let g be y(4). What is g*r(k) + 7*f(k)?\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-1 - -1)\/(-2) + -2. Let k be (-4 - -2) + -6 - t. Let m(y) = -17*y - 36. Let n(v) = 2*v + 5. Let c(a) = m(a) + 8*n(a). Give c(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 3*o - 2. Let q = -22 + 39. What is the remainder when q is divided by r(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ssffninisiisnsn. What is prob of sequence fnnn?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12472, 9920, 2990, -10508, -32764?\nAnswer: -65968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -10 - -44?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 3660 = 15*m + 3975 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 + -1 - (7 + -3 + -10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (18 - 15)*32\/(-160)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -53271 + -3318?\nAnswer: -56589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1860 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: Calculate the remainder when 129 is divided by 39.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((207\/15 - 1) + -4)*950\/760.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m - 9 + 19 = 0. Let k(j) = -4*j**2 + 4 + 1 - m. Let p(y) = 2*y**2. What is k(p(c))?\nAnswer: -16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-8 + 15 + -1)*(3 + -2). Let u(n) = 3*n - 30. What is u(h)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 77*c - 141*c - 2310 = 101*c for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 11*m - 158. Let l be z(14). Sort 5, 0, l, -224.\nAnswer: -224, l, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 780 - 0.1.\nAnswer: 779.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 2223 (base 6) to base 9\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 990 - 6b8?\nAnswer: 2b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 182203868*f**3 + 111*f**2 - 1560963.\nAnswer: 1093223208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = k**3 - 38*k**2 + 40*k - 98. Give h(37).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor 96*c**2 + 87*c**2 + 102*c + 61*c**2 - 31*c**2 - 42*c**2 + 27*c**3.\nAnswer: 3*c*(3*c + 2)*(3*c + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in -2\/5, 1409, 0.26, -4\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 66469 + 124*i**2 - 6*i - 66471 + 6*i**4 + 6*i to v*i**4 + h*i + b + l*i**3 + u*i**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3975 + 11996\/3. Let z = -68601\/23 + 2982. Calculate the common denominator of l and z.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) be the first derivative of 10*x**6\/3 - 9*x**3 + 10. Find the third derivative of a(k) wrt k.\nAnswer: 1200*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 113\/3 - 37. Let q = 19 + -32. Let r = -18 - q. What is the third smallest value in 0.3, b, r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) be the third derivative of -k**5\/20 + 4023*k**2. Let y(m) = 2*m**2 + 2*m + 89. What is y(x(i))?\nAnswer: 18*i**4 - 6*i**2 + 89","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in i - 6*i - 2*i + 551*i**2 - 8*i + 13*i.\nAnswer: 551*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1027 + -1027.411. Let o = a - -0.011. Let j = 8 + -6. What is the closest to -0.1 in j, -7\/2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 - (-10 + 25 - -4) - (-5 + 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -13110 (base 5) to base 8\nAnswer: -2006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -0.5, -0.1, -0.4, 20 in descending order.\nAnswer: 20, -0.1, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n = -0*n + 8. Let o = n - -5. Suppose 1 = -2*z + 3*f, -o*z - 2*z - 3*f + 50 = 0. List the prime factors of z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 4 + -1. Suppose 2 = x*z - y - 16, 5*z = -y + 22. Solve 0 = -5*v + z + 10 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -9\/4 - -7\/4. Suppose -12 + 4 = 4*u, 0 = l + u + 1. Let q be (13\/(-52))\/(l\/(-9)). Which is the nearest to 1? (a) t (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 282\/42*7 - 58.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 2*i**3 + 138*i**2 - 13*i + 228. Determine m(0).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 218125583?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -20*b + 6. Let l be q(-6). Suppose l + 49 = 5*p. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 165, 962, 2345, 4314, 6869?\nAnswer: 10010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 35 = -464*b + 457*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -0.79003*-0.391\nAnswer: 0.30890173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x = -13.085 - 1047.515. Let p = 956 + x. Round p to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) be the first derivative of s**4\/4 - 2*s**3\/3 - 2*s - 1. Let a(h) be the first derivative of -h**4\/4 + h**3\/3 + h - 147. Determine 2*a(o) + j(o).\nAnswer: -o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*u - 3*u - 24 = 3*j, -3*u + 18 = -2*j. Let t be (-6)\/(-4) - u\/4. Let l(b) = b + t - 2*b - 4*b + 6 - b**2. Determine l(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 - (-2 + (13 - 10)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -q**2 - 14*q + 4. Determine o(-14).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.057 + -18.243. Let a = 6.7 - s. Let n = a + -25.148. What is n rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 41, 3, 0.2.\nAnswer: 0.2, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/3 in 0.2, 9, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -544*c**2 + 375*c - 2. Calculate q(-2).\nAnswer: -2928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o*o*o**(3\/2)*o*o**(-1\/6))\/(o**(-1\/5)*o\/o**(-8)*o))\/(o*o**(1\/10)*o\/o**(1\/4)*o*(o**(2\/3))**17) assuming o is positive.\nAnswer: o**(-373\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -1140*s - 7974. Determine n(-7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 3*n**2 - 2*n - 6. Let v be c(6). Let z be ((-36)\/30)\/((-14)\/(-2905)). Let p = z + 285. What is the greatest common factor of p and v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -12 - -15. Let m(u) = -u**2 - 4*u + 9. Let g be m(-5). Suppose 3*l - 18 = 3*w, -g*w = -12 - 0. What is the remainder when l is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*d - 49*d - 424 = 0 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 278*x + 32 = -120*x + 1226. Let b(a) = -a**3 + 4*a**2 + 6*a - 5. Let r be b(5). Let n = 0 + r. Solve 3*m - p = n, -x*m - 3*p + 2*p = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1 (b) 0 (c) 9\/14 (d) -0.25 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 10630741553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*(-1*sqrt(2662) + sqrt(2662)) - ((sqrt(2662) - 2*sqrt(2662)*3 - sqrt(2662)) + sqrt(2662) - sqrt(2662)))\/((4*2*sqrt(66))\/sqrt(6)*-1))**2.\nAnswer: 1089\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1783 + 2750. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50 minutes before 10:21 PM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -58*a + 2283663 - 2284011 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 290.1916 litres?\nAnswer: 290191.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -11100 (base 2) to base 10.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -57\/5 bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 26347 (base 8) to base 9\nAnswer: 16682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 5623 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -11*k - 2. Let u(l) = l**2 - 43*l - 9. What is -2*u(m) + 9*y(m)?\nAnswer: -2*m**2 - 13*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1067 is divided by 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 57747579 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2.4 - 5.36.\nAnswer: -2.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-4)\/(-21) + 18\/126. Let d = -85\/814 - -1\/74. What is the closest to 1 in d, n, -1\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -8*w**2 + 4*w + 10. Let z(o) = -12*o**2 + 6*o + 14. Let q(p) = -8*d(p) + 5*z(p). Let i(y) = 5*y**2 - 2*y - 10. What is 3*i(f) - 4*q(f)?\nAnswer: -f**2 + 2*f + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -11*q**2 + 8*q. Let w(s) = 4*s**2 - 3*s. Let a(p) = 3*i(p) + 8*w(p). Let o(g) = -267*g**2. Determine a(o(l)).\nAnswer: -71289*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = -2 + 0 - 2 + 9*i. Let s(x) = -8*x - 10. Let y = -761 - -756. Let n(l) = -10*l - 12. Let u(r) = y*n(r) + 6*s(r). Determine u(h(p)).\nAnswer: 18*p - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is h in h**2\/4 - 81555*h = 0?\nAnswer: 0, 326220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + -3 + (((-2 + sqrt(891) + -1)*2)**2 - -5*(sqrt(891)*-1 + 3)).\nAnswer: -261*sqrt(11) + 3615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6 and (3 - 2 - 2)*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1363609 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 153425816?\nAnswer: 2, 17, 199, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:39 AM and 11:15 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let z = 16871 + -15459. What is the remainder when z is divided by 115?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 167731488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = 16*q**3 + 79*q**2 - 4*q + 10. Let r be w(-5). Solve 3*n + 9 = -j, r*n - 347 = 3*j - 376 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(n) = 9*n - 3. Let l be m(2). Let y = 8 - l. Let r be 6 - 6 - 3\/12. What is the third smallest value in y, -1\/5, r?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 122*s**2 - 478*s**2 - 112*s**2 - 39*s**2 + 129*s**2.\nAnswer: -378*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8191 + -8163. Solve t*a = 37*a + 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -2845.960975 + 2846. Let w = 0.0387 - g. What is w rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:01 AM and 12:12 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 812 and 2030?\nAnswer: 4060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -493039*a**4\/2 + 848257997*a**3\/2 + 225532755*a**2 + 39970574*a + 2361212.\nAnswer: -(a - 1721)*(79*a + 14)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = 9*x**2. Suppose -2*p - 4*z = 0, -5*z + 66 - 14 = -4*p. Let n(v) = -v - 1. What is the smallest common multiple of g(-1) and n(p)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 6 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 66\/14 - (-110)\/385?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v + 3*p - 1025 = 0, 5*p - 1281 = 5*v + p. Let r = v + 961. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9*c**4 + 18*c - 32*c - 17*c**4 wrt c.\nAnswer: -96*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3201 + 3200.6. Sort -17, 19\/4, u in increasing order.\nAnswer: -17, u, 19\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(sqrt(3) - (1*sqrt(3)*-4)**2).\nAnswer: -288 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 106, 20, 0, 2, 4 in ascending order.\nAnswer: 0, 2, 4, 20, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 1700154029?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 15520037?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 - (-5 + 1) - (6 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8\/(-6))\/(4 - (-92)\/(-24)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h be 12\/54 + 38\/(-9). Let s = 40 + -41. Put h, 5, s in decreasing order.\nAnswer: 5, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 n and 1 p when two letters picked without replacement from {w: 2, n: 1, p: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = -7*f. Let q(y) = 3*y. Let m(o) = o + 16. Let j be m(-10). Suppose -3*b - 6 = j. Let k be (-4)\/14 - 272\/28. Determine b*z(v) + k*q(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = 30*f**2 + 50. Let c(g) = -580*g**2. Determine l(c(u)).\nAnswer: 10092000*u**4 + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 12427924, 12427923, 12427922, 12427921?\n\"Answer: -s + 12427925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in sixty-one halves of a milligram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = -l**3 + 7*l**2 - 119*l + 502. Give b(4).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -19949 (base 13) in base 7?\nAnswer: -265346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 167488262218 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**35*u)**11*(u**(2\/45))**(-2\/79) assuming u is positive.\nAnswer: u**(1407776\/3555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s + 2 = -5*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -124695422 rounded to the nearest 10000?\nAnswer: -124700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1160070 - -1159944.9953. Let q = 125 + z. Round q to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 1.67, 5, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 655 - 656. What is the closest to 4 in -2, 3, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*u - n = 4*n - 55, 0 = -4*u - 4*n - 52. Let m be 1\/4 - 1389\/u. Round m to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hmjrjrl. What is prob of picking 1 m and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 2*r**3 - 19*r**2 + 21*r**2 + 46*r**4 - 3 - 44*r**4 in the form l*r + z*r**2 + b*r**4 + p + y*r**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = -3 - -14. Calculate the remainder when 41 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*m - m - 15. Let o be m\/18 + (-1)\/(-6). Suppose o = -13*d + 10*d + 15. Solve 5*j + 0 = -d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 715 and 220?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w = -63 + 120. Suppose 0 = i + 5, 3*h = 5*i - 2*i + w. Suppose -78 = -4*o + o. Calculate the remainder when o is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = 4*z + 2*k + 26, -5*k = -10. Let h be -1*(-3 - z) + 40\/12. Let j(c) = c**2 + 2*c + 1. Let l be j(-2). What is the closest to h in 2, l, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 225 - 1142?\nAnswer: -513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 5\/328588 and 3\/480244.\nAnswer: 6243172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*r = 4*i + 401, -3*r = -0*i + i - 406. Let p = 0 - 0. Suppose p = -k - 0*k + 15. Calculate the greatest common factor of k and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 132951649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from gtgtgggnrz. What is prob of sequence rzt?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 10.9 or -159778?\nAnswer: 10.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.27 - 0.17. Let i = 85.1 - 85.0002. Let k = i - y. What is k rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 31 + 51. Suppose 0 = 5*y - 3*b, 7 = 11*y - 7*y - b. Let o = q + y. Is o a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a**2 + 6*a - a + 4*a**2)*(-2 + 2 + a).\nAnswer: 2*a**3 + 5*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is next in 313, 655, 1023, 1417, 1837, 2283, 2755?\nAnswer: 3253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -1911 - 1794 - 4500 = 547*z for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 51*u**4\/8 + 3*u**3\/2 - 153*u**2\/8 - 69*u\/4 - 3 = 0. What is u?\nAnswer: -1, -4\/17, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 2063 * -24\nAnswer: -49512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -3250 + 2c?\nAnswer: -3221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Does 34 divide 33737907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 4575 + -4563. Which is the smallest value? (a) 142 (b) 3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 47\/512 and -49\/22.\nAnswer: 5632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = 9*t**3 + 57*t**2 + 63*t + 18. Let f be d(-5). Factor 36\/11*y**2 + 0 + 2\/11*y**f + 0*y.\nAnswer: 2*y**2*(y + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*sqrt(190)*-1*2)\/((sqrt(1440) - (sqrt(1440) - (sqrt(1440) - (sqrt(1440) + -3*sqrt(1440) + sqrt(1440)))))*4) + 2)**2.\nAnswer: -sqrt(19)\/2 + 275\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -q**2 - 5*q - 3. Let b be r(-3). Let n = 6 - 6. Which is bigger: n or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 730 = 76*v - 106 for v.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.019 - -0.909. Which is the nearest to 2\/3? (a) v (b) 2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0*o + 0*o + o)*(-3 + 1 + 1) - 3*o + 17*o - 2*o)*(-3 + 0 + 1)*(-2*o - 4*o + 5*o).\nAnswer: 22*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) be the first derivative of -u**2\/2 - 13*u + 1982. Let d(y) = 2*y + 25. Determine -2*d(k) - 5*z(k).\nAnswer: k + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x - 24 = x + 4*s, -4*s = 4. Suppose 5*u + 2040 = -3*j + 8*j, x*j - 1623 = u. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 312 and 5278?\nAnswer: 63336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 930588467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 983003.\nAnswer: 7, 19, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 668890195?\nAnswer: 5, 41, 3262879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s = 3*s - 10. Let i(d) = 4 + d**3 - 8*d + 0 + 16*d**s - 23*d**2. Let n(x) = 8*x - 64. Let a be n(9). Calculate i(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 5, s: 5, i: 3}. What is prob of sequence shs?\nAnswer: 25\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.2? (a) 59 (b) 0.04 (c) 50 (d) 1\/5 (e) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 22*a + 16. Let r(b) = 23*b + 13. What is 4*l(g) - 5*r(g)?\nAnswer: -27*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3\/69658595 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = -5*h**3 - h**2 + 1. Suppose 3*v - 4 = -2*v + w, -v + 3*w - 2 = 0. Calculate k(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many hours are there in thirty sevenths of a week?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 divided by -4272585.\nAnswer: 1\/1424195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: (-4*12\/120)\/(1\/(-5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 570, 574, 580, 588, 598, 610?\n\"Answer: b**2 + b + 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 7*f + 3*n + 94, 2*f + 25 = 3*n. Let p = -29 - f. Is p >= -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 18863802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/(-1 - 0) - -105. Let i be (-6)\/2 + 6*(-7 - (-40 - -2)). Let w = i - h. Calculate the greatest common divisor of 7 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(b) = b - 2. What is j(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) be the second derivative of 0*r**4 + 0*r**5 + 0 + 0*r**3 - 1\/2*r**6 + 11\/2*r**2 - 13*r. Find the first derivative of d(o) wrt o.\nAnswer: -60*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 227 - 224. Let m = 3.205 + -0.005. Let c = 3.1 - m. Which is greater: t or c?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 11 = s, -4*t - 9*s = -10*s - 38. Calculate the highest common factor of 225 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 47*g**2 + 6*g + 8. Let h be v(-2). Let k = h - -34. List the prime factors of k.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -59\/10 and 13\/110.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put together 11493155037 and -0.5362.\nAnswer: 11493155036.4638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express (46 + 13 + 119 - 8)*(3 - y**2 - 3) in the form w*y**2 + o*y + d and give w.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3443\/5169 - -1\/1723. Put 1, -9, v, 3 in increasing order.\nAnswer: -9, v, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 2*s = 106154, 3*s - 20415 - 22058 = -2*h. What are the prime factors of h?\nAnswer: 2, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.1083 + 0.2083. Let q = 0.8 - -0.2. What is the second smallest value in s, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 86\/1335 and 121\/2340.\nAnswer: 208260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q and 1 e when three letters picked without replacement from {u: 2, k: 3, a: 6, q: 4, e: 1}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - i - 156 = 0. Let w be (-3)\/(i\/(-64) + -1). Let n = -10 + w. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 132 + -84. Let q = -46 + f. Suppose -3*b + q + 16 = 0. Let v(o) = 5*o - 8. Give v(b).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 459388.\nAnswer: 2, 114847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 40044, 40053, 40068, 40089, 40116?\nAnswer: 40149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -374*t + 2211*t + 1055565 + 134*t - 1055564.\nAnswer: 1971*t + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = 4*s. Suppose -3 = 4*w - w - 4*t, s = -3*t + 9. What is the highest common divisor of w and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3, 998, -74 in ascending order.\nAnswer: -74, -4, 3, 998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -34570, -34571, -34572, -34573?\n\"Answer: -u - 34569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1448 bigger than 5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*v + 2*b - 80 + 714, -2*b = 3*v + 477. List the prime factors of v\/(-5) + 2\/(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 - -3. Let y(d) = d - 2. Let h be y(n). Let b be -2*(4\/h)\/4. Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*t**3 - 4*t**3 + 5*t**3)*(2 - 1 - 3) + (0*t - 2*t + t)*(-33*t**2 + 10*t**2 + 10*t**2).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 0.4, -4, 0.118, -9.3, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 4180549 - 20275551 = -2*u, 16094998 = 3*b - 2*u. Round b to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -495*r**3 + 2*r**2 + 346*r?\nAnswer: -2970*r + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r = -1.251 + 3.251. What is the closest to r in 22, 2\/5, 0, -2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-14*2)\/2)\/(-1). Let i(p) = 24*p**2 + 159*p + 7. Let h be i(-7). What is the greatest common divisor of d and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/1991, -99, 0.1 in ascending order.\nAnswer: -99, -1\/1991, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = -60 - -139. Suppose 0 = 5*a - z - 56. Let g(f) = 8*f - 59. What is the tens digit of g(a)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 373*a - 46172 - 72*a - 303*a - 11412 + 653.\nAnswer: -2*a - 56931","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*sqrt(170)*1)\/sqrt(10).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from srrsrtrslslsrulrtsxu. What is prob of sequence lsx?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 o and 1 f when two letters picked without replacement from rdrfldo.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/88808 and 71\/15672.\nAnswer: 266424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -1732 divided by 433?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 150651 is divided by 13672?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let -4*m**2\/5 - 14592*m\/5 - 13307904\/5 = 0. What is m?\nAnswer: -1824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = 26*r - 105. Let f = -2 + 5. Suppose x + 90009 = -4*x - f*z, 0 = r*x + 4*z + 90012. Round x to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 10, -450.\nAnswer: -450, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = o**3 - 2*o**2 - 2*o - 3. Let n be s(3). Is 84 greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8740\/11 + 796. Let l be (-8)\/44 - 65\/(-55). Which is smaller: l or h?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -11*c - 12. Let m be q(-15). Let f be m\/315 + 1\/(-5). What is the third smallest value in 0.4, -4\/3, f?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -10100000010210 (base 3) to base 8\nAnswer: -6604064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 17 (b) -3\/2 (c) 0.2 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10412 divided by -5.\nAnswer: 10412\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 603054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -9953*r - d = -9986*r - 467, 39 = -r + 5*d for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -99\/1345352 and -143\/5724.\nAnswer: 36324504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 17035 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 62504*w + 3375222. Give b(-54).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2192479266?\nAnswer: 2, 3, 6311, 57901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) be the first derivative of d**3\/3 - 5*d**2 + 11*d - 1. What are the prime factors of r(11)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -8*k**2 + 16*k + 43. Let c(h) = 6*h**2 - 21*h - 44. Let j(o) = -3*c(o) - 2*u(o). What is j(17)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -a - 8. Let n(z) = -2*z - 32. Calculate 9*d(q) - 2*n(q).\nAnswer: -5*q - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -106 = b - 2*o, 5*b + 0*b + 5*o = -500. Let q = 182 + b. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - 2 + 3)*(3*s - 8*s - 221 - 2*s + 215).\nAnswer: -21*s - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 4, -208, 160, 5 in decreasing order.\nAnswer: 160, 5, 4, 0, -208","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 175\/50388 and -25\/32.\nAnswer: 403104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4929 = 7*r - 45128. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 788442912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xxxjxjjxjx. What is prob of picking 1 x and 1 j?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 2 times 0.068?\nAnswer: 0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b = -2.172 + 2.8. Let c = 2254.61 - 2254. Let p = c - b. What is p rounded to three dps?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((335\/(-536))\/(5\/(-2)))\/(-3*(-33)\/(-90))?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3 + 3*h + 3 + 3 - 3 + 2*h + (2 + 3 - 3)*(-h + 3*h - 4*h) - 995 + 995 + 6*h.\nAnswer: 7*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -2200020 (base 3) in base 10?\nAnswer: -1950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.57 + -0.17. Sort -7, -1, r in decreasing order.\nAnswer: r, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*w - 12 = 3*w - 5*n, 4*w = 3*n - 16 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1471809519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 52900 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = 10 + -9. Let x be 151\/(-10) + -1 + w. Let p = x + 56\/5. Calculate the common denominator of 97\/12 and p.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = q. Let g(s) = -1. Let c(m) = -7*m + 1. Let y(i) = c(i) + g(i). What is y(x(v))?\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = -3*b**2 + b + 1. Let n be r(-4). Let x = n + -2. List the prime factors of (-6)\/(-15) - x\/5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*b**2 - 1247*b**3 - 1 + 615*b**3 + 607*b**3 to the form o*b**3 + g + w*b + a*b**2 and give o.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 85993 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.028? (a) -0.3 (b) -0.6 (c) -0.2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -17400401, -17400399, -17400395, -17400389, -17400381, -17400371, -17400359?\nAnswer: -17400345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 8.74 + 0.26. Let x = 13 - t. Let d be (-54)\/(-24) + -3 - (-9)\/3. Do x and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 103\/727965 and 22\/1698585.\nAnswer: 5095755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is ((-42)\/210)\/((-2)\/14)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l*l**(-11)\/l)\/l**(-4)*(l\/(l\/l**(-7\/3)))\/l**7 assuming l is positive.\nAnswer: l**(-49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3231 + -113?\nAnswer: 3112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z, 1 j, and 1 v when four letters picked without replacement from hjhzzvjjcpz?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let u = -788 - -798. Let b(y) be the third derivative of 0*y**3 + 1\/150*y**5 + u*y**2 + 0*y + 0 - 1\/60*y**4. Let b(c) = 0. Calculate c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = 5*r**3 - 2*r**2 + r. Let w(a) = 2*a**2 + 4*a - 3. Let p be w(2). Suppose -3*j + 1 = -v - 0, -5*j + p = 4*v. Determine n(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = w - 1. Let y(h) = h**4 - 2*h + 12. Let u(o) = -o - 16. Let v be u(-14). Let q(p) = v*k(p) - y(p). What is the first derivative of q(f) wrt f?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -14 in 2, -1.7, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 35\/28866 and 1\/1028422.\nAnswer: 52449522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -0.1355903 * -14\nAnswer: 1.8982642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -2*c. Suppose p + 2*i = 9, -4*i + 18 = -2*p + i. Let w(o) = 1. Let v(j) = -7*j**2 + 42. Let s(k) = p*v(k) - 42*w(k). Determine q(s(d)).\nAnswer: 14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -21363, -85467, -192311, -341895, -534219, -769283?\n\"Answer: -21370*g**2 + 6*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 y and 1 k when two letters picked without replacement from yyiyxyfxfiihiykyxx.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bkkbkjjjjjjjbjkkjkk. Give prob of sequence kj.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put together -320 and -0.01.\nAnswer: -320.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) be the second derivative of d**4\/6 + 11*d**3\/6 + 5*d**2\/2 - 2*d. Does 13 divide u(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 44446 + -22846. Is b a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/q**(-1\/6))\/q*q*q*q**4)**(-3\/13) assuming q is positive.\nAnswer: q**(-37\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n + 5*n - 432 = 0. Suppose -7*y + 9*y - n = 0. Suppose -3*x + 0*x + y = 0. Calculate the least common multiple of 30 and x.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 172, 324, 454, 562, 648, 712, 754?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-28)\/8 + 3)\/(1\/(-6)). Suppose d = v*d - 38. What are the prime factors of d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 78180.\nAnswer: 2, 3, 5, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-81)\/4 - (-9)\/(-12). Let b = -23 - v. Round b to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -2 + 10. Let c(o) = 163*o**2 + 9*o - 4. Let b be c(v). Round b to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -25\/9 and 11 - (1365\/286)\/(1503\/3459)?\nAnswer: 33066","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -2*o + 1. Let q be (2\/10)\/((-36)\/45). Which is the closest to 1? (a) -0.5 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from wwjwwwawwwwww. Give prob of picking 1 w and 1 a.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1.3 + -2.1. Let k = 1.6 - o. Let d = 0 + k. Which is the second smallest value? (a) -1 (b) d (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-49*d - 44*d + 100*d)*(-1 + 3 - 3).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 + -8.27. Let s = i - -0.3. What is the second biggest value in s, -2\/19, -1\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) = -6*x - 4. Let r be f(-18). Let u = -9 - 51. Let o = r + u. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = h - d - 3*d + 2, -3*h + d = -5. Suppose -2*f = 2*l - 4, h*f + 5*l = 6*f - 26. Factor -2\/3*t**2 + 2\/3*t**f - 2\/3*t**3 + 2\/3*t + 0.\nAnswer: 2*t*(t - 1)**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*y + 4*y - 180 = 0. What are the prime factors of y?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -4\/7, 139962, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 f and 1 c when four letters picked without replacement from chxahfxdhfx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Divide -247911954 by -6.\nAnswer: 41318659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -132 - 110. Let l = i - -2180\/9. Which is the second biggest value? (a) 0.2 (b) -3 (c) -0.03 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 9*h**3 + 5*h + 151*h**3 + 7*h**2 + 99*h**3 - 8*h**2 - 3*h to z*h**3 + g*h**2 + x + k*h and give z.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-w + 0*w - w)*((0 - w + 0)*(-3 - 2 + 3) - 2 + 4 - 3*w + 0*w).\nAnswer: 2*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2356, -2354, -2352, -2350, -2348, -2346?\nAnswer: -2344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20 = 8*i - 52. Solve p + 0*b + 5 = -i*b, 2*p - 4*b = -10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/7)\/(1738\/553)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/6199, -1, -0.2.\nAnswer: -1, -0.2, 2\/6199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 21 divide 488?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -405 divided by 27\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let z = -9 + 7. Which is the nearest to -1? (a) z (b) -0.2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {t: 1, c: 1, l: 1}. What is prob of picking 1 t and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + (-5 - -2) + (9 - 3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 13045874 + 0?\nAnswer: 13045874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 2*t**2 - t - 1. Let z be w(-1). Suppose z*v - 2*o - 3*o - 9 = 0, -4 = 4*o. Factor -2*n**4 - 2*n**3 + 2*n**3 + 2*n**2 + v*n**3 - 2*n**5.\nAnswer: -2*n**2*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 112 - 112. Let g be (d\/((-42)\/(-7)))\/(6\/(-2)). Solve g = -5*u + 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b - q = -11, -b = 3*q - 0*q - 17. Suppose 0 = -3*h + 4*h + b. Let z = h - 2. What is the biggest value in 0, z, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 317 minutes after 1:13 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 31713*s**2*x - 26*s**2*z - 450*x*z + 79550*z wrt x?\nAnswer: 31713*s**2 - 450*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 29 divide 7\/(-21) - (-536)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -51*v + 711. Give g(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*j**3 - 26*j**2 + 274547*j - 42965140.\nAnswer: 6*j**2 - 52*j + 274547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = 76*v + 1. Let w be h(-1). Let s be w\/20*(-4)\/(-1). Let c be 5\/(-3)*s\/(-5). Let r(x) = x**2 + 6*x - 6. What is r(c)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 85 + -81. What is the highest common divisor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 91e1a7 + 12?\nAnswer: 91e1b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**3 - 5*v**2 + v. Let i be z(4). Let j be (-10)\/i*(0 - -1). Let s = -1\/69 + 143\/345. What is the third smallest value in -5, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = 2*i**2 - 16*i - 15. Determine y(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 4973 divide 41095729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1498 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = 4 - 2 - 1 + m. Let n be w(3). Let j(r) = 0*r**2 - 6*r - 3*r**3 + 3*r - 2*r**2 + n*r**3. Calculate j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3.6 - -6.6. Which is the closest to 0? (a) u (b) 1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vjo when three letters picked without replacement from vojv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 35 and 42?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -19899840*z**6 - 69*z**2 - 11*z + 196?\nAnswer: -2387980800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k be (15\/4)\/(2\/8). Suppose -2*c = -4*c. Solve c = x - l, -x + 2*x + k = -4*l for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*f + 29 + 23 = -8. Which is the closest to 2? (a) f (b) -3 (c) -2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -85*t - 79*t = -166*t + 1022. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = o**2 + 1. Let h(n) = 21*n**2 + 15*n + 4. Let k(s) = h(s) - 4*j(s). Let g(r) = 4*r**2 + 4*r. Give -9*g(z) + 2*k(z).\nAnswer: -2*z**2 - 6*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u - 2*r - 2, 2*u - 4*r = -0*r + 24. Let v(c) = 2*c**3 + 162*c**2 + 151*c - 736. Let k be v(-80). Sort k, u, -4 in ascending order.\nAnswer: k, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 4*-2*sqrt(100)\/sqrt(2)*6.\nAnswer: -240*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00065485 rounded to five dps?\nAnswer: 0.00065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -310342, -620679, -931016, -1241353?\n\"Answer: -310337*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1370097.\nAnswer: 3, 41, 47, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(3) + 0 - sqrt(3) - (sqrt(3) - (-1 + sqrt(3)))*5 - (1 + (sqrt(60)\/(sqrt(4)*4 - sqrt(4)))\/sqrt(5))**2)*-3.\nAnswer: 2*sqrt(3) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = -4*x + 4, 0 = -3*x + 2*r + 2 - 0. Let c be -1 + (5 - (x - -2)). Let w be (-2 + 4)*4 - (1 - 4). Solve 13 = -c*l + 3*f, -w = 3*l - 4*f + 8*f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1076)\/(-1883))\/((-15)\/(-42)*4).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 220*g + 5164. Let x be w(-22). Calculate the greatest common factor of 432 and x.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -725*y**3 + 7907*y**3 - 5574*y - 879*y - 5905*y wrt y.\nAnswer: 43092*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 138099.\nAnswer: 3, 13, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 3150 and 405090?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 11857, 2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3*(123409\/13)\/11?\nAnswer: 3, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 - (2 - -2) - -3 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 13*(-54)\/(-702)*-2*1\/54.\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide 4249518 by 602.\nAnswer: 7059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p = 558 - 383. What are the prime factors of p?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*-5*sqrt(80) + (-2 + (-3 + sqrt(5)*-1 - sqrt(5)))**2.\nAnswer: 45 + 100*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -8*r**3 + 2*r - 5. Let q(x) = 31*x**3 - 9*x + 21. Let g(t) = 2*q(t) + 9*v(t). What is the first derivative of g(k) wrt k?\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1001101001110111110011 - 101?\nAnswer: -1001101001110111111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -12*((-10344)\/(-648) + -16)\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 101518197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in 297, 532, 767, 1002, 1237, 1472?\nAnswer: 1707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*m + 5399 = -1522. What is the hundreds digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1495709 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = -17 - 7. Calculate the common denominator of -65\/18 and (-212)\/42*(-14)\/u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 2, l: 5, t: 6}. What is prob of sequence lll?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2ce447b - 5?\nAnswer: -2ce4480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (a**2 - a**2 - a**3)*(21*a**2 + 26*a**2 + 20*a**2) + (a**2 - a**2 + 5*a**2)*(-a**3 + 2*a**3 + 7*a**3).\nAnswer: -27*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify b**(-4\/9)\/b*b**25*b*b**(1\/30)*b**(-3\/25) assuming b is positive.\nAnswer: b**(11011\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g - 104 = 499. Suppose -3*w + 3*j = 7*j - g, -j + 66 = w. Calculate the highest common factor of w and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4 + 9 + -5 - -2 - (-189 - -143)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 666, 661, 652, 639?\n\"Answer: -2*d**2 + d + 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1085415843 to the power of 1\/2, to the nearest integer?\nAnswer: 32946","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*a**3 + 2*a**3 - 4*a**3 + (2*a + 2*a - 3*a)*(-1 + 1 - a**2))*(0 - 5 + 2).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 15330245 to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let -3*s**2\/7 - 1228173*s + 8597214\/7 = 0. Calculate s.\nAnswer: -2865738, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -521231*z + 138604.\nAnswer: -521231","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 1299*r + 4595*r = 2021*r - 2609*r - 667646 for r.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d + 1 = 8*j - 3*j, -d - 9 = -5*j. Let o = 1 + 1. Differentiate -2*b**4 + o*b**4 + 4*b**4 - j - 2*b**4 wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 19655*m**2 - 1694*m + 2?\nAnswer: 39310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is j in -2*j**3\/13 + 8*j**2 - 294*j\/13 = 0?\nAnswer: 0, 3, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 19 divide 7195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = -j**3 + 32*j**2 + 155*j - 386. Calculate the remainder when 191 is divided by m(36).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 38362 times -0.5\nAnswer: -19181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*i + 489 = 5*r, 2*r - 99 = 2*i - 321. Find the third derivative of 15*n**3 - 108*n**2 + 213*n**2 - i*n**2 wrt n.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 898 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*h**4 - 1890*h**3 + 97744*h**2 - 71766*h - 24080 = 0. What is h?\nAnswer: -280, -1\/4, 1, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 0.377 less than -4?\nAnswer: -4.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes after 11:32 PM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*c**5\/19 - 1420*c**4\/19 + 16718*c**3\/19 + 23828*c**2\/19 - 66904*c\/19 - 72592\/19 = 0.\nAnswer: -2, -1, 2, 13, 698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 739 a factor of 1093430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-72)\/120)\/((-1108)\/(-370) - 3). Suppose 2*a + 99 + 271 = 5*z, -5*a = 0. Calculate the greatest common factor of t and z.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 18238397 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11)\/((-968)\/(-8)) - 142\/11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f*f\/(f\/(f*f**6*f*f))*f**(3\/7)\/f*f**(-6)*f\/f**6)\/((f**(-2\/7))**(-41)*f**(2\/15)\/(f**(-1\/3)*f)) assuming f is positive.\nAnswer: f**(-1339\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0123691 nanometers in millimeters?\nAnswer: 0.0000000123691","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand z**3 - 2*z + 2*z + (-8*z - 31*z - 2*z)*(5*z**2 - 3*z**2 - 3*z**2).\nAnswer: 42*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 86930.\nAnswer: 2, 5, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 2*g. Let l(p) = -9*p. Let x(d) = 539*d. Let i(z) = 242*l(z) + 4*x(z). Calculate j(i(m)).\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (g*g**(3\/4)\/g)**(-3\/31) assuming g is positive.\nAnswer: g**(-9\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = -60*o - 1615. Calculate h(-27).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 94 a factor of 1394490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify k\/(((((k**(2\/21)*k)\/k)\/k)\/k)\/k)*(k\/(k*k*(k\/((k*k\/k**(1\/18))\/k)*k)\/k*k))\/k assuming k is positive.\nAnswer: k**(107\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 4.57, 0.\nAnswer: -5, 0, 4.57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = 0.1508 - 0.0508. Let q be (8\/42)\/(4\/(-6)). What is the nearest to l in 2\/5, q, 3\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.23 + -0.07. Let j be 45\/(-12) - (6 + -10). Sort j, 0.2, g in ascending order.\nAnswer: g, 0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (5 + -1*2)\/(7\/(-9870)*-18). Solve z*r = 227*r - 16 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 36119310?\nAnswer: 2, 3, 5, 223, 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = u**2 - 3*u + 3. Let q be b(3). Suppose -4*c**3 + 24*c**4 - 26*c**2 - 4*c + 5*c**q + 5*c**5 + 8 + 4*c**5 = 0. Calculate c.\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: (-13)\/((-65)\/(-6))*1600\/3360\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*t + 2*z - 18 = -2*t, 21*z - 31 = 4*t + 16*z for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sum -113 and -30.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 2494 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 955977?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25 + -17 + (-10 - -22) + -8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.78 * 9947307\nAnswer: -7758899.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18957 divided by -2884.\nAnswer: -18957\/2884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.5, 713\/4, 1\/6, 2\/15, -0.05?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -5*g**3*t**3*v**3 + 2*g**3*t**3*v**2 + g**3*t**3*v - 1613*g**3*t**2*v**3 + 131*g*t**3*v**2 + 2*t**3*v + t**3 wrt v?\nAnswer: -30*g**3*t**3 - 9678*g**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -11806, -20210, -25216, -26830, -25058, -19906, -11380?\nAnswer: 514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u + 23. Let s be a(8). Is s at most 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5299*l + 59 = -5308*l + 5*q - 10, 3*q - 71 = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*f = -d + 13 - 18, 13 = 4*d + 3*f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 18 = k + 4*a, -4*a = -2*k - 6. Solve 0 = -0*b + k*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, g: 3, m: 3, z: 4, c: 2, s: 3}. Give prob of sequence zs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2 - 1121?\nAnswer: -1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jjsjhsr. Give prob of sequence sj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-5)\/15)\/((-2)\/12). Solve -5 = -5*p + 2*u, d*p + 4*u = -36 + 14 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2019773709.\nAnswer: 3, 73, 83, 37039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is next in -147040, -147059, -147062, -147043, -146996, -146915, -146794, -146627?\nAnswer: -146408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*z**4 + 110*z**3 - 115*z**2.\nAnswer: 5*z**2*(z - 1)*(z + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1\/(-2) + 12\/8. Let h be 38 - i*(1 + -3). Suppose 3*c - 23 = h. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1 + 3)*324\/(-8). Let m = q + 75. Which is greater: m or -10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) = -m**3 - 4*m**2 + m - 5. Let z be s(-5). Let i be (-2)\/(14\/z) - 0\/1. Is i less than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = w**2 - 11*w + 10. Suppose 0 = 4*o - d + 14 - 66, -d - 4 = 0. Calculate the remainder when -2 + 1 + (71 - (3 + 3)) is divided by g(o).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1142 - 3231 + 636 - 2390)*(3*n - 2*n + n)*(-3 + 1 - 5).\nAnswer: 53802*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*s**2 + 18*s**2 + 10*s**2 - 4*s**2 + 12*s**2.\nAnswer: 42*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -547*j + 103 = -576*j - 42 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 3231 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o = -156 + 176. Let y be (23 + -2 + 4)*2. Calculate the highest common divisor of o and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -z**3 - z**2 - z. Let y(j) = -24*j**3 - 5*j**2 - 5*j. What is -5*p(s) + y(s)?\nAnswer: -19*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*o + 3 + 13. Let g = -126 + 25. Let y = 111 + g. Solve c = -o*m - 4*c - 9, 0 = -2*c - y for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -f**3*p**4 - 2*f**3*p**2 - 3*f**3*p - 62504540*f*p**5 - 280159*f*p**2 - 3*f wrt p.\nAnswer: -24*f**3*p - 3750272400*f*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -298 + 299. Which is the closest to -4? (a) 0.9 (b) -5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 906954212?\nAnswer: 2, 37, 6128069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-51)\/(-12) + (-3)\/12. Let v = -6 - -8. Solve -r*n - 10 = -v for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 13 and -0.97?\nAnswer: -12.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = z**3 - 6*z**2 - 5*z - 1. Let x be k(7). Solve -4*f - 7 = x for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.0727*-0.1\nAnswer: 0.00727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0002542085 to 7 dps.\nAnswer: -0.0002542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Subtract 128402213.69158 from 0.2.\nAnswer: -128402213.49158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 311272490 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) be the third derivative of p**6\/120 + 4*p**3\/3 + 5160*p**2. Let s = 8 + -11. Let b(o) = -1. Determine s*c(i) - 24*b(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-63)\/(-36))\/((-70)\/(-260))*(-8)\/(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -1212*g**3 - 13 - 2*g**2 - g + 486*g**3 + 738*g**3 - g**2 - 12 in the form u*g**3 + q*g**2 + w + h*g and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is -1304302 (base 6) in base 11?\nAnswer: -49348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 449.9829 weeks to nanoseconds.\nAnswer: 272149657920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence obb when three letters picked without replacement from brdroxxxodxccxxxxbr?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -0.5 + 325.1647229\nAnswer: 324.6647229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(675) + 2*sqrt(675) + sqrt(189)\/(2*sqrt(7)))**2.\nAnswer: 25947\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(t) = 11*t**3 - 90*t**2 - 1360*t - 10. Calculate i(-8).\nAnswer: -522","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = 261*o**2 + 5478*o - 47. Determine x(-21).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p = 7201 - 6465. What is the highest common factor of p and 1748?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -26 + 29. Let j = -7 - -10. Suppose 8 = -2*s - h + 3*h, -s + j*h = 12. Solve s*b = -b + q for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7*n**3 - n**2 + 9*n**2 + 17*n**3 + 5*n + 8 - 10*n**2 as d*n**3 + h + y*n**2 + o*n and give h.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Solve 575 = 208*p - 399*p + 214*p for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 95.98923 centuries to months.\nAnswer: 115187.076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*j - 57 + 62, 0 = -3*m + 5*j - 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*n + 17291 - 119275. What is the thousands digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the first derivative of 0*s - 6 + 17\/2*s**2 + 4\/3*s**3. What is the second derivative of b(c) wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3545301?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bv when two letters picked without replacement from {o: 1, k: 1, v: 1, x: 1, b: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6*(2\/(-8))\/((-17)\/34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*t - 137 = 25 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 - 3 = -2*r + 5*f, 3*r = -2*f - 2. Let t(g) be the first derivative of 7*g**2\/2 + 11*g + 28. Let h be t(-2). Put r, h, 0 in ascending order.\nAnswer: h, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 99334096?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 564 = 2*s - 4*z, -536 = -2*s + z - 4*z. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 2*b**2\/9 - 12556*b\/9 - 358150 = 0. Calculate b.\nAnswer: -247, 6525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 22759407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zzzz when four letters picked without replacement from {z: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1381 - -359?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 27*j - 360 = 21*j + 96*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -17*z + 12*z + 10 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3358367?\nAnswer: 17, 197551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 726 and 4725996.\nAnswer: 51985956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) be the third derivative of 253*h**9\/252 - 23*h**5\/4 - 5*h**4\/24 - 11*h**2 + 334*h. Find the third derivative of t(p) wrt p.\nAnswer: 60720*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2*1*(-123)\/82?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-4*j - j**3 + 4*j + (-8*j - 154 + 154)*(j + 4*j**2 - j))*(-3 + 3 - 4) to the form q*j**2 + r*j + g*j**3 + m and give g.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from gjgogjggyjgggogggjgy. Give prob of picking 2 o and 2 g.\nAnswer: 22\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 725*p - 8114 = 24511 for p.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5080.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide -54*3*(-21)\/63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2292 = -3*z - 3*r, 0 = -2*z - r + 1731 - 201. What are the prime factors of z?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -p + 5336, -4*p - 12542 + 33952 = -3*g. Does 14 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -110224*w**3\/7 - 55610*w**2\/7 + 7900*w\/7 - 250\/7.\nAnswer: -2*(8*w + 5)*(83*w - 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} {"text":"Question: Let s = 210 + -210. Which is the second biggest value? (a) 4 (b) -0.22 (c) 1\/4 (d) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2672*h**3 - 3284*h**3 - 1208*h**3 + 4618*h**3 + (-7 + 3 + 1)*(h**3 - 2*h**3 + 2*h**3).\nAnswer: -2549*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3 + 4.07. Let g = -1.1 + i. Let y = g - -3.03. Is y greater than -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 2 - 3. Let k be 4\/(-32)*2 + (-788)\/(-208). Let v = 723\/208 - k. Is v greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 8 + -4. Suppose 0 = 40*z - 30*z - 90. Solve 7*t + z = j*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -2 - -14a3?\nAnswer: 14a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 288*q - 2213 - 5892 = -60*q + 6163 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -144*u - 1732. Calculate j(-11).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 314*u - 8619 - 6969 + 2484 = 818*u for u.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -10 + 42656488\nAnswer: 42656478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Divide -26905811 by 3.\nAnswer: -26905811\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = s + 9. Let x(i) = 6*i. Give w(x(a)).\nAnswer: 6*a + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z be (3 - (-30)\/(-12))\/((-1)\/(-162)). Let v be 2\/9 + (-18)\/z. Let p = 6 + 1. Solve -4*a + 2*s - 2 = v, 5 = -4*s - p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -193*t**3 + 120*t**3 - 209*t**3 - 330*t**3.\nAnswer: -612*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -2\/2591 + -75119\/25910. What is the common denominator of w and 11\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = 3*v - 5*w - 6, -2*v - w + 15 = 0. Let a(j) be the first derivative of -9*j + 10 - v + 1 - j**3 + 3. Differentiate a(k) wrt k.\nAnswer: -6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.010736 rounded to 4 decimal places?\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) be the second derivative of 0 + 3\/4*f**4 - 32*f + 11\/2*f**2 - 1\/20*f**5 - 5\/3*f**3. Determine g(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 23? (a) -4 (b) -3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -1 (base 6) in base 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 1. Let h = -1134 - -1137. Let d(a) = 8*a - 4. Determine h*c(j) + d(j).\nAnswer: 8*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let i = 18575.6 + -18576. Suppose 3*w + 10 = 5*x, -5*w + 3 = 3*x - 3. Let h be -5 + (-3)\/((-6)\/x). Which is the biggest value? (a) h (b) -2\/7 (c) i (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -471561, -471602, -471643, -471684, -471725?\nAnswer: -471766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 611 + -606. Let b(n) = n + 1. Let i(m) = -5. Determine q*b(s) + i(s).\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 10081482?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 1723439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 5 + 1)*(-2*j - 147*j**4 + 148*j**4 - 5 - 11*j**5 + 10*j**5).\nAnswer: j**5 - j**4 + 2*j + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pjt when three letters picked without replacement from pylyllllpjlllyttttly.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 44.69174 decades to millennia.\nAnswer: 0.4469174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 42, 1\/2, -0.1, 1\/5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -f + 1 - f - 3 - 5.\nAnswer: -2*f - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes after 2:07 AM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 445037?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 35*y - 1292668 = -1292493 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 15 + -2 + 0 - (109 + -48 + -73)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 1115*v**3 - 3*v**2 - 2*v + 3. Let h be a(1). Calculate the greatest common factor of 21 and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -463 + 469. Suppose -q - 3*i = -3 + w, 0 = -3*q - 5*i - 5. Solve -6*f - 6*f + 24 = q for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (3\/2)\/(3\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-310)\/(-77) + 16\/(-4))*959\/274.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.285988ml to litres.\nAnswer: 0.008285988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be 54\/13 + 14\/(-91). Suppose u*w = 122 + 118. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 29*w - 7*w - 54612 = -19*w. What are the prime factors of w?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) be the third derivative of -p**8\/20160 - p**7\/420 + p**6\/40 + p**5\/60 + 21*p**4\/8 - 42*p**2. Let z(c) be the third derivative of u(c). Give z(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 4257 and 58707?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = 19*m**2 + 11*m + 25. Is o(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = 2*n - 0*n. Is 2\/(n\/9)*-226 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -22 - -38. Let u = 2173 + -2172. What is the highest common divisor of u and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -13916 from -2745533.\nAnswer: -2731617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v = 105 - 78. Let i = v + -48. What is the third biggest value in -4\/3, -4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -655 bigger than -656?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-26)\/(-5))\/((-6)\/(-285)*19).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((6\/(-2))\/(-3))\/(10\/(-2)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - (28 + -13 - 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 2*v**2\/7 + 9404*v\/7 + 602810\/7 = 0. What is v?\nAnswer: -4637, -65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - z = -7, 0*z - 5*z = -5*s + 5. Let l = s + 5. Suppose 5*m + 0*m - 38 = l*f, -3*m - 5*f = -16. Solve -m*p = -3*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ttffgpfgtbgfgf. What is prob of picking 1 b, 2 g, and 1 p?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Convert 113331123 (base 4) to base 12.\nAnswer: 48963","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3*(140\/21)\/(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5, -11, 24?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19847867?\nAnswer: 13, 117443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = z + 3*o - 11, 7 = -3*z + 5*o. Suppose -18 = -3*p - z. Find the second derivative of -4*r**2 - p*r + 63 - 63 wrt r.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3045 a multiple of 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -33168307*g**3*h - 2*g**3 - 9055752*g**2 with respect to h.\nAnswer: -33168307*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 3145, 3146, 3147?\n\"Answer: n + 3144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 = -3*a - b, a - b - 3 = 3. Let k = a + -2. Suppose -r - u + 3 = 0, -u = 4*r - 10 - k. Solve -r*m + 9 + 6 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0 + 4. Let l(h) be the third derivative of h**4\/12 - h**3\/6 - 5*h**2. Let y be l(2). Is y != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) be the third derivative of -i**4\/6 - i**2. Let s(j) = 7*j. Let a(n) = -3*s(n) - 5*w(n). Let m(v) = 168236 + 2*v - 168236. What is -4*a(l) - m(l)?\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 1948 divided by 1948?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = 173.08 - 17.28. What is x rounded to 0 decimal places?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 497.7662 decades?\nAnswer: 49.77662","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w(d) be the first derivative of d**5\/20 + 7*d**4\/12 + d**3\/2 - 100*d - 88. Let o(a) be the first derivative of w(a). Give o(-7).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(1053) - (sqrt(1053) + -2)**2) - (-5*(sqrt(52)\/sqrt(4))**2 - ((sqrt(130) + -1*sqrt(130) + sqrt(130))\/sqrt(10))**2))*-4*-2.\nAnswer: -1080*sqrt(13) + 25992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**(-3))**25)**(-43) assuming r is positive.\nAnswer: r**3225","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 104210 - 104210 - 1633*g**2 + 4601*g**2.\nAnswer: 2968*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Total of 0.04848696 and -0.4.\nAnswer: -0.35151304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p + 802456 = 2*m, -306*p + 307*p = 4*m - 1604966. What is m rounded to the nearest ten thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1170996252?\nAnswer: 2, 3, 67, 359, 4057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h + 34 = -14. Suppose 0 = -r + 4*b + h, r - 5*b - 33 = -r. Calculate the smallest common multiple of 5 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j**5 + 173*j**4 - 7425*j**3 + 71275*j**2 - 245500*j + 262500 = 0. Calculate j.\nAnswer: -210, 2, 5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/13? (a) -3 (b) -1\/2 (c) -1\/15 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 30240?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -638 or -639?\nAnswer: -638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 12) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -a**3 + 6*a**2 + 5*a - 4. Let h be n(6). Let z be 28\/5*(-1950)\/(-60). What is the highest common factor of z and h?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 16485, 16462, 16439, 16416, 16393, 16370?\n\"Answer: -23*j + 16508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Does 626 divide 9826864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) be the second derivative of -t**7\/105 - t**6\/30 + t**4\/6 + t**3\/3 - t**2 - 3*t. Let n(j) be the first derivative of y(j). Factor n(k).\nAnswer: -2*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -389, -1547, -3477, -6179, -9653, -13899, -18917?\nAnswer: -24707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -77.209559 rounded to the nearest integer?\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 244346, 488681, 733006, 977315, 1221602, 1465861, 1710086?\n\"Answer: -c**3 + c**2 + 244339*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.159828 - 0.14453. What is y rounded to four dps?\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 656 + -656.1. Let v = 25\/84 + 1\/28. Which is the nearest to v? (a) -3 (b) -2\/3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -92.78*24992.\nAnswer: -2318757.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + c - 6*c = -12, -5*r + 4 = -3*c. Suppose 0*g + r*p = g, 0 = -g + 3*p + 4. Let j(w) = -w - 1. Is 4 a factor of j(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -4*d**4 + 316*d**3 - 2192*d**2 - 5680*d = 0. What is d?\nAnswer: -2, 0, 10, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 76 minutes after 11:20 PM?\nAnswer: 12:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -17*m**4 + 9*m**2 + 52*m**3 - 7*m**4 + 22*m - 57*m**2 - 6*m + 4*m**5 = 0 for m.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3\/7, 3, 1.1, -65, -185 in increasing order.\nAnswer: -185, -65, 3\/7, 1.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 11161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -792 divided by 12?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 15 and 161925?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 31 - 41*f - 13*f**3 + 12*f**3 + 13*f - 16*f**2 + 2*f. Determine j(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (3\/(-2))\/((-6)\/12). Let d = 1596 - 4784\/3. What is the nearest to 7 in -4, d, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*v = 45*v - 24. Suppose 3*c - s = -v*s - 17, -c + 3*s = 1. Let i(a) = a**2 - 5*a - 13. Calculate the remainder when i(c) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 61049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*y**2 + 7*y**2 + 6*y**2)*(-9*y**3 - 3*y**3 + 5*y**3) + 2*y**5 - 5*y**5 + 4*y**5.\nAnswer: -55*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -2561*j**3*y + 445761*j**3 + j**2*y - 7*j**2 - 48*j*y - 2*y wrt y.\nAnswer: -2561*j**3 + j**2 - 48*j - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -3832990 or 42?\nAnswer: -3832990","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = a + 24. What are the prime factors of l(-13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 114 + -94. Which is bigger: d or 41\/2?\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -5155.6 * 30\nAnswer: -154668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 26\/13*(-16)\/12.\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -45078, -66861, -88644, -110427?\nAnswer: -132210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 6*w - 10*w**3 + 4*w**5 - 2*w + 2*w**3.\nAnswer: 4*w*(w - 1)**2*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 636*b**3 + 364*b**3 + 26*b**3 + 22*b**3.\nAnswer: 1048*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = 10798 + -10797.9. Which is the second biggest value? (a) 0.4 (b) -0.4 (c) q (d) 0.08 (e) 29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -3*g**3 - 12*g**2 + 24*g + 10. Is 9 a factor of o(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (1*-4 + 1)*(-14)\/(-56)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7 + 15 + -18 + (-10 - (2 + -1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 3 - -2a6744?\nAnswer: 2a6747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = c**2 + c + 1. Let z = -351 + 345. Let q(b) = -6*b - 6. Give z*m(j) - q(j).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 397302*b*f*i + 3*b*f + 30465*f with respect to i.\nAnswer: 397302*b*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1 + (-1 - 6) + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -107\/39197502 and -11\/9.\nAnswer: 39197502","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.032227 or -5?\nAnswer: 0.032227","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-1))**37*(b*b*b*b\/((b**12*b)\/b)*b*b)\/b*b*b**(-7) assuming b is positive.\nAnswer: b**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 1295 and 2615.\nAnswer: 677285","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -25326316 divided by -361\nAnswer: 70156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = 8*n + 14. Let l be d(7). What is the greatest common divisor of l and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.09 + 0.09. Let o be 1\/((12\/8)\/((-1368)\/20)). Let k = -46 - o. Which is the nearest to -1? (a) -1 (b) k (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = -26 - 19. Suppose 0 = -5*v + 5*k + 40, 2*v + 8 = -k + 9. Suppose 0 = v*l - b + 6. Solve 4*z - l = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 1713*n + 85644. What is b(-50)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -4 in 29\/2, 5, 2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wf when two letters picked without replacement from kxkxfxxkkkw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40 + 21 = 5*o + t, -3*o - 4*t = -40. Calculate the remainder when 41 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*j**5 - 218*j**4 - 4440*j**3 + 10720*j**2 + 245632*j + 580608 = 0 for j.\nAnswer: -81, -28, -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x*(x**(1\/4)\/x)\/x*x)\/(x\/x**(5\/2)))**50\/((x**(-3\/10)*x*x**(1\/3))\/(x\/((x**(-1\/2)*x)\/x))**(-12\/5)) assuming x is positive.\nAnswer: x**(1243\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -r + 3*u + 16 - 67 = 0, 5*u = 2*r + 100. Let q(a) = -13*a. Let p be q(3). Let h = p - r. Calculate the highest common factor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -113 in -3.6, -1, 5\/2, 0.078?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/6 of a day in hours?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*x = 2*x + 16. Suppose -3*d = -4*f + d - x, -5*f = -2*d + 14. Let r be (-50)\/f + 5\/(-10). What is the highest common factor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(v) = -v - 8. What is j(9)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*b + 15*r - 20*r = -25, 25 = 3*b - 5*r. Suppose -7*y + b*y = 4*n - 309, 2*y - 2 = 0. Calculate the remainder when n is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 119.149 - 342.266. Let y = 223 + t. What is y rounded to 2 dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*((3 + sqrt(320) + 5)**2 - (3*sqrt(320) + -3 + sqrt(320)))*-4.\nAnswer: 1536*sqrt(5) + 6192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = -9\/7 + 108\/35. Let q(j) = j**2 - 10*j - 10. Let n be q(11). Is n greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 10 (base 6) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 0.5, 0.3, 13, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -88727, -88143, -87167, -85799, -84039, -81887?\nAnswer: -79343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k = -2*k + 32. Calculate the lowest common multiple of k and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -5, 1, 248, 1299, -4 in decreasing order.\nAnswer: 1299, 248, 5, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 4233218*n**3 - 10295558.\nAnswer: 12699654*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 188, 387, 624, 911, 1260, 1683, 2192, 2799?\nAnswer: 3516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -0.20953 and -0.08?\nAnswer: 0.12953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) be the first derivative of 2*y**3\/3 - 31*y**2\/2 + 35*y - 89. Find the first derivative of h(m) wrt m.\nAnswer: 4*m - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(7344) + sqrt(7344)*1 - sqrt(102)\/sqrt(2)*-4)\/((sqrt(192) - 2*sqrt(192)*-6)*-3))**2*-5.\nAnswer: -4165\/6084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -8*i*n**3*q + 27*i*n**3 + 1255*i*q**3 + n**3*q**3 - n*q**2 wrt q.\nAnswer: 7530*i + 6*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -2330 (base 8) in base 2?\nAnswer: -10011011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 313 + -515. Let w = -198 - c. Solve 12 - 12 = w*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes after 4:48 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -30 + (2 - -20) + (-2 - -43).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (f**3 - f**3 + 2*f**3)*(-5*f**2 + 0*f**2 + 3*f**2 + (-1 - 1 + 0)*(-2*f**2 + 0*f + 0*f) - 497*f**2 - 253*f**2 + 988*f**2).\nAnswer: 480*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(l) = -l**2 - 8*l + 7. Let t(j) = 13*j - 7*j + 1 - 2*j - 5*j. Let v = -38 - -17. Let o(u) = v*t(u) + 3*p(u). Solve o(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1845461.\nAnswer: 31, 59, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + w + q + 148 = 0, 0 = 3*w + 2*q - 163. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (u + u - 3*u)*(4 - 1 - 6)*(-3*u + 3*u + u) to the form w*u + o*u**2 + q and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 5587331979 to the nearest integer?\nAnswer: 1774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 112 + 174?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1133 (base 4) in base 13?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = 25 - 21. Suppose 0 = -p*d + 30 - 6. Let j(l) = -2*l**2 + 4*l + 11. Let a(t) = t**2 - 2*t - 6. Determine d*j(x) + 11*a(x).\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -7*n**2 + 5*n - 6. Calculate x(-4).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1220 and 93640?\nAnswer: 5712040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -1062*q - 15842 - 11770 = 0 for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 - o**2 + 4)*(2*o**2 + 0*o**2 - 3*o**2)*(-2 + 4*o + 47*o + 11*o).\nAnswer: 62*o**5 - 2*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k + 6 = -14. Suppose -5*i = -i. Suppose -4*t = -i*t - 200. Calculate the highest common divisor of k and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -44*c**2 - 553*c + 553*c. Let q(u) be the third derivative of -u**4\/12 + 7*u**2. Determine q(t(f)).\nAnswer: 88*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is -20 bigger than 91227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d be 1394\/85*(-35 + 0). Let g = d + 594. Solve 3*c - 7*c = g for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.75 and 10.\nAnswer: 10.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -298545*p**4 - 224409*p**2.\nAnswer: -7165080*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 1906 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -3 + 2b?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {z: 2, a: 4, c: 4}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 107.09 (c) 0 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 2*t. Let w(p) = -8*p - 29. Let m be w(-4). Let n(a) = 3*a + m*a - a - 3*a. Calculate n(r(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 14 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*f + 9 = 2*x + x, 0 = -x - 3*f + 3. Suppose 5*b + 25 = 0, 5*q - 96 = -x*b + 29. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -137*h - 13282 = -1189*h + 13275 + 795 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.6 - -1.2. Let a = p + 0.2. Let u = -1 + -1. Is u at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.100721 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 529447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48 and 41104?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 8.559743 to two decimal places.\nAnswer: 8.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 581.9481 kilograms in micrograms?\nAnswer: 581948100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 22 and 80\/(-260) - (-285804)\/39?\nAnswer: 80608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1 - -3. Let x be 2\/15 - (-354)\/45. Suppose -j*y = x - 0. Let q(f) = 4*f + 6. Give q(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -7 + -13 + 25 - (8 + 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 113, 2\/5, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 4 (base 16) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) be the first derivative of 167*s**2\/2 - 106*s - 231. List the prime factors of h(8).\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k - k - 17 = -5*h, 5*h - 3*k = -7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 2*r**2 + 44*r. Let o(t) = t - 6. Calculate a(o(c)).\nAnswer: 2*c**2 + 20*c - 192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -68*s**2 + 42*s**2 - 7 + 2*s**4 + 9 - 128*s + 27*s**2 to i*s**4 + t*s + z + w*s**3 + r*s**2 and give t.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 40144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -780072, -780780, -781488, -782196?\n\"Answer: -708*b - 779364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = -107*v**2. Let z(d) be the first derivative of d**4\/6 - 61*d + 65. Let g(a) be the first derivative of z(a). Calculate g(w(f)).\nAnswer: 22898*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 954.4763411 + -13.061\nAnswer: 941.4153411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**7*g\/((g**1*g)\/g)*g**0\/g*g*g**(-1\/2) assuming g is positive.\nAnswer: g**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -2029, -2030, -2031?\n\"Answer: -t - 2028","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = 6 - 4. Let d be ((-3)\/(-2))\/(3\/4). Factor t*m**4 - 6*m - 12*m**2 + 3*m + d*m**4 - 5*m.\nAnswer: 4*m*(m - 2)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in 3\/8, 76, -1028, -1.1, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 198 and 24?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-4 + 5)\/((-12)\/24)*(-39)\/884\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -94*b**3 - 144. Let t(a) = -93*a**3 - 144. Let j(o) = -5*t(o) + 4*w(o). Find the first derivative of j(q) wrt q.\nAnswer: 267*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4530119, -9060475, -13590831, -18121187, -22651543, -27181899?\nAnswer: -31712255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 25097361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r = 24 + -12. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/4 in 4, -4, 7, -13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = 153 - 120. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6*u**2 + 3*u**2 + u**2 - u)*(-3*u + 2*u - u).\nAnswer: 4*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, u: 3}. What is prob of picking 1 x and 1 u?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let -136*x**3 + 39*x**3 + 96*x**3 - 8*x - x**4 + 10*x**2 = 0. Calculate x.\nAnswer: -4, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 318216680?\nAnswer: 2, 5, 7955417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57 = -2*f + 31. Let q be (1 + f)\/(6*(-6)\/24). Suppose -q = -2*k - 2*b, -k - 3*b + 8 = 2*b. What is the closest to -2\/3 in 0.1, 2\/3, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 1\/10 of a century?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 56\/741 and -17\/9.\nAnswer: 2223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 70777 times -5?\nAnswer: -353885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 1193 + 1012 = 0. Let j = -435 + p. Solve h = 2*h + 5*c - 8, 5*c = -2*h + j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2 + 0 - 1)*(0 - 2 + 1)*((a**2 - a**2 + a**2)*(4*a - a - a) + 290*a - 290*a + 16*a**3) to the form w*a + y*a**2 + x + q*a**3 and give q.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*g**2 + 16*g - 16 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*d**2 + 3*d - 4*d + 5*d**2.\nAnswer: 7*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = q**3 - 4*q**2 - q + 6. Let v be 24\/(-30)*(0 - 5). Let l be s(v). Suppose -2*x + 288 = l*x. Is 18 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) be the second derivative of h**4\/72 - h**3\/9 - h**2 + 26*h. Factor c(l).\nAnswer: (l - 6)*(l + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -k - 6. Let r be v(-5). Let q be 10\/(2 + r + 1). Let l(c) = c**3 - 5*c**2 + c - 2. Is l(q) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -472, -946, -1420, -1894, -2368, -2842?\nAnswer: -3316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(a) = 1075*a + 128976. Determine j(-120).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.1154 (b) -1\/7 (c) -1\/172\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 259640, 259646, 259656, 259670, 259688, 259710, 259736?\n\"Answer: 2*b**2 + 259638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -406109*v + 406193*v + 3 - 9 to o + t*v and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 14160 and 215055.\nAnswer: 885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = m**2 + 5. Let d be f(0). Suppose 47 = -2*x + 5*x + 2*i, d = 5*i. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -788836*g - 788844. Determine b(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -144, -143, -146, -153, -164, -179?\nAnswer: -198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*x + 4*x - 4*x - 2*x.\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = 7*w - 41. Let q be r(8). Suppose q + 69 = j. What is the highest common divisor of 36 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0 + ((-1)\/1 - -5). Suppose 4*k = f*t - 108, k = -0*k - 3. Suppose t + 3 = 3*c - 3*n, -44 = -4*c + 2*n. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 791883928 to the power of 1\/3, to the nearest integer?\nAnswer: 925","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3)\/4*(0 - 4). Let o(i) = 2*i**2 + 3. Let j(q) be the third derivative of q**5\/30 + q**3\/3 + q**2. Determine r*j(k) - 2*o(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 44086824?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3*65*(-8)\/(-120). Suppose w*t - 173 + 108 = 0. Calculate the remainder when (18\/4)\/(2\/12) is divided by t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -19607 or -19606?\nAnswer: -19606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 7 divide 66871?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 505750 and 1734?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express -110*n - 2 - 52*n**2 - 117*n**4 + 49*n**2 + 110*n + 0 as r*n**2 + d + l*n**3 + m*n**4 + y*n and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8.7 + -9.3. Which is the biggest value? (a) 1 (b) 5 (c) -1 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a*a**23*a*a\/(a*a**(-22)))\/(a\/a**(-1\/11)*a\/a**(16\/9)) assuming a is positive.\nAnswer: a**(4622\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 12\/(-10) - 747\/(-1245).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express -76*v**2 - 57*v**2 + 2 - 2 as m*v**2 + p + o*v and give m.\nAnswer: -133","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 916733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(-16)\/u)\/u**(-18))**(2\/65) assuming u is positive.\nAnswer: u**(2\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = 47*x**2 - 1. Determine k(1).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 308906.\nAnswer: 2, 13, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1.872534 millimeters in kilometers?\nAnswer: 0.000001872534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 355 is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 25\/2 of a kilogram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1984\/31 + 0 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 613 is divided by 206.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 21 = 5*c, 4*n - 2*c + c - 15 = 0. Solve 13*d - 11*d = n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*b - 5*z - 116 = 4*b, -4*b + 124 = z. Suppose -2 = w + 2, -b = -4*i - w. What is the lowest common multiple of i and 8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (5 + (-132)\/30)*405. Calculate the greatest common divisor of 54 and q.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 367421 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Put -9537, -2, 8, -597 in decreasing order.\nAnswer: 8, -2, -597, -9537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*x - 5*a + 16, 2 + 8 = 2*x + 2*a. Suppose 0*y + x = 3*y. Solve -r - 1 = y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -111*h + 122*h - 10538. Does 77 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 25 (b) 0.2 (c) -22 (d) 2\/13 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((s\/(s\/s**(-6\/7)))\/s)\/s)\/(s\/s**8)*s**(-5)\/s**(-3\/8))**(-16) assuming s is positive.\nAnswer: s**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 19715315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 12305 is divided by 28?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 69775138 to the nearest integer?\nAnswer: 412","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let f = -27.86003 + -14.14058. Let c = 42 + f. What is c rounded to 4 decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 67, 46, 25, 4, -17, -38?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l - 10 = -3*j, 2*l = l + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 14 and 32*((-252)\/16)\/(-9).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.34 + 15.34. Which is smaller: -0.1 or p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 187 a factor of 1105820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = -2*f. Let w = -6 - -8. Let m(g) = -g**3 - g**2 + 2*g + 1. Let q be m(w). What is the remainder when 27 is divided by k(q)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of d**5 - 151870388*d**3 + 97*d**2 - 1859796*d + 1 wrt d?\nAnswer: 60*d**2 - 911222328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 2*o**2 - 46*o + 206. Let f be l(6). Solve 2*a + 2*k + 32 = 42, -f*k - 10 = -3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12 - 0 - (218 - 208) - 21) + -1?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -m**3 - 3*m**2 + m + 4. Let i be d(-4). Which is smaller: 15 or i?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-688)\/2064*18\/56*(-14)\/(-12)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put -69, -4, -17 in descending order.\nAnswer: -4, -17, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 424273266 and 5157?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -60*q + 1. Give g(-1).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -3*s**3 - 2*s. Let n(o) = -o**3 - 3*o**2. Let u = -1 - -5. Let x(q) = -4*q**2 + q. Let h(j) = u*n(j) - 3*x(j). Determine 3*f(v) - 2*h(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -43\/3020 and 57\/14?\nAnswer: 21140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 2220200 - -11?\nAnswer: 2220211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) be the second derivative of -q**3\/6 + 7*q**2\/2 - 4*q. Let k be r(6). Solve l + k - 2 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (s**(2\/7)\/s)**(3\/20)*(s**(-3)\/s)**(1\/5) assuming s is positive.\nAnswer: s**(-127\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = p**3 - 9*p**2 + 15*p + 40. What is the units digit of i(9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be -18*2\/((-4)\/6). Suppose -8*w - 56 = -6*w. Let j = m + w. What is the greatest common factor of 13 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1689938490.\nAnswer: 2, 3, 5, 56331283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 716151 is divided by 403?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 3973928?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 462640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be 21\/(84\/23268020) - 15\/3. Round u to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 738 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 810089273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (-6 - (-8 + -10)) + -5 + -19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:58 AM and 5:12 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 206566 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -3 + 142948?\nAnswer: 142945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 7}. What is prob of picking 3 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 1810733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 0*i**6 + 29 - 21 - 999*i**5 - 8 + 2*i**6 + 2324*i**2 wrt i.\nAnswer: 240*i**3 - 59940*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + s = 2*z - 383, -3*s + 15 = 0. Suppose -4*i + z - 13 = 0. Suppose 69 = 2*y - i. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -117976, -117556, -117136, -116716?\n\"Answer: 420*s - 118396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddts when four letters picked without replacement from sdssssssssdtdsssts?\nAnswer: 13\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = -18*s**3 - 24*s**2 - 14*s - 17. Is q(-5) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 1\/9 (c) -7 (d) 0.1 (e) -53 (f) -2 (g) 940\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j = -434 - -46. Find the common denominator of (j\/14)\/(24\/(-42)) and 35\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (((-12)\/(-3))\/2)\/2. Let u = j + 5. What is the units digit of ((-3)\/u)\/((-1)\/18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = 2*u + 10. Calculate the remainder when 4 is divided by w(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (20\/(-4))\/(50\/(-4)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*q**2 + q**2 + 0*q**2)*(15*q - 6*q - 7*q) + (4*q**3 + 2*q**3 - 5*q**3)*(-4 + 5 + 2).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u = -215 + 203. Which is the third biggest value? (a) -6 (b) 2 (c) u (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14664913 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 18881959 a multiple of 955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1685*j - 695*j - 997*j - 2 + 2.\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000090819686 rounded to seven dps?\nAnswer: 0.0000908","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f**2 + 7*f + 6. Let r be l(-5). Let m = 4 + -3. Let p be 18*m*r\/(-6). Round p to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -13.5 + 9.61. Let g = -0.11 + a. Put 0.1, -0.1, g in ascending order.\nAnswer: g, -0.1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -7*c**2 - 83*c - 132. Give m(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 9 + -5cfa5?\nAnswer: -5cf9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3\/(-9)*(-17 + -640) is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*q = g - 40, 41*q = 35*g + 46*q - 40. Let k(u) = u**3 - 7*u**2 + 6*u - 1. Let z be k(6). Sort -7, g, -3, z.\nAnswer: -7, -3, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 11.3 + -15.3. Let c = 1 - 0.6. What is the nearest to 2\/5 in c, g, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = 6*v - 3, 0 = -5*u - v + 75758. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -344503 - -312?\nAnswer: -344171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/z**(2\/9))\/z*z*z)**(-23)*(z\/(z*z**(9\/2)))\/((z\/z**8)\/z) assuming z is positive.\nAnswer: z**(-673\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = 115*m - 116*m + 19, 0 = -3*m + 5*c + 69. What is the second smallest value in m, 23, 1, 5, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/(-10) - (-720)\/50. Suppose 4*y - 2*i - 50 = 0, 11*i - 16*i - 41 = -4*y. What is the greatest common factor of p and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -m + 5*h = -911 + 881, 4*m = 3*h + 18 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 10 and 117.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12545076 is divided by 696947.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-11*1)\/((-395)\/(-10) - 6747\/173).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/7*105\/140*28\/3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*z**3 + 7*z - 7 - 2*z - 4*z - 4*z + 5*z + 2*z**2 to the form j + s*z + h*z**3 + x*z**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -261 - 11 = -4*p. Let f(a) = -2*a + 2. Let s be f(5). What is the remainder when p is divided by 6\/s - 95\/(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be ((-12)\/10)\/((-2)\/(-10)). Let t(c) = 3*c**2 + 3*c + 14. What is the units digit of t(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -49657116957 - 18.\nAnswer: -49657116975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (440\/33)\/((6840\/27)\/19 + -12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -4a (base 12) to base 7.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:27 PM and 6:47 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k = 37.095 + -37. What is k rounded to two decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -24112306*f**2 + 20748675?\nAnswer: -48224612*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:55 PM and 4:46 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -157*p*y*z**2 + 66*p*y*z + p*y - 49421*p*z**3 - 15541*p - 4*y*z**3 - y*z + z - 1 wrt z.\nAnswer: -314*p*y - 296526*p*z - 24*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l - 31 = -4. Let h = l + 27. Let x be (-2)\/(3\/((-18)\/4)). Solve -n + m + h = -4*m, 0 = x*m + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -84800 rounded to the nearest 1000?\nAnswer: -85000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -8 - ((-6455)\/(-70))\/(115\/(-10)) and -71\/112.\nAnswer: 2576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -4*g*m**3*s**3 + 24*g*m**2*s**3 - 8*g*m*s**3 + 4*g*s**3 wrt m.\nAnswer: -24*g*m*s**3 + 48*g*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 42, 88, 126, 156, 178, 192, 198?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-160 + 160 - 484*d**3)*(-2 + 2 - 12*d**2) + (d**4 + 2*d**4 - d**4)*(d - 4*d + d).\nAnswer: 5804*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) = 3*z + 1. Let q = -136 - -138. Let f(x) = 2*x + 4. Let c(t) = q*f(t) - 3*y(t). Determine c(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 29.2407 - 29. Let z = t + -0.24071171. What is z rounded to six decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6.5 + -0.5. Put -1, x, -2, -3 in descending order.\nAnswer: -1, -2, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 272, 276, 280, 284, 288?\nAnswer: 292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -101211 + -1020100211?\nAnswer: -1020202122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12794 = -13*p + 15786 + 40216. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -4*k**2 + 8*k - 66. Let w(u) = 7*u**2 - 8*u + 67. Let s(d) = 6*o(d) + 4*w(d). Solve s(a) = 0.\nAnswer: -8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0, -5.8, 132173?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) be the first derivative of -7*i**4 - 68*i**3 - 168*i**2 - 80*i - 7. Factor d(g).\nAnswer: -4*(g + 2)*(g + 5)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 4291679222 to the nearest integer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2208961?\nAnswer: 197, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - c - 24460 = 0, -2*t + 359 = c - 9432. Suppose 9*w + t = 30*w. Is w equal to 234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*w + 4788*w**2 + 0*w - 2114*w**2 - 2046*w**2.\nAnswer: 628*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 126029258.\nAnswer: 2, 63014629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = -8037 + 8041. Let y(f) = 2*f**2 + 17*f - 88. What is y(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.06 + 0.26. Let t = -2.1 + 2. Let w = j + t. Which is the smallest value? (a) 4 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000262950258 to 5 decimal places.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 6*r**3 + 121*r**2 - 458. Let x(s) = 9*s**3 + 182*s**2 - 686. Let t(p) = -8*m(p) + 5*x(p). Find the first derivative of t(v) wrt v.\nAnswer: -9*v**2 - 116*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*d**2 + 2*d**2 - d**5 + (-5 + 2 + 1)*(3*d**5 - 6*d**5 + d**5).\nAnswer: 3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*v**2\/9 + 1344446*v\/9.\nAnswer: -2*v*(v - 672223)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be 2*(-2)\/(-6) + 764\/(-1200). Is -1 >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 219429.6 milligrams to nanograms.\nAnswer: 219429600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -8, 11, 56, 139, 272?\nAnswer: 467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let 343*t**4 - 7595*t**3 - 6678*t**2 - 1924*t - 184 = 0. Calculate t.\nAnswer: -2\/7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j = 911 - 620. What is the tens digit of (-294)\/7*j\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 f when two letters picked without replacement from mnfdbfaa.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -14, -1, 1, 19, 0 in increasing order.\nAnswer: -14, -5, -1, 0, 1, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 40*f - 315. Calculate p(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41 = -5*t + 2*q, 3*t + 0*q = -3*q + 12. Let g be (14\/(-5))\/((-1)\/5). Calculate the highest common divisor of t and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1526229.\nAnswer: 3, 56527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t = 117 + -111. Let r = -59 - -101. Suppose 0*s - r = -t*s. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -204 + 190.1. Let f = p - -9.9. Let y = -0.15 + 0. What is the smallest value in y, f, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: (1 - 2) + (-21 - -23) - -14\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -6 times -6.5\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n = -3 + 7. Let d be n\/(-6)*(-3 - 0). Solve -j + 2 = 2*c, 3*c - 5 = j - d*j for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -36, -44, -52, -60, -68, -76?\n\"Answer: -8*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -7 + 5 + (-1 - 3) + -181 + 189?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 584 and 1460?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 33 divided by 16386?\nAnswer: 11\/5462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i = -33722 + 33833. Calculate the remainder when i is divided by 99.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 399 minutes after 9:33 PM?\nAnswer: 4:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 251875 and 4375.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = -2*x - 4 + 5*x + 1. Let h be 6*1 - (-11 + 10). Suppose -h*r - 5*z = -2*r - 20, 4 = 4*z. Calculate m(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-2)\/(4\/(1184\/37))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 457337099.\nAnswer: 137, 599, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.6878234 rounded to 4 dps?\nAnswer: -0.6878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 446632 divided by 223316?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*d = -18*d - 265605. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from sssssdsssds. Give prob of picking 4 s.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1309930730?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 6952249420?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 4673579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 27947, 70610, 113271, 155930, 198587, 241242, 283895?\n\"Answer: -s**2 + 42666*s - 14718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -14*d - 1. Suppose 3791 - 3641 = 50*h. Let g(s) = 14*s + 2. What is h*o(l) + 2*g(l)?\nAnswer: -14*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) -0.06 (b) 7\/5 (c) -1\/3 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 81 and 3078.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-2)\/m*m)\/m**8*m\/m**(-1\/4)*m**0)\/((((m\/(m**(1\/11)\/m*m))\/m)\/m)\/(m**(-6)*m)*m**(1\/3)\/m*m\/(m\/((m*(m\/m**(-1))\/m*m*m)\/m))*m) assuming m is positive.\nAnswer: m**(-2111\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a = 95 - 95. Suppose 3*t - 30 - 45 = a. Calculate the remainder when t is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-1)*l*l**(-3))**(-46) assuming l is positive.\nAnswer: l**138","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -22 - -31020343?\nAnswer: 31020321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -462505*t + 925385*t - 462874*t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -4*y**2 - y + 1. Determine i(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 2 + 111.6\nAnswer: 113.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -2a561 - -16?\nAnswer: -2a546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 41\/360 and 71\/81.\nAnswer: 3240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 23099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*h + 31 + 84 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the third derivative of -q**4\/24 + 2*q**2. Let y be d(-2). Suppose 0 = -2*h - y*c - 0*c + 98, -h - 2*c = -44. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6163840297 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 75 is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:59 PM and 6:13 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1263*v + 66*v**3 + 1263*v)*(3*v - 3*v - 3*v).\nAnswer: -198*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*t = 2*t, 3 = 3*b - t. What is the closest to b in 0.3, -0.5, -9?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + ((sqrt(180) + 0 - sqrt(180)) + -5 + (-4 + sqrt(180) + 0 - sqrt(180)) + sqrt(180))*6)**2*3.\nAnswer: -11232*sqrt(5) + 27552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*q - 245 + 240 + 213 = 0 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 18 and 3744.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 1194*c - 3895. What are the prime factors of z(33)?\nAnswer: 35507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*a = a + 727*m - 722*m + 17, 0 = -2*a + 4*m - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 10*t. Let h be f(1). Suppose -h = -0*r + 2*r. What is the smallest value in -0.4, 0, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 30523*l*z + 5*l - 45383191*z wrt l.\nAnswer: 30523*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 2, 5, -4, 45?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 81 is divided by (5\/(-10))\/((-1)\/42)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -155661630 (base 7) in base 4?\nAnswer: -220120220223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2? (a) 0.1 (b) -5 (c) -795\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -22\/41 + 28\/205. Sort v, -4, 0.17 in descending order.\nAnswer: 0.17, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) 2838 (c) -13 (d) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -754 = c - 5*z, -5*c + 4*z - 3048 = -c. Let k = 1612 + c. Calculate the highest common divisor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1.6, -0.5, 290, 5, -9 in decreasing order.\nAnswer: 290, 5, 1.6, -0.5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sum 1.3 and 2015469811.\nAnswer: 2015469812.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 558 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = b, -96*s - 4*b + 1260 = -131*s for s.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.1, -2, -1\/7, -4, 249\/4, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-21 - -8) + 57 + -14 + 0 + -10.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1036\/68 + (-92)\/391\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 650190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, 2\/7, -1\/3, -3, 7\/3 in ascending order.\nAnswer: -3, -0.4, -1\/3, 2\/7, 7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate -317 divided by 3.\nAnswer: -317\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 43608371?\nAnswer: 127, 343373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5651426 and 25476?\nAnswer: 4246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00330943793 to 7 decimal places.\nAnswer: -0.0033094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 50985 (base 10) to base 14.\nAnswer: 1481b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be -333*2\/(-21) - 4\/(-14). Which is bigger: t or -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -27 - (-31 - (-9 + -13)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 60 - (-11 + (-81 - -23)).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.39, 0.05, -0.2.\nAnswer: -0.2, 0.05, 0.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/((-1)\/(4\/(-4)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 64891700?\nAnswer: 2, 5, 648917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -117*h - 29045 = -122*h - 4*t, 2*h - 11618 = -2*t. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 15336385 by -31235.\nAnswer: -491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 7 - 17 = 0. Suppose o*c = -4*l - 12, 5*c - 15 = 6*l - l. Which is greater: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -101101111100000110100100 (base 2) in base 7?\nAnswer: -204234540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-153)\/(-85)*(-5)\/(-3). Solve k*p = 2 - 11 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(105)\/sqrt(80))\/(sqrt(60)\/sqrt(5))*-5)**2.\nAnswer: 175\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -53*q + q + 113*q = -96*q. Solve q = -5*h - 4*d - 10, -3*h = -6*h + 2*d + 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -557, -1115, -1673?\nAnswer: -2231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = 26 + -24. Solve f*p - 2 - 1\/2*p**2 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 7*h - 8*h. Let v = h + 5. Suppose 0 = r - v - 8. Calculate the remainder when 39 is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -668732? (a) -0.07 (b) -0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2464036019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 + (-23 - 9 - (4 - 17))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*x + 5 - 5 + (1 - x - 1)*(-4 - 8 + 4)*(-2 + 4 + 0).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -16835554*m**5 - 7765*m + 1169 wrt m.\nAnswer: -336711080*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -1, -2\/18071 in descending order.\nAnswer: 4, -2\/18071, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -k**3 - 42*k**2 + 41*k - 63. Suppose -2*g + 68 = 5*x, -3*g + 73 = -x - 63. Calculate the remainder when g is divided by a(-43).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (0 - -9) + 6\/(-12)*6. Let u(c) = 129*c - 31. Is u(a) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:08 AM and 7:37 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 45 at most 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -l**3\/4 - 7022*l**2 - 47961840*l + 19039683456.\nAnswer: -(l - 376)*(l + 14232)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -1dbab1 (base 16) to base 6\nAnswer: -105432025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -529 - -533. Let k(a) = -2 - 24*a + a + 24*a. What is k(j)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/3 in -81, -204, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d be 4 + (-2)\/6*-3. Suppose o - 16 = 2*a, -3*a - d*o = 6 + 5. Let t(s) = s**2 + 6*s. Is t(a) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(3300)*2 + sqrt(3300))\/(5*sqrt(11)*2 - sqrt(11)))**2 + 2 + sqrt(3)*2 + (sqrt(243) - (-4 + sqrt(243))).\nAnswer: 2*sqrt(3) + 118\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ndyny. Give prob of sequence yyd.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -10100110111 (base 2) to base 7.\nAnswer: -3615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -1567, -1427, -1283, -1135, -983, -827?\n\"Answer: 2*s**2 + 134*s - 1703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) be the first derivative of -b**6\/2 - 18*b**5\/5 - 6*b**4 + 6*b**3 + 27*b**2\/2 - 959. Let z(h) = 0. What is h?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 10516 and 528.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k - 5*j + 148 = -513, -227 = k + 5*j. Let f = -2444\/11 - k. Which is smaller: 0 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1, 0.4, 1\/2, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16811 - 49321 = -10*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1524 + -2.81.\nAnswer: 1521.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11 = 3*w + 2*l, 4*w - 4*l = 2 + 6. Suppose -14*a + 19*a = 10. Solve -s = -w*s + a for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 21\/5 of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5873780 rounded to the nearest 10000?\nAnswer: 5870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y - 187 = 2*o, 0*y + 400 = -5*o - y. Let d = o - -245\/3. Which is the second smallest value? (a) -0.4 (b) d (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z**2\/11 - 1844*z\/11 + 336 = 0. What is z?\nAnswer: -924, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u = 29 + -31. Which is the closest to -2? (a) u (b) 3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c\/((c**0\/c)\/c))**17\/(c**2*(c*(c*c*c\/(((c**(-2)*c)\/c)\/c*c))\/c)\/c))**12 assuming c is positive.\nAnswer: c**540","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15*(-8)\/(-64)*(-660)\/75*-2?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = -166 + 96. Let u = s - -80. Calculate the highest common factor of 14 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*u**2 - 2 + 2*u**4 - 4*u**2 + 3*u**2 to d*u + f*u**3 + g + w*u**4 + s*u**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.23 in -1\/10, 10, 2, 4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*l - l - 24. Suppose 3*y + 21 = -l. Let i be 38\/9 - (-2)\/y. Is i > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -4*y**2 + y - 5. Let d(r) be the third derivative of r**5\/60 + r**3\/6 - 8*r**2. Determine -c(v) - 5*d(v).\nAnswer: -v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 - 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4 - -44. Suppose -k - d = -3*k. Let x(w) = 13*w + 95. Let z be x(-7). Solve 5*r = j - 3*j, z*j = k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -6 and -0.17.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8759865*j - 8759865*j + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide -200746381 by -6922289.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -z**3 + 154887*z**2 + 47992*z wrt z?\nAnswer: -6*z + 309774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 1158, 2303, 3448?\n\"Answer: 1145*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*g**2 + 0*g**2 + 3*g**3 - 8*g**3 + 0*g**2 + 0*g**2 - 3*g + g**3 + 3*g + (-3*g**2 + 5*g**2 - g**2)*(3*g - 3*g + 2*g) - g + g + g**3.\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -33260 divided by 3326.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -10203 by -7.\nAnswer: 10203\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -87*a - 46*a - 30942 + 30942.\nAnswer: -133*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let j be 13 + -4 + 3*(1 - 2). Let w be 45 + 6 + -3 + 0 - j. Solve -2*f + 3*r = 19, -5*f + 5*r - w = -7 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -b4 + -a043?\nAnswer: -a127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -15 + 8 + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 12*k + 18*k + 90 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 14066808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 255*c + 4 - 508*c + 267*c.\nAnswer: 14*c + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 4952287 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*u**3 - 2*u**2 + 2*u**2)*(-u + 7*u + u) to the form p*u**4 + o + f*u**3 + b*u + s*u**2 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 21091 to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -0.1, -4, 0.26, -5?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h = -40.8 + 35.8. Which is the third biggest value? (a) 134 (b) h (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6439, 12896, 19367, 25852, 32351, 38864?\nAnswer: 45391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 6230 - 758. Suppose 17800 = 8*x - u. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52238122639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r = 17.2 - -3. Let j = r + -20. Suppose p - 1 = 0, -2*p = 2*i + 2*p - 6. Which is the closest to i? (a) -3 (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/12)\/((47025\/(-798))\/165)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -v - 4. Suppose 0 = -v*f - 4*n + 44, 7*f - 5*f - 12 = -3*n. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 33662, -1, 7 in ascending order.\nAnswer: -1, 7, 33662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -1\/7 (b) 2\/5 (c) -2\/879 (d) -2901\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 4 (b) -3 (c) 585\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = -2*p + 20 + 2, 3*p = s + 19. Let n be 2\/6 + (-78)\/(-9). Suppose 5*l - n = -4. What is the third biggest value in -4, 1\/8, p, l?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -7b55 (base 14) to base 5\nAnswer: -1141224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -48, -80, -144, -252, -416, -648, -960, -1364?\nAnswer: -1872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i be (5 + -1)\/(6\/(-5 + 53)). Let p = i - 30. Put 1, p, 9 in descending order.\nAnswer: 9, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-20319*o**2 - 38*o + 20322*o**2 + 5 - 6)*(-o + 1 - 1) to the form a*o**2 + h*o + m + y*o**3 and give a.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 3026772 a multiple of 1278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -745*a + 1475*a - 728*a + 0 + 4.\nAnswer: 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (0 - -1) + (4 - (12 + -2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*d + 2*d + 6*d)*(-3 + 2*d**2 + 3).\nAnswer: 24*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -7337*w + 260. Let f(b) = 13*b - 1. Let c(t) = 2*f(t) - k(t). What is the first derivative of c(h) wrt h?\nAnswer: 7363","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = s**2 + s + 19. Let b be (-5)\/5 + 1 + 0. What is the tens digit of r(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43*j + 40*j + 63 = 0. What is the greatest common factor of 35 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -343026.83 - 10.218.\nAnswer: -343037.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -165 - 160 - 161 - 164 - 3*v + 644 + 4*v.\nAnswer: v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28*n + 487*n**3 + 26*n + 20 - 20 - 489*n**3.\nAnswer: -2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) be the second derivative of a**5\/10 + a**4\/4 - 2*a**3\/3 - 9*a**2\/2 - 250*a. Let m(g) = 2*g**3 + 3*g**2 - 5*g - 10. Give 5*d(z) - 4*m(z).\nAnswer: 2*z**3 + 3*z**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0003088 to 5 dps.\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = 27*d + 16*d + 5*d - 13*d - 25. Let a(r) = 3*r - 2. Let g(y) = 25*a(y) - 2*b(y). Let i(z) = -z**2. Give i(g(p)).\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -1220607*k**3 + k**2 - 520694*k?\nAnswer: -7323642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b + 32 = 2*z - z, 5*z - 5*b = 160. Does 16 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -7 - -4. Let i = 2.8 + c. Let s(t) = t**2 - 4*t + 1. Let a be s(3). What is the closest to a in -4, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 579940 and 12087955?\nAnswer: 1355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 610 minutes before 8:57 AM?\nAnswer: 10:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 368 - 371. Sort 2, u, 10.\nAnswer: u, 2, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = -z**2 + 58*z + 148. Let n be c(60). Solve n*j + 25 = 23*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes after 12:22 PM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -644402 times -0.4?\nAnswer: 257760.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 58406 is divided by 98.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -4039605 divided by -69?\nAnswer: 58545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 3, m: 1, u: 1, h: 2, t: 5}. Give prob of picking 3 t and 1 z.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -108*j - 2 - 1 - 37 + 37 + 5.\nAnswer: -108*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be 170*((-2)\/(-18))\/((-20)\/(-90)). Let f = s - 68. Let b = 158 + f. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = -12*q**3 - 5*q**2 - 28*q - 5. Let h(f) = -7*f**3 - 3*f**2 - 13*f - 3. Give 5*h(j) - 3*u(j).\nAnswer: j**3 + 19*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q be 3 - (0 + (-68)\/(-20)). Let k = 0.97 + -0.47. Let p = 0.3 - 0.5. Which is the second biggest value? (a) q (b) k (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -9206.46 * -0.5\nAnswer: 4603.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*n - 56 = 5*n. Let p = 140 + n. What is the greatest common divisor of p and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 - -1 - 9 - -6\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 2, 64, 0 in ascending order.\nAnswer: 0, 2, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -74 = -10*p + 6. Let r be -24*6\/(-60) - (-2)\/(-5). Solve r*y - p - 2 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 110\/(((-9065)\/74)\/49).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = 25*u**3 - 6*u**2 + 2*u - 5. Let r be d(5). Let m = -5714 + r. Let w = m - -21959\/8. Calculate the common denominator of w and -11\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2645203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 826.5411 decades in years?\nAnswer: 8265.411","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-176*v - 73*v + 154*v)*(-2 + 0 - 1) - 12*v - 3*v + v as s + y*v and give y.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -4*r + 26. Let h(w) = -6*w**3 + 3*w - 2. Let n be h(1). Let b be (-6 - -4 - n) + 3. Let y be x(b). Solve -f = -y*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) = v - 8. Let j(o) = 10. Let b(z) = -5*d(z) - 4*j(z). Let q(p) = -7*p. Calculate b(q(l)).\nAnswer: 35*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -1054815 divided by 5?\nAnswer: -210963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4080, 18501, 43290, 78447, 123972?\nAnswer: 179865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from yowysgysyo. Give prob of sequence yogw.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 22*f = 11*f + 4*d + 9, 5*d = -3*f - 95 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 2200, 4467, 6734, 9001, 11268, 13535?\nAnswer: 15802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 59 minutes after 6:57 PM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 42 = -0*o. Let a(l) = -40*l + 28. Let c be a(-1). Let u = c + o. Calculate the lowest common multiple of 3 and u.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 36, -1, 3 in descending order.\nAnswer: 36, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 110924330?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -22070, -36512, -50954, -65396?\nAnswer: -79838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/64 of a milligram in nanograms?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 635 + -635. Solve 3*l + l + 20 = n for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -37*r - 72. Let o be x(-2). Differentiate -2*j - 250 + 2*j + 166 - 77 - 107*j**o with respect to j.\nAnswer: -214*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6 + -6. Let y be r\/2 + (-14)\/77. Let w = 0.07744 - -1.92256. Sort -1, y, w, 0.3 in ascending order.\nAnswer: -1, y, 0.3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 44\/5 of a century?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j be 1 - (-116112)\/6 - 9. Suppose -j + 4156 = -4*z. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 800e (base 15) in base 13?\nAnswer: c3b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.1 - 0.14. Let r = -90726 + 90726.0399848. Let v = r + n. Round v to 6 dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2057291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f = -13489\/120345 + -1\/1695. Let n = f + -3343\/1207. Calculate the common denominator of n and -25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (24 - (6 - (24 - 36)) - -18) + -3?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j = 5.06891 + -0.06891. Sort -2\/5, -3\/7, j, 1\/4 in descending order.\nAnswer: j, 1\/4, -2\/5, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7200614 (base 8) to base 11.\nAnswer: 1089228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 173 - 176. Is 2.1 at most as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) -1\/2 (c) 19486 (d) 4 (e) 1\/8 (f) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*r - 3 = r. Let q = 2.101 + -5.08. Let n = q + -0.021. Which is the closest to r? (a) n (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g + g + 5*h = 11, 5*g = 4*h - 1. Suppose 2*v = -3*v + 40. Suppose g*j - 169 = v. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 6*y + 1. Let b(w) = 3*w. Let x be 3\/(-2) - 13\/(-2). Give x*b(g) - 2*k(g).\nAnswer: 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*t - 36 = -4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5577.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vkykakynvaany. Give prob of picking 1 a, 1 v, and 2 n.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be 11537 - 110\/(13 - 2) - (-4 + -1). What is the highest common divisor of c and 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 66864 by 199.\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*p + p**4 - 5*p + (59*p**3 - 44*p**3 - 252*p**3)*(4 - 4 + 2*p).\nAnswer: -473*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:21 PM and 10:11 PM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*v, -4*j - 16 = 28*v - 30*v for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*i = -771 + 120. Calculate the remainder when i is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 i when two letters picked without replacement from {r: 2, i: 1, k: 1, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w = -2*d - 39 + 10 + 11, -d = 16*w - 59 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -8731 - -8764 - (85 + 1)\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 309 is divided by (-9880)\/950*((-15)\/(-2))\/(-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -5*h - 403 + h + 2021. Is a(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 5 - 5. Suppose v*j + 350 = 5*j. What is the remainder when j is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -45, -76, -177, -384, -733, -1260, -2001?\nAnswer: -2992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) be the first derivative of 2*i**2 - 2*i - 6. Suppose n + 12 = -4*s, s = 3*s + 8. Let h be l(n). What is the highest common divisor of h and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 12299910 to the nearest 10000.\nAnswer: 12300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 491 minutes before 3:01 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = -4*v**2 - 6*v + 3. Let i(p) = p**2 + p - 1. Let l(x) = h(x) + 5*i(x). Give l(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2*-167.143841.\nAnswer: -334.287682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -53944, -107884, -161822, -215758, -269692, -323624, -377554?\n\"Answer: o**2 - 53943*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -292*p + 11740 + 59 = -55*p - 1473 for p.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (-5 - 6 - 7)*(51*b - 6*b - 127*b) + 2*b - 2*b + 2*b in the form w*b + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*h = 3*h + 4*g - 30, 15 = -5*h + g for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 - 4 - 2*w**2)*(-4 + 0 + 0)*(0 - 3 - 1).\nAnswer: -32*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j**3 + 14*j**2 - 14*j + 17. Let v be k(-15). Let a be 20 + (-12)\/4 + v. Let n(p) = 21*p + a*p - 37*p. Calculate n(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-x**2 + 0*x**2 + 0*x**2 + (1 - 1 + 2*x)*(-x + 0*x - x) + 3*x**2 - 3*x**2 + 2*x**2)*(-5*x**2 - 12 + 12).\nAnswer: 15*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = -11 + 7. Let f = 6 + q. Suppose f*n = -n + 48. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -242, -266, -292, -320, -350, -382?\nAnswer: -416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -33196*z - 10*z**2 - 9226*z + 3*z**2.\nAnswer: -7*z**2 - 42422*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 651 divided by 12\nAnswer: 217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 2*(4\/16)\/((-3)\/(-18))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 980313 and 4191.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 3\/4, 13, 4, -1\/2, 4.2, -53, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 14, 11, 4, -7, -22?\n\"Answer: -2*b**2 + 3*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - 9\/12)*4\/(-4).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Are 3007 and 3008 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2081?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssosoususuou.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (22\/12 + -2)*1*-2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 5\/8 of a century in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1146 or 1145?\nAnswer: 1145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z - 4*u + 56 = 0, 4*z - 52 = 2*u - 8. Suppose -j - 12 = -3*c, -3*c + 6*c - 3*j = z. Is 5 a factor of 3\/4 + 29\/c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-3 - (-6 + 3)) + 23 + 2. Let y = -24 + p. Sort -5, 18, y.\nAnswer: -5, y, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -y + 1. Let p(s) = -7*s - 1 + 4*s - 1 + 4*s. What is -5*c(i) - 3*p(i)?\nAnswer: 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y + 5*p + 4, -5*y + y = 4*p + 8. Let c = 15 + -12. Let b be y\/4*(-6)\/c. Solve i = -t + b, 4*t + 13 = 4*i - t for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -12 - -14. Let a be (-1561)\/(-63) - q\/(-9). Suppose -5*n = a, x + n = -4*x + 10. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/((5\/(-30))\/((-6)\/27)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -6 + 4. Let b be (k\/3)\/(-2 - 2619003\/(-1309500)). What is b rounded to the nearest 10000?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fourty-three halves of a microgram in nanograms?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 46 is divided by -3 + (12\/(-4) - -22).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert a03 (base 12) to base 4.\nAnswer: 112203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4515\/301*8\/560?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -568, -1107, -1648, -2191, -2736, -3283?\nAnswer: -3832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*l + 5*b - 85 = -10, -2*l = -b + 15. Factor l*j + 0 - 5\/2*j**4 + 0*j**3 + 5\/2*j**2.\nAnswer: -5*j**2*(j - 1)*(j + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) be the first derivative of 5*m**2\/2 + 52*m - 216. Let q = -34 + 24. Let k be b(q). Solve 2*y + 2 = -k for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o = -j - 3, -2*o + 391089*j = 391084*j + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -49309 * -5.\nAnswer: 246545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6 and 2736.\nAnswer: 2736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 8*p**2 - 3*p - 10. Let l be k(-2). Put 5, l, 1, -0.4 in ascending order.\nAnswer: -0.4, 1, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - -1) + -32 + 29?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 43864012 is divided by 102486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ttookttottottt. What is prob of sequence tk?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/6 and 93\/26108.\nAnswer: 78324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 1\/26 (b) -1 (c) 3\/8 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 4*x = -12, -3*x - 10 - 21 = -4*y. Which is the fourth smallest value? (a) 0 (b) y (c) -5\/2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 349 - 3*c - 925 + 168. Let l(k) = -3*k**2. Determine w(l(o)).\nAnswer: 9*o**2 - 408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -36*b**3 - 3*b**2 + 2*b - 149 wrt b.\nAnswer: -216*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put -55, 13, -1 in descending order.\nAnswer: 13, -1, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k be (2 + -1)\/((-2)\/(-8)). Suppose 2*i = -s - 0*s - 1, k*s = -5*i - 1. Is s != 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 66 + -60. Does 11 divide j\/(-51) - (-1230)\/51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 187539 (base 14) to base 4.\nAnswer: 3103101233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -304415510 (base 7) in base 2?\nAnswer: -1000100000010101000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 166, 227, 292, 361, 434, 511, 592?\n\"Answer: 2*w**2 + 55*w + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1304 - 7829\/6. What is the nearest to -1\/3 in x, 5, 0.4, -3\/28?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/((-105)\/(-3))*50.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {k: 12, n: 3}. Give prob of picking 1 k and 2 n.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = -2*r + r. Let i(g) be the third derivative of -g**6\/120 + 3*g**5\/20 - 7*g**4\/24 - g**3\/6 - 2460*g**2. Determine i(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = -u**3 - 3*u**2 + 13*u - 7. Let j = 8 + -14. Let m be d(j). Let k = 0.2 + -0.3. Which is smaller: k or m?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) be the second derivative of v**7\/252 + v**6\/30 - v**5\/40 - 7*v**4\/9 - v**3\/3 + 12*v**2 + 271*v + 1. Solve z(d) = 0.\nAnswer: -4, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.1? (a) -6275 (b) 4\/7 (c) -0.01 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -365.2 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 40 + 101a31?\nAnswer: 101a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 37 + (-29 + 24 - (-4 - -12)) - 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -122992359 and -55?\nAnswer: 122992304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 354437417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3714, -14669, -32970, -58653, -91754, -132309, -180354, -235925?\nAnswer: -299058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -0.13 times 0.5?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from zqzqz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) be the first derivative of 2*j**3\/3 + 1. Let m be 1\/(3*3\/18). Let i(a) = -6*a + a + m*a. Give i(h(b)).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (225*f**3 + 2379*f**2 - 2379*f**2)*(2*f**2 + f**2 + 4*f**2) - 5*f**5 + 6*f**5 + f**5.\nAnswer: 1577*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 4*a*d*j**3*t - 39*a*d*j**2 + 27*a*d*t - 49915*a*j**3 - 2*a*j**2*t + 11*d*j**2*t - 2*d*j**2 - j**3*t wrt j.\nAnswer: 24*a*d*t - 299490*a - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(t) = -5*t**3 - 2655*t**2 + 5341*t + 5900. Determine v(-533).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -2.57 times -0.378\nAnswer: 0.97146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 1 = -2*t. What is the greatest common factor of 7 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 96 and 376.\nAnswer: 4512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) = 2*a + 25. Is h(-4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 154260313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let s = -6.2 - -1. Let h = s - -5. Sort h, 3, -2 in ascending order.\nAnswer: -2, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 363\/13 (b) 3\/4 (c) -1\/5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = 83*u**3 - 3*u**2 - 3. Let y(i) = 20 + i**2 - 10 - 12 + 72*i**3 + 11*i**3 - 3*i**2. Give 2*t(p) - 3*y(p).\nAnswer: -83*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yfy when three letters picked without replacement from {f: 4, y: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -2 - 15510?\nAnswer: -15512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -73 times 1.01111\nAnswer: -73.81103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let r = 2 - 0. Let p be -3*(-1)\/3*4. Factor 2 + 6*c + 1 + p*c**r - 1.\nAnswer: 2*(c + 1)*(2*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1654002 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -25\/1046 and -55\/5822.\nAnswer: 3044906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Convert -1d32 (base 14) to base 11.\nAnswer: -4011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -414*u + 320*u = -284*u - 1330 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.1 or 14\/499?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) be the third derivative of n**6\/10 + n**5\/20 + 12*n**2. Find the third derivative of w(a) wrt a.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -26 + 62. Calculate the greatest common factor of z and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 28\/12 + 35 + 2812\/(-111)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 201 - 198.98. Let u = 0.02 - j. Which is the nearest to 0? (a) 2\/3 (b) u (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6, -40, -124, -282, -538, -916?\nAnswer: -1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = 2*l - 1034, -13*l - 4*y + 1010 = -11*l. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -3954 - -3958. Let d(c) be the second derivative of 11\/6*c**3 + 0 + 13*c + 0*c**2 - 2\/5*c**5 + 0*c**h. What is the second derivative of d(t) wrt t?\nAnswer: -48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/7? (a) -5 (b) 3\/2 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*z - 13*z + 25789*z**2 + 42*z.\nAnswer: 25789*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x = 468711 - 7965586\/17. Let l = x - 147. Put l, 2, -1.16 in descending order.\nAnswer: 2, l, -1.16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2409373.07 rounded to the nearest 10000?\nAnswer: -2410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let q = 27 - 25. Let c(u) be the second derivative of -1\/12*u**4 + 4*u + u**3 - 1\/2*u**q + 0. Calculate c(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*g**3\/9 + 14902*g**2\/9 - 29798*g\/9 + 4966\/3.\nAnswer: -2*(g - 7449)*(g - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p be (5\/(-4))\/(11\/(-44)). Let t(k) = -k**2 + 4*k + 10. Let y be t(p). Solve 4 = -2*o - 3*g, -g - 8 = y*o - 6*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -54267 minus 7365.08?\nAnswer: -61632.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*u**2 - 1981017*u + 9905010.\nAnswer: 3*(u - 660334)*(u - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 52535787 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 13, -9, 4, -3 in ascending order.\nAnswer: -9, -4, -3, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -6, -53, -146, -297, -518, -821, -1218?\nAnswer: -1721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 11*v - 677 + 446 = 0. Calculate the remainder when 649 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -3929*p + 27521. What is g(7)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -7*u + 1061 = 1082 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 207*m**6 + 7*m**2 + 10 wrt m?\nAnswer: 24840*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v + 1264*x - 1263*x + 17 = 0, v + x = -15 - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(n) = 2*n**2 + 30*n. Let o be l(-15). Solve o = 5*s + 15, 2*t + 2 = -s - 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x = 6*x. Let m(w) be the second derivative of w + x - 1\/6*w**4 + 0*w**3 + 1\/2*w**2. Find the first derivative of m(s) wrt s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 545 + -509. What is the greatest common factor of r and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*n**5 + 1498*n**4 - 5*n**3 + 246*n**2 - 221*n + 8?\nAnswer: -120*n**2 + 35952*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 1, j: 2, u: 2}. Give prob of sequence jutj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 3*d - 21 = 0, 2*k - 5*k - 21 = -3*d. Let l = -2 - k. Suppose -l*p + 5 = -3. Which is the third biggest value? (a) -0.5 (b) p (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -7 (b) 96 (c) 881\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the third derivative of r**6\/180 - r**5\/120 + r**4\/12 + 8*r**3\/3 - r**2 + r. Let k(l) be the second derivative of s(l). What is k(-2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (4*(-4)\/(-48))\/((-4)\/12).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 97 is divided by 70.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -9\/10 (b) 3\/4 (c) 2 (d) 49\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 24 divide 327007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = -60*r + 2. Suppose 5*j - o = 2*o - 2, 5*j + 6 = -o. What are the prime factors of b(j)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t + 2*t = -7, -18 = 2*u - 54*t + 52*t for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) be the first derivative of 2*k**5\/5 - 3*k**4\/4 - 530*k**3 + k**2 - 2034*k - 2569. What is the second derivative of i(h) wrt h?\nAnswer: 24*h**2 - 18*h - 3180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -1 and -1\/4371 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/(480\/(-280)*21\/(-4)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -2 + 75?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1 at least 1\/9062?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let a = -23 - -41. Suppose 3*n - 5*b - 33 = -0*n, -2*n = -5*b - 27. What is the greatest common factor of a and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 116*d**2 - 21*d + 5. Is 47 a factor of h(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42*w + 106726 = 59*w. Is w a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -9 (b) 0.5 (c) 0.2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**4\/(a\/a**(5\/6)) assuming a is positive.\nAnswer: a**(23\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 75, 1.9, 0.4?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 45 = 5*y - 7*o, 0 = 2*y + 3*o - 13. Suppose 13*b = y*b + 950. Is b a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes after 1:00 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 3, r: 16, t: 1}. What is prob of sequence tr?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 33 to the power of 1\/10, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 664 minutes before 9:24 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9972*j**2 - 20155*j**2 + 10180*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*z - j = 3*z + 83, 2 = -j. Calculate the remainder when 159 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -4*t**3 - t**2 + 7*t - 5. Let h(w) = 5*w**3 - 8*w + 5. Suppose -3*q + 3 = 0, -3*q = 3*v - 2*q - 10. Let s(p) = v*h(p) + 4*d(p). Determine s(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-6)\/1*(-467)\/(-1868)*(-8)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (0 + (0 - -5) - (-98 - -41 - -125)) + 10.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -16136081701\/3334504 + 4\/416813. Let j = -4850 - t. Find the common denominator of -85\/8 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 - 143904984086.594.\nAnswer: -143904984082.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 4*o**2 + 3. Let d(m) = 20*m**2 - m + 16. Give 2*d(q) - 11*u(q).\nAnswer: -4*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be 0*(-1 - ((-6)\/1 + 4)). Let l be ((-8)\/(-618))\/(2\/3). Is l at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 = 2*s - 5. Suppose -s*u = -11 - 31. Calculate the remainder when u is divided by 4\/(-6)*(40 - 49).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -34 = 3*k - 2*u, 303333*k - 3*u = 303336*k + 10 - 1 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1050 is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 114385 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -2*t + 14. Let z be p(12). Let f be (6\/z)\/(5\/(-25)). Suppose -k - 10 = -2*o, -f*o + 5*o + 3*k = 2. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-3 - -43)\/((-6)\/24). Let p be -1 + m\/25 + (-2)\/(-5). Let n(a) be the first derivative of -a**3\/3 - 5*a**2\/2 + 4*a - 1. Give n(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -490 - -485. Put -0.22, v, 3 in increasing order.\nAnswer: v, -0.22, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(304) + 4 + sqrt(304)*-2 + 2)*2)**2.\nAnswer: -192*sqrt(19) + 1360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let y = -12 - -4. Let k = 5 + y. Is (-10)\/(1\/(k\/2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*y + y - 4*y + 5*y as p + w*y and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (1 - 1) + -66 + 157 + -47.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = 18*k**3 + 10*k**2 - 12*k - 11. Is u(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = -f**2 - 19*f + 9. Let p be 2\/((7 + -4)\/(-3)). Let z be (-114)\/9 - (8\/6)\/p. Let h be c(z). What is the highest common divisor of h and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -674, -1337, -2000, -2663, -3326, -3989?\nAnswer: -4652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 - 2*x + 2 + (-1 + 2 - 2)*(-2*x + 2*x + x) - 4 + 10 - 4 - 5*x.\nAnswer: -8*x + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -144 - -165. Suppose 4*p - 2*p = -4*l + 18, -p = 5*l - j. Let z = 15 + -11. Solve -4 = d - s, z*s + l + 1 = -3*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -92*g**4 - 5975*g**3 + 14650921*g**2 wrt g?\nAnswer: -2208*g - 35850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = r**2 - 11*r + 21. Let f = 40 - 35. Let k be -2 - (f - (-64)\/(-4)). Let i be n(k). Solve g - 4 = -i*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/5? (a) 4 (b) -1 (c) -5 (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(-5*(sqrt(336) + 1*sqrt(336))*-1)\/(3*(sqrt(48) + sqrt(48) + sqrt(48)*2)\/sqrt(4)) + -2)**2.\nAnswer: 40*sqrt(7) + 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(u) = u**2 - 7*u - 3. Let l be h(8). Suppose f + 1 = 0, -2 = 3*b + l*f + 3. Let k(w) = -2*w + 3. Let x be k(4). Sort 4, b, x.\nAnswer: x, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-45)\/(-20) + (-3)\/12. What are the prime factors of 6\/(r - 34\/20)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in ninety-one halves of a century?\nAnswer: 54600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 170 + -125 + -15 + -158?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = -k**2 - 42*k + 187. Determine o(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = 11*t**3 + 3*t**2 - t - 1. Let b(a) = -6*a**3 - 2*a**2 + 1. Let w(v) = 5*b(v) + 3*x(v). Calculate the remainder when 46 is divided by w(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2901 greater than 2899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u = 13 - 9. Let x(j) = -j + 5*j - 39 + 35 + u*j**2. List the prime factors of x(4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1256199504?\nAnswer: 2, 3, 7, 1543, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1.915 + -1.915. Let h = -52 - -48. Which is the nearest to 2? (a) h (b) -0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 9) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x = 12\/13 - 87\/52. Let a be (14\/35)\/(2\/(-20)). What is the second biggest value in -3, a, x?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 622?\nAnswer: 2, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = -91576*k. Let x(m) = -2*m**2. Calculate v(x(z)).\nAnswer: 183152*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out 2871 - 211.08034.\nAnswer: 2659.91966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -1848*v - 13 = -1860*v - 217 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 79\/438 and 131\/66.\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Divide 490798 by -4.\nAnswer: -245399\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.0481? (a) -1 (b) 4\/9 (c) 23 (d) 0.1 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 44210427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate (36\/(-70))\/(17\/(476\/(-6))).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = 11*d + 148. Let b be z(-13). Is 233*(-46)\/(-10)*b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1\/(((-27)\/12)\/9). Let h be (z\/(-12))\/((5\/(-6))\/5). Which is greater: h or -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*6*(0 + sqrt(176))**2*4*1.\nAnswer: -21120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(w) = -w**2 - 2*w - 1. Let f be m(-1). Solve f*t = d + 5*t - 10, 2*d - 5 = -5*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 19300385 to the nearest integer?\nAnswer: 4393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 19 and 2736.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 5*k**2 - 131*k - 6*k**2 - 221 + 2347*k**3 + 124*k - 130 + 3981*k**3 wrt k?\nAnswer: 37968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1917 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18, 18, 8, -18, -66, -142?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 19 + 11 + -24 + -3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z + 3*z - 5*m - 19, 0 = 3*z + 2*m + 5. Solve d + 2 = z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 3*j - 2. Let l be t(9). Let s be 4\/(-10) + 885\/l. Suppose -3*i + 143 = s. Is 9 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 143744006*3.\nAnswer: 431232018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10 - 18*g - 10 to m + l*g and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = v - 14 + 7. Suppose 6*a = 4*k + v*a - 469, 0 = 3*k - a - 357. What is the remainder when k is divided by (20\/2)\/((-1)\/(-3))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (1\/(-3))\/((-2)\/18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**(-13\/4))**(2\/7))**29 assuming m is positive.\nAnswer: m**(-377\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2 + 4*sqrt(637))*3 - (0 + (sqrt(637) + 4*sqrt(637) + -5 - sqrt(637)) + sqrt(637)))*5)**2.\nAnswer: 26950*sqrt(13) + 783350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.2 - 2.8. Let y = 1.03 - -224.97. Let v = y - 221. Which is the second smallest value? (a) d (b) 0.2 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) be the first derivative of 1042*u**3\/3 + 439*u + 1999. Find the first derivative of o(k) wrt k.\nAnswer: 2084*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 + 2 = -4*x. Solve 6 = -x*p + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + h - 831 = 0, -2*m + 4137 = 3*m - 4*h. Let c = m + -700. Calculate the remainder when c is divided by 27.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9743 - 24*d**2 - 9743.\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 562 (base 11) to base 4.\nAnswer: 22201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*r**2 + 3590*r - 17900.\nAnswer: -2*(r - 1790)*(r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from nrnyrrcuuyruryr. Give prob of picking 1 y and 3 u.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2469539 to the nearest integer?\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = -6.08689 + 0.31439. What is r rounded to 1 dp?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence moxp when four letters picked without replacement from mxssopjsssjssmo?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 2223.657 litres in millilitres?\nAnswer: 2223657","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r*r\/r**(1\/14)*r**(3\/13))**(-3\/14)\/(r**(-1\/2)\/(r**(-4)*r*r)*((r*r**(-3\/2)\/r)\/r)\/((r*r\/(r\/r**5))\/r)) assuming r is positive.\nAnswer: r**(14109\/2548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 284 is divided by 53?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 763375 (base 13) in base 4?\nAnswer: 22212020023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 1141, -1261, -5, -2.\nAnswer: -1261, -5, -2, 1141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w be 3\/2*10\/3. Solve 0 = w*q - 5*j, -2*q - q = j - 4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17 + 1 - -22 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(280)*2)\/sqrt(7))\/(sqrt(32)\/(sqrt(4) - -2*sqrt(4))).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ppppiippppi. What is prob of sequence ippp?\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 28*t + 46 = u - 7, -3*u = -3*u - 2*t for u.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in -13769, -10502, -7197, -3836, -401, 3126, 6763?\nAnswer: 10528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -6*u + 13. Let o(t) = 4*t - 2. Give 2*o(s) + v(s).\nAnswer: 2*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = a**3 + 12*a**2. Let d(n) = 2089*n**3 + 36*n**2 - 173. Let x(q) = 5*d(q) - 15*m(q). Find the first derivative of x(i) wrt i.\nAnswer: 31290*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (0 - 2) + 267 + 2. Let r = -189 + t. Suppose -43*w + 33*w = -160. What is the remainder when r is divided by w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 5*b**2 + 7*b - 15*b + 15*b**2 + 7*b to n + x*b + h*b**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -35*c. Let p = -2 - -2. Let g(n) = -n**2 + n - 1. Let z be g(p). Is v(z) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*(q**(-6\/7)*q)\/q*q*q**(2\/19)*q)**(-1\/43)\/(q*q**(-1)*q*(q\/(q**6*q))\/q*q**(-2\/9)*q*q\/q**(-2\/17)) assuming q is positive.\nAnswer: q**(3545785\/875007)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 2 - -15464000?\nAnswer: 15464002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand -z**2 + z**2 + 2*z**4 + (4*z**3 - 3*z**3 + 0*z**3)*(0*z + 0*z - z) + 4*z - 7*z**4 + 217 - 217.\nAnswer: -6*z**4 + 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -3*p**3 + 64*p**2 - 36*p + 320. What is f(21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-39)\/(-231) - 35\/49.\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zt when two letters picked without replacement from {m: 1, z: 3, t: 16}?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.22 + 2.22. What is the closest to p in 0, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h = j + 3, 192*j + 6*h - 49 = 187*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -2.3 - -1.3. Let b = 0.193 + 0.107. Sort 1.4, l, b in increasing order.\nAnswer: l, b, 1.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p + 2*p = 6. Let m be (27\/(-12))\/((-6)\/16). Solve 0 = k + a, 4*k - 5*a = m*k + p for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) be the first derivative of -5*f**6\/6 + 2*f**3 + 4. Find the third derivative of z(d) wrt d.\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6776 and 61996.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 13, 6, -5, -20, -39, -62?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out 1036 - -1332861486.\nAnswer: 1332862522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -y**3 + 7*y**2 + y - 8. Let c be d(7). Let k be 0 + 18*22 + c. Let r = k - 269. What is the greatest common divisor of 14 and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -148*-3.84\nAnswer: 568.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(k) = -2*k**3 - 181*k**2 - 647*k - 18230. Give h(-88).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 665 - 675 = 5*p. Let l be (-8)\/(2 + 1 + -5). Sort l, 3, 1, p.\nAnswer: p, 1, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) be the first derivative of -t**3\/3 + 3*t**2 - 6*t + 9. Let j be c(3). Solve -j = 5*d + 12 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7710827597*t**2 - 1842*t + 2*t**3 + 1842*t - 7710827597*t**2.\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 13 in 2.2, 5, -3, -3\/10, 0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**2 + 9*t + 19. Give w(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = -y**2 - 7*y + 2. Determine n(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 813, 1151, 1485, 1815?\n\"Answer: -2*o**2 + 344*o + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -1994*c**3*x - 3139*c**3 - 2*c**2 - 2*c*x - 6*x**4 + 17 wrt x?\nAnswer: -1994*c**3 - 2*c - 24*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 0 + 12 + -3 - 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = -m + 3. Let t be q(0). Suppose -t*w + 6 + 9 = 0. Solve 5*f - 9 = -4*n + w, -n + 5*f - 9 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 585 minutes after 7:51 AM?\nAnswer: 5:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 + 1 = v. What is the derivative of -m**3 + 0*m**3 - m**3 - m**3 + v wrt m?\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 109834 is divided by 646?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the third derivative of -7*p**6\/360 - p**4\/8 + 40*p**2. Let y(q) be the second derivative of t(q). Let a(f) = -4*f. Give y(a(u)).\nAnswer: 56*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 900 and 300?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -298484 divided by 5.\nAnswer: -298484\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u be 27\/(-63) - ((-6203)\/14539 - 0\/(-4)). Is 1 <= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3199 is divided by 178?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1370758 is divided by 29165.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*v + 54 - 10 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t be (2 - 9\/2)*-2. Suppose 2*u - 2*g = 2, -t*g + 3 = -u - 0*g. Suppose 471 - 227 = 122*z. Solve -z*b - u = 2 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 57652 and 473396?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 66, 72, 90, 126, 186, 276?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(w) = 6*w + 56. Let z(y) = -4*y - 37. Let g(q) = -5*j(q) - 7*z(q). Let k be g(-13). Solve d + 4 = 2*r - 0*r, -3*r = k*d + 7 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -54\/94241 and -67\/7000760.\nAnswer: 49005320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -780, -735, -694, -657, -624, -595, -570?\nAnswer: -549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -38*w + 43*w - 76 = 4*k, -6*w = -2*k - 94 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is ((-47)\/((-141)\/(-2)))\/(4\/54)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 225 a factor of 8769564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -2*w**2 - 3*w + 18. Let z be o(0). What is the greatest common divisor of 22 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -201*s**3 - 8*s**4 + 201*s**3 + 2 - s**4 - 2 + (-s**3 + 4*s**2 - 4*s**2)*(0*s - s + 2*s) - 16*s**4 - s + 8*s**4 + 0*s + 4*s**2.\nAnswer: -18*s**4 + 4*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let s = -61 - -69. Let j(r) = -r - 12. Let x = -10 - 6. Let t be j(x). Sort s, -5, t in descending order.\nAnswer: s, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = 2*g - 3*a, -3*g - 2*g + 4*a - 17 = 0. Let m(y) be the first derivative of -81*y**2 - 13*y + 1. Is m(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 37*b**3 - 2*b**2 + 6*b - 4. What is the remainder when 403 is divided by l(1)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2388 is divided by 51.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 9727162?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.051 - 36.051. Let p = z - -39.3. Let f = -3.257 + p. Round f to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -7 - 4763?\nAnswer: -4771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 3*d + 7*d + 23 = 0, -25 = -3*c + 5*d. Suppose 4*m = -i + 16, -4*m + 10 = 5*i - 6. Solve 41 = 4*u + 5*t, -m*u - 4 = -5*t + c for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 346.27 + -345. Let z = i - -0.03. What is the smallest value in -2\/31, z, 1\/4?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 10\/(-825)*-4437 + (-16)\/88. Let i = l - 869\/15. Is i != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 59 in 2, 9, -4, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*h + 10 = 14*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 2\/17 (c) 11 (d) -3045\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) be the third derivative of 0 + 0*x - 1\/9*x**3 + 5\/36*x**4 - 1\/30*x**5 - 2*x**2 - 1\/20*x**6. Let q(l) = 0. Calculate l.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 14 (b) 467\/22 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 468 and 7284.\nAnswer: 284076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 786999?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 85*j**3 - 102*j**3 - 2*j - 212686 + 2*j + 425379 - 212693.\nAnswer: -17*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 75 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i(p) = -14*p**2 + 184*p + 1. Let y be i(13). Solve 2*o - y = -33 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 565861, 566000, 566231, 566554, 566969?\n\"Answer: 46*i**2 + i + 565814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round 8.2976772 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + 34*i + 1 - 2 to the form p*i + j and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 4\/3 (b) -30 (c) -1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y be (177\/(-295))\/((-18)\/(-20))*(-65)\/26. Factor y*g**2 + 0 - 25*g.\nAnswer: 5*g*(g - 15)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 5 + -33?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = -i**3 + 5*i**2 - i + 7. Let v = 1 + 2. Suppose 6*g = v*g + 15. List the prime factors of t(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.4+-43070485\nAnswer: -43070484.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(209) - (sqrt(209) - sqrt(209)*-1)*4)\/(sqrt(11) - (sqrt(11) + (sqrt(396) - sqrt(11)))*2))**2*-5.\nAnswer: -4655\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 290 is divided by 286.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify u**18*u**19 assuming u is positive.\nAnswer: u**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l - 223*a = -227*a + 572, l = 2*a + 146. Calculate the remainder when 1138 is divided by l.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 53\/9 and 43\/14081925.\nAnswer: 42245775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 5*v + 10 - v**2 - 9 + 2. What is y(7)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 2097851 and 0.361159.\nAnswer: 2097851.361159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2.4 - -2. Let u be -7 - (25\/(-2) - (-66)\/11). What is the nearest to u in -5, z, 3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -29 = -2*q - 5. Let m(y) = -y + 1 - q*y**2 + 7*y**2 - 12*y**2. Let o(a) = -6*a**3 - 38*a**2 - 12*a + 1. Let f be o(-6). Calculate m(f).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**3 - 3*k**2 + 2472*k + 7414. Give x(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) be the second derivative of -j**5\/120 - j**3\/3 + 2*j. Let o(u) be the second derivative of n(u). Calculate the lowest common multiple of o(-8) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/8 + (0 + -1)*-1.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 4717 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-19)\/((-57)\/(-18)) - (-3 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 17780, 18606, 19432, 20258, 21084?\nAnswer: 21910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -2*z - 2. Let u be m(3). Let p = 16 + u. Suppose -p*h = -4*h - 28. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 equal to -0.38?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Work out 10.80233 + 0.3.\nAnswer: 11.10233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 206, 0.09, 0, 11?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the first derivative of 0*p**2 - 5*p + 1\/3*p**3 + 11. What is the derivative of y(t) wrt t?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 932 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert -39a5a (base 12) to base 5.\nAnswer: -10014040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = -1038 + 2181. Suppose -7*b + i = 2*b. Is 16 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 5*x = -27, -3 = -3*b + 7*b - 5*x. Suppose 18 = b*t - 2*l, -6*t - l - 6 = -7*t. Solve -2*w + 2*j = 12, -4*j + t = -2*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 2*m + 7. Let f be ((-1)\/m)\/((-2)\/3111). Let q = -799 - f. What is the common denominator of -17\/16 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 3, m: 15}. What is prob of sequence moo?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the third derivative of n**6\/120 - n**5\/20 - 5*n**4\/24 + n**2. Let k be u(4). Let g(x) = x**3 + 5*x**2 + 5*x + 1. What is g(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q + 0 = -3. Let d be ((2 + -2)\/q)\/1. Let l be 12 + d\/(4\/2). Calculate the highest common divisor of l and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 - (-5 + 12 + -3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a be (8\/40)\/((-1)\/(-31)). Let o = a + -6. What is the closest to -2 in -4, o, 4\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 53 + -71. Let o be ((-12)\/c)\/((-2 - -4)\/60). Suppose -12 = -o*h + 17*h. What is the least common multiple of 13 and h?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -5*q + 31. Let j be r(5). Suppose -j*a = -4*a - 8. Suppose 9 = -b - b - 3*u, -3*b - u = -a. Solve -5*z + 7 = l, 0 = l + b*l - 5*z + 22 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 52402 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 274847033?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + ((6*3*-2*sqrt(88))\/(sqrt(40)\/(-3*sqrt(5)*2)))**2.\nAnswer: 513221","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = 2544 + -3107.5. What is g rounded to the nearest 10?\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -28 + 29*h**4 + 28 + (3 - 4 + 3)*(4*h**4 - 4*h**4 + h**4).\nAnswer: 31*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -5 (base 7) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((3*sqrt(22) - sqrt(22) - sqrt(22))*2)\/((sqrt(2) - sqrt(2)*-5*1) + sqrt(2)))**2 + -5.\nAnswer: -201\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 320*v - 21. Let d(j) = 613*j - 43. What is 2*d(f) - 5*w(f)?\nAnswer: -374*f + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -11*(68 - 397129\/5841)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v = -2*v, 0 = 5*x - 5*v - 10. Suppose x*m - 5*m + 450 = 0. Calculate the highest common factor of 6 and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -l**2 - 3*l**3 - l**3 - 7*l**3. Calculate d(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence aaha when four letters picked without replacement from {a: 3, h: 1, j: 3, z: 5}.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {k: 2, r: 5, h: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 714bb (base 15) to base 10\nAnswer: 358826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 385 - 312 + 267 + 191*r**2 + 775 - 188*r**2.\nAnswer: 3*r**2 + 1115","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 142 divided by -859.\nAnswer: -142\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 51717.66l in millilitres?\nAnswer: 51717660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 25\/90*-51*(-1584)\/220?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 852.3208ug?\nAnswer: 0.0008523208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2294754 is divided by 256?\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: -24761274 divided by -8253758\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = 5*o**2. Let h(n) = 129930*n**2 - 610*n + 2440. Let j(v) = 640*v**2 - 3*v + 12. Let l(x) = -3*h(x) + 610*j(x). What is l(g(z))?\nAnswer: 15250*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*(-1 + (6*(sqrt(325) + 3) - sqrt(325)) + sqrt(325) + -4)*-1)**2.\nAnswer: 28080*sqrt(13) + 427284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + o - 366 = 91, 477 = 4*s + 5*o. Suppose 0 = -4*q + x + s, 0 = -4*q + x - 2*x + 119. Is q a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 93\/4 - 24. Sort q, -0.14, 1\/8 in increasing order.\nAnswer: q, -0.14, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1181 a factor of 703144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 145\/2854044 and -103\/5232414?\nAnswer: 31394484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 125403690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Subtract 5.9797306 from -0.8.\nAnswer: -6.7797306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 303013973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -616*b = -3465 - 18095 for b.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -8 (b) 2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 11.2 + -11. Let o = 0.32 - -3.68. Which is the third biggest value? (a) s (b) o (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - l)*(-2*l**2 + 0 + 0) + (5 - 13 - 13)*(2 - 2 - 2*l**3).\nAnswer: 44*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Let 13227769*m**3 - 145534555*m**2 + 320072*m - 176 = 0. What is m?\nAnswer: 4\/3637, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 5, -29, 1, -2 in descending order.\nAnswer: 5, 1, -2, -4, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = -20 + 178. Let w = k + -68. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from ooiooiiooooioo.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-304)\/(-48))\/((-2)\/(-6)). Let w(y) be the first derivative of -y**2\/2 + 22*y - 1. Let k be w(b). Solve -k - 1 = 2*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} {"text":"Question: Let p = 16883 - 16882.5. Which is the closest to 0.7? (a) 1\/8 (b) 0.4 (c) -86 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 328304 and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 642946 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -42*x**5 - 3 + 3 - 30*x**5 - 67*x wrt x.\nAnswer: -1440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 1106 - 533. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*m - 4*m**2 + 2*m**3 + 5*m**2 + 2*m**2 + m in the form i*m + k*m**2 + w + b*m**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 59*w - 55*w - 5*c - 175, 6*w + c = -1 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -0.022+-3.2\nAnswer: -3.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (d - 4*d + 0*d)*(295*d**2 - 226*d**2 - 201*d**2) + 4*d - 2*d**3 - 4*d.\nAnswer: 394*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -826*n = -825*n - 7 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2016 - -fe?\nAnswer: -1f18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} {"text":"Question: Let f be (4\/70)\/(2\/10). Let m(n) = n**3 + 4*n**2 + n + 6. Let z be m(-4). Let u = -0.1608 + 0.6608. Which is the smallest value? (a) f (b) u (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**2\/21 - 194*o\/21 - 3404\/21.\nAnswer: -2*(o + 23)*(o + 74)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-14)\/4)\/((4536\/(-96))\/27).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -7 - -7. Suppose -4*o = 2*v - 50, -v - v + 3*o + 64 = b. Let m = -33 + v. Let s(f) = -2*f - 2. Give s(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-1 - 18\/(-14)) + 0. Let g = 0.6 - 1. Suppose -3*j = 2*t - 9, -3*j + 9 = 5*t - 2*t. What is the closest to -0.1 in t, v, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*((sqrt(200)*5)\/(-3*2*sqrt(10)) + -5))**2.\nAnswer: 50*sqrt(5)\/3 + 350\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*n**2 - 59*n**2 + 3*n**3 - n + 28*n**2.\nAnswer: 3*n**3 - 23*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1710\/(-2736)*(-5888)\/115\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 85356509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + (sqrt(171) + 1 + sqrt(171))**2 + sqrt(19) + 3 + -4 + sqrt(304).\nAnswer: 17*sqrt(19) + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 873, 1011, 1139, 1257, 1365, 1463?\nAnswer: 1551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(s) = 3*s**3 - 3*s**2 - 5*s - 17. Let v(a) = -2*a**3 + 3*a**2 + 8*a + 17. Let i(r) = 3*g(r) + 2*v(r). Is i(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**1*b)**(7\/5)\/((b\/((b*b\/(b**(-2\/13)*b*b)*b)\/b))\/(b*b**(-6))))**(1\/42) assuming b is positive.\nAnswer: b**(-33\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*a**4 - 3485*a**3 - 810840*a**2 - 63243200*a - 62435840.\nAnswer: -5*(a + 1)*(a + 232)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(4 + sqrt(18)\/(sqrt(45)\/sqrt(5)) + 3 + sqrt(200) + (sqrt(200) - (sqrt(200) + sqrt(200)*1 + -1)))*-4)**2.\nAnswer: 4096*sqrt(2) + 16896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) be the third derivative of u**5\/180 - u**4\/18 + u**3\/6 + 4*u**2. Solve r(k) = 0 for k.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 206971489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: ((-14)\/21)\/(255\/18)*(-10)\/4\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from {i: 3, p: 1, v: 1, j: 4, e: 6, f: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -19 divided by 39.\nAnswer: -19\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k = -20 + 40. Suppose 4*s - 23 = z, 2 = -5*s + 4*z + 39. Solve -2*w + 5*f + k = 0, -w - 2*w - 5*f + s = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3.823791 + 10875.\nAnswer: 10878.823791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 1740 a multiple of 199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:26 AM and 5:14 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 84 and 6972?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = 11 + v + 40 + 6 - 5*v - 23*v. Let c be w(2). Solve 0 = -2*s - 7*s + c*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -21110*k**3 + 3*k**2 - k. Let n be ((-4)\/8)\/((-2)\/(-12)). Let z be d(n). What is z rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.325649 litres in millilitres?\nAnswer: 5325.649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -21 or -1\/13?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(a) = 9*a**2 - 1061*a - 14191. What is f(130)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 1680442, 3360883, 5041324, 6721765, 8402206?\n\"Answer: 1680441*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} {"text":"Question: Rearrange (b**4 + b**4 + 0*b**4)*(-718 - 332 + 1) to the form m*b**3 + u + r*b**4 + z*b**2 + s*b and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 31205, 62409, 93613, 124817, 156021?\n\"Answer: 31204*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = -8*o - 132. Let x be q(-17). Solve 0 = x*v - 8*v + 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -514, -1028, -1474, -1852, -2162?\n\"Answer: 34*u**2 - 616*u + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 28 + 1 + -4 + (9 - (13 - 10)) + 1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be 18\/81 - 34\/(-9). Suppose 2 + 10 = -x*o, 0 = 2*h - 3*o - 19. What is the third derivative of 27*u**2 + 87*u**5 + 0*u**2 - 55*u**h wrt u?\nAnswer: 1920*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6971462451 + -3?\nAnswer: 6971462448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(n) = -5*n**3 - 6*n**2 + 7. Let t(b) be the second derivative of -b**5\/20 - b**4\/12 + b**2\/2 + 4*b. Let f(x) = d(x) - 6*t(x). What is f(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1243737 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:29 AM and 6:53 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 20b82 + -c?\nAnswer: 20b73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -0.42 + -49468677.04807\nAnswer: -49468677.46807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -1 or 10\/27141?\nAnswer: 10\/27141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 87093 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 300 + 405 = 15*y. Suppose -y*k + 256 = -39*k. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 348*f*u**3 - 27*f*u**2 + 23075*f wrt u?\nAnswer: 1044*f*u**2 - 54*f*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 631581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -70 - 73 + 0*l + 143 - l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(p) = -5*p - 1. Let r(j) = 29*j + 3. Let g(b) = 20*b + 2. Let d(n) = -7*g(n) + 5*r(n). Give -3*d(t) - 4*l(t).\nAnswer: 5*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4660?\nAnswer: 2, 5, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s = -549 - -554. Solve -3*j = -7*j - c + 7, -25 = -s*j + 2*c for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from aaaaaaaadaaaaadaaa. What is prob of sequence ada?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2991 and 69011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the third derivative of 5*y + 1\/12*y**4 + 0 + 0*y**3 + 6*y**2. Let b(o) = -14*o**2. Give n(b(q)).\nAnswer: -28*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 49099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from llibbbbebyibbbybmbbb. Give prob of sequence ibb.\nAnswer: 11\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange u**2 - 2*u - 2*u**3 - 59*u**4 + 60*u**4 + u to the form k*u**4 + c*u**3 + p + g*u**2 + x*u and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Add together -282978995916 and -6.\nAnswer: -282978995922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -4\/9, -0.1, -0.05, 22, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 12, -5, -3, 1, -12 in increasing order.\nAnswer: -12, -5, -3, 1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 5677*a - 102194. Give d(18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -5 + 112527752?\nAnswer: 112527745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2 (b) 3\/4 (c) 3 (d) -18 (e) 2\/5 (f) -5 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 17 - (13 + 5) - -20\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -39999 < -40010?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 8 + 1 - -12 - 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 957442.\nAnswer: 2, 487, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = -t**3 + 3*t**2 - 2*t + 3. Let h be f(2). Sort 1, -6, h in increasing order.\nAnswer: -6, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*q**4 - 1998*q**3 + 318387*q**2 + 4755240*q + 16993200 = 0.\nAnswer: -7, 340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 - 1 - 1 - (-5 + 1 + 10).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5220 + 5245. Calculate the greatest common divisor of 17375 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, -1, 563, -4 in ascending order.\nAnswer: -12, -4, -1, 563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r - 12 = -4*r. Solve -p + r*p = -4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(1\/18)\/(p*(p*p**(-26))\/p))\/(p**25*p*(p*(p\/(p*p\/p**(2\/21))*p)\/p*p*p*p)\/p*p))**(-2\/93) assuming p is positive.\nAnswer: p**(509\/5859)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let c = -11 + 9. Is 1976\/6 - c\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = -24*d. Let u(v) = 121*v. Calculate -11*t(q) - 2*u(q).\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2453 and 46161?\nAnswer: 507771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is -0.0521 at least as big as -166431?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 13193 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -37*q**2 + 42*q**2 - 10*q**2.\nAnswer: -5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -181\/1932 and 115\/252?\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -161 + 185 + (2 - 24) - (17 + 1).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*x + 90*x - 274 - 584 = 0. Solve -16*k + x*k + y + 22 = 0, -2*k = 4*y - 22 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - (-9 + 11) - (2 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 83*i - 37*i - 36*i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c = -8*c - 2*w + 2, -4*c - 3 = -3*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/((-17)\/(-68)*-17*4)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (-1)\/(((-20)\/(-165))\/4). Let m = 27 + g. Let z(d) = d**2 + 7*d + 4. What is z(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2178491 and 644.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2852?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -5 - (-6 + 0) - (11 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 303746 is divided by 15708.\nAnswer: 5294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {m: 3, p: 1, z: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i = 22589\/41 + -551. Let z = i - 37\/82. Which is the third smallest value? (a) 2 (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -78*k + 46637 + 303973 = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qid when three letters picked without replacement from {b: 1, l: 4, q: 2, i: 2, d: 1}?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1 + 3. Suppose p + t = l, 12 = -2*p + p + 3*l. Suppose 0*x = -p*x + 18. Solve 3*m = x*m + 3*z - 9, 5*m - 12 = -4*z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be 8*((-5)\/(-20) - 0\/(-4)). Suppose -v + t*v + 8 = 3*i, -i = -v. Solve 6 = v*s - s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2175059 to the power of 1\/2, to the nearest integer?\nAnswer: 1475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 38 is divided by 27.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-36 - (-4 + -22)) + 24.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.01*-1425.\nAnswer: 14.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l = 61.9 - 62. What is the nearest to l in 2, -0.06, 5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 53121446?\nAnswer: 2, 7, 29, 130841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 6796005 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -4.74031 minus 0.81639?\nAnswer: -5.5567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -3*b**2 + b**3 + 3*b + 3*b**2 - b. Let j be n(2). Let a = 2 + j. Is a a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -3 (b) -337 (c) 5 (d) 2.21 (e) -4 (f) -1\/9 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -4 - -6. Let x = 1385\/36 + -153\/4. Which is the nearest to u? (a) -0.4 (b) x (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g - 3*g = -6. Let n(j) = 2*j. Let d(t) = 1. Suppose -17 = -5*f + 3. Let b(s) = f*d(s) + g*n(s). What is the first derivative of b(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -763*k**4 - 10976*k**4 - 2003*k**4 - 68*k + 68*k + (-1 + 1 + 2*k)*(2*k**3 - k**3 - 2*k**3) as g*k + a + h*k**3 + x*k**2 + f*k**4 and give f.\nAnswer: -13744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.3 - 0.2. Let y = 3.45 + -0.25. Let x = -3 + y. What is the second smallest value in 2, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j + 1. Let h(o) = o - 2. Suppose v - 2*v - 23 = 4*w, v - 2*w = 7. Calculate v*h(s) - 4*n(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u = -a - 27, 5*u + 72 = -3*a + 23. Is -14 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 31607282*q**4 + 869*q - 19486 wrt q.\nAnswer: 379287384*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k = 450.7 - 451. Which is greater: -12 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 13 + 1 - (137 - 138).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -4 (base 15) to base 9\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of -14 - -23 - (-1 - 783)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 18843 divided by 6\nAnswer: 6281\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 40 = -g + 37 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 454 + -436. Let x = -15 - -40. What is the remainder when x is divided by z - (3 - (-8 + 6))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6\/(-3))\/4*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 122000220 - -1001?\nAnswer: 122001221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) be the second derivative of -1\/20*c**5 + 0*c**2 + 0*c**3 + 0*c**4 + 0 - c. Let o(a) = 5*a**3 - a**2. Give -3*l(j) - o(j).\nAnswer: -2*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7335?\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m = -851 + 853. What is the greatest common divisor of 122 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14122 (base 10) in base 4?\nAnswer: 3130222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Express (-164 + 164 + 20*k)*(-k + 0*k - 6*k) + 3*k - 3*k - k**2 + k in the form m*k + a*k**2 + d and give a.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v + 353. Let r(t) = 3*t**2. Calculate r(y(j)).\nAnswer: 3*j**2 - 2118*j + 373827","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*o - o**3 - 43*o**2 + 30 + 37*o**2 - 30 + 2*o to r + v*o**3 + f*o + a*o**2 and give a.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) be the first derivative of -h**4\/4 + 5*h**3 - 15*h**2\/2 + 11*h + 433. Calculate o(14).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -45 - -99. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((i\/(i*i**1))\/i)**(-43))**(-31))**(1\/21) assuming i is positive.\nAnswer: i**(-2666\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = 1024*w + 2. Let h be d(1). Let z be h\/63 - (-2)\/(-7). Suppose 0*f - 8 = -2*f. What is the greatest common factor of z and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 9 + -16. What is the third biggest value in v, -2, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 589 minutes before 4:31 PM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h be (5 - 11)\/(3\/2). Let z = -152\/555 - 14\/111. Put z, h, -2 in ascending order.\nAnswer: h, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve b = 3*r + 11, -5*b + 34 = 3*r + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 87\/3 - (-7074)\/(-262)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(g) = 3*g**2 + 122*g + 152. Calculate a(-39).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -22418 divided by -1019\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) be the third derivative of a**6\/12 - 17*a**4\/24 + 21*a**2. Find the second derivative of b(s) wrt s.\nAnswer: 60*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 18 + 5. Let v = f + -40. Let l = 16.9 + v. Which is the nearest to -0.1? (a) 1 (b) -2\/11 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 312929 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) be the first derivative of -1\/20*p**5 - 1\/4*p - 1\/2*p**3 - 3 + 1\/2*p**2 + 1\/4*p**4. Factor z(m).\nAnswer: -(m - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 13*u**3*y**2 - 4506*u**3 + 223*u**2 - 765*y**2 wrt u?\nAnswer: 78*y**2 - 27036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d = 91928432 + -36643432. What is d rounded to the nearest 100000?\nAnswer: 55300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 26 - -2 - (100 + 9 - 102)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = 168*p + 433. Give k(-2).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (4*n + 0*n - 5*n + 1)*(25*n + 62 - 62) as t*n**2 + a + j*n and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -54 + 54 + 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 5479 or 34874?\nAnswer: 5479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (u - 2 + 2)*(-5*u - 5*u + 35*u) as g*u**2 + y*u + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 3940 is divided by 281.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -1a69 (base 12) to base 10.\nAnswer: -3249","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(b) be the third derivative of -b**8\/672 + b**6\/240 + 5*b**2. Let x(k) = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -3 + -3 + (-6 - -10).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*f**3 - 2*f - 2*f + 4*f.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.054176 * 0.5.\nAnswer: 0.027088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -j**5 - 292*j**4 - 239*j**2 + 58824*j - 19 wrt j?\nAnswer: -20*j**3 - 3504*j**2 - 478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*w + 4*w + 0*w)*(-3*w**3 - w**3 + 2*w**3 - w**3 + 0 + 0 + 0*w**3 - 2*w**3 + w**3 + (2 + w - 2)*(-w**2 + 0*w + 0*w)).\nAnswer: -35*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12121617.\nAnswer: 3, 71, 56909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) = y**2 + 11*y - 62. Is s(5) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1238 - 625. What are the prime factors of o?\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + 3 - 1 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0335523055 rounded to 2 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (20 + f - 20)*(1 + 14 - 1) in the form n + p*f and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t = 828 - 828.0583. What is t rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -163\/15220710 and 37\/1592865.\nAnswer: 136986390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-1 + 1 + -1)\/((-22)\/3938)?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r = 22*r - 4695103 - 79637497. What is r rounded to the nearest ten thousand?\nAnswer: 3830000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-8 - (2 + -6)) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in -15499, -30996, -46493, -61990?\nAnswer: -77487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 4\/13*h**2 - 2\/13*h**3 + 0 - 2\/13*h.\nAnswer: -2*h*(h - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose y = 2*y - 32. Let f(a) = -a**3 - 8*a**2 - 2*a + 7. Let c be f(-8). Let k = c + -12. What is the remainder when y is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 9632 and 9661 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:03 PM and 5:04 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 + 43. Let c be -1*n*-1 - -1. Suppose -4*p - p = -c. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 2407, 2272, 2149, 2044, 1963?\n\"Answer: o**3 - 142*o + 2548","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2 + -5 + 572\/26. Let m(r) = -133*r - 19. Let o(d) = -22*d - 3. Determine w*o(a) - 3*m(a).\nAnswer: -19*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = -3*c + 6*a + 126, -c + 5*a = -42. Let o be 46\/132 - (2 + 5)\/c. Put 20\/7, -2, o in decreasing order.\nAnswer: 20\/7, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -77\/4005 and 37\/40050.\nAnswer: 40050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = u + 5. Let y = 4 - 4. Suppose j = -y*j - 4. What is p(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 140322749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 + -14. Let z = 14 + y. Do 2\/15 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 - 3 + 775901*l.\nAnswer: 775901*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u**3 - 18*u**2 + 18*u + 26. Let w = -69 + 87. What is the units digit of t(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ap when two letters picked without replacement from {p: 1, e: 2, i: 1, d: 1, a: 1, l: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 22830 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: Determine g so that -g**5 - 82*g**4 + 985*g**3 + 64750*g**2 - 850644*g - 914328 = 0.\nAnswer: -83, -34, -1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-2)\/8 - 210\/(-40). What is the third derivative of -13*l**5 + 2*l**f - 10*l**2 + 8*l**6 + 11*l**5 wrt l?\nAnswer: 960*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 392 times 178394?\nAnswer: 69930448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let n be (3\/6)\/((-20)\/24). Which is the fourth biggest value? (a) 2\/11 (b) 2\/9 (c) 0.5 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (sqrt(19) - (sqrt(19) - sqrt(76)\/sqrt(4))) - sqrt(76)\/sqrt(4)*-6)**2.\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = f**3 + f**2 + f + 47. Is s(6) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3350000 to the nearest one hundred thousand.\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 5 + 7*l - 245*l**2 - 249*l**2 + 495*l**2. Suppose -v - s = -6*v + 5, -v + 3*s - 13 = 0. Suppose 0 = g + v*g + 4*f + 35, g = 3*f + 10. Determine d(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14 + 432*a - 4157*a - 14.\nAnswer: -3725*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 15*u - 7. Let s(d) = d**2. Determine s(k(c)).\nAnswer: 225*c**2 - 210*c + 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -12 + 17. Let v = 88.176 - 88.176. Sort -0.04, v, q, -3\/2.\nAnswer: -3\/2, -0.04, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 + 6 + -4 - 2 - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = -2*h**3 - 12*h**2 - 7*h - 17. Calculate the remainder when j(-6) is divided by (-22)\/(-5) - 16\/40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -1 + 3. Suppose -40*l - 31229 + 89549 = 0. Suppose 0*m - 2*m - 5*v = -l, w*m + 4*v = 1462. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 33628?\nAnswer: 2, 7, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.6 - 0.6. Let a = 1.9936 - j. What is a rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -9384 by -43.\nAnswer: 9384\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m(y) = -y**2 - 13*y + 17. Suppose -5*c = -0*c + 70. Let a be m(c). Solve -a = -d - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) = -1744*w**2 - 3493*w - 12. Determine k(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 16*u**3 + 20*u**2 + 23*u**3 - 20*u**2.\nAnswer: 39*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 8, 15, 26, 41?\n\"Answer: 2*t**2 + t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the second derivative of -r**3\/3 + 3*r**2 + 8*r. Let p be j(-4). Solve -3*n - 3*u + 2 = p, -3*u - 14 = n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -12 - u**2 + 12 + u + u**2 - u + (2*u - u - 2*u)*(-u + 0*u + 0*u) + 3*u + u**2 - 3*u - 10*u**2 - 3*u**2 - 10*u**2 to x*u**2 + f*u + k and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*m**2 - 936324 + 2*m**3 + 103*m + 5*m**3 + 2*m**3 + 936326 + 5*m**2 - m**4 to the form s*m**3 + i*m**4 + p + g*m + k*m**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2 + 3*8\/12. Let q(f) = f**2 - 11*f + 5. Let x be q(11). Solve -x + o = -b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 131*f**3 + f**2 + 9. What is the thousands digit of v(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1887 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r = 42 + -39. Solve -r*b + 8*b - 10 = -5*h, 8 = h - 5*b for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 359 is divided by 35.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5 - 14*r**2 - r + 5 - 4*r**2 to the form p*r**2 + u*r + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0 - 2)*(-1 - 2 + 5)*((1 - 1 + 2*v)*(0 - 1 + 2) - 2*v + 0*v + v + 122 - 54*v - 122).\nAnswer: 318*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 595 minutes before 7:05 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let m = 13 + -8. Suppose -3*h + 0*h + 3*o = -12, 0 = m*o. Suppose 3 = 2*a - 17. What is the highest common factor of a and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (12 + -2)*(-40)\/200?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(y) = -3*y + 7. Let k(i) = -24*i + 57. Determine 33*f(j) - 4*k(j).\nAnswer: -3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m = -7.199 + 6.899. Let q = 0.15 - -0.15. What is the third biggest value in m, 2\/3, q, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*i + 3*v + 45 = 0, 172*i - v = 176*i - 15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -6322*l**5 + 1988*l**2 - 70441686*l.\nAnswer: -126440*l**3 + 3976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = -2*n**2 - 821*n - 4459. Give s(-405).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 4*q - 24576 = -w, 5*q + 49100 = 4*w. Suppose 8*p + 1384 = w. Is -2 + 1 + p*(-5)\/(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -167*j + 2166. What is z(13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = r**2 - 12*r + 13. Let q be k(11). Let b(p) = 2*p**2 - 3*p. Let c be b(q). Suppose -4*v = -c*g + 4*g - 8, 0 = -v + 1. Solve -g + 0 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -124659778 take away -0.4?\nAnswer: -124659777.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 328 - -101051\nAnswer: 101379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(76) - (sqrt(76) + -5 + -1 + sqrt(76))) + 2.\nAnswer: -2*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -12545\/1956 + -1\/326. What is the common denominator of 37\/212 and i?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*q + 80 - 395. Let c be (-26)\/(-36) - (-1 + (-55)\/q). Factor -c*t + 0 - t**2 - 1\/2*t**3.\nAnswer: -t*(t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = t**3 + 3*t**2 - 4*t - 1. Let m(n) = -n**3 - 6*n**2 - 3*n + 6. Suppose -18 = 4*d + 2. Let c be m(d). What is f(c)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-12)\/(-64)*8 - 9\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 c when two letters picked without replacement from {w: 2, c: 2, j: 1, t: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2262*f + 471*f + 807*f to the form w*f + t and give w.\nAnswer: -984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 103\/431330 and -79\/14.\nAnswer: 3019310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-3)\/10)\/(-3)*31 + 15\/(-150). Determine z, given that 0*z + 0 - 9\/2*z**t - 3\/2*z**4 - 3*z**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2178730933 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-2 + 12 + -17)*-403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4026 + 4003.8. Let j = 1.1 + 20.9. Let t = j + r. Which is the fourth biggest value? (a) t (b) -0.4 (c) 4\/9 (d) -9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 15646 - -37?\nAnswer: 15705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 1503853 + -1b?\nAnswer: 1503835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2393 (b) 18 (c) -2\/3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000012101 to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 4.86 + -5. Let p = k + 0.64. Which is the biggest value? (a) 3\/4 (b) p (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-4 + 2 + 3)*(-14 + 14 - 111*o**4) in the form m + t*o**3 + d*o + x*o**4 + v*o**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (q**2 + 0*q**2 - 3*q**2)*(39*q**2 - 42*q**2 + 47 + 3).\nAnswer: 6*q**4 - 100*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -299 = -3*y - 296. Is y less than -3\/233?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*j**3 + 16*j**3 + 20*j**3 - 39*j**3.\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 493 minutes before 6:34 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (-1 + 0 + 3\/4)*52\/(-754)\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 12 and 1464.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1506093311.\nAnswer: 19, 317, 250057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -108792, -3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence skk when three letters picked without replacement from {k: 7, s: 5, a: 2, i: 3}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*f - 59 = -15*f - 2*y, 16 = -4*f + 4*y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -8, -10, -10, -2, 20?\n\"Answer: c**3 - 5*c**2 + 6*c - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 26*(3 - (((-11925)\/(-50))\/53 - (-5)\/(-1))).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1205.08 - 1205. Which is the second biggest value? (a) 4 (b) s (c) -0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 118 is divided by 37?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0 + (-1 - 1)*-1. Suppose -o*j + 27 = j. What are the prime factors of 6 - (-3)\/(j\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -0.1098615117 from 11.1.\nAnswer: 11.2098615117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 85034773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x - x + 0*x + (-549 - 177 + 5)*(3 + 2*x - 3).\nAnswer: -1443*x","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} {"text":"Question: Expand (-2*m**3 + m**3 - 2*m**3)*(10*m + 17*m + 34*m) + (-2*m**3 - m**3 + 2*m**3)*(-1 - m + 1).\nAnswer: -182*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -3, 7\/2, 3019?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -111938652 divided by -756\nAnswer: 148067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 5*f - 117 = 0, 4*f = -i + 2*i - 26. List the prime factors of i.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -3\/77, -11\/4734 in ascending order.\nAnswer: -5, -3\/77, -11\/4734","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -21*y**3 + 16*y. Let f(x) = 64*x**3 - 47*x. Let m(o) = 3*f(o) + 8*q(o). What is the second derivative of m(a) wrt a?\nAnswer: 144*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 11133310331 (base 4) to base 11\nAnswer: 8a4788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 8270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 496 minutes before 4:20 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u + 6. Calculate the remainder when k(6) is divided by (-12)\/(-4) + 0 + 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -62? (a) 0.4 (b) -0.06976 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*t**2 + 2*t - 4 + 4.\nAnswer: -17*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/16 + (10\/(-8) - 2). Let t be (-22)\/12 - -2 - 0\/c. What is the closest to t in -5\/3, -1, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4*n - 33*n + 7*n - 2*n - 6*n.\nAnswer: -38*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -137 - -121. Let t(a) = a**3 + 17*a**2 + 15*a - 4. List the prime factors of t(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -r - 1 - 9*r - 847*r**3 + 6*r + 423*r**3 + 422*r**3 - r**4 - 132*r**2 to z*r**3 + o + b*r**4 + f*r**2 + j*r and give f.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose w + 2*w + 31 = 5*y, 5*y - w - 27 = 0. Suppose 0*l = l + y. Let v be ((-2)\/l)\/(3\/45). Calculate the highest common factor of 3 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -571174*o. Let a(u) = -4*u. What is x(a(i))?\nAnswer: 2284696*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Work out -941284038418 - 1.21.\nAnswer: -941284038419.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = y - 1. Let i = -1 + 6. Let c be z(i). Suppose 3*t - 30 = -g + 11, 4*t - 124 = -c*g. Is g a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2403 and 9699309?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -2 (base 13) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 0 (base 3) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 1010 (base 3) to base 15.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -r**2 + r - 1. Let t(i) = -9*i**2 + 5*i - 5. Let c(j) = -j**3 + 3*j + 3. Let p be c(-2). Let u(m) = p*x(m) - t(m). Let w(a) = 2*a. What is u(w(q))?\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide 10521 by -7.\nAnswer: -1503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) = r + 12. Let i(v) = 6*v + 16. Let k be i(-3). Let q(j) = j**2 - 26*j - 78. Let p be q(29). Let x(g) = 3. Calculate k*s(o) + p*x(o).\nAnswer: -2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 634 minutes before 10:11 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 159*v - 72*v + 870 = 0 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -3*s**3 + 4*s**2 - 2*s - 2. Determine z(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from osoosoooosvsooooso. What is prob of sequence so?\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 0.3089472 decades?\nAnswer: 0.03089472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -814224981*w**2. Let d(z) = -z. Determine i(d(c)).\nAnswer: -814224981*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -4*f**2 + f - 2. Let u be n(1). Let z be (-1 - u)*(-18)\/(-24). Suppose -3*t + 11 = 4*y, -3 = 3*t - 6*y + z*y. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-1)\/2)\/(6\/(-60)). Suppose -r*b = -9*b + 180. Suppose -2*y + b = 3*y. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(a) = -2*a + 8. Let f(q) = -q + 7. Let h(i) = 5*f(i) - 4*y(i). Suppose 3*c = -2*l - 0 - 7, -3*l + 4*c = 2. Let m be h(l). Put -1, m, -4 in ascending order.\nAnswer: -4, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -731154*p**2 - 67*p - 32632385.\nAnswer: -1462308*p - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t**3 - 5*t**2 - 5*t - 4. Let o be b(-4). Suppose o = -l + 15 + 8. What is the remainder when (-440)\/(-15)*(-3 + (-27)\/(-6)) is divided by l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 + 34 = q + 4*j, 0 = -5*q - 2*j + 294. Calculate the remainder when q is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fourty-five eighths of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 365085 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 92353769 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -m + 18*a = -77, a - 18 - 19 + 38 = -4*m + 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 1, b: 1, o: 1, z: 1, a: 1}. What is prob of sequence oibz?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 34842 to the power of 1\/3, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 4086 = -4*i - 2618, -5*i + 20 = 0. Suppose y = a + 9*a. Does 34 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1137 is divided by 375?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-4)\/(-18) - (640\/45)\/(-8). Let i be (((-378)\/(-35))\/((-1)\/(-5)))\/d. Let v = i + -27. Solve 1 = -v*p - p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1671 is divided by 828.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 89 - 222 = -19*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 72 and 5?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -16300242 divided by 18481.\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = 2579*q**3 + 2*q + 1414. Let t(i) = -5158*i**3 - 5*i - 2831. Let l(o) = 5*r(o) + 2*t(o). What is the first derivative of l(g) wrt g?\nAnswer: 7737*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 597 minutes after 6:51 PM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -192*h**4 - 6*h**3 - 21447 wrt h?\nAnswer: -768*h**3 - 18*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.4 and -0.0068334.\nAnswer: 0.00273336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 237 minutes after 10:50 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5\/(-2)*((4 - 2) + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 862847328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/3 in -1, -1\/182, -0.028, -24, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} {"text":"Question: Let l be ((-2)\/6)\/((-1)\/(-3)). Which is bigger: l or -6\/47?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -102322, -102318, -102316, -102316, -102318, -102322, -102328?\nAnswer: -102336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -12.6428 * -0.044.\nAnswer: 0.5562832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 471122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**5\/5 + 6*c**4 + 32*c**3\/5.\nAnswer: -2*c**3*(c - 16)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (-45)\/60*-16 - 7429\/621?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(102)\/sqrt(6) + sqrt(17) + sqrt(17) - sqrt(17))*6*-6 + -5 + (sqrt(17) - (sqrt(17) - (sqrt(1377) + sqrt(1377)*3 - sqrt(1377)))))**2.\nAnswer: 450*sqrt(17) + 34450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -z**2 + 8*z. Let j be d(9). Let t = j + 17. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 a when two letters picked without replacement from aafaffaaff?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 10.10438ml in litres?\nAnswer: 0.01010438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*h + 0*h - 21*h**3 - 2*h.\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(z) = -3*z**2 + 3*z + 4. Let d be q(-1). Let v be ((-7)\/(-2) + -4)\/(d\/28). Solve v*m = -4*h + 3*m + 12, -4*h + 4*m = 28 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000000820968 rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1098235 is divided by 643?\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*n**2 - 3*n**2 - 3*n**4)*(13 - 5*n - 13) + 2*n**3 + 2*n**5 - 2*n**3.\nAnswer: 17*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 75 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 59 and 5782.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -10227*u + 25460 = -8887*u for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 s and 1 a when three letters picked without replacement from {s: 8, a: 1, l: 4}?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round -0.003556 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r = -2*z + 2, 4*r - 6 - 17 = -5*z for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = 3*n - 23. Let x be o(7). Put x, -7, -1, 1 in decreasing order.\nAnswer: 1, -1, x, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 122957 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12093.\nAnswer: 3, 29, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*w - 12*h = -10*h, 5*w - 2*h = 14. Solve 0 = -11*s + 12*s + 3*d + 1, -2*d - w = 2*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 58*y**2 - 5*y + 62*y**2 - 127*y**2. Let g(f) = 8*f**2 + 6*f. Let z(d) = 5*g(d) + 6*h(d). Let b(c) = -45*c. Calculate z(b(l)).\nAnswer: -4050*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 86839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1199\/2 - 586. Find the common denominator of g and 23\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = -12*i. Let x(y) = 227*y. Determine x(b(n)).\nAnswer: -2724*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w**5 + 13*w**4 - 103*w**3 + 301*w**2 - 451*w + 253. Let f(r) = r**4 + r**3 + r**2 + r + 1. Let y(o) = 4*d(o) + 12*f(o). What is j in y(j) = 0?\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -16800 = -679*c + 4928 for c.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 6410557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0 + -1)*1 - -1. Let h be 48 - -6*(-2)\/3. Suppose 3*c + 0*f = f + h, y = 2*f - 8. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -50.9884 - -51. What is z rounded to three decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 480, -1, 5, 4, -2\/7?\nAnswer: 480","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 1276436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q = -30762.985545 + 30763. Round q to 4 dps.\nAnswer: 0.0145","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*h + 3 = -6*h + t, 2*h + t - 3 = 0. Suppose r - 29 = -c - 4*c, r - c + 1 = h. Solve -3*s + 10 = r for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 5*p**3 + 49*p**2 - 432*p + 383. Calculate y(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -256 (base 7) to base 3\nAnswer: -12011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0 + 99. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4.8784 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 8147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -89, -100, -111, -122?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 162095.\nAnswer: 5, 17, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 88 - -1825. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -284, 8, 0, -27, -4, 6 in descending order.\nAnswer: 8, 6, 5, 0, -4, -27, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a be 4\/6*((-1162)\/(-7) - 7). Let z = 109 - a. Let t = z - -67. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/15? (a) 2\/5 (b) -0.07 (c) 377 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w = 4*v - 95, -w + 6*v - v = -19. Suppose 14*a + 170 = w*a. What is the remainder when a is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = 7*z - 4*z - 4294, 2*f = 2*z - 2876. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 5 + -12. Let u = -4 - t. Let r = -26.7 + 27.7. Is r >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 134806 to the power of 1\/3, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1\/19 - -17\/38. Suppose -5*j = 5*s + 20, 0 = -5*s + 3*j + 5 + 7. Let n = -0.2 + 0.3. Which is the nearest to n? (a) 3 (b) y (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/(-6)*(-1215)\/18. Let w(b) = 10*b + 90. Does 18 divide w(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13\/172 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -2, -331739 in ascending order.\nAnswer: -331739, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -80.3*0.02\nAnswer: -1.606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o = 4*r - 84, 3*o + 72 = 4*r - 7. Let t be (-12)\/(6\/r*-2). Suppose 3*m = 5*j - t, 5*j = j + 20. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (3\/(-4))\/(2\/(-520)). Suppose 5*n - 83 = -z, 0 = 4*n - 799*z + 795*z - 28. What is the greatest common factor of n and g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -11 - -7. Let u be (-3)\/(-5) + (-64)\/(-10). Suppose 3*r - 4 = -u. Which is the closest to 0? (a) -2\/3 (b) r (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*c**3\/3 + 301*c**2\/3 - 371*c\/3 + 74\/3 = 0 for c.\nAnswer: 1\/4, 1, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 0.5 * -17\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let y = 9.1 - 8.9. Which is the second smallest value? (a) y (b) -1\/10 (c) -19 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 7563268*j**4 - 32893407*j**2 wrt j.\nAnswer: 181518432*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -9155133*y**2\/8 - 247188597*y\/8 - 81\/4.\nAnswer: -3*(y + 27)*(3051711*y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.04 + 0.44. Let m = 21 + -20.5. Let o = h - m. Is -1\/3 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) = -g**2 + 3*g - 3. Suppose -56 - 29 = -5*h. Let v = 20 - h. Let x(l) = 2*l**2 - 5*l + 5. Let d(c) = v*x(c) + 5*p(c). Let y(m) = -14*m. Give y(d(u)).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l be -1 - 2\/(-5)*-5. Let r be (-18)\/15*20\/(-8). What is the smallest value in 1\/5, l, r?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 342\/76*2\/(-12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the third derivative of -m**4\/8 + m**2. Let s(o) = -3*o**2 + 9*o**2 - 5*o**2. What is i(s(r))?\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -150074 or 0.3?\nAnswer: -150074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 257, 552, 851, 1160, 1485, 1832, 2207, 2616?\n\"Answer: n**3 - 4*n**2 + 300*n - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 9 or 1248\/151?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -6, -201, -1314.7?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort 703, -4, -151867 in increasing order.\nAnswer: -151867, -4, 703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -169d3 (base 14) to base 10\nAnswer: -56829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 820 divided by -205?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence chcy when four letters picked without replacement from {i: 4, c: 4, h: 1, y: 6}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Divide 2075158 by 2075158.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -281*52447\nAnswer: -14737607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 1144 and 104.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = i**2 + 3*i. Let c be d(-4). Let r be (c - 7)*2\/(-12)*4. Let x(h) = -2*h**2 - 12*h + 17. Let w be x(-7). Solve -w*o = -4*o - r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 8*w**3 + 5*w**2 - 6*w + 8. Let t(x) = -9*x**3 - 6*x**2 + 5*x - 9. What is -6*t(p) - 7*y(p)?\nAnswer: -2*p**3 + p**2 + 12*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r = 44 - 19. Let d = 59 - r. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/7 in 0.4, -0.4, -4482, -55?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*p**2 - 1 + 5 - 19*p + 11*p**2 + p.\nAnswer: 2*(p - 2)*(4*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine c, given that 2*c**2 + 27742*c - 27744 = 0.\nAnswer: -13872, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f**2 + 309*f - 3510 = 0 for f.\nAnswer: 13, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 644280008 by 14983256.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1a + -4259?\nAnswer: -4275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 3*z - 20 = 0, 0 = -3*v + z + 1 + 7. Factor v*l + 15*l**2 - 30 - 19*l + 4*l - 24*l.\nAnswer: 5*(l - 3)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 25 + -22. Solve -3 = x*z - 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -4743987?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.16267 - 0.162673406. Round q to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 38 - -1*(-3 + -1) - -1. Suppose -5*g + 41 + 4 = 5*b, -5*b + 10 = 0. Calculate the highest common factor of c and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -50*d**3\/9 - 32918590*d**2\/9 + 6583724*d\/9 + 2633488\/9 = 0.\nAnswer: -658372, -1\/5, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Total of -2.4650179 and 0.05553.\nAnswer: -2.4094879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -y**2 - 22*y. Let i(p) = -6*p**2 - 174 + 174 + p**2. What is h(i(w))?\nAnswer: -25*w**4 + 110*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 2105 (base 10) to base 5.\nAnswer: 31410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 7465079099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 144 and 606?\nAnswer: 14544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*r - 4*g = r + 9, 3*g - 2 = -2*r. Let b(o) = -o**2 - 11*o + r + 0*o**2 + 0*o. Is b(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 0.09 - -0.91. Let k = 3 + j. Sort -1\/12, k, 5 in decreasing order.\nAnswer: 5, k, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.51 + 4.57. Let d = -0.06 + k. Let a = 9 - 6. What is the closest to -1 in -2, a, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}